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\begin_body
\begin_layout Title
Bioinformatic analysis of complex, high-throughput genomic and epigenomic
data in the context of immunology and transplant rejection
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\begin_layout Author
A thesis presented
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by
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Ryan C.
Thompson
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to
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The Scripps Research Institute Graduate Program
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in partial fulfillment of the requirements for the degree of
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Doctor of Philosophy in the subject of Biology
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for
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The Scripps Research Institute
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La Jolla, California
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\begin_layout Date
October 2019
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\begin_layout Standard
[Copyright notice]
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\begin_layout Standard
[Thesis acceptance form]
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\begin_layout Standard
[Dedication]
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\begin_layout Standard
[Acknowledgements]
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[List of Abbreviations]
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\begin_layout List of TODOs
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Check all figures to make sure they fit on the page with their legends.
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Search and replace: naive -> naïve
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Look into auto-generated nomenclature list: https://wiki.lyx.org/Tips/Nomenclature.
Otherwise, do a manual pass for all abbreviations.
Do nomenclature/abbreviations independently for each chapter.
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Make all descriptions consistent in terms of
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we did X
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vs
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X was done
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.
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\begin_layout Chapter*
Abstract
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It is included as an integral part of the thesis and should immediately
precede the introduction.
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\begin_layout Plain Layout
Preparing your Abstract.
Your abstract (a succinct description of your work) is limited to 350 words.
UMI will shorten it if they must; please do not exceed the limit.
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\begin_layout Itemize
Include pertinent place names, names of persons (in full), and other proper
nouns.
These are useful in automated retrieval.
\end_layout
\begin_layout Itemize
Display symbols, as well as foreign words and phrases, clearly and accurately.
Include transliterations for characters other than Roman and Greek letters
and Arabic numerals.
Include accents and diacritical marks.
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Do not include graphs, charts, tables, or illustrations in your abstract.
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\begin_layout Chapter
Introduction
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\begin_layout Section
Background & Significance
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\begin_layout Subsection
Biological motivation
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\begin_layout Itemize
Rejection is the major long-term threat to organ and tissue grafts
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\begin_deeper
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Common mechanisms of rejection
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\begin_layout Itemize
Effective immune suppression requires monitoring for rejection and tuning
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\begin_layout Itemize
Current tests for rejection (tissue biopsy) are invasive and biased
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A blood test based on microarrays would be less biased and invasive
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Memory cells are resistant to immune suppression
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\begin_deeper
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Mechanisms of resistance in memory cells are poorly understood
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A better understanding of immune memory formation is needed
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\end_deeper
\begin_layout Itemize
Mesenchymal stem cell infusion is a promising new treatment to prevent/delay
rejection
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\begin_deeper
\begin_layout Itemize
Demonstrated in mice, but not yet in primates
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\begin_layout Itemize
Mechanism currently unknown, but MSC are known to be immune modulatory
\end_layout
\end_deeper
\begin_layout Subsection
Overview of bioinformatic analysis methods
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An overview of all the methods used, including what problem they solve,
what assumptions they make, and a basic description of how they work.
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\begin_layout Itemize
ChIP-seq Peak calling
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\begin_deeper
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Cross-correlation analysis to determine fragment size
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Broad vs narrow peaks
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SICER for broad peaks
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\begin_layout Itemize
IDR for biologically reproducible peaks
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\begin_layout Itemize
csaw peak filtering guidelines for unbiased downstream analysis
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\end_deeper
\begin_layout Itemize
Normalization is non-trivial and application-dependant
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\begin_deeper
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Expression arrays: RMA & fRMA; why fRMA is needed
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\begin_layout Itemize
Methylation arrays: M-value transformation approximates normal data but
induces heteroskedasticity
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\begin_layout Itemize
RNA-seq: normalize based on assumption that the average gene is not changing
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\begin_layout Itemize
ChIP-seq: complex with many considerations, dependent on experimental methods,
biological system, and analysis goals
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\end_deeper
\begin_layout Itemize
Limma: The standard linear modeling framework for genomics
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\begin_deeper
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empirical Bayes variance modeling: limma's core feature
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\begin_layout Itemize
edgeR & DESeq2: Extend with negative bonomial GLM for RNA-seq and other
count data
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\begin_layout Itemize
voom: Extend with precision weights to model mean-variance trend
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arrayWeights and duplicateCorrelation to handle complex variance structures
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\end_deeper
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sva and ComBat for batch correction
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\begin_layout Itemize
Factor analysis: PCA, MDS, MOFA
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\begin_deeper
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Batch-corrected PCA is informative, but careful application is required
to avoid bias
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\end_deeper
\begin_layout Itemize
Gene set analysis: camera and SPIA
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\begin_layout Section
Innovation
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\begin_layout Itemize
MSC infusion to improve transplant outcomes (prevent/delay rejection)
\end_layout
\begin_deeper
\begin_layout Itemize
Characterize MSC response to interferon gamma
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\begin_layout Itemize
IFN-g is thought to stimulate their function
\end_layout
\begin_layout Itemize
Test IFN-g treated MSC infusion as a therapy to delay graft rejection in
cynomolgus monkeys
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\begin_layout Itemize
Monitor animals post-transplant using blood RNA-seq at serial time points
\end_layout
\end_deeper
\begin_layout Itemize
Investigate dynamics of histone marks in CD4 T-cell activation and memory
\end_layout
\begin_deeper
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Previous studies have looked at single snapshots of histone marks
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\begin_layout Itemize
Instead, look at changes in histone marks across activation and memory
\end_layout
\end_deeper
\begin_layout Itemize
High-throughput sequencing and microarray technologies
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\begin_deeper
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Powerful methods for assaying gene expression and epigenetics across entire
genomes
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\begin_layout Itemize
Proper analysis requires finding and exploiting systematic genome-wide trends
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\end_deeper
\begin_layout Chapter
Reproducible genome-wide epigenetic analysis of H3K4 and H3K27 methylation
in naive and memory CD4 T-cell activation
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Chapter author list: Me, Sarah, Dan
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Need better section titles throughout the entire chapter
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\begin_layout Section
Approach
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Check on the exact correct way to write
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CD4 T-cell
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.
I think there might be a plus sign somwehere in there now? Also, maybe
figure out a reasonable way to abbreviate
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naive CD4 T-cells
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and
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memory CD4 T-cells
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.
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Is it ok to just copy a bunch of citations from the intros to Sarah's papers?
That feels like cheating somehow.
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How much of this goes in Chapter 1?
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CD4 T-cells are central to all adaptive immune responses, as well as immune
memory [CITE?].
After an infection is cleared, a subset of the naive CD4 T-cells that responded
to that infection differentiate into memory CD4 T-cells, which are responsible
for responding to the same pathogen in the future.
Memory CD4 T-cells are functionally distinct, able to respond to an infection
more quickly and without the co-stimulation requried by naive CD4 T-cells.
However, the molecular mechanisms underlying this functional distinction
are not well-understood.
Epigenetic regulation is thought to be
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H3K4me2, H3K4me3 and H3K27me3 are three histone marks thought to be major
epigenetic regulators of gene expression.
The goal of the present study is to investigate the role of these histone
marks in CD4 T-cell activation kinetics and memory differentiation.
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Probably goes in CH1:
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Generally, H3K4me2 and H3K4me3 are often observed in the promoters of highly
transcribed genes, while H3K27me3 is more often observed in promoters of
inactive genes with little to no transcription occurring.
The causal relationship between these histone modifications and gene transcript
ion is complex, and likely involves positive and negative feedback loops
between the two.
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Looking at these marks during CD4 activation and memory should reveal new
mechanistic details
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Test
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poised promoter
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hypothesis in which H3K4 and H3K27 are both methylated
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Expand scope of analysis beyond simple promoter counts
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Analyze peaks genome-wide, including in intergenic regions
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Analysis of coverage distribution shape within promoters, e.g.
upstream vs downstream coverage
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Methods
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Look up some more details from the papers (e.g.
activation method).
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A reproducible workflow was written to analyze the raw ChIP-seq and RNA-seq
data from previous studies
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LatexCommand cite
key "gh-cd4-csaw,LaMere2016,LaMere2017"
literal "true"
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.
Briefly, this data consists of RNA-seq and ChIP-seq from CD4 T-cells cultured
from 4 donors.
From each donor, naive and memory CD4 T-cells were isolated separately.
Then cultures of both cells were activated [how?], and samples were taken
at 4 time points: Day 0 (pre-activation), Day 1 (early activation), Day
5 (peak activation), and Day 14 (post-activation).
For each combination of cell type and time point, RNA was isolated and
sequenced, and ChIP-seq was performed for each of 3 histone marks: H3K4me2,
H3K4me3, and H3K27me3.
The ChIP-seq input DNA was also sequenced for each sample.
The result was 32 samples for each assay.
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RNA-seq analysis
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STAR quantification, Entrez vs Ensembl gene annotation
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Salmon+Shoal quantification, Entrez vs Ensembl gene annotation
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STAR vs HISAT2 quantification, Ensembl gene annotation
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Salomn vs STAR quantification, Ensembl gene annotation
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Salmon vs Kallisto quantification, Ensembl gene annotation
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Salmon+Shoal vs Salmon alone, Ensembl gene annotation
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RNA-seq comparisons
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Sequence reads were retrieved from the Sequence Read Archive (SRA)
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.
Five different alignment and quantification methods were tested for the
RNA-seq data
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literal "false"
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.
Each quantification was tested with both Ensembl transcripts and UCSC known
gene annotations [CITE? Also which versions of each?].
Comparisons of downstream results from each combination of quantification
method and reference revealed that all quantifications gave broadly similar
results for most genes, so shoal with the Ensembl annotation was chosen
as the method theoretically most likely to partially mitigate some of the
batch effect in the data.
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Before batch correction
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After batch correction with ComBat
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PCoA plots of RNA-seq data showing effect of batch correction.
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Due to an error in sample preparation, the RNA from the samples for days
0 and 5 were sequenced using a different kit than those for days 1 and
14.
This induced a substantial batch effect in the data due to differences
in sequencing biases between the two kits, and this batch effect is unfortunate
ly confounded with the time point variable (Figure
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).
To do the best possible analysis with this data, this batch effect was
subtracted out from the data using ComBat
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literal "false"
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, ignoring the time point variable due to the confounding with the batch
variable.
The result is a marked improvement, but the unavoidable counfounding with
time point means that certain real patterns of gene expression will be
indistinguishable from the batch effect and subtracted out as a result.
Specifically, any
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pattern, such as a gene whose expression goes up on day 1, down on day
5, and back up again on day 14, will be attenuated or eliminated entirely.
In the context of a T-cell activation time course, it is unlikely that
many genes of interest will follow such an expression patter, so this loss
was deemed an acceptable cost for correcting the batch effect.
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Just take the top row
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RNA-seq sample weights, grouped by experimental and technical covariates.
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However, removing the systematic component of the batch effect still leaves
the noise component.
The gene quantifications from the first batch are substantially noisier
than those in the second batch.
This analysis corrected for this by using limma's sample weighting method
to assign lower weights to the noisy samples of batch 1
\begin_inset CommandInset citation
LatexCommand cite
key "Ritchie2006,Liu2015"
literal "false"
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.
The resulting analysis gives an accurate assessment of statistical significance
for all comparisons, which unfortuantely means a loss of statistical power
for comparisons involving samples in batch 1.
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In any case, the RNA-seq counts were first normalized using trimmed mean
of M-values
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LatexCommand cite
key "Robinson2010"
literal "false"
\end_inset
, converted to normalized logCPM with quality weights using voomWithQualityWeigh
ts
\begin_inset CommandInset citation
LatexCommand cite
key "Law2013,Liu2015"
literal "false"
\end_inset
, and batch-corrected at this point using ComBat.
A linear model was fit to the batch-corrected, quality-weighted data for
each gene using limma, and each gene was tested for differential expression
using limma's empirical Bayes moderated
\begin_inset Formula $t$
\end_inset
-test
\begin_inset CommandInset citation
LatexCommand cite
key "Smyth2005,Law2013,Phipson2013"
literal "false"
\end_inset
.
\end_layout
\begin_layout Subsection
ChIP-seq analysis
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/csaw/CCF-plots-noBL-PAGE2-CROP.pdf
lyxscale 50
height 40theight%
groupId ccf-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:CCF-without-blacklist"
\end_inset
Cross-correlation plots without removing blacklisted reads.
\series default
Without blacklisting, many artifactual peaks are visible in the cross-correlatio
ns of the ChIP-seq samples, and the peak at the true fragment size (147
\begin_inset space ~
\end_inset
bp) is frequently overshadowed by the artifactual peak at the read length
(100
\begin_inset space ~
\end_inset
bp).
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\align center
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/csaw/CCF-plots-PAGE2-CROP.pdf
lyxscale 50
height 40theight%
groupId ccf-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:CCF-with-blacklist"
\end_inset
Cross-correlation plots with blacklisted reads removed.
\series default
After blacklisting, most ChIP-seq samples have clean-looking periodic cross-cor
relation plots, with the largest peak around 147
\begin_inset space ~
\end_inset
bp, the expected size for a fragment of DNA from a single nucleosome, and
little to no peak at the read length, 100
\begin_inset space ~
\end_inset
bp.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:CCF-master"
\end_inset
Strand cross-correlation plots for ChIP-seq data, before and after blacklisting.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Note Note
status open
\begin_layout Plain Layout
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K4me2-sample-MAplot-bins-CROP.png
lyxscale 25
width 100col%
groupId colwidth-raster
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:MA-plot-bigbins"
\end_inset
MA plot of H3K4me2 read counts in 10kb bins for two arbitrary samples.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K4me2-PCA-raw-CROP.png
lyxscale 25
width 45col%
groupId pcoa-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:PCoA-H3K4me2-bad"
\end_inset
H3K4me2, no correction
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K4me2-PCA-SVsub-CROP.png
lyxscale 25
width 45col%
groupId pcoa-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:PCoA-H3K4me2-good"
\end_inset
H3K4me2, SVs subtracted
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K4me3-PCA-raw-CROP.png
lyxscale 25
width 45col%
groupId pcoa-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:PCoA-H3K4me3-bad"
\end_inset
H3K4me3, no correction
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K4me3-PCA-SVsub-CROP.png
lyxscale 25
width 45col%
groupId pcoa-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:PCoA-H3K4me3-good"
\end_inset
H3K4me3, SVs subtracted
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K27me3-PCA-raw-CROP.png
lyxscale 25
width 45col%
groupId pcoa-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:PCoA-H3K27me3-bad"
\end_inset
H3K27me3, no correction
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K27me3-PCA-SVsub-CROP.png
lyxscale 25
width 45col%
groupId pcoa-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:PCoA-H3K27me3-good"
\end_inset
H3K27me3, SVs subtracted
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:PCoA-ChIP"
\end_inset
PCoA plots of ChIP-seq sliding window data, before and after subtracting
surrogate variables (SVs).
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Be consistent about use of
\begin_inset Quotes eld
\end_inset
differential binding
\begin_inset Quotes erd
\end_inset
vs
\begin_inset Quotes eld
\end_inset
differential modification
\begin_inset Quotes erd
\end_inset
.
The latter is generally preferred.
\end_layout
\end_inset
\end_layout
\begin_layout Standard
Sequence reads were retrieved from SRA
\begin_inset CommandInset citation
LatexCommand cite
key "Leinonen2011"
literal "false"
\end_inset
.
ChIP-seq (and input) reads were aligned to GRCh38 genome assembly using
Bowtie 2
\begin_inset CommandInset citation
LatexCommand cite
key "Langmead2012,Schneider2017,gh-hg38-ref"
literal "false"
\end_inset
.
Artifact regions were annotated using a custom implementation of the GreyListCh
IP algorithm, and these
\begin_inset Quotes eld
\end_inset
greylists
\begin_inset Quotes erd
\end_inset
were merged with the published ENCODE blacklists
\begin_inset CommandInset citation
LatexCommand cite
key "greylistchip,Amemiya2019,Dunham2012,gh-cd4-csaw"
literal "false"
\end_inset
.
Any read or called peak overlapping one of these regions was regarded as
artifactual and excluded from downstream analyses.
Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:CCF-master"
plural "false"
caps "false"
noprefix "false"
\end_inset
shows the improvement after blacklisting in the strand cross-correlation
plots, a common quality control plot for ChIP-seq data.
Peaks were called using epic, an implementation of the SICER algorithm
\begin_inset CommandInset citation
LatexCommand cite
key "Zang2009,gh-epic"
literal "false"
\end_inset
.
Peaks were also called separately using MACS, but MACS was determined to
be a poor fit for the data, and these peak calls are not used in any further
analyses
\begin_inset CommandInset citation
LatexCommand cite
key "Zhang2008"
literal "false"
\end_inset
.
Consensus peaks were determined by applying the irreproducible discovery
rate (IDR) framework
\begin_inset CommandInset citation
LatexCommand cite
key "Li2006,gh-idr"
literal "false"
\end_inset
to find peaks consistently called in the same locations across all 4 donors.
Reads in promoters, peaks, and sliding windows across the genome were counted
and normalized using csaw and analyzed for differential modification using
edgeR
\begin_inset CommandInset citation
LatexCommand cite
key "Lun2014,Lun2015a,Lund2012,Phipson2016"
literal "false"
\end_inset
.
Unobserved confounding factors in the ChIP-seq data were corrected using
SVA
\begin_inset CommandInset citation
LatexCommand cite
key "Leek2007,Leek2014"
literal "false"
\end_inset
.
Principal coordinate plots of the promoter count data for each histone
mark before and after subtracting surrogate variable effects are shown
in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:PCoA-ChIP"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
\end_layout
\begin_layout Subsection
MOFA recovers biologically relevant variation from blind analysis by correlating
across datasets
\end_layout
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
afterpage{
\end_layout
\begin_layout Plain Layout
\backslash
begin{landscape}
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/MOFA-varExplaiend-matrix-CROP.png
lyxscale 25
width 45col%
groupId mofa-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:mofa-varexplained"
\end_inset
Variance explained in each data set by each latent factor estimated by MOFA.
\series default
For each latent factor (LF) learned by MOFA, the variance explained by
that factor in each data set (
\begin_inset Quotes eld
\end_inset
view
\begin_inset Quotes erd
\end_inset
) is shown by the shading of the cells in the lower section.
The upper section shows the total fraction of each data set's variance
that is explained by all LFs combined.
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/MOFA-LF-scatter-CROP.png
lyxscale 25
width 45col%
groupId mofa-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:mofa-lf-scatter"
\end_inset
Scatter plots of specific pairs of MOFA latent factors.
\series default
LFs 1, 4, and 5 explain substantial variation in all data sets, so they
are plotted against each other in order to reveal patterns of variation
that are shared across all data sets.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:MOFA-master"
\end_inset
MOFA latent factors separate technical confounders from
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
end{landscape}
\end_layout
\begin_layout Plain Layout
}
\end_layout
\end_inset
\end_layout
\begin_layout Standard
MOFA was run on all the ChIP-seq windows overlapping consensus peaks for
each histone mark, as well as the RNA-seq data, in order to identify patterns
of coordinated variation across all data sets
\begin_inset CommandInset citation
LatexCommand cite
key "Argelaguet2018"
literal "false"
\end_inset
.
The results are summarized in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:MOFA-master"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
Latent factors 1, 4, and 5 were determined to explain the most variation
consistently across all data sets (Fgure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:mofa-varexplained"
plural "false"
caps "false"
noprefix "false"
\end_inset
), and scatter plots of these factors show that they also correlate best
with the experimental factors (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:mofa-lf-scatter"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
Latent factor 2 captures the batch effect in the RNA-seq data.
Removing the effect of LF2 using MOFA theoretically yields a batch correction
that does not depend on knowing the experimental factors.
When this was attempted, the resulting batch correction was comparable
to ComBat (see Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:RNA-PCA-ComBat-batchsub"
plural "false"
caps "false"
noprefix "false"
\end_inset
), indicating that the ComBat-based batch correction has little room for
improvement given the problems with the data set.
\end_layout
\begin_layout Standard
\begin_inset Note Note
status collapsed
\begin_layout Plain Layout
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/MOFA-batch-correct-CROP.png
lyxscale 25
width 100col%
groupId colwidth-raster
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:mofa-batchsub"
\end_inset
Result of RNA-seq batch-correction using MOFA latent factors
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Section
Results
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Focus on what hypotheses were tested, then select figures that show how
those hypotheses were tested, even if the result is a negative.
Not every interesting result needs to be in here.
Chapter should tell a story.
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Maybe reorder these sections to do RNA-seq, then ChIP-seq, then combined
analyses?
\end_layout
\end_inset
\end_layout
\begin_layout Subsection
Interpretation of RNA-seq analysis is limited by a major confounding factor
\end_layout
\begin_layout Standard
\begin_inset Float table
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
\begin_inset Text
\begin_layout Plain Layout
Test
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Est.
non-null
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Formula $\mathrm{FDR}\le10\%$
\end_inset
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Naive Day 0 vs Day 1
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
5992
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
1613
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Naive Day 0 vs Day 5
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
3038
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
32
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Naive Day 0 vs Day 14
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
1870
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
190
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Memory Day 0 vs Day 1
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
3195
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
411
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Memory Day 0 vs Day 5
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
2688
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
18
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Memory Day 0 vs Day 14
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
1911
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
227
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Day 0 Naive vs Memory
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
0
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
2
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Day 1 Naive vs Memory
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
9167
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
5532
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Day 5 Naive vs Memory
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
0
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
0
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Day 14 Naive vs Memory
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
6446
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
2319
\end_layout
\end_inset
|
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "tab:Estimated-and-detected-rnaseq"
\end_inset
Estimated and detected differentially expressed genes.
\series default
\begin_inset Quotes eld
\end_inset
Test
\begin_inset Quotes erd
\end_inset
: Which sample groups were compared;
\begin_inset Quotes eld
\end_inset
Est non-null
\begin_inset Quotes erd
\end_inset
: Estimated number of differentially expressed genes, using the method of
averaging local FDR values
\begin_inset CommandInset citation
LatexCommand cite
key "Phipson2013Thesis"
literal "false"
\end_inset
;
\begin_inset Quotes eld
\end_inset
\begin_inset Formula $\mathrm{FDR}\le10\%$
\end_inset
\begin_inset Quotes erd
\end_inset
: Number of significantly differentially expressed genes at an FDR threshold
of 10%.
The total number of genes tested was 16707.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/RNA-seq/PCA-final-12-CROP.png
lyxscale 25
width 100col%
groupId colwidth-raster
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:rna-pca-final"
\end_inset
PCoA plot of RNA-seq samples after ComBat batch correction.
\series default
Each point represents an individual sample.
Samples with the same combination of cell type and time point are encircled
with a shaded region to aid in visual identification of the sample groups.
Samples with of same cell type from the same donor are connected by lines
to indicate the
\begin_inset Quotes eld
\end_inset
trajectory
\begin_inset Quotes erd
\end_inset
of each donor's cells over time in PCoA space.
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\end_layout
\end_inset
\end_layout
\begin_layout Standard
Genes called present in the RNA-seq data were tested for differential expression
between all time points and cell types.
The counts of differentially expressed genes are shown in Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:Estimated-and-detected-rnaseq"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
Notably, all the results for Day 0 and Day 5 have substantially fewer genes
called differentially expressed than any of the results for other time
points.
This is an unfortunate result of the difference in sample quality between
the two batches of RNA-seq data.
All the samples in Batch 1, which includes all the samples from Days 0
and 5, have substantially more variability than the samples in Batch 2,
which includes the other time points.
This is reflected in the substantially higher weights assigned to Batch
2 (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:RNA-seq-weights-vs-covars"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
The batch effect has both a systematic component and a random noise component.
While the systematic component was subtracted out using ComBat (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:RNA-PCA"
plural "false"
caps "false"
noprefix "false"
\end_inset
), no such correction is possible for the noise component: Batch 1 simply
has substantially more random noise in it, which reduces the statistical
power for any differential expression tests involving samples in that batch.
\end_layout
\begin_layout Standard
Despite the difficulty in detecting specific differentially expressed genes,
there is still evidence that differential expression is present for these
time points.
In Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:rna-pca-final"
plural "false"
caps "false"
noprefix "false"
\end_inset
, there is a clear separation between naive and memory samples at Day 0,
despite the fact that only 2 genes were significantly differentially expressed
for this comparison.
Similarly, the small numbers of genes detected for the Day 0 vs Day 5 compariso
ns do not reflect the large separation between these time points in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:rna-pca-final"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
In addition, the MOFA latent factor plots in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:mofa-lf-scatter"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
This suggests that there is indeed a differential expression signal present
in the data for these comparisons, but the large variability in the Batch
1 samples obfuscates this signal at the individual gene level.
As a result, it is impossible to make any meaningful statements about the
\begin_inset Quotes eld
\end_inset
size
\begin_inset Quotes erd
\end_inset
of the gene signature for any time point, since the number of significant
genes as well as the estimated number of differentially expressed genes
depends so strongly on the variations in sample quality in addition to
the size of the differential expression signal in the data.
Gene-set enrichment analyses are similarly impractical.
However, analyses looking at genome-wide patterns of expression are still
practical.
\end_layout
\begin_layout Subsection
H3K4 and H3K27 methylation occur in broad regions and are enriched near
promoters
\end_layout
\begin_layout Standard
\begin_inset Float table
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Also get
\emph on
median
\emph default
peak width and maybe other quantiles (25%, 75%)
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\align center
\begin_inset Tabular
\begin_inset Text
\begin_layout Plain Layout
Histone Mark
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
# Peaks
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Mean peak width
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
genome coverage
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
FRiP
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
H3K4me2
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
14965
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
3970
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
1.92%
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
14.2%
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
H3K4me3
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
6163
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
2946
\end_layout
\end_inset
|
\begin_inset Text
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0.588%
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
6.57%
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
H3K27me3
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
18139
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
18967
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
11.1%
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
22.5%
\end_layout
\end_inset
|
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "tab:peak-calling-summary"
\end_inset
Peak-calling summary.
\series default
For each histone mark, the number of peaks called using SICER at an IDR
threshold of ???, the mean width of those peaks, the fraction of the genome
covered by peaks, and the fraction of reads in peaks (FRiP).
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:peak-calling-summary"
plural "false"
caps "false"
noprefix "false"
\end_inset
gives a summary of the peak calling statistics for each histone mark.
Consistent with previous observations [CITATION NEEDED], all 3 histone
marks occur in broad regions spanning many consecutive nucleosomes, rather
than in sharp peaks as would be expected for a transcription factor or
other molecule that binds to specific sites.
This conclusion is further supported by Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:CCF-with-blacklist"
plural "false"
caps "false"
noprefix "false"
\end_inset
, in which a clear nucleosome-sized periodicity is visible in the cross-correlat
ion value for each sample, indicating that each time a given mark is present
on one histone, it is also likely to be found on adjacent histones as well.
H3K27me3 enrichment in particular is substantially more broad than either
H3K4 mark, with a mean peak width of almost 19,000 bp.
This is also reflected in the periodicity observed in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:CCF-with-blacklist"
plural "false"
caps "false"
noprefix "false"
\end_inset
, which remains strong much farther out for H3K27me3 than the other marks,
showing H3K27me3 especially tends to be found on long runs of consecutive
histones.
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Ensure this figure uses the peak calls from the new analysis.
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Need a control: shuffle all peaks and repeat, N times.
Do real vs shuffled control both in a top/bottom arrangement.
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Consider counting TSS inside peaks as negative number indicating how far
\emph on
inside
\emph default
the peak the TSS is (i.e.
distance to nearest non-peak area).
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
The H3K4 part of this figure is included in
\begin_inset CommandInset citation
LatexCommand cite
key "LaMere2016"
literal "false"
\end_inset
as Fig.
S2.
Do I need to do anything about that?
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/Promoter Peak Distance Profile-PAGE1-CROP.pdf
lyxscale 50
width 80col%
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:near-promoter-peak-enrich"
\end_inset
Enrichment of peaks in promoter neighborhoods.
\series default
This plot shows the distribution of distances from each annotated transcription
start site in the genome to the nearest called peak.
Each line represents one combination of histone mark, cell type, and time
point.
Distributions are smoothed using kernel density estimation [CITE? see ggplot2
stat_density()].
Transcription start sites that occur
\emph on
within
\emph default
peaks were excluded from this plot to avoid a large spike at zero that
would overshadow the rest of the distribution.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Float table
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
\begin_inset Text
\begin_layout Plain Layout
Histone mark
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Effective promoter radius
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
H3K4me2
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
1 kb
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
H3K4me3
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
1 kb
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
H3K27me3
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
2.5 kb
\end_layout
\end_inset
|
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "tab:effective-promoter-radius"
\end_inset
Effective promoter radius for each histone mark.
\series default
These values represent the approximate distance from transcription start
site positions within which an excess of peaks are found, as shown in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:near-promoter-peak-enrich"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\end_layout
\end_inset
\end_layout
\begin_layout Standard
All 3 histone marks tend to occur more often near promoter regions, as shown
in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:near-promoter-peak-enrich"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
The majority of each density distribution is flat, representing the background
density of peaks genome-wide.
Each distribution has a peak near zero, representing an enrichment of peaks
close transcription start site (TSS) positions relative to the remainder
of the genome.
Interestingly, the
\begin_inset Quotes eld
\end_inset
radius
\begin_inset Quotes erd
\end_inset
within which this enrichment occurs is not the same for every histone mark
(Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:effective-promoter-radius"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
For H3K4me2 and H3K4me3, peaks are most enriched within 1
\begin_inset space ~
\end_inset
kbp of TSS positions, while for H3K27me3, enrichment is broader, extending
to 2.5
\begin_inset space ~
\end_inset
kbp.
These
\begin_inset Quotes eld
\end_inset
effective promoter radii
\begin_inset Quotes erd
\end_inset
remain approximately the same across all combinations of experimental condition
(cell type, time point, and donor), so they appear to be a property of
the histone mark itself.
Hence, these radii were used to define the promoter regions for each histone
mark in all further analyses.
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Consider also showing figure for distance to nearest peak center, and reference
median peak size once that is known.
\end_layout
\end_inset
\end_layout
\begin_layout Subsection
H3K4 and H3K27 promoter methylation has broadly the expected correlation
with gene expression
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
This figure is generated from the old analysis.
Eiher note that in some way or re-generate it from the new peak calls.
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/FPKM by Peak Violin Plots-CROP.pdf
lyxscale 50
width 100col%
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:fpkm-by-peak"
\end_inset
Expression distributions of genes with and without promoter peaks.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
H3K4me2 and H3K4me2 have previously been reported as activating marks whose
presence in a gene's promoter is associated with higher gene expression,
while H3K27me3 has been reported as inactivating [CITE].
The data are consistent with this characterization: genes whose promoters
(as defined by the radii for each histone mark listed in
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:effective-promoter-radius"
plural "false"
caps "false"
noprefix "false"
\end_inset
) overlap with a H3K4me2 or H3K4me3 peak tend to have higher expression
than those that don't, while H3K27me3 is likewise associated with lower
gene expression, as shown in
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:fpkm-by-peak"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
This pattern holds across all combinations of cell type and time point
(Welch's
\emph on
t
\emph default
-test, all
\begin_inset Formula $p\mathrm{-values}\ll2.2\times10^{-16}$
\end_inset
).
The difference in average FPKM values when a peak overlaps the promoter
is about
\begin_inset Formula $+5.67$
\end_inset
for H3K4me2,
\begin_inset Formula $+5.76$
\end_inset
for H3K4me2, and
\begin_inset Formula $-4.00$
\end_inset
for H3K27me3.
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
I also have some figures looking at interactions between marks (e.g.
what if a promoter has both H3K4me3 and H3K27me3), but I don't know if
that much detail is warranted here, since all the effects just seem approximate
ly additive anyway.
\end_layout
\end_inset
\end_layout
\begin_layout Subsection
Gene expression and promoter histone methylation patterns in naive and memory
show convergence at day 14
\end_layout
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
afterpage{
\end_layout
\begin_layout Plain Layout
\backslash
begin{landscape}
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Float table
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Tabular
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Number of significant promoters
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Est.
differentially modified promoters
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Time Point
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
H3K4me2
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
H3K4me3
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
H3K27me3
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
H3K4me2
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
H3K4me3
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
H3K27me3
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Day 0
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
4553
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
927
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
6
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
9967
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
4149
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
2404
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Day 1
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
567
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
278
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
1570
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
4370
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
2145
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
6598
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Day 5
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
2313
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
139
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
490
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
9450
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
1148
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
4141
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Day 14
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
0
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
0
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
0
\end_layout
\end_inset
|
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\begin_layout Plain Layout
0
\end_layout
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|
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\begin_layout Plain Layout
0
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
0
\end_layout
\end_inset
|
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "tab:Number-signif-promoters"
\end_inset
Number of differentially modified promoters between naive and memory cells
at each time point after activation.
\series default
This table shows both the number of differentially modified promoters detected
at a 10% FDR threshold (left half), and the total number of differentially
modified promoters as estimated using the method of
\begin_inset CommandInset citation
LatexCommand cite
key "Phipson2013"
literal "false"
\end_inset
(right half).
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
end{landscape}
\end_layout
\begin_layout Plain Layout
}
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Float figure
placement p
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K4me2-promoter-PCA-group-CROP.png
lyxscale 25
width 45col%
groupId pcoa-prom-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:PCoA-H3K4me2-prom"
\end_inset
PCoA plot of H3K4me2 promoters, after subtracting surrogate variables
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K4me3-promoter-PCA-group-CROP.png
lyxscale 25
width 45col%
groupId pcoa-prom-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:PCoA-H3K4me3-prom"
\end_inset
PCoA plot of H3K4me3 promoters, after subtracting surrogate variables
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\align center
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K27me3-promoter-PCA-group-CROP.png
lyxscale 25
width 45col%
groupId pcoa-prom-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:PCoA-H3K27me3-prom"
\end_inset
PCoA plot of H3K27me3 promoters, after subtracting surrogate variables
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/RNA-seq/PCA-final-23-CROP.png
lyxscale 25
width 45col%
groupId pcoa-prom-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:RNA-PCA-group"
\end_inset
RNA-seq PCoA showing principal coordiantes 2 and 3.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:PCoA-promoters"
\end_inset
PCoA plots for promoter ChIP-seq and expression RNA-seq data
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Check up on figure refs in this paragraph
\end_layout
\end_inset
\end_layout
\begin_layout Standard
We hypothesized that if naive cells had differentiated into memory cells
by Day 14, then their patterns of expression and histone modification should
converge with those of memory cells at Day 14.
Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:PCoA-promoters"
plural "false"
caps "false"
noprefix "false"
\end_inset
shows the patterns of variation in all 3 histone marks in the promoter
regions of the genome using principal coordinate analysis.
All 3 marks show a noticeable convergence between the naive and memory
samples at day 14, visible as an overlapping of the day 14 groups on each
plot.
This is consistent with the counts of significantly differentially modified
promoters and estimates of the total numbers of differentially modified
promoters shown in Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:Number-signif-promoters"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
For all histone marks, evidence of differential modification between naive
and memory samples was detected at every time point except day 14.
The day 14 convergence pattern is also present in the RNA-seq data (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:RNA-PCA-group"
plural "false"
caps "false"
noprefix "false"
\end_inset
), albiet in the 2nd and 3rd principal coordinates, indicating that it is
not the most dominant pattern driving gene expression.
Taken together, the data show that promoter histone methylation for these
3 histone marks and RNA expression for naive and memory cells are most
similar at day 14, the furthest time point after activation.
MOFA was also able to capture this day 14 convergence pattern in latent
factor 5 (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:mofa-lf-scatter"
plural "false"
caps "false"
noprefix "false"
\end_inset
), which accounts for shared variation across all 3 histone marks and the
RNA-seq data, confirming that this convergence is a coordinated pattern
across all 4 data sets.
While this observation does not prove that the naive cells have differentiated
into memory cells at Day 14, it is consistent with that hypothesis.
\end_layout
\begin_layout Subsection
Effect of H3K4me2 and H3K4me3 promoter coverage upstream vs downstream of
TSS
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Need a better section title, for this and the next one.
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Make sure use of coverage/abundance/whatever is consistent.
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
For the figures in this section and the next, the group labels are arbitrary,
so if time allows, it would be good to manually reorder them in a logical
way, e.g.
most upstream to most downstream.
If this is done, make sure to update the text with the correct group labels.
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
afterpage{
\end_layout
\begin_layout Plain Layout
\backslash
begin{landscape}
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K4me2-neighborhood-clusters-CROP.png
lyxscale 25
width 30col%
groupId covprof-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:H3K4me2-neighborhood-clusters"
\end_inset
Average relative coverage for each bin in each cluster
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K4me2-neighborhood-PCA-CROP.png
lyxscale 25
width 30col%
groupId covprof-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:H3K4me2-neighborhood-pca"
\end_inset
PCA of relative coverage depth, colored by K-means cluster membership.
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K4me2-neighborhood-expression-CROP.png
lyxscale 25
width 30col%
groupId covprof-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:H3K4me2-neighborhood-expression"
\end_inset
Gene expression grouped by promoter coverage clusters.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:H3K4me2-neighborhood"
\end_inset
K-means clustering of promoter H3K4me2 relative coverage depth in naive
day 0 samples.
\series default
H3K4me2 ChIP-seq reads were binned into 500-bp windows tiled across each
promoter from 5
\begin_inset space ~
\end_inset
kbp upstream to 5
\begin_inset space ~
\end_inset
kbp downstream, and the logCPM values were normalized within each promoter
to an average of 0, yielding relative coverage depths.
These were then grouped using K-means clustering with
\begin_inset Formula $K=6$
\end_inset
,
\series bold
\series default
and the average bin values were plotted for each cluster (a).
The
\begin_inset Formula $x$
\end_inset
-axis is the genomic coordinate of each bin relative to the the transcription
start site, and the
\begin_inset Formula $y$
\end_inset
-axis is the mean relative coverage depth of that bin across all promoters
in the cluster.
Each line represents the average
\begin_inset Quotes eld
\end_inset
shape
\begin_inset Quotes erd
\end_inset
of the promoter coverage for promoters in that cluster.
PCA was performed on the same data, and the first two principal components
were plotted, coloring each point by its K-means cluster identity (b).
For each cluster, the distribution of gene expression values was plotted
(c).
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
end{landscape}
\end_layout
\begin_layout Plain Layout
}
\end_layout
\end_inset
\end_layout
\begin_layout Standard
To test whether the position of a histone mark relative to a gene's transcriptio
n start site (TSS) was important, we looked at the
\begin_inset Quotes eld
\end_inset
landscape
\begin_inset Quotes erd
\end_inset
of ChIP-seq read coverage in naive Day 0 samples within 5 kb of each gene's
TSS by binning reads into 500-bp windows tiled across each promoter LogCPM
values were calculated for the bins in each promoter and then the average
logCPM for each promoter's bins was normalized to zero, such that the values
represent coverage relative to other regions of the same promoter rather
than being proportional to absolute read count.
The promoters were then clustered based on the normalized bin abundances
using
\begin_inset Formula $k$
\end_inset
-means clustering with
\begin_inset Formula $K=6$
\end_inset
.
Different values of
\begin_inset Formula $K$
\end_inset
were also tested, but did not substantially change the interpretation of
the data.
\end_layout
\begin_layout Standard
For H3K4me2, plotting the average bin abundances for each cluster reveals
a simple pattern (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K4me2-neighborhood-clusters"
plural "false"
caps "false"
noprefix "false"
\end_inset
): Cluster 5 represents a completely flat promoter coverage profile, likely
consisting of genes with no H3K4me2 methylation in the promoter.
All the other clusters represent a continuum of peak positions relative
to the TSS.
In order from must upstream to most downstream, they are Clusters 6, 4,
3, 1, and 2.
There do not appear to be any clusters representing coverage patterns other
than lone peaks, such as coverage troughs or double peaks.
Next, all promoters were plotted in a PCA plot based on the same relative
bin abundance data, and colored based on cluster membership (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K4me2-neighborhood-pca"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
The PCA plot shows Cluster 5 (the
\begin_inset Quotes eld
\end_inset
no peak
\begin_inset Quotes erd
\end_inset
cluster) at the center, with the other clusters arranged in a counter-clockwise
arc around it in the order noted above, from most upstream peak to most
downstream.
Notably, the
\begin_inset Quotes eld
\end_inset
clusters
\begin_inset Quotes erd
\end_inset
form a single large
\begin_inset Quotes eld
\end_inset
cloud
\begin_inset Quotes erd
\end_inset
with no apparent separation between them, further supporting the conclusion
that these clusters represent an arbitrary partitioning of a continuous
distribution of promoter coverage landscapes.
While the clusters are a useful abstraction that aids in visualization,
they are ultimately not an accurate representation of the data.
A better representation might be something like a polar coordinate system
with the origin at the center of Cluster 5, where the radius represents
the peak height above the background and the angle represents the peak's
position upstream or downstream of the TSS.
The continuous nature of the distribution also explains why different values
of
\begin_inset Formula $K$
\end_inset
led to similar conclusions.
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
RNA-seq values in the plots use logCPM but should really use logFPKM or
logTPM.
Fix if time allows.
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Should have a table of p-values on difference of means between Cluster 5
and the others.
\end_layout
\end_inset
\end_layout
\begin_layout Standard
To investigate the association between relative peak position and gene expressio
n, we plotted the Naive Day 0 expression for the genes in each cluster (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K4me2-neighborhood-expression"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
Most genes in Cluster 5, the
\begin_inset Quotes eld
\end_inset
no peak
\begin_inset Quotes erd
\end_inset
cluster, have low expression values.
Taking this as the
\begin_inset Quotes eld
\end_inset
baseline
\begin_inset Quotes erd
\end_inset
distribution when no H3K4me2 methylation is present, we can compare the
other clusters' distributions to determine which peak positions are associated
with elevated expression.
As might be expected, the 3 clusters representing peaks closest to the
TSS, Clusters 1, 3, and 4, show the highest average expression distributions.
Specifically, these clusters all have their highest ChIP-seq abundance
within 1kb of the TSS, consistent with the previously determined promoter
radius.
In contrast, cluster 6, which represents peaks several kb upstream of the
TSS, shows a slightly higher average expression than baseline, while Cluster
2, which represents peaks several kb downstream, doesn't appear to show
any appreciable difference.
Interestingly, the cluster with the highest average expression is Cluster
1, which represents peaks about 1 kb downstream of the TSS, rather than
Cluster 3, which represents peaks centered directly at the TSS.
This suggests that conceptualizing the promoter as a region centered on
the TSS with a certain
\begin_inset Quotes eld
\end_inset
radius
\begin_inset Quotes erd
\end_inset
may be an oversimplification – a peak that is a specific distance from
the TSS may have a different degree of influence depending on whether it
is upstream or downstream of the TSS.
\end_layout
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
afterpage{
\end_layout
\begin_layout Plain Layout
\backslash
begin{landscape}
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K4me3-neighborhood-clusters-CROP.png
lyxscale 25
width 30col%
groupId covprof-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:H3K4me3-neighborhood-clusters"
\end_inset
Average relative coverage for each bin in each cluster
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K4me3-neighborhood-PCA-CROP.png
lyxscale 25
width 30col%
groupId covprof-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:H3K4me3-neighborhood-pca"
\end_inset
PCA of relative coverage depth, colored by K-means cluster membership.
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K4me3-neighborhood-expression-CROP.png
lyxscale 25
width 30col%
groupId covprof-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:H3K4me3-neighborhood-expression"
\end_inset
Gene expression grouped by promoter coverage clusters.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:H3K4me3-neighborhood"
\end_inset
K-means clustering of promoter H3K4me3 relative coverage depth in naive
day 0 samples.
\series default
H3K4me2 ChIP-seq reads were binned into 500-bp windows tiled across each
promoter from 5
\begin_inset space ~
\end_inset
kbp upstream to 5
\begin_inset space ~
\end_inset
kbp downstream, and the logCPM values were normalized within each promoter
to an average of 0, yielding relative coverage depths.
These were then grouped using K-means clustering with
\begin_inset Formula $K=6$
\end_inset
,
\series bold
\series default
and the average bin values were plotted for each cluster (a).
The
\begin_inset Formula $x$
\end_inset
-axis is the genomic coordinate of each bin relative to the the transcription
start site, and the
\begin_inset Formula $y$
\end_inset
-axis is the mean relative coverage depth of that bin across all promoters
in the cluster.
Each line represents the average
\begin_inset Quotes eld
\end_inset
shape
\begin_inset Quotes erd
\end_inset
of the promoter coverage for promoters in that cluster.
PCA was performed on the same data, and the first two principal components
were plotted, coloring each point by its K-means cluster identity (b).
For each cluster, the distribution of gene expression values was plotted
(c).
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
end{landscape}
\end_layout
\begin_layout Plain Layout
}
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Is there more to say here?
\end_layout
\end_inset
\end_layout
\begin_layout Standard
All observations described above for H3K4me2 ChIP-seq also appear to hold
for H3K4me3 as well (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K4me3-neighborhood"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
This is expected, since there is a high correlation between the positions
where both histone marks occur.
\end_layout
\begin_layout Subsection
Promoter coverage H3K27me3
\end_layout
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
afterpage{
\end_layout
\begin_layout Plain Layout
\backslash
begin{landscape}
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K27me3-neighborhood-clusters-CROP.png
lyxscale 25
width 30col%
groupId covprof-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:H3K27me3-neighborhood-clusters"
\end_inset
Average relative coverage for each bin in each cluster
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K27me3-neighborhood-PCA-CROP.png
lyxscale 25
width 30col%
groupId covprof-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:H3K27me3-neighborhood-pca"
\end_inset
PCA of relative coverage depth, colored by K-means cluster membership.
\series default
Note that Cluster 6 is hidden behind all the other clusters.
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/ChIP-seq/H3K27me3-neighborhood-expression-CROP.png
lyxscale 25
width 30col%
groupId covprof-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:H3K27me3-neighborhood-expression"
\end_inset
Gene expression grouped by promoter coverage clusters.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Repeated figure legends are kind of an issue here.
What to do?
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:H3K27me3-neighborhood"
\end_inset
K-means clustering of promoter H3K27me3 relative coverage depth in naive
day 0 samples.
\series default
H3K27me3 ChIP-seq reads were binned into 500-bp windows tiled across each
promoter from 5
\begin_inset space ~
\end_inset
kbp upstream to 5
\begin_inset space ~
\end_inset
kbp downstream, and the logCPM values were normalized within each promoter
to an average of 0, yielding relative coverage depths.
These were then grouped using
\begin_inset Formula $k$
\end_inset
-means clustering with
\begin_inset Formula $K=6$
\end_inset
,
\series bold
\series default
and the average bin values were plotted for each cluster (a).
The
\begin_inset Formula $x$
\end_inset
-axis is the genomic coordinate of each bin relative to the the transcription
start site, and the
\begin_inset Formula $y$
\end_inset
-axis is the mean relative coverage depth of that bin across all promoters
in the cluster.
Each line represents the average
\begin_inset Quotes eld
\end_inset
shape
\begin_inset Quotes erd
\end_inset
of the promoter coverage for promoters in that cluster.
PCA was performed on the same data, and the first two principal components
were plotted, coloring each point by its K-means cluster identity (b).
For each cluster, the distribution of gene expression values was plotted
(c).
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
end{landscape}
\end_layout
\begin_layout Plain Layout
}
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Should maybe re-explain what was done or refer back to the previous section.
\end_layout
\end_inset
\end_layout
\begin_layout Standard
Unlike both H3K4 marks, whose main patterns of variation appear directly
related to the size and position of a single peak within the promoter,
the patterns of H3K27me3 methylation in promoters are more complex (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K27me3-neighborhood"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
Once again looking at the relative coverage in a 500-bp wide bins in a
5kb radius around each TSS, promoters were clustered based on the normalized
relative coverage values in each bin using
\begin_inset Formula $k$
\end_inset
-means clustering with
\begin_inset Formula $K=6$
\end_inset
(Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K27me3-neighborhood-clusters"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
This time, 3
\begin_inset Quotes eld
\end_inset
axes
\begin_inset Quotes erd
\end_inset
of variation can be observed, each represented by 2 clusters with opposing
patterns.
The first axis is greater upstream coverage (Cluster 1) vs.
greater downstream coverage (Cluster 3); the second axis is the coverage
at the TSS itself: peak (Cluster 4) or trough (Cluster 2); lastly, the
third axis represents a trough upstream of the TSS (Cluster 5) vs.
downstream of the TSS (Cluster 6).
Referring to these opposing pairs of clusters as axes of variation is justified
, because they correspond precisely to the first 3 principal components
in the PCA plot of the relative coverage values (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K27me3-neighborhood-pca"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
The PCA plot reveals that as in the case of H3K4me2, all the
\begin_inset Quotes eld
\end_inset
clusters
\begin_inset Quotes erd
\end_inset
are really just sections of a single connected cloud rather than discrete
clusters.
The cloud is approximately ellipsoid-shaped, with each PC being an axis
of the ellipse, and each cluster consisting of a pyrimidal section of the
ellipsoid.
\end_layout
\begin_layout Standard
In Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K27me3-neighborhood-expression"
plural "false"
caps "false"
noprefix "false"
\end_inset
, we can see that Clusters 1 and 2 are the only clusters with higher gene
expression than the others.
For Cluster 2, this is expected, since this cluster represents genes with
depletion of H3K27me3 near the promoter.
Hence, elevated expression in cluster 2 is consistent with the conventional
view of H3K27me3 as a deactivating mark.
However, Cluster 1, the cluster with the most elevated gene expression,
represents genes with elevated coverage upstream of the TSS, or equivalently,
decreased coverage downstream, inside the gene body.
The opposite pattern, in which H3K27me3 is more abundant within the gene
body and less abundance in the upstream promoter region, does not show
any elevation in gene expression.
As with H3K4me2, this shows that the location of H3K27 trimethylation relative
to the TSS is potentially an important factor beyond simple proximity.
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Show the figures where the negative result ended this line of inquiry.
I need to debug some errors resulting from an R upgrade to do this.
\end_layout
\end_inset
\end_layout
\begin_layout Subsection
Defined pattern analysis
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
This was where I defined interesting expression patterns and then looked
at initial relative promoter coverage for each expression pattern.
Negative result.
I forgot about this until recently.
Worth including?
\end_layout
\end_inset
\end_layout
\begin_layout Subsection
Promoter CpG islands?
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
I forgot until recently about the work I did on this.
Worth including?
\end_layout
\end_inset
\end_layout
\begin_layout Section
Discussion
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Write better section headers
\end_layout
\end_inset
\end_layout
\begin_layout Subsection
Effective promoter radius
\end_layout
\begin_layout Standard
Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:near-promoter-peak-enrich"
plural "false"
caps "false"
noprefix "false"
\end_inset
shows that H3K4me2, H3K4me3, and H3K27me3 are all enriched near promoters,
relative to the rest of the genome, consistent with their conventionally
understood role in regulating gene transcription.
Interestingly, the radius within this enrichment occurs is not the same
for each histone mark.
H3K4me2 and H3K4me3 are enriched within a 1
\begin_inset space \thinspace{}
\end_inset
kb radius, while H3K27me3 is enriched within 2.5
\begin_inset space \thinspace{}
\end_inset
kb.
Notably, the determined promoter radius was consistent across all experimental
conditions, varying only between different histone marks.
This suggests that the conventional
\begin_inset Quotes eld
\end_inset
one size fits all
\begin_inset Quotes erd
\end_inset
approach of defining a single promoter region for each gene (or each TSS)
and using that same promoter region for analyzing all types of genomic
data within an experiment may not be appropriate, and a better approach
may be to use a separate promoter radius for each kind of data, with each
radius being derived from the data itself.
Furthermore, the apparent assymetry of upstream and downstream promoter
histone modification with respect to gene expression, seen in Figures
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K4me2-neighborhood"
plural "false"
caps "false"
noprefix "false"
\end_inset
,
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K4me3-neighborhood"
plural "false"
caps "false"
noprefix "false"
\end_inset
, and
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K27me3-neighborhood"
plural "false"
caps "false"
noprefix "false"
\end_inset
, shows that even the concept of a promoter
\begin_inset Quotes eld
\end_inset
radius
\begin_inset Quotes erd
\end_inset
is likely an oversimplification.
At a minimum, nearby enrichment of peaks should be evaluated separately
for both upstream and downstream peaks, and an appropriate
\begin_inset Quotes eld
\end_inset
radius
\begin_inset Quotes erd
\end_inset
should be selected for each direction.
\end_layout
\begin_layout Standard
Figures
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K4me2-neighborhood"
plural "false"
caps "false"
noprefix "false"
\end_inset
and
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K4me3-neighborhood"
plural "false"
caps "false"
noprefix "false"
\end_inset
show that the determined promoter radius of 1
\begin_inset space ~
\end_inset
kb is approximately consistent with the distance from the TSS at which enrichmen
t of H3K4 methylationis correlates with increased expression, showing that
this radius, which was determined by a simple analysis of measuring the
distance from each TSS to the nearest peak, also has functional significance.
For H3K27me3, the correlation between histone modification near the promoter
and gene expression is more complex, involving non-peak variations such
as troughs in coverage at the TSS and asymmetric coverage upstream and
downstream, so it is difficult in this case to evaluate whether the 2.5
\begin_inset space ~
\end_inset
kb radius determined from TSS-to-peak distances is functionally significant.
However, the two patterns of coverage associated with elevated expression
levels both have interesting features within this radius.
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
My instinct is to say
\begin_inset Quotes eld
\end_inset
further study is needed
\begin_inset Quotes erd
\end_inset
here, but that goes in Chapter 5, right?
\end_layout
\end_inset
\end_layout
\begin_layout Subsection
Convergence
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Look up some more references for these histone marks being involved in memory
differentiation.
(Ask Sarah)
\end_layout
\end_inset
\end_layout
\begin_layout Standard
We have observed that all 3 histone marks and the gene expression data all
exhibit evidence of convergence in abundance between naive and memory cells
by day 14 after activation (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:PCoA-promoters"
plural "false"
caps "false"
noprefix "false"
\end_inset
, Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:Number-signif-promoters"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
The MOFA latent factor scatter plots (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:mofa-lf-scatter"
plural "false"
caps "false"
noprefix "false"
\end_inset
) show that this pattern of convergence is captured in latent factor 5.
Like all the latent factors in this plot, this factor explains a substantial
portion of the variance in all 4 data sets, indicating a coordinated pattern
of variation shared across all histone marks and gene expression.
This, of course, is consistent with the expectation that any naive CD4
T-cells remaining at day 14 should have differentiated into memory cells
by that time, and should therefore have a genomic state similar to memory
cells.
This convergence is evidence that these histone marks all play an important
role in the naive-to-memory differentiation process.
A histone mark that was not involved in naive-to-memory differentiation
would not be expected to converge in this way after activation.
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/LaMere2016_fig8.pdf
lyxscale 50
width 60col%
groupId colwidth
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:Lamere2016-Fig8"
\end_inset
Lamere 2016 Figure 8
\begin_inset CommandInset citation
LatexCommand cite
key "LaMere2016"
literal "false"
\end_inset
,
\begin_inset Quotes eld
\end_inset
Model for the role of H3K4 methylation during CD4 T-cell activation.
\begin_inset Quotes erd
\end_inset
\series default
Reproduced with permission.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
In H3K4me2, H3K4me3, and RNA-seq, this convergence appears to be in progress
already by Day 5, shown by the smaller distance between naive and memory
cells at day 5 along the
\begin_inset Formula $y$
\end_inset
-axes in Figures
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:PCoA-H3K4me2-prom"
plural "false"
caps "false"
noprefix "false"
\end_inset
,
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:PCoA-H3K4me3-prom"
plural "false"
caps "false"
noprefix "false"
\end_inset
, and
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:RNA-PCA-group"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
This agrees with the model proposed by Sarah Lamere based on an prior analysis
of the same data, shown in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:Lamere2016-Fig8"
plural "false"
caps "false"
noprefix "false"
\end_inset
, which shows the pattern of H3K4 methylation and expression for naive cells
and memory cells converging at day 5.
This model was developed without the benefit of the PCoA plots in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:PCoA-promoters"
plural "false"
caps "false"
noprefix "false"
\end_inset
, which have been corrected for confounding factors by ComBat and SVA.
This shows that proper batch correction assists in extracting meaningful
patterns in the data while eliminating systematic sources of irrelevant
variation in the data, allowing simple automated procedures like PCoA to
reveal interesting behaviors in the data that were previously only detectable
by a detailed manual analysis.
\end_layout
\begin_layout Standard
While the ideal comparison to demonstrate this convergence would be naive
cells at day 14 to memory cells at day 0, this is not feasible in this
experimental system, since neither naive nor memory cells are able to fully
return to their pre-activation state, as shown by the lack of overlap between
days 0 and 14 for either naive or memory cells in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:PCoA-promoters"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
\end_layout
\begin_layout Subsection
Positional
\end_layout
\begin_layout Standard
When looking at patterns in the relative coverage of each histone mark near
the TSS of each gene, several interesting patterns were apparent.
For H3K4me2 and H3K4me3, the pattern was straightforward: the consistent
pattern across all promoters was a single peak a few kb wide, with the
main axis of variation being the position of this peak relative to the
TSS (Figures
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K4me2-neighborhood"
plural "false"
caps "false"
noprefix "false"
\end_inset
&
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K4me3-neighborhood"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
There were no obvious
\begin_inset Quotes eld
\end_inset
preferred
\begin_inset Quotes erd
\end_inset
positions, but rather a continuous distribution of relative positions ranging
all across the promoter region.
The association with gene expression was also straightforward: peaks closer
to the TSS were more strongly associated with elevated gene expression.
Coverage downstream of the TSS appears to be more strongly associated with
elevated expression than coverage the same distance upstream, indicating
that the
\begin_inset Quotes eld
\end_inset
effective promoter region
\begin_inset Quotes erd
\end_inset
for H3K4me2 and H3K4me3 may be centered downstream of the TSS.
\end_layout
\begin_layout Standard
The relative promoter coverage for H3K27me3 had a more complex pattern,
with two specific patterns of promoter coverage associated with elevated
expression: a sharp depletion of H3K27me3 around the TSS relative to the
surrounding area, and a depletion of H3K27me3 downstream of the TSS relative
to upstream (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K27me3-neighborhood"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
A previous study found that H3K27me3 depletion within the gene body was
associated with elevated gene expression in 4 different cell types in mice
\begin_inset CommandInset citation
LatexCommand cite
key "Young2011"
literal "false"
\end_inset
.
This is consistent with the second pattern described here.
This study also reported that a spike in coverage at the TSS was associated
with
\emph on
lower
\emph default
expression, which is indirectly consistent with the first pattern described
here, in the sense that it associates lower H3K27me3 levels near the TSS
with higher expression.
\end_layout
\begin_layout Subsection
Workflow
\end_layout
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
afterpage{
\end_layout
\begin_layout Plain Layout
\backslash
begin{landscape}
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/CD4-csaw/rulegraphs/rulegraph-all.pdf
lyxscale 50
width 100col%
height 95theight%
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "fig:rulegraph"
\end_inset
\series bold
Dependency graph of steps in reproducible workflow.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
end{landscape}
\end_layout
\begin_layout Plain Layout
}
\end_layout
\end_inset
\end_layout
\begin_layout Standard
The analyses described in this chapter were organized into a reproducible
workflow using the Snakemake workflow management system.
As shown in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:rulegraph"
plural "false"
caps "false"
noprefix "false"
\end_inset
, the workflow includes many steps with complex dependencies between them.
For example, the step that counts the number of ChIP-seq reads in 500
\begin_inset space ~
\end_inset
bp windows in each promoter (the starting point for Figures
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K4me2-neighborhood"
plural "false"
caps "false"
noprefix "false"
\end_inset
,
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K4me3-neighborhood"
plural "false"
caps "false"
noprefix "false"
\end_inset
, and
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K27me3-neighborhood"
plural "false"
caps "false"
noprefix "false"
\end_inset
), named
\begin_inset Formula $\texttt{chipseq\_count\_tss\_neighborhoods}$
\end_inset
, depends on the RNA-seq abundance estimates in order to select the most-used
TSS for each gene, the aligned ChIP-seq reads, the index for those reads,
and the blacklist of regions to be excluded from ChIP-seq analysis.
Each step declares its inputs and outputs, and Snakemake uses these to
determine the dependencies between steps.
Each step is marked as depending on all the steps whose outputs match its
inputs, generating the workflow graph in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:rulegraph"
plural "false"
caps "false"
noprefix "false"
\end_inset
, which Snakemake uses to determine order in which to execute each step
so that each step is executed only after all of the steps it depends on
have completed, thereby automating the entire workflow from start to finish.
\end_layout
\begin_layout Standard
In addition to simply making it easier to organize the steps in the analysis,
structuring the analysis as a workflow allowed for some analysis strategies
that would not have been practical otherwise.
For example, 5 different RNA-seq quantification methods were tested against
two different reference transcriptome annotations for a total of 10 different
quantifications of the same RNA-seq data.
These were then compared against each other in the exploratory data analysis
step, to determine that the results were not very sensitive to either the
choice of quantification method or the choice of annotation.
This was possible with a single script for the exploratory data analysis,
because Snakemake was able to automate running this script for every combinatio
n of method and reference.
In a similar manner, two different peak calling methods were tested against
each other, and in this case it was determined that SICER was unambiguously
superior to MACS for all histone marks studied.
By enabling these types of comparisons, structuring the analysis as an
automated workflow allowed important analysis decisions to be made in a
data-driven way, by running every reasonable option through the downstream
steps, seeing the consequences of choosing each option, and deciding accordingl
y.
\end_layout
\begin_layout Subsection
Data quality issues limit conclusions
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Is this needed?
\end_layout
\end_inset
\end_layout
\begin_layout Chapter
Improving array-based diagnostics for transplant rejection by optimizing
data preprocessing
\end_layout
\begin_layout Standard
\begin_inset Note Note
status open
\begin_layout Plain Layout
Chapter author list: Me, Sunil, Tom, Padma, Dan
\end_layout
\end_inset
\end_layout
\begin_layout Section
Approach
\end_layout
\begin_layout Subsection
Proper pre-processing is essential for array data
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
This section could probably use some citations
\end_layout
\end_inset
\end_layout
\begin_layout Standard
Microarrays, bead arrays, and similar assays produce raw data in the form
of fluorescence intensity measurements, with the each intensity measurement
proportional to the abundance of some fluorescently-labelled target DNA
or RNA sequence that base pairs to a specific probe sequence.
However, these measurements for each probe are also affected my many technical
confounding factors, such as the concentration of target material, strength
of off-target binding, and the sensitivity of the imaging sensor.
Some array designs also use multiple probe sequences for each target.
Hence, extensive pre-processing of array data is necessary to normalize
out the effects of these technical factors and summarize the information
from multiple probes to arrive at a single usable estimate of abundance
or other relevant quantity, such as a ratio of two abundances, for each
target.
\end_layout
\begin_layout Standard
The choice of pre-processing algorithms used in the analysis of an array
data set can have a large effect on the results of that analysis.
However, despite their importance, these steps are often neglected or rushed
in order to get to the more scientifically interesting analysis steps involving
the actual biology of the system under study.
Hence, it is often possible to achieve substantial gains in statistical
power, model goodness-of-fit, or other relevant performance measures, by
checking the assumptions made by each preprocessing step and choosing specific
normalization methods tailored to the specific goals of the current analysis.
\end_layout
\begin_layout Subsection
Clinical diagnostic applications for microarrays require single-channel
normalization
\end_layout
\begin_layout Standard
As the cost of performing microarray assays falls, there is increasing interest
in using genomic assays for diagnostic purposes, such as distinguishing
healthy transplants (TX) from transplants undergoing acute rejection (AR)
or acute dysfunction with no rejection (ADNR).
However, the the standard normalization algorithm used for microarray data,
Robust Multi-chip Average (RMA)
\begin_inset CommandInset citation
LatexCommand cite
key "Irizarry2003a"
literal "false"
\end_inset
, is not applicable in a clinical setting.
Two of the steps in RMA, quantile normalization and probe summarization
by median polish, depend on every array in the data set being normalized.
This means that adding or removing any arrays from a data set changes the
normalized values for all arrays, and data sets that have been normalized
separately cannot be compared to each other.
Hence, when using RMA, any arrays to be analyzed together must also be
normalized together, and the set of arrays included in the data set must
be held constant throughout an analysis.
\end_layout
\begin_layout Standard
These limitations present serious impediments to the use of arrays as a
diagnostic tool.
When training a classifier, the samples to be classified must not be involved
in any step of the training process, lest their inclusion bias the training
process.
Once a classifier is deployed in a clinical setting, the samples to be
classified will not even
\emph on
exist
\emph default
at the time of training, so including them would be impossible even if
it were statistically justifiable.
Therefore, any machine learning application for microarrays demands that
the normalized expression values computed for an array must depend only
on information contained within that array.
This would ensure that each array's normalization is independent of every
other array, and that arrays normalized separately can still be compared
to each other without bias.
Such a normalization is commonly referred to as
\begin_inset Quotes eld
\end_inset
single-channel normalization
\begin_inset Quotes erd
\end_inset
.
\end_layout
\begin_layout Standard
Frozen RMA (fRMA) addresses these concerns by replacing the quantile normalizati
on and median polish with alternatives that do not introduce inter-array
dependence, allowing each array to be normalized independently of all others
\begin_inset CommandInset citation
LatexCommand cite
key "McCall2010"
literal "false"
\end_inset
.
Quantile normalization is performed against a pre-generated set of quantiles
learned from a collection of 850 publically available arrays sampled from
a wide variety of tissues in the Gene Expression Omnibus (GEO).
Each array's probe intensity distribution is normalized against these pre-gener
ated quantiles.
The median polish step is replaced with a robust weighted average of probe
intensities, using inverse variance weights learned from the same public
GEO data.
The result is a normalization that satisfies the requirements mentioned
above: each array is normalized independently of all others, and any two
normalized arrays can be compared directly to each other.
\end_layout
\begin_layout Standard
One important limitation of fRMA is that it requires a separate reference
data set from which to learn the parameters (reference quantiles and probe
weights) that will be used to normalize each array.
These parameters are specific to a given array platform, and pre-generated
parameters are only provided for the most common platforms, such as Affymetrix
hgu133plus2.
For a less common platform, such as hthgu133pluspm, is is necessary to
learn custom parameters from in-house data before fRMA can be used to normalize
samples on that platform
\begin_inset CommandInset citation
LatexCommand cite
key "McCall2011"
literal "false"
\end_inset
.
\end_layout
\begin_layout Standard
One other option is the aptly-named Single Channel Array Normalization (SCAN),
which adapts a normalization method originally designed for tiling arrays
\begin_inset CommandInset citation
LatexCommand cite
key "Piccolo2012"
literal "false"
\end_inset
.
SCAN is truly single-channel in that it does not require a set of normalization
paramters estimated from an external set of reference samples like fRMA
does.
\end_layout
\begin_layout Subsection
Heteroskedasticity must be accounted for in methylation array data
\end_layout
\begin_layout Standard
DNA methylation arrays are a relatively new kind of assay that uses microarrays
to measure the degree of methylation on cytosines in specific regions arrayed
across the genome.
First, bisulfite treatment converts all unmethylated cytosines to uracil
(which then become thymine after amplication) while leaving methylated
cytosines unaffected.
Then, each target region is interrogated with two probes: one binds to
the original genomic sequence and interrogates the level of methylated
DNA, and the other binds to the same sequence with all cytosines replaced
by thymidines and interrogates the level of unmethylated DNA.
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/methylvoom/sigmoid.pdf
lyxscale 50
width 60col%
groupId colwidth
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "fig:Sigmoid-beta-m-mapping"
\end_inset
\series bold
Sigmoid shape of the mapping between β and M values
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
After normalization, these two probe intensities are summarized in one of
two ways, each with advantages and disadvantages.
β
\series bold
\series default
values, interpreted as fraction of DNA copies methylated, range from 0 to
1.
β
\series bold
\series default
values are conceptually easy to interpret, but the constrained range makes
them unsuitable for linear modeling, and their error distributions are
highly non-normal, which also frustrates linear modeling.
M-values, interpreted as the log ratio of methylated to unmethylated copies,
are computed by mapping the beta values from
\begin_inset Formula $[0,1]$
\end_inset
onto
\begin_inset Formula $(-\infty,+\infty)$
\end_inset
using a sigmoid curve (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:Sigmoid-beta-m-mapping"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
This transformation results in values with better statistical perperties:
the unconstrained range is suitable for linear modeling, and the error
distributions are more normal.
Hence, most linear modeling and other statistical testing on methylation
arrays is performed using M-values.
\end_layout
\begin_layout Standard
However, the steep slope of the sigmoid transformation near 0 and 1 tends
to over-exaggerate small differences in β values near those extremes, which
in turn amplifies the error in those values, leading to a U-shaped trend
in the mean-variance curve: extreme values have higher variances than values
near the middle.
This mean-variance dependency must be accounted for when fitting the linear
model for differential methylation, or else the variance will be systematically
overestimated for probes with moderate M-values and underestimated for
probes with extreme M-values.
This is particularly undesirable for methylation data because the intermediate
M-values are the ones of most interest, since they are more likely to represent
areas of varying methylation, whereas extreme M-values typically represent
complete methylation or complete lack of methylation.
\end_layout
\begin_layout Standard
RNA-seq read count data are also known to show heteroskedasticity, and the
voom method was introduced for modeling this heteroskedasticity by estimating
the mean-variance trend in the data and using this trend to assign precision
weights to each observation
\begin_inset CommandInset citation
LatexCommand cite
key "Law2013"
literal "false"
\end_inset
.
While methylation array data are not derived from counts and have a very
different mean-variance relationship from that of typical RNA-seq data,
the voom method makes no specific assumptions on the shape of the mean-variance
relationship – it only assumes that the relationship can be modeled as
a smooth curve.
Hence, the method is sufficiently general to model the mean-variance relationsh
ip in methylation array data.
However, the standard implementation of voom assumes that the input is
given in raw read counts, and it must be adapted to run on methylation
M-values.
\end_layout
\begin_layout Section
Methods
\end_layout
\begin_layout Subsection
Evaluation of classifier performance with different normalization methods
\end_layout
\begin_layout Standard
For testing different expression microarray normalizations, a data set of
157 hgu133plus2 arrays was used, consisting of blood samples from kidney
transplant patients whose grafts had been graded as TX, AR, or ADNR via
biopsy and histology (46 TX, 69 AR, 42 ADNR)
\begin_inset CommandInset citation
LatexCommand cite
key "Kurian2014"
literal "true"
\end_inset
.
Additionally, an external validation set of 75 samples was gathered from
public GEO data (37 TX, 38 AR, no ADNR).
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Find appropriate GEO identifiers if possible.
Kurian 2014 says GSE15296, but this seems to be different data.
I also need to look up the GEO accession for the external validation set.
\end_layout
\end_inset
\end_layout
\begin_layout Standard
To evaluate the effect of each normalization on classifier performance,
the same classifier training and validation procedure was used after each
normalization method.
The PAM package was used to train a nearest shrunken centroid classifier
on the training set and select the appropriate threshold for centroid shrinking.
Then the trained classifier was used to predict the class probabilities
of each validation sample.
From these class probabilities, ROC curves and area-under-curve (AUC) values
were generated
\begin_inset CommandInset citation
LatexCommand cite
key "Turck2011"
literal "false"
\end_inset
.
Each normalization was tested on two different sets of training and validation
samples.
For internal validation, the 115 TX and AR arrays in the internal set were
split at random into two equal sized sets, one for training and one for
validation, each containing the same numbers of TX and AR samples as the
other set.
For external validation, the full set of 115 TX and AR samples were used
as a training set, and the 75 external TX and AR samples were used as the
validation set.
Thus, 2 ROC curves and AUC values were generated for each normalization
method: one internal and one external.
Because the external validation set contains no ADNR samples, only classificati
on of TX and AR samples was considered.
The ADNR samples were included during normalization but excluded from all
classifier training and validation.
This ensures that the performance on internal and external validation sets
is directly comparable, since both are performing the same task: distinguising
TX from AR.
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Summarize the get.best.threshold algorithm for PAM threshold selection, or
just put the code online?
\end_layout
\end_inset
\end_layout
\begin_layout Standard
Six different normalization strategies were evaluated.
First, 2 well-known non-single-channel normalization methods were considered:
RMA and dChip
\begin_inset CommandInset citation
LatexCommand cite
key "Li2001,Irizarry2003a"
literal "false"
\end_inset
.
Since RMA produces expression values on a log2 scale and dChip does not,
the values from dChip were log2 transformed after normalization.
Next, RMA and dChip followed by Global Rank-invariant Set Normalization
(GRSN) were tested
\begin_inset CommandInset citation
LatexCommand cite
key "Pelz2008"
literal "false"
\end_inset
.
Post-processing with GRSN does not turn RMA or dChip into single-channel
methods, but it may help mitigate batch effects and is therefore useful
as a benchmark.
Lastly, the two single-channel normalization methods, fRMA and SCAN, were
tested
\begin_inset CommandInset citation
LatexCommand cite
key "McCall2010,Piccolo2012"
literal "false"
\end_inset
.
When evaluting internal validation performance, only the 157 internal samples
were normalized; when evaluating external validation performance, all 157
internal samples and 75 external samples were normalized together.
\end_layout
\begin_layout Standard
For demonstrating the problem with separate normalization of training and
validation data, one additional normalization was performed: the internal
and external sets were each normalized separately using RMA, and the normalized
data for each set were combined into a single set with no further attempts
at normalizing between the two sets.
The represents approximately how RMA would have to be used in a clinical
setting, where the samples to be classified are not available at the time
the classifier is trained.
\end_layout
\begin_layout Subsection
Generating custom fRMA vectors for hthgu133pluspm array platform
\end_layout
\begin_layout Standard
In order to enable fRMA normalization for the hthgu133pluspm array platform,
custom fRMA normalization vectors were trained using the frmaTools package
\begin_inset CommandInset citation
LatexCommand cite
key "McCall2011"
literal "false"
\end_inset
.
Separate vectors were created for two types of samples: kidney graft biopsy
samples and blood samples from graft recipients.
For training, a 341 kidney biopsy samples from 2 data sets and 965 blood
samples from 5 data sets were used as the reference set.
Arrays were groups into batches based on unique combinations of sample
type (blood or biopsy), diagnosis (TX, AR, etc.), data set, and scan date.
Thus, each batch represents arrays of the same kind that were run together
on the same day.
For estimating the probe inverse variance weights, frmaTools requires equal-siz
ed batches, which means a batch size must be chosen, and then batches smaller
than that size must be ignored, while batches larger than the chosen size
must be downsampled.
This downsampling is performed randomly, so the sampling process is repeated
5 times and the resulting normalizations are compared to each other.
\end_layout
\begin_layout Standard
To evaluate the consistency of the generated normalization vectors, the
5 fRMA vector sets generated from 5 random batch samplings were each used
to normalize the same 20 randomly selected samples from each tissue.
Then the normalized expression values for each probe on each array were
compared across all normalizations.
Each fRMA normalization was also compared against the normalized expression
values obtained by normalizing the same 20 samples with ordinary RMA.
\end_layout
\begin_layout Subsection
Modeling methylation array M-value heteroskedasticy in linear models with
modified voom implementation
\end_layout
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status open
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Put code on Github and reference it.
\end_layout
\end_inset
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\begin_layout Standard
To investigate the whether DNA methylation could be used to distinguish
between healthy and dysfunctional transplants, a data set of 78 Illumina
450k methylation arrays from human kidney graft biopsies was analyzed for
differential metylation between 4 transplant statuses: healthy transplant
(TX), transplants undergoing acute rejection (AR), acute dysfunction with
no rejection (ADNR), and chronic allograpft nephropathy (CAN).
The data consisted of 33 TX, 9 AR, 8 ADNR, and 28 CAN samples.
The uneven group sizes are a result of taking the biopsy samples before
the eventual fate of the transplant was known.
Each sample was additionally annotated with a donor ID (anonymized), Sex,
Age, Ethnicity, Creatinine Level, and Diabetes diagnosois (all samples
in this data set came from patients with either Type 1 or Type 2 diabetes).
\end_layout
\begin_layout Standard
The intensity data were first normalized using subset-quantile within array
normalization (SWAN)
\begin_inset CommandInset citation
LatexCommand cite
key "Maksimovic2012"
literal "false"
\end_inset
, then converted to intensity ratios (beta values)
\begin_inset CommandInset citation
LatexCommand cite
key "Aryee2014"
literal "false"
\end_inset
.
Any probes binding to loci that overlapped annotated SNPs were dropped,
and the annotated sex of each sample was verified against the sex inferred
from the ratio of median probe intensities for the X and Y chromosomes.
Then, the ratios were transformed to M-values.
\end_layout
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Analysis
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|
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random effect
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eBayes
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SVA
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weights
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voom
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A
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Yes
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Yes
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No
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No
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B
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Yes
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Yes
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Yes
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C
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Yes
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\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "tab:Summary-of-meth-analysis"
\end_inset
Summary of analysis variants for methylation array data.
\series default
Each analysis included a different set of steps to adjust or account for
various systematic features of the data.
Random effect: The model included a random effect accounting for correlation
between samples from the same patient
\begin_inset CommandInset citation
LatexCommand cite
key "Smyth2005a"
literal "false"
\end_inset
; eBayes: Empirical bayes squeezing of per-probe variances toward the mean-varia
nce trend
\begin_inset CommandInset citation
LatexCommand cite
key "Ritchie2015"
literal "false"
\end_inset
; SVA: Surrogate variable analysis to account for unobserved confounders
\begin_inset CommandInset citation
LatexCommand cite
key "Leek2007"
literal "false"
\end_inset
; Weights: Estimate sample weights to account for differences in sample
quality
\begin_inset CommandInset citation
LatexCommand cite
key "Liu2015,Ritchie2006"
literal "false"
\end_inset
; voom: Use mean-variance trend to assign individual sample weights
\begin_inset CommandInset citation
LatexCommand cite
key "Law2013"
literal "false"
\end_inset
.
See the text for a more detailed explanation of each step.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
From the M-values, a series of parallel analyses was performed, each adding
additional steps into the model fit to accomodate a feature of the data
(see Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:Summary-of-meth-analysis"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
For analysis A, a
\begin_inset Quotes eld
\end_inset
basic
\begin_inset Quotes erd
\end_inset
linear modeling analysis was performed, compensating for known confounders
by including terms for the factor of interest (transplant status) as well
as the known biological confounders: sex, age, ethnicity, and diabetes.
Since some samples came from the same patients at different times, the
intra-patient correlation was modeled as a random effect, estimating a
shared correlation value across all probes
\begin_inset CommandInset citation
LatexCommand cite
key "Smyth2005a"
literal "false"
\end_inset
.
Then the linear model was fit, and the variance was modeled using empirical
Bayes squeezing toward the mean-variance trend
\begin_inset CommandInset citation
LatexCommand cite
key "Ritchie2015"
literal "false"
\end_inset
.
Finally, t-tests or F-tests were performed as appropriate for each test:
t-tests for single contrasts, and F-tests for multiple contrasts.
P-values were corrected for multiple testing using the Benjamini-Hochberg
procedure for FDR control
\begin_inset CommandInset citation
LatexCommand cite
key "Benjamini1995"
literal "false"
\end_inset
.
\end_layout
\begin_layout Standard
For the analysis B, surrogate variable analysis (SVA) was used to infer
additional unobserved sources of heterogeneity in the data
\begin_inset CommandInset citation
LatexCommand cite
key "Leek2007"
literal "false"
\end_inset
.
These surrogate variables were added to the design matrix before fitting
the linear model.
In addition, sample quality weights were estimated from the data and used
during linear modeling to down-weight the contribution of highly variable
arrays while increasing the weight to arrays with lower variability
\begin_inset CommandInset citation
LatexCommand cite
key "Ritchie2006"
literal "false"
\end_inset
.
The remainder of the analysis proceeded as in analysis A.
For analysis C, the voom method was adapted to run on methylation array
data and used to model and correct for the mean-variance trend using individual
observation weights
\begin_inset CommandInset citation
LatexCommand cite
key "Law2013"
literal "false"
\end_inset
, which were combined with the sample weights
\begin_inset CommandInset citation
LatexCommand cite
key "Liu2015,Ritchie2006"
literal "false"
\end_inset
.
Each time weights were used, they were estimated once before estimating
the random effect correlation value, and then the weights were re-estimated
taking the random effect into account.
The remainder of the analysis proceeded as in analysis B.
\end_layout
\begin_layout Section
Results
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status open
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Improve subsection titles in this section
\end_layout
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\end_layout
\begin_layout Subsection
Separate normalization with RMA introduces unwanted biases in classification
\end_layout
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\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/PAM/predplot.pdf
lyxscale 50
width 60col%
groupId colwidth
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "fig:Classifier-probabilities-RMA"
\end_inset
\series bold
Classifier probabilities on validation samples when normalized with RMA
together vs.
separately.
\series default
The PAM classifier algorithm was trained on the training set of arrays to
distinguish AR from TX and then used to assign class probabilities to the
validation set.
The process was performed after normalizing all samples together and after
normalizing the training and test sets separately, and the class probabilities
assigned to each sample in the validation set were plotted against each
other (PP(AR), posterior probability of being AR).
The color of each point indicates the true classification of that sample.
\end_layout
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\end_layout
\end_inset
\end_layout
\begin_layout Standard
To demonstrate the problem with non-single-channel normalization methods,
we considered the problem of training a classifier to distinguish TX from
AR using the samples from the internal set as training data, evaluating
performance on the external set.
First, training and evaluation were performed after normalizing all array
samples together as a single set using RMA, and second, the internal samples
were normalized separately from the external samples and the training and
evaluation were repeated.
For each sample in the validation set, the classifier probabilities from
both classifiers were plotted against each other (Fig.
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:Classifier-probabilities-RMA"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
As expected, separate normalization biases the classifier probabilities,
resulting in several misclassifications.
In this case, the bias from separate normalization causes the classifier
to assign a lower probability of AR to every sample.
\end_layout
\begin_layout Subsection
fRMA and SCAN maintain classification performance while eliminating dependence
on normalization strategy
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\begin_inset Graphics
filename graphics/PAM/ROC-TXvsAR-internal.pdf
lyxscale 50
height 40theight%
groupId roc-pam
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\begin_inset Caption Standard
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\begin_inset CommandInset label
LatexCommand label
name "fig:ROC-PAM-int"
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ROC curves for PAM on internal validation data
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placement tb
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\begin_inset Graphics
filename graphics/PAM/ROC-TXvsAR-external.pdf
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height 40theight%
groupId roc-pam
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\begin_inset CommandInset label
LatexCommand label
name "fig:ROC-PAM-ext"
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ROC curves for PAM on external validation data
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\begin_inset Caption Standard
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\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:ROC-PAM-main"
\end_inset
ROC curves for PAM using different normalization strategies.
\series default
ROC curves were generated for PAM classification of AR vs TX after 6 different
normalization strategies applied to the same data sets.
Only fRMA and SCAN are single-channel normalizations.
The other normalizations are for comparison.
\end_layout
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Normalization
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Single-channel?
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Internal Val.
AUC
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External Val.
AUC
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RMA
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0.852
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dChip
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0.891
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RMA + GRSN
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dChip + GRSN
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SCAN
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\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "tab:AUC-PAM"
\end_inset
\series bold
ROC curve AUC values for internal and external validation with 6 different
normalization strategies.
\series default
These AUC values correspond to the ROC curves in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:ROC-PAM-main"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
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For internal validation, the 6 methods' AUC values ranged from 0.816 to 0.891,
as shown in Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:AUC-PAM"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
Among the non-single-channel normalizations, dChip outperformed RMA, while
GRSN reduced the AUC values for both dChip and RMA.
Both single-channel methods, fRMA and SCAN, slightly outperformed RMA,
with fRMA ahead of SCAN.
However, the difference between RMA and fRMA is still quite small.
Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:ROC-PAM-int"
plural "false"
caps "false"
noprefix "false"
\end_inset
shows that the ROC curves for RMA, dChip, and fRMA look very similar and
relatively smooth, while both GRSN curves and the curve for SCAN have a
more jagged appearance.
\end_layout
\begin_layout Standard
For external validation, as expected, all the AUC values are lower than
the internal validations, ranging from 0.642 to 0.750 (Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:AUC-PAM"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
With or without GRSN, RMA shows its dominance over dChip in this more challengi
ng test.
Unlike in the internal validation, GRSN actually improves the classifier
performance for RMA, although it does not for dChip.
Once again, both single-channel methods perform about on par with RMA,
with fRMA performing slightly better and SCAN performing a bit worse.
Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:ROC-PAM-ext"
plural "false"
caps "false"
noprefix "false"
\end_inset
shows the ROC curves for the external validation test.
As expected, none of them are as clean-looking as the internal validation
ROC curves.
The curves for RMA, RMA+GRSN, and fRMA all look similar, while the other
curves look more divergent.
\end_layout
\begin_layout Subsection
fRMA with custom-generated vectors enables single-channel normalization
on hthgu133pluspm platform
\end_layout
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filename graphics/frma-pax-bx/batchsize_batches.pdf
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name "fig:batch-size-batches"
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\series bold
Number of batches usable in fRMA probe weight learning as a function of
batch size.
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\begin_inset CommandInset label
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name "fig:batch-size-samples"
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\series bold
Number of samples usable in fRMA probe weight learning as a function of
batch size.
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\series bold
\begin_inset CommandInset label
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name "fig:frmatools-batch-size"
\end_inset
Effect of batch size selection on number of batches and number of samples
included in fRMA probe weight learning.
\series default
For batch sizes ranging from 3 to 15, the number of batches (a) and samples
(b) included in probe weight training were plotted for biopsy (BX) and
blood (PAX) samples.
The selected batch size, 5, is marked with a dotted vertical line.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
In order to enable use of fRMA to normalize hthgu133pluspm, a custom set
of fRMA vectors was created.
First, an appropriate batch size was chosen by looking at the number of
batches and number of samples included as a function of batch size (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:frmatools-batch-size"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
For a given batch size, all batches with fewer samples that the chosen
size must be ignored during training, while larger batches must be randomly
downsampled to the chosen size.
Hence, the number of samples included for a given batch size equals the
batch size times the number of batches with at least that many samples.
From Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:batch-size-samples"
plural "false"
caps "false"
noprefix "false"
\end_inset
, it is apparent that that a batch size of 8 maximizes the number of samples
included in training.
Increasing the batch size beyond this causes too many smaller batches to
be excluded, reducing the total number of samples for both tissue types.
However, a batch size of 8 is not necessarily optimal.
The article introducing frmaTools concluded that it was highly advantageous
to use a smaller batch size in order to include more batches, even at the
expense of including fewer total samples in training
\begin_inset CommandInset citation
LatexCommand cite
key "McCall2011"
literal "false"
\end_inset
.
To strike an appropriate balance between more batches and more samples,
a batch size of 5 was chosen.
For both blood and biopsy samples, this increased the number of batches
included by 10, with only a modest reduction in the number of samples compared
to a batch size of 8.
With a batch size of 5, 26 batches of biopsy samples and 46 batches of
blood samples were available.
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/frma-pax-bx/M-BX-violin.pdf
lyxscale 40
width 45col%
groupId m-violin
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "fig:m-bx-violin"
\end_inset
\series bold
Violin plot of inter-normalization log ratios for biopsy samples.
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/frma-pax-bx/M-PAX-violin.pdf
lyxscale 40
width 45col%
groupId m-violin
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "fig:m-pax-violin"
\end_inset
\series bold
Violin plot of inter-normalization log ratios for blood samples.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
Violin plot of log ratios between normalizations for 20 biopsy samples.
\series default
Each of 20 randomly selected samples was normalized with RMA and with 5
different sets of fRMA vectors.
The distribution of log ratios between normalized expression values, aggregated
across all 20 arrays, was plotted for each pair of normalizations.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
Since fRMA training requires equal-size batches, larger batches are downsampled
randomly.
This introduces a nondeterministic step in the generation of normalization
vectors.
To show that this randomness does not substantially change the outcome,
the random downsampling and subsequent vector learning was repeated 5 times,
with a different random seed each time.
20 samples were selected at random as a test set and normalized with each
of the 5 sets of fRMA normalization vectors as well as ordinary RMA, and
the normalized expression values were compared across normalizations.
Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:m-bx-violin"
plural "false"
caps "false"
noprefix "false"
\end_inset
shows a summary of these comparisons for biopsy samples.
Comparing RMA to each of the 5 fRMA normalizations, the distribution of
log ratios is somewhat wide, indicating that the normalizations disagree
on the expression values of a fair number of probe sets.
In contrast, comparisons of fRMA against fRMA, the vast mojority of probe
sets have very small log ratios, indicating a very high agreement between
the normalized values generated by the two normalizations.
This shows that the fRMA normalization's behavior is not very sensitive
to the random downsampling of larger batches during training.
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/frma-pax-bx/MA-BX-RMA.fRMA-RASTER.png
lyxscale 10
width 45col%
groupId ma-frma
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "fig:ma-bx-rma-frma"
\end_inset
RMA vs.
fRMA for biopsy samples.
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/frma-pax-bx/MA-BX-fRMA.fRMA-RASTER.png
lyxscale 10
width 45col%
groupId ma-frma
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "fig:ma-bx-frma-frma"
\end_inset
fRMA vs fRMA for biopsy samples.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\align center
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/frma-pax-bx/MA-PAX-RMA.fRMA-RASTER.png
lyxscale 10
width 45col%
groupId ma-frma
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "fig:MA-PAX-rma-frma"
\end_inset
RMA vs.
fRMA for blood samples.
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/frma-pax-bx/MA-PAX-fRMA.fRMA-RASTER.png
lyxscale 10
width 45col%
groupId ma-frma
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "fig:MA-PAX-frma-frma"
\end_inset
fRMA vs fRMA for blood samples.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:Representative-MA-plots"
\end_inset
Representative MA plots comparing RMA and custom fRMA normalizations.
\series default
For each plot, 20 samples were normalized using 2 different normalizations,
and then averages (A) and log ratios (M) were plotted between the two different
normalizations for every probe.
For the
\begin_inset Quotes eld
\end_inset
fRMA vs fRMA
\begin_inset Quotes erd
\end_inset
plots (b & d), two different fRMA normalizations using vectors from two
independent batch samplings were compared.
Density of points is represented by blue shading, and individual outlier
points are plotted.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:ma-bx-rma-frma"
plural "false"
caps "false"
noprefix "false"
\end_inset
shows an MA plot of the RMA-normalized values against the fRMA-normalized
values for the same probe sets and arrays, corresponding to the first row
of Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:m-bx-violin"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
This MA plot shows that not only is there a wide distribution of M-values,
but the trend of M-values is dependent on the average normalized intensity.
This is expected, since the overall trend represents the differences in
the quantile normalization step.
When running RMA, only the quantiles for these specific 20 arrays are used,
while for fRMA the quantile distribution is taking from all arrays used
in training.
Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:ma-bx-frma-frma"
plural "false"
caps "false"
noprefix "false"
\end_inset
shows a similar MA plot comparing 2 different fRMA normalizations, correspondin
g to the 6th row of Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:m-bx-violin"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
The MA plot is very tightly centered around zero with no visible trend.
Figures
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:m-pax-violin"
plural "false"
caps "false"
noprefix "false"
\end_inset
,
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:MA-PAX-rma-frma"
plural "false"
caps "false"
noprefix "false"
\end_inset
, and
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:ma-bx-frma-frma"
plural "false"
caps "false"
noprefix "false"
\end_inset
show exactly the same information for the blood samples, once again comparing
the normalized expression values between normalizations for all probe sets
across 20 randomly selected test arrays.
Once again, there is a wider distribution of log ratios between RMA-normalized
values and fRMA-normalized, and a much tighter distribution when comparing
different fRMA normalizations to each other, indicating that the fRMA training
process is robust to random batch downsampling for the blood samples as
well.
\end_layout
\begin_layout Subsection
SVA, voom, and array weights improve model fit for methylation array data
\end_layout
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
afterpage{
\end_layout
\begin_layout Plain Layout
\backslash
begin{landscape}
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Fix axis labels:
\begin_inset Quotes eld
\end_inset
log2 M-value
\begin_inset Quotes erd
\end_inset
is redundant because M-values are already log scale
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/methylvoom/unadj.dupcor/meanvar-trends-PAGE1-CROP-RASTER.png
lyxscale 15
width 30col%
groupId voomaw-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "fig:meanvar-basic"
\end_inset
Mean-variance trend for analysis A.
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/methylvoom/unadj.dupcor.sva.aw/meanvar-trends-PAGE1-CROP-RASTER.png
lyxscale 15
width 30col%
groupId voomaw-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "fig:meanvar-sva-aw"
\end_inset
Mean-variance trend for analysis B.
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/methylvoom/unadj.dupcor.sva.voomaw/meanvar-trends-PAGE2-CROP-RASTER.png
lyxscale 15
width 30col%
groupId voomaw-subfig
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "fig:meanvar-sva-voomaw"
\end_inset
Mean-variance trend after voom modeling in analysis C.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
Mean-variance trend modeling in methylation array data.
\series default
The estimated log2(standard deviation) for each probe is plotted against
the probe's average M-value across all samples as a black point, with some
transparency to make overplotting more visible, since there are about 450,000
points.
Density of points is also indicated by the dark blue contour lines.
The prior variance trend estimated by eBayes is shown in light blue, while
the lowess trend of the points is shown in red.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
end{landscape}
\end_layout
\begin_layout Plain Layout
}
\end_layout
\end_inset
\end_layout
\begin_layout Standard
Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:meanvar-basic"
plural "false"
caps "false"
noprefix "false"
\end_inset
shows the relationship between the mean M-value and the standard deviation
calculated for each probe in the methylation array data set.
A few features of the data are apparent.
First, the data are very strongly bimodal, with peaks in the density around
M-values of +4 and -4.
These modes correspond to methylation sites that are nearly 100% methylated
and nearly 100% unmethylated, respectively.
The strong bomodality indicates that a majority of probes interrogate sites
that fall into one of these two categories.
The points in between these modes represent sites that are either partially
methylated in many samples, or are fully methylated in some samples and
fully unmethylated in other samples, or some combination.
The next visible feature of the data is the W-shaped variance trend.
The upticks in the variance trend on either side are expected, based on
the sigmoid transformation exaggerating small differences at extreme M-values
(Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:Sigmoid-beta-m-mapping"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
However, the uptick in the center is interesting: it indicates that sites
that are not constitutitively methylated or unmethylated have a higher
variance.
This could be a genuine biological effect, or it could be spurious noise
that is only observable at sites with varying methylation.
\end_layout
\begin_layout Standard
In Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:meanvar-sva-aw"
plural "false"
caps "false"
noprefix "false"
\end_inset
, we see the mean-variance trend for the same methylation array data, this
time with surrogate variables and sample quality weights estimated from
the data and included in the model.
As expected, the overall average variance is smaller, since the surrogate
variables account for some of the variance.
In addition, the uptick in variance in the middle of the M-value range
has disappeared, turning the W shape into a wide U shape.
This indicates that the excess variance in the probes with intermediate
M-values was explained by systematic variations not correlated with known
covariates, and these variations were modeled by the surrogate variables.
The result is a nearly flat variance trend for the entire intermediate
M-value range from about -3 to +3.
Note that this corresponds closely to the range within which the M-value
transformation shown in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:Sigmoid-beta-m-mapping"
plural "false"
caps "false"
noprefix "false"
\end_inset
is nearly linear.
In contrast, the excess variance at the extremes (greater than +3 and less
than -3) was not
\begin_inset Quotes eld
\end_inset
absorbed
\begin_inset Quotes erd
\end_inset
by the surrogate variables and remains in the plot, indicating that this
variation has no systematic component: probes with extreme M-values are
uniformly more variable across all samples, as expected.
\end_layout
\begin_layout Standard
Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:meanvar-sva-voomaw"
plural "false"
caps "false"
noprefix "false"
\end_inset
shows the mean-variance trend after fitting the model with the observation
weights assigned by voom based on the mean-variance trend shown in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:meanvar-sva-aw"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
As expected, the weights exactly counteract the trend in the data, resulting
in a nearly flat trend centered vertically at 1 (i.e.
0 on the log scale).
This shows that the observations with extreme M-values have been appropriately
down-weighted to account for the fact that the noise in those observations
has been amplified by the non-linear M-value transformation.
In turn, this gives relatively more weight to observervations in the middle
region, which are more likely to correspond to probes measuring interesting
biology (not constitutively methylated or unmethylated).
\end_layout
\begin_layout Standard
\begin_inset Float table
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Tabular
\begin_inset Text
\begin_layout Plain Layout
Covariate
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Test used
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
p-value
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Transplant Status
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
F-test
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
0.404
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Diabetes Diagnosis
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
\emph on
t
\emph default
-test
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
0.00106
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Sex
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
\emph on
t
\emph default
-test
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
0.148
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Age
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
linear regression
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
0.212
\end_layout
\end_inset
|
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "tab:weight-covariate-tests"
\end_inset
Association of sample weights with clinical covariates in methylation array
data.
\series default
Computed sample quality log weights were tested for significant association
with each of the variables in the model (1st column).
An appropriate test was selected for each variable based on whether the
variable had 2 categories (
\emph on
t
\emph default
-test), had more than 2 categories (F-test), or was numeric (linear regression).
The test selected is shown in the 2nd column.
P-values for association with the log weights are shown in the 3rd column.
No multiple testing adjustment was performed for these p-values.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Redo the sample weight boxplot with notches, and remove fill colors
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/methylvoom/unadj.dupcor.sva.voomaw/sample-weights-PAGE3-CROP.pdf
lyxscale 50
width 60col%
groupId colwidth
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "fig:diabetes-sample-weights"
\end_inset
\series bold
Box-and-whiskers plot of sample quality weights grouped by diabetes diagnosis.
\series default
Samples were grouped based on diabetes diagnosis, and the distribution of
sample quality weights for each diagnosis was plotted as a box-and-whiskers
plot
\begin_inset CommandInset citation
LatexCommand cite
key "McGill1978"
literal "false"
\end_inset
.
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\end_layout
\end_inset
\end_layout
\begin_layout Standard
To determine whether any of the known experimental factors had an impact
on data quality, the sample quality weights estimated from the data were
tested for association with each of the experimental factors (Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:weight-covariate-tests"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
Diabetes diagnosis was found to have a potentially significant association
with the sample weights, with a t-test p-value of
\begin_inset Formula $1.06\times10^{-3}$
\end_inset
.
Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:diabetes-sample-weights"
plural "false"
caps "false"
noprefix "false"
\end_inset
shows the distribution of sample weights grouped by diabetes diagnosis.
The samples from patients with Type 2 diabetes were assigned significantly
lower weights than those from patients with Type 1 diabetes.
This indicates that the type 2 diabetes samples had an overall higher variance
on average across all probes.
\end_layout
\begin_layout Standard
\begin_inset Float table
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Consider transposing these tables
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Float table
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Tabular
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Analysis
\end_layout
\end_inset
|
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\end_layout
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\end_layout
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Contrast
\end_layout
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A
\end_layout
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B
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C
\end_layout
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TX vs AR
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0
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25
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22
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TX vs ADNR
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7
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338
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369
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TX vs CAN
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0
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231
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278
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\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "tab:methyl-num-signif"
\end_inset
Number of probes significant at 10% FDR.
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float table
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\begin_inset Tabular
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
Analysis
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
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\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
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\begin_inset Text
\begin_layout Plain Layout
Contrast
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
A
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
B
\end_layout
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|
\begin_inset Text
\begin_layout Plain Layout
C
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
TX vs AR
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
0
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
10,063
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
11,225
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
TX vs ADNR
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
27
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
12,674
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
13,086
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
TX vs CAN
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
966
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
20,039
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
20,955
\end_layout
\end_inset
|
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "tab:methyl-est-nonnull"
\end_inset
Estimated number of non-null tests, using the method of averaging local
FDR values
\begin_inset CommandInset citation
LatexCommand cite
key "Phipson2013Thesis"
literal "false"
\end_inset
.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
Estimates of degree of differential methylation in for each contrast in
each analysis.
\series default
For each of the analyses in Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:Summary-of-meth-analysis"
plural "false"
caps "false"
noprefix "false"
\end_inset
, these tables show the number of probes called significantly differentially
methylated at a threshold of 10% FDR for each comparison between TX and
the other 3 transplant statuses (a) and the estimated total number of probes
that are differentially methylated (b).
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status open
\begin_layout Plain Layout
\align center
\series bold
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/methylvoom/unadj.dupcor/pval-histograms-PAGE1.pdf
lyxscale 33
width 30col%
groupId meth-pval-hist
\end_inset
\end_layout
\begin_layout Plain Layout
\series bold
\begin_inset Caption Standard
\begin_layout Plain Layout
AR vs.
TX, Analysis A
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
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status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/methylvoom/unadj.dupcor/pval-histograms-PAGE2.pdf
lyxscale 33
width 30col%
groupId meth-pval-hist
\end_inset
\end_layout
\begin_layout Plain Layout
\series bold
\begin_inset Caption Standard
\begin_layout Plain Layout
ADNR vs.
TX, Analysis A
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
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status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/methylvoom/unadj.dupcor/pval-histograms-PAGE3.pdf
lyxscale 33
width 30col%
groupId meth-pval-hist
\end_inset
\end_layout
\begin_layout Plain Layout
\series bold
\begin_inset Caption Standard
\begin_layout Plain Layout
CAN vs.
TX, Analysis A
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\align center
\series bold
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/methylvoom/unadj.dupcor.sva.aw/pval-histograms-PAGE1.pdf
lyxscale 33
width 30col%
groupId meth-pval-hist
\end_inset
\end_layout
\begin_layout Plain Layout
\series bold
\begin_inset Caption Standard
\begin_layout Plain Layout
AR vs.
TX, Analysis B
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/methylvoom/unadj.dupcor.sva.aw/pval-histograms-PAGE2.pdf
lyxscale 33
width 30col%
groupId meth-pval-hist
\end_inset
\end_layout
\begin_layout Plain Layout
\series bold
\begin_inset Caption Standard
\begin_layout Plain Layout
ADNR vs.
TX, Analysis B
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
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status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/methylvoom/unadj.dupcor.sva.aw/pval-histograms-PAGE3.pdf
lyxscale 33
width 30col%
groupId meth-pval-hist
\end_inset
\end_layout
\begin_layout Plain Layout
\series bold
\begin_inset Caption Standard
\begin_layout Plain Layout
CAN vs.
TX, Analysis B
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\align center
\series bold
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/methylvoom/unadj.dupcor.sva.voomaw/pval-histograms-PAGE1.pdf
lyxscale 33
width 30col%
groupId meth-pval-hist
\end_inset
\end_layout
\begin_layout Plain Layout
\series bold
\begin_inset Caption Standard
\begin_layout Plain Layout
AR vs.
TX, Analysis C
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/methylvoom/unadj.dupcor.sva.voomaw/pval-histograms-PAGE2.pdf
lyxscale 33
width 30col%
groupId meth-pval-hist
\end_inset
\end_layout
\begin_layout Plain Layout
\series bold
\begin_inset Caption Standard
\begin_layout Plain Layout
ADNR vs.
TX, Analysis C
\end_layout
\end_inset
\end_layout
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
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filename graphics/methylvoom/unadj.dupcor.sva.voomaw/pval-histograms-PAGE3.pdf
lyxscale 33
width 30col%
groupId meth-pval-hist
\end_inset
\end_layout
\begin_layout Plain Layout
\series bold
\begin_inset Caption Standard
\begin_layout Plain Layout
CAN vs.
TX, Analysis C
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset CommandInset label
LatexCommand label
name "fig:meth-p-value-histograms"
\end_inset
Probe p-value histograms for each contrast in each analysis.
\series default
For each differential methylation test of interest, the distribution of
p-values across all probes is plotted as a histogram.
The red solid line indicates the density that would be expected under the
null hypothesis for all probes (a
\begin_inset Formula $\mathrm{Uniform}(0,1)$
\end_inset
distribution), while the blue dotted line indicates the fraction of p-values
that actually follow the null hypothesis (
\begin_inset Formula $\hat{\pi}_{0}$
\end_inset
) estimated using the method of averaging local FDR values
\begin_inset CommandInset citation
LatexCommand cite
key "Phipson2013Thesis"
literal "false"
\end_inset
.
the blue line is only shown in each plot if the estimate of
\begin_inset Formula $\hat{\pi}_{0}$
\end_inset
for that p-value distribution is different from 1.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:methyl-num-signif"
plural "false"
caps "false"
noprefix "false"
\end_inset
shows the number of significantly differentially methylated probes reported
by each analysis for each comparison of interest at an FDR of 10%.
As expected, the more elaborate analyses, B and C, report more significant
probes than the more basic analysis A, consistent with the conclusions
above that the data contain hidden systematic variations that must be modeled.
Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:methyl-est-nonnull"
plural "false"
caps "false"
noprefix "false"
\end_inset
shows the estimated number differentially methylated probes for each test
from each analysis.
This was computed by estimating the proportion of null hypotheses that
were true using the method of
\begin_inset CommandInset citation
LatexCommand cite
key "Phipson2013Thesis"
literal "false"
\end_inset
and subtracting that fraction from the total number of probes, yielding
an estimate of the number of null hypotheses that are false based on the
distribution of p-values across the entire dataset.
Note that this does not identify which null hypotheses should be rejected
(i.e.
which probes are significant); it only estimates the true number of such
probes.
Once again, analyses B and C result it much larger estimates for the number
of differentially methylated probes.
In this case, analysis C, the only analysis that includes voom, estimates
the largest number of differentially methylated probes for all 3 contrasts.
If the assumptions of all the methods employed hold, then this represents
a gain in statistical power over the simpler analysis A.
Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:meth-p-value-histograms"
plural "false"
caps "false"
noprefix "false"
\end_inset
shows the p-value distributions for each test, from which the numbers in
Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:methyl-est-nonnull"
plural "false"
caps "false"
noprefix "false"
\end_inset
were generated.
The distributions for analysis A all have a dip in density near zero, which
is a strong sign of a poor model fit.
The histograms for analyses B and C are more well-behaved, with a uniform
component stretching all the way from 0 to 1 representing the probes for
which the null hypotheses is true (no differential methylation), and a
zero-biased component representing the probes for which the null hypothesis
is false (differentially methylated).
These histograms do not indicate any major issues with the model fit.
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
If time allows, maybe generate the PCA plots before/after SVA effect subtraction
?
\end_layout
\end_inset
\end_layout
\begin_layout Section
Discussion
\end_layout
\begin_layout Subsection
fRMA achieves clinically applicable normalization without sacrificing classifica
tion performance
\end_layout
\begin_layout Standard
As shown in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:Classifier-probabilities-RMA"
plural "false"
caps "false"
noprefix "false"
\end_inset
, improper normalization, particularly separate normalization of training
and test samples, leads to unwanted biases in classification.
In a controlled experimental context, it is always possible to correct
this issue by normalizing all experimental samples together.
However, because it is not feasible to normalize all samples together in
a clinical context, a single-channel normalization is required is required.
\end_layout
\begin_layout Standard
The major concern in using a single-channel normalization is that non-single-cha
nnel methods can share information between arrays to improve the normalization,
and single-channel methods risk sacrificing the gains in normalization
accuracy that come from this information sharing.
In the case of RMA, this information sharing is accomplished through quantile
normalization and median polish steps.
The need for information sharing in quantile normalization can easily be
removed by learning a fixed set of quantiles from external data and normalizing
each array to these fixed quantiles, instead of the quantiles of the data
itself.
As long as the fixed quantiles are reasonable, the result will be similar
to standard RMA.
However, there is no analogous way to eliminate cross-array information
sharing in the median polish step, so fRMA replaces this with a weighted
average of probes on each array, with the weights learned from external
data.
This step of fRMA has the greatest potential to diverge from RMA un undesirable
ways.
\end_layout
\begin_layout Standard
However, when run on real data, fRMA performed at least as well as RMA in
both the internal validation and external validation tests.
This shows that fRMA can be used to normalize individual clinical samples
in a class prediction context without sacrificing the classifier performance
that would be obtained by using the more well-established RMA for normalization.
The other single-channel normalization method considered, SCAN, showed
some loss of AUC in the external validation test.
Based on these results, fRMA is the preferred normalization for clinical
samples in a class prediction context.
\end_layout
\begin_layout Subsection
Robust fRMA vectors can be generated for new array platforms
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Look up the exact numbers, do a find & replace for
\begin_inset Quotes eld
\end_inset
850
\begin_inset Quotes erd
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
The published fRMA normalization vectors for the hgu133plus2 platform were
generated from a set of about 850 samples chosen from a wide range of tissues,
which the authors determined was sufficient to generate a robust set of
normalization vectors that could be applied across all tissues
\begin_inset CommandInset citation
LatexCommand cite
key "McCall2010"
literal "false"
\end_inset
.
Since we only had hthgu133pluspm for 2 tissues of interest, our needs were
more modest.
Even using only 130 samples in 26 batches of 5 samples each for kidney
biopsies, we were able to train a robust set of fRMA normalization vectors
that were not meaningfully affected by the random selection of 5 samples
from each batch.
As expected, the training process was just as robust for the blood samples
with 230 samples in 46 batches of 5 samples each.
Because these vectors were each generated using training samples from a
single tissue, they are not suitable for general use, unlike the vectors
provided with fRMA itself.
They are purpose-built for normalizing a specific type of sample on a specific
platform.
This is a mostly acceptable limitation in the context of developing a machine
learning classifier for diagnosing a disease based on samples of a specific
tissue.
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Talk about how these vectors can be used for any data from these tissues
on this platform even though they were custom made for this data set.
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
How to bring up that these custom vectors were used in another project by
someone else that was never published?
\end_layout
\end_inset
\end_layout
\begin_layout Subsection
Methylation array data can be successfully analyzed using existing techniques,
but machine learning poses additional challenges
\end_layout
\begin_layout Standard
Both analysis strategies B and C both yield a reasonable analysis, with
a mean-variance trend that matches the expected behavior for the non-linear
M-value transformation (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:meanvar-sva-aw"
plural "false"
caps "false"
noprefix "false"
\end_inset
) and well-behaved p-value distributions (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:meth-p-value-histograms"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
These two analyses also yield similar numbers of significant probes (Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:methyl-num-signif"
plural "false"
caps "false"
noprefix "false"
\end_inset
) and similar estimates of the number of differentially methylated probes
(Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:methyl-est-nonnull"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
The main difference between these two analyses is the method used to account
for the mean-variance trend.
In analysis B, the trend is estimated and applied at the probe level: each
probe's estimated variance is squeezed toward the trend using an empirical
Bayes procedure (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:meanvar-sva-aw"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
In analysis C, the trend is still estimated at the probe level, but instead
of estimating a single variance value shared across all observations for
a given probe, the voom method computes an initial estiamte of the variance
for each observation individually based on where its model-fitted M-value
falls on the trend line and then assigns inverse-variance weights to model
the difference in variance between observations.
An overall variance is still estimated for each probe using the same empirical
Bayes method, but now the residual trend is flat (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:meanvar-sva-voomaw"
plural "false"
caps "false"
noprefix "false"
\end_inset
), indicating that the mean-variance trend is adequately modeled by scaling
the estimated variance for each observation using the weights computed
by voom.
\end_layout
\begin_layout Standard
The difference between the standard empirical Bayes trended variance modeling
(analysis B) and voom (analysis C) is analogous to the difference between
a t-test with equal variance and a t-test with unequal variance, except
that the unequal group variances used in the latter test are estimated
based on the mean-variance trend from all the probes rather than the data
for the specific probe being tested, thus stabilizing the group variance
estimates by sharing information between probes.
Allowing voom to model the variance using observation weights in this manner
allows the linear model fit to concentrate statistical power where it will
do the most good.
For example, if a particular probe's M-values are always at the extreme
of the M-value range (e.g.
less than -4) for ADNR samples, but the M-values for that probe in TX and
CAN samples are within the flat region of the mean-variance trend (between
-3 and +3), voom is able to down-weight the contribution of the high-variance
M-values from the ADNR samples in order to gain more statistical power
while testing for differential methylation between TX and CAN.
In contrast, modeling the mean-variance trend only at the probe level would
combine the high-variance ADNR samples and lower-variance samples from
other conditions and estimate an intermediate variance for this probe.
In practice, analysis B shows that this approach is adequate, but the voom
approach in analysis C is at least as good on all model fit criteria and
yields a larger estimate for the number of differentially methylated genes,
\emph on
and
\emph default
it matches up better with the theoretical
\end_layout
\begin_layout Standard
The significant association of diebetes diagnosis with sample quality is
interesting.
The samples with Type 2 diabetes tended to have more variation, averaged
across all probes, than those with Type 1 diabetes.
This is consistent with the consensus that type 2 disbetes and the associated
metabolic syndrome represent a broad dysregulation of the body's endocrine
signalling related to metabolism [citation needed].
This dysregulation could easily manifest as a greater degree of variation
in the DNA methylation patterns of affected tissues.
In contrast, Type 1 disbetes has a more specific cause and effect, so a
less variable methylation signature is expected.
\end_layout
\begin_layout Standard
This preliminary anlaysis suggests that some degree of differential methylation
exists between TX and each of the three types of transplant disfunction
studied.
Hence, it may be feasible to train a classifier to diagnose transplant
disfunction from DNA methylation array data.
However, the major importance of both SVA and sample quality weighting
for proper modeling of this data poses significant challenges for any attempt
at a machine learning on data of similar quality.
While these are easily used in a modeling context with full sample information,
neither of these methods is directly applicable in a machine learning context,
where the diagnosis is not known ahead of time.
If a machine learning approach for methylation-based diagnosis is to be
pursued, it will either require machine-learning-friendly methods to address
the same systematic trends in the data that SVA and sample quality weighting
address, or it will require higher quality data with substantially less
systematic perturbation of the data.
\end_layout
\begin_layout Chapter
Globin-blocking for more effective blood RNA-seq analysis in primate animal
model
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Choose between above and the paper title: Optimizing yield of deep RNA sequencin
g for gene expression profiling by globin reduction of peripheral blood
samples from cynomolgus monkeys (Macaca fascicularis).
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Chapter author list: https://tex.stackexchange.com/questions/156862/displaying-aut
hor-for-each-chapter-in-book Every chapter gets an author list, which may
or may not be part of a citation to a published/preprinted paper.
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Preprint then cite the paper
\end_layout
\end_inset
\end_layout
\begin_layout Section*
Abstract
\end_layout
\begin_layout Paragraph
Background
\end_layout
\begin_layout Standard
Primate blood contains high concentrations of globin messenger RNA.
Globin reduction is a standard technique used to improve the expression
results obtained by DNA microarrays on RNA from blood samples.
However, with whole transcriptome RNA-sequencing (RNA-seq) quickly replacing
microarrays for many applications, the impact of globin reduction for RNA-seq
has not been previously studied.
Moreover, no off-the-shelf kits are available for globin reduction in nonhuman
primates.
\end_layout
\begin_layout Paragraph
Results
\end_layout
\begin_layout Standard
Here we report a protocol for RNA-seq in primate blood samples that uses
complimentary oligonucleotides to block reverse transcription of the alpha
and beta globin genes.
In test samples from cynomolgus monkeys (Macaca fascicularis), this globin
blocking protocol approximately doubles the yield of informative (non-globin)
reads by greatly reducing the fraction of globin reads, while also improving
the consistency in sequencing depth between samples.
The increased yield enables detection of about 2000 more genes, significantly
increases the correlation in measured gene expression levels between samples,
and increases the sensitivity of differential gene expression tests.
\end_layout
\begin_layout Paragraph
Conclusions
\end_layout
\begin_layout Standard
These results show that globin blocking significantly improves the cost-effectiv
eness of mRNA sequencing in primate blood samples by doubling the yield
of useful reads, allowing detection of more genes, and improving the precision
of gene expression measurements.
Based on these results, a globin reducing or blocking protocol is recommended
for all RNA-seq studies of primate blood samples.
\end_layout
\begin_layout Section
Approach
\end_layout
\begin_layout Standard
\begin_inset Note Note
status open
\begin_layout Plain Layout
Consider putting some of this in the Intro chapter
\end_layout
\begin_layout Itemize
Cynomolgus monkeys as a model organism
\end_layout
\begin_deeper
\begin_layout Itemize
Highly related to humans
\end_layout
\begin_layout Itemize
Small size and short life cycle - good research animal
\end_layout
\begin_layout Itemize
Genomics resources still in development
\end_layout
\end_deeper
\begin_layout Itemize
Inadequacy of existing blood RNA-seq protocols
\end_layout
\begin_deeper
\begin_layout Itemize
Existing protocols use a separate globin pulldown step, slowing down processing
\end_layout
\end_deeper
\end_inset
\end_layout
\begin_layout Standard
Increasingly, researchers are turning to high-throughput mRNA sequencing
technologies (RNA-seq) in preference to expression microarrays for analysis
of gene expression
\begin_inset CommandInset citation
LatexCommand cite
key "Mutz2012"
literal "false"
\end_inset
.
The advantages are even greater for study of model organisms with no well-estab
lished array platforms available, such as the cynomolgus monkey (Macaca
fascicularis).
High fractions of globin mRNA are naturally present in mammalian peripheral
blood samples (up to 70% of total mRNA) and these are known to interfere
with the results of array-based expression profiling
\begin_inset CommandInset citation
LatexCommand cite
key "Winn2010"
literal "false"
\end_inset
.
The importance of globin reduction for RNA-seq of blood has only been evaluated
for a deepSAGE protocol on human samples
\begin_inset CommandInset citation
LatexCommand cite
key "Mastrokolias2012"
literal "false"
\end_inset
.
In the present report, we evaluated globin reduction using custom blocking
oligonucleotides for deep RNA-seq of peripheral blood samples from a nonhuman
primate, cynomolgus monkey, using the Illumina technology platform.
We demonstrate that globin reduction significantly improves the cost-effectiven
ess of RNA-seq in blood samples.
Thus, our protocol offers a significant advantage to any investigator planning
to use RNA-seq for gene expression profiling of nonhuman primate blood
samples.
Our method can be generally applied to any species by designing complementary
oligonucleotide blocking probes to the globin gene sequences of that species.
Indeed, any highly expressed but biologically uninformative transcripts
can also be blocked to further increase sequencing efficiency and value
\begin_inset CommandInset citation
LatexCommand cite
key "Arnaud2016"
literal "false"
\end_inset
.
\end_layout
\begin_layout Section
Methods
\end_layout
\begin_layout Subsection
Sample collection
\end_layout
\begin_layout Standard
All research reported here was done under IACUC-approved protocols at the
University of Miami and complied with all applicable federal and state
regulations and ethical principles for nonhuman primate research.
Blood draws occurred between 16 April 2012 and 18 June 2015.
The experimental system involved intrahepatic pancreatic islet transplantation
into Cynomolgus monkeys with induced diabetes mellitus with or without
concomitant infusion of mesenchymal stem cells.
Blood was collected at serial time points before and after transplantation
into PAXgene Blood RNA tubes (PreAnalytiX/Qiagen, Valencia, CA) at the
precise volume:volume ratio of 2.5 ml whole blood into 6.9 ml of PAX gene
additive.
\end_layout
\begin_layout Subsection
Globin Blocking
\end_layout
\begin_layout Standard
Four oligonucleotides were designed to hybridize to the 3’ end of the transcript
s for Cynomolgus HBA1, HBA2 and HBB, with two hybridization sites for HBB
and 2 sites for HBA (the chosen sites were identical in both HBA genes).
All oligos were purchased from Sigma and were entirely composed of 2’O-Me
bases with a C3 spacer positioned at the 3’ ends to prevent any polymerase
mediated primer extension.
\end_layout
\begin_layout Quote
HBA1/2 site 1: GCCCACUCAGACUUUAUUCAAAG-C3spacer
\end_layout
\begin_layout Quote
HBA1/2 site 2: GGUGCAAGGAGGGGAGGAG-C3spacer
\end_layout
\begin_layout Quote
HBB site 1: AAUGAAAAUAAAUGUUUUUUAUUAG-C3spacer
\end_layout
\begin_layout Quote
HBB site 2: CUCAAGGCCCUUCAUAAUAUCCC-C3spacer
\end_layout
\begin_layout Subsection
RNA-seq Library Preparation
\end_layout
\begin_layout Standard
Sequencing libraries were prepared with 200ng total RNA from each sample.
Polyadenylated mRNA was selected from 200 ng aliquots of cynomologus blood-deri
ved total RNA using Ambion Dynabeads Oligo(dT)25 beads (Invitrogen) following
manufacturer’s recommended protocol.
PolyA selected RNA was then combined with 8 pmol of HBA1/2 (site 1), 8
pmol of HBA1/2 (site 2), 12 pmol of HBB (site 1) and 12 pmol of HBB (site
2) oligonucleotides.
In addition, 20 pmol of RT primer containing a portion of the Illumina
adapter sequence (B-oligo-dTV: GAGTTCCTTGGCACCCGAGAATTCCATTTTTTTTTTTTTTTTTTTV)
and 4 µL of 5X First Strand buffer (250 mM Tris-HCl pH 8.3, 375 mM KCl,
15mM MgCl2) were added in a total volume of 15 µL.
The RNA was fragmented by heating this cocktail for 3 minutes at 95°C and
then placed on ice.
This was followed by the addition of 2 µL 0.1 M DTT, 1 µL RNaseOUT, 1 µL
10mM dNTPs 10% biotin-16 aminoallyl-2’- dUTP and 10% biotin-16 aminoallyl-2’-
dCTP (TriLink Biotech, San Diego, CA), 1 µL Superscript II (200U/ µL, Thermo-Fi
sher).
A second “unblocked” library was prepared in the same way for each sample
but replacing the blocking oligos with an equivalent volume of water.
The reaction was carried out at 25°C for 15 minutes and 42°C for 40 minutes,
followed by incubation at 75°C for 10 minutes to inactivate the reverse
transcriptase.
\end_layout
\begin_layout Standard
The cDNA/RNA hybrid molecules were purified using 1.8X Ampure XP beads (Agencourt
) following supplier’s recommended protocol.
The cDNA/RNA hybrid was eluted in 25 µL of 10 mM Tris-HCl pH 8.0, and then
bound to 25 µL of M280 Magnetic Streptavidin beads washed per recommended
protocol (Thermo-Fisher).
After 30 minutes of binding, beads were washed one time in 100 µL 0.1N NaOH
to denature and remove the bound RNA, followed by two 100 µL washes with
1X TE buffer.
\end_layout
\begin_layout Standard
Subsequent attachment of the 5-prime Illumina A adapter was performed by
on-bead random primer extension of the following sequence (A-N8 primer:
TTCAGAGTTCTACAGTCCGACGATCNNNNNNNN).
Briefly, beads were resuspended in a 20 µL reaction containing 5 µM A-N8
primer, 40mM Tris-HCl pH 7.5, 20mM MgCl2, 50mM NaCl, 0.325U/µL Sequenase
2.0 (Affymetrix, Santa Clara, CA), 0.0025U/µL inorganic pyrophosphatase (Affymetr
ix) and 300 µM each dNTP.
Reaction was incubated at 22°C for 30 minutes, then beads were washed 2
times with 1X TE buffer (200µL).
\end_layout
\begin_layout Standard
The magnetic streptavidin beads were resuspended in 34 µL nuclease-free
water and added directly to a PCR tube.
The two Illumina protocol-specified PCR primers were added at 0.53 µM (Illumina
TruSeq Universal Primer 1 and Illumina TruSeq barcoded PCR primer 2), along
with 40 µL 2X KAPA HiFi Hotstart ReadyMix (KAPA, Willmington MA) and thermocycl
ed as follows: starting with 98°C (2 min-hold); 15 cycles of 98°C, 20sec;
60°C, 30sec; 72°C, 30sec; and finished with a 72°C (2 min-hold).
\end_layout
\begin_layout Standard
PCR products were purified with 1X Ampure Beads following manufacturer’s
recommended protocol.
Libraries were then analyzed using the Agilent TapeStation and quantitation
of desired size range was performed by “smear analysis”.
Samples were pooled in equimolar batches of 16 samples.
Pooled libraries were size selected on 2% agarose gels (E-Gel EX Agarose
Gels; Thermo-Fisher).
Products were cut between 250 and 350 bp (corresponding to insert sizes
of 130 to 230 bps).
Finished library pools were then sequenced on the Illumina NextSeq500 instrumen
t with 75 base read lengths.
\end_layout
\begin_layout Subsection
Read alignment and counting
\end_layout
\begin_layout Standard
Reads were aligned to the cynomolgus genome using STAR
\begin_inset CommandInset citation
LatexCommand cite
key "Dobin2013,Wilson2013"
literal "false"
\end_inset
.
Counts of uniquely mapped reads were obtained for every gene in each sample
with the “featureCounts” function from the Rsubread package, using each
of the three possibilities for the “strandSpecific” option: sense, antisense,
and unstranded
\begin_inset CommandInset citation
LatexCommand cite
key "Liao2014"
literal "false"
\end_inset
.
A few artifacts in the cynomolgus genome annotation complicated read counting.
First, no ortholog is annotated for alpha globin in the cynomolgus genome,
presumably because the human genome has two alpha globin genes with nearly
identical sequences, making the orthology relationship ambiguous.
However, two loci in the cynomolgus genome are as “hemoglobin subunit alpha-lik
e” (LOC102136192 and LOC102136846).
LOC102136192 is annotated as a pseudogene while LOC102136846 is annotated
as protein-coding.
Our globin reduction protocol was designed to include blocking of these
two genes.
Indeed, these two genes have almost the same read counts in each library
as the properly-annotated HBB gene and much larger counts than any other
gene in the unblocked libraries, giving confidence that reads derived from
the real alpha globin are mapping to both genes.
Thus, reads from both of these loci were counted as alpha globin reads
in all further analyses.
The second artifact is a small, uncharacterized non-coding RNA gene (LOC1021365
91), which overlaps the HBA-like gene (LOC102136192) on the opposite strand.
If counting is not performed in stranded mode (or if a non-strand-specific
sequencing protocol is used), many reads mapping to the globin gene will
be discarded as ambiguous due to their overlap with this ncRNA gene, resulting
in significant undercounting of globin reads.
Therefore, stranded sense counts were used for all further analysis in
the present study to insure that we accurately accounted for globin transcript
reduction.
However, we note that stranded reads are not necessary for RNA-seq using
our protocol in standard practice.
\end_layout
\begin_layout Subsection
Normalization and Exploratory Data Analysis
\end_layout
\begin_layout Standard
Libraries were normalized by computing scaling factors using the edgeR package’s
Trimmed Mean of M-values method
\begin_inset CommandInset citation
LatexCommand cite
key "Robinson2010"
literal "false"
\end_inset
.
Log2 counts per million values (logCPM) were calculated using the cpm function
in edgeR for individual samples and aveLogCPM function for averages across
groups of samples, using those functions’ default prior count values to
avoid taking the logarithm of 0.
Genes were considered “present” if their average normalized logCPM values
across all libraries were at least -1.
Normalizing for gene length was unnecessary because the sequencing protocol
is 3’-biased and hence the expected read count for each gene is related
to the transcript’s copy number but not its length.
\end_layout
\begin_layout Standard
In order to assess the effect of blocking on reproducibility, Pearson and
Spearman correlation coefficients were computed between the logCPM values
for every pair of libraries within the globin-blocked (GB) and unblocked
(non-GB) groups, and edgeR's “estimateDisp” function was used to compute
negative binomial dispersions separately for the two groups
\begin_inset CommandInset citation
LatexCommand cite
key "Chen2014"
literal "false"
\end_inset
.
\end_layout
\begin_layout Subsection
Differential Expression Analysis
\end_layout
\begin_layout Standard
All tests for differential gene expression were performed using edgeR, by
first fitting a negative binomial generalized linear model to the counts
and normalization factors and then performing a quasi-likelihood F-test
with robust estimation of outlier gene dispersions
\begin_inset CommandInset citation
LatexCommand cite
key "Lund2012,Phipson2016"
literal "false"
\end_inset
.
To investigate the effects of globin blocking on each gene, an additive
model was fit to the full data with coefficients for globin blocking and
SampleID.
To test the effect of globin blocking on detection of differentially expressed
genes, the GB samples and non-GB samples were each analyzed independently
as follows: for each animal with both a pre-transplant and a post-transplant
time point in the data set, the pre-transplant sample and the earliest
post-transplant sample were selected, and all others were excluded, yielding
a pre-/post-transplant pair of samples for each animal (N=7 animals with
paired samples).
These samples were analyzed for pre-transplant vs.
post-transplant differential gene expression while controlling for inter-animal
variation using an additive model with coefficients for transplant and
animal ID.
In all analyses, p-values were adjusted using the Benjamini-Hochberg procedure
for FDR control
\begin_inset CommandInset citation
LatexCommand cite
key "Benjamini1995"
literal "false"
\end_inset
.
\end_layout
\begin_layout Standard
\begin_inset Note Note
status open
\begin_layout Itemize
New blood RNA-seq protocol to block reverse transcription of globin genes
\end_layout
\begin_layout Itemize
Blood RNA-seq time course after transplants with/without MSC infusion
\end_layout
\end_inset
\end_layout
\begin_layout Section
Results
\end_layout
\begin_layout Subsection
Globin blocking yields a larger and more consistent fraction of useful reads
\end_layout
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status open
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Percent of Total Reads
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Percent of Genic Reads
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GB
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Non-globin Reads
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Globin Reads
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All Genic Reads
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All Aligned Reads
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Non-globin Reads
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Globin Reads
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Yes
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50.4% ± 6.82
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3.48% ± 2.94
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53.9% ± 6.81
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89.7% ± 2.40
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93.5% ± 5.25
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6.49% ± 5.25
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No
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26.3% ± 8.95
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44.6% ± 16.6
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70.1% ± 9.38
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90.7% ± 5.16
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38.8% ± 17.1
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61.2% ± 17.1
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\begin_layout Plain Layout
\begin_inset Caption Standard
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\begin_inset Argument 1
status collapsed
\begin_layout Plain Layout
Fractions of reads mapping to genomic features in GB and non-GB samples.
\end_layout
\end_inset
\begin_inset CommandInset label
LatexCommand label
name "tab:Fractions-of-reads"
\end_inset
Fractions of reads mapping to genomic features in GB and non-GB samples.
\series default
All values are given as mean ± standard deviation.
\end_layout
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status open
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The objective of the present study was to validate a new protocol for deep
RNA-seq of whole blood drawn into PaxGene tubes from cynomolgus monkeys
undergoing islet transplantation, with particular focus on minimizing the
loss of useful sequencing space to uninformative globin reads.
The details of the analysis with respect to transplant outcomes and the
impact of mesenchymal stem cell treatment will be reported in a separate
manuscript (in preparation).
To focus on the efficacy of our globin blocking protocol, 37 blood samples,
16 from pre-transplant and 21 from post-transplant time points, were each
prepped once with and once without globin blocking oligos, and were then
sequenced on an Illumina NextSeq500 instrument.
The number of reads aligning to each gene in the cynomolgus genome was
counted.
Table 1 summarizes the distribution of read fractions among the GB and
non-GB libraries.
In the libraries with no globin blocking, globin reads made up an average
of 44.6% of total input reads, while reads assigned to all other genes made
up an average of 26.3%.
The remaining reads either aligned to intergenic regions (that include
long non-coding RNAs) or did not align with any annotated transcripts in
the current build of the cynomolgus genome.
In the GB libraries, globin reads made up only 3.48% and reads assigned
to all other genes increased to 50.4%.
Thus, globin blocking resulted in a 92.2% reduction in globin reads and
a 91.6% increase in yield of useful non-globin reads.
\end_layout
\begin_layout Standard
This reduction is not quite as efficient as the previous analysis showed
for human samples by DeepSAGE (<0.4% globin reads after globin reduction)
\begin_inset CommandInset citation
LatexCommand cite
key "Mastrokolias2012"
literal "false"
\end_inset
.
Nonetheless, this degree of globin reduction is sufficient to nearly double
the yield of useful reads.
Thus, globin blocking cuts the required sequencing effort (and costs) to
achieve a target coverage depth by almost 50%.
Consistent with this near doubling of yield, the average difference in
un-normalized logCPM across all genes between the GB libraries and non-GB
libraries is approximately 1 (mean = 1.01, median = 1.08), an overall 2-fold
increase.
Un-normalized values are used here because the TMM normalization correctly
identifies this 2-fold difference as biologically irrelevant and removes
it.
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/Globin Paper/figure1 - globin-fractions.pdf
lyxscale 50
width 75col%
\end_inset
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\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset Argument 1
status collapsed
\begin_layout Plain Layout
Fraction of genic reads in each sample aligned to non-globin genes, with
and without globin blocking (GB).
\end_layout
\end_inset
\begin_inset CommandInset label
LatexCommand label
name "fig:Fraction-of-genic-reads"
\end_inset
Fraction of genic reads in each sample aligned to non-globin genes, with
and without globin blocking (GB).
\series default
All reads in each sequencing library were aligned to the cyno genome, and
the number of reads uniquely aligning to each gene was counted.
For each sample, counts were summed separately for all globin genes and
for the remainder of the genes (non-globin genes), and the fraction of
genic reads aligned to non-globin genes was computed.
Each point represents an individual sample.
Gray + signs indicate the means for globin-blocked libraries and unblocked
libraries.
The overall distribution for each group is represented as a notched box
plots.
Points are randomly spread vertically to avoid excessive overlapping.
\end_layout
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
Another important aspect is that the standard deviations in Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:Fractions-of-reads"
plural "false"
caps "false"
noprefix "false"
\end_inset
are uniformly smaller in the GB samples than the non-GB ones, indicating
much greater consistency of yield.
This is best seen in the percentage of non-globin reads as a fraction of
total reads aligned to annotated genes (genic reads).
For the non-GB samples, this measure ranges from 10.9% to 80.9%, while for
the GB samples it ranges from 81.9% to 99.9% (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:Fraction-of-genic-reads"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
This means that for applications where it is critical that each sample
achieve a specified minimum coverage in order to provide useful information,
it would be necessary to budget up to 10 times the sequencing depth per
sample without globin blocking, even though the average yield improvement
for globin blocking is only 2-fold, because every sample has a chance of
being 90% globin and 10% useful reads.
Hence, the more consistent behavior of GB samples makes planning an experiment
easier and more efficient because it eliminates the need to over-sequence
every sample in order to guard against the worst case of a high-globin
fraction.
\end_layout
\begin_layout Subsection
Globin blocking lowers the noise floor and allows detection of about 2000
more low-expression genes
\end_layout
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filename graphics/Globin Paper/figure2 - aveLogCPM-colored.pdf
lyxscale 50
height 60theight%
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\begin_layout Plain Layout
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\begin_layout Plain Layout
Distributions of average group gene abundances when normalized separately
or together.
\end_layout
\end_inset
\begin_inset CommandInset label
LatexCommand label
name "fig:logcpm-dists"
\end_inset
Distributions of average group gene abundances when normalized separately
or together.
\series default
All reads in each sequencing library were aligned to the cyno genome, and
the number of reads uniquely aligning to each gene was counted.
Genes with zero counts in all libraries were discarded.
Libraries were normalized using the TMM method.
Libraries were split into globin-blocked (GB) and non-GB groups and the
average abundance for each gene in both groups, measured in log2 counts
per million reads counted, was computed using the aveLogCPM function.
The distribution of average gene logCPM values was plotted for both groups
using a kernel density plot to approximate a continuous distribution.
The logCPM GB distributions are marked in red, non-GB in blue.
The black vertical line denotes the chosen detection threshold of -1.
Top panel: Libraries were split into GB and non-GB groups first and normalized
separately.
Bottom panel: Libraries were all normalized together first and then split
into groups.
\end_layout
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\end_layout
\end_inset
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\begin_layout Standard
Since globin blocking yields more usable sequencing depth, it should also
allow detection of more genes at any given threshold.
When we looked at the distribution of average normalized logCPM values
across all libraries for genes with at least one read assigned to them,
we observed the expected bimodal distribution, with a high-abundance "signal"
peak representing detected genes and a low-abundance "noise" peak representing
genes whose read count did not rise above the noise floor (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:logcpm-dists"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
Consistent with the 2-fold increase in raw counts assigned to non-globin
genes, the signal peak for GB samples is shifted to the right relative
to the non-GB signal peak.
When all the samples are normalized together, this difference is normalized
out, lining up the signal peaks, and this reveals that, as expected, the
noise floor for the GB samples is about 2-fold lower.
This greater separation between signal and noise peaks in the GB samples
means that low-expression genes should be more easily detected and more
precisely quantified than in the non-GB samples.
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/Globin Paper/figure3 - detection.pdf
lyxscale 50
width 70col%
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset Argument 1
status collapsed
\begin_layout Plain Layout
Gene detections as a function of abundance thresholds in globin-blocked
(GB) and non-GB samples.
\end_layout
\end_inset
\begin_inset CommandInset label
LatexCommand label
name "fig:Gene-detections"
\end_inset
Gene detections as a function of abundance thresholds in globin-blocked
(GB) and non-GB samples.
\series default
Average abundance (logCPM,
\begin_inset Formula $\log_{2}$
\end_inset
counts per million reads counted) was computed by separate group normalization
as described in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:logcpm-dists"
plural "false"
caps "false"
noprefix "false"
\end_inset
for both the GB and non-GB groups, as well as for all samples considered
as one large group.
For each every integer threshold from -2 to 3, the number of genes detected
at or above that logCPM threshold was plotted for each group.
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\end_layout
\end_inset
\end_layout
\begin_layout Standard
Based on these distributions, we selected a detection threshold of -1, which
is approximately the leftmost edge of the trough between the signal and
noise peaks.
This represents the most liberal possible detection threshold that doesn't
call substantial numbers of noise genes as detected.
Among the full dataset, 13429 genes were detected at this threshold, and
22276 were not.
When considering the GB libraries and non-GB libraries separately and re-comput
ing normalization factors independently within each group, 14535 genes were
detected in the GB libraries while only 12460 were detected in the non-GB
libraries.
Thus, GB allowed the detection of 2000 extra genes that were buried under
the noise floor without GB.
This pattern of at least 2000 additional genes detected with GB was also
consistent across a wide range of possible detection thresholds, from -2
to 3 (see Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:Gene-detections"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
\end_layout
\begin_layout Subsection
Globin blocking does not add significant additional noise or decrease sample
quality
\end_layout
\begin_layout Standard
One potential worry is that the globin blocking protocol could perturb the
levels of non-globin genes.
There are two kinds of possible perturbations: systematic and random.
The former is not a major concern for detection of differential expression,
since a 2-fold change in every sample has no effect on the relative fold
change between samples.
In contrast, random perturbations would increase the noise and obscure
the signal in the dataset, reducing the capacity to detect differential
expression.
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/Globin Paper/figure4 - maplot-colored.pdf
lyxscale 50
width 60col%
groupId colwidth
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset Argument 1
status collapsed
\begin_layout Plain Layout
MA plot showing effects of globin blocking on each gene's abundance.
\end_layout
\end_inset
\begin_inset CommandInset label
LatexCommand label
name "fig:MA-plot"
\end_inset
\series bold
MA plot showing effects of globin blocking on each gene's abundance.
\series default
All libraries were normalized together as described in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:logcpm-dists"
plural "false"
caps "false"
noprefix "false"
\end_inset
, and genes with an average logCPM below -1 were filtered out.
Each remaining gene was tested for differential abundance with respect
to globin blocking (GB) using edgeR’s quasi-likelihod F-test, fitting a
negative binomial generalized linear model to table of read counts in each
library.
For each gene, edgeR reported average abundance (logCPM),
\begin_inset Formula $\log_{2}$
\end_inset
fold change (logFC), p-value, and Benjamini-Hochberg adjusted false discovery
rate (FDR).
Each gene's logFC was plotted against its logCPM, colored by FDR.
Red points are significant at ≤10% FDR, and blue are not significant at
that threshold.
The alpha and beta globin genes targeted for blocking are marked with large
triangles, while all other genes are represented as small points.
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Standardize on
\begin_inset Quotes eld
\end_inset
log2
\begin_inset Quotes erd
\end_inset
notation
\end_layout
\end_inset
\end_layout
\begin_layout Standard
The data do indeed show small systematic perturbations in gene levels (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:MA-plot"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
Other than the 3 designated alpha and beta globin genes, two other genes
stand out as having especially large negative log fold changes: HBD and
LOC1021365.
HBD, delta globin, is most likely targeted by the blocking oligos due to
high sequence homology with the other globin genes.
LOC1021365 is the aforementioned ncRNA that is reverse-complementary to
one of the alpha-like genes and that would be expected to be removed during
the globin blocking step.
All other genes appear in a cluster centered vertically at 0, and the vast
majority of genes in this cluster show an absolute log2(FC) of 0.5 or less.
Nevertheless, many of these small perturbations are still statistically
significant, indicating that the globin blocking oligos likely cause very
small but non-zero systematic perturbations in measured gene expression
levels.
\end_layout
\begin_layout Standard
\begin_inset Float figure
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Graphics
filename graphics/Globin Paper/figure5 - corrplot.pdf
lyxscale 50
width 70col%
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset Argument 1
status collapsed
\begin_layout Plain Layout
Comparison of inter-sample gene abundance correlations with and without
globin blocking.
\end_layout
\end_inset
\begin_inset CommandInset label
LatexCommand label
name "fig:gene-abundance-correlations"
\end_inset
Comparison of inter-sample gene abundance correlations with and without
globin blocking (GB).
\series default
All libraries were normalized together as described in Figure 2, and genes
with an average abundance (logCPM, log2 counts per million reads counted)
less than -1 were filtered out.
Each gene’s logCPM was computed in each library using the edgeR cpm function.
For each pair of biological samples, the Pearson correlation between those
samples' GB libraries was plotted against the correlation between the same
samples’ non-GB libraries.
Each point represents an unique pair of samples.
The solid gray line shows a quantile-quantile plot of distribution of GB
correlations vs.
that of non-GB correlations.
The thin dashed line is the identity line, provided for reference.
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\end_layout
\end_inset
\end_layout
\begin_layout Standard
To evaluate the possibility of globin blocking causing random perturbations
and reducing sample quality, we computed the Pearson correlation between
logCPM values for every pair of samples with and without GB and plotted
them against each other (Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:gene-abundance-correlations"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
The plot indicated that the GB libraries have higher sample-to-sample correlati
ons than the non-GB libraries.
Parametric and nonparametric tests for differences between the correlations
with and without GB both confirmed that this difference was highly significant
(2-sided paired t-test: t = 37.2, df = 665, P ≪ 2.2e-16; 2-sided Wilcoxon
sign-rank test: V = 2195, P ≪ 2.2e-16).
Performing the same tests on the Spearman correlations gave the same conclusion
(t-test: t = 26.8, df = 665, P ≪ 2.2e-16; sign-rank test: V = 8781, P ≪ 2.2e-16).
The edgeR package was used to compute the overall biological coefficient
of variation (BCV) for GB and non-GB libraries, and found that globin blocking
resulted in a negligible increase in the BCV (0.417 with GB vs.
0.400 without).
The near equality of the BCVs for both sets indicates that the higher correlati
ons in the GB libraries are most likely a result of the increased yield
of useful reads, which reduces the contribution of Poisson counting uncertainty
to the overall variance of the logCPM values
\begin_inset CommandInset citation
LatexCommand cite
key "McCarthy2012"
literal "false"
\end_inset
.
This improves the precision of expression measurements and more than offsets
the negligible increase in BCV.
\end_layout
\begin_layout Subsection
More differentially expressed genes are detected with globin blocking
\end_layout
\begin_layout Standard
\begin_inset Float table
wide false
sideways false
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
\series bold
No Globin Blocking
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
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\end_layout
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|
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\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
\series bold
Up
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
\series bold
NS
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
\series bold
Down
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
\series bold
Globin-Blocking
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Plain Layout
\series bold
Up
\end_layout
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|
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231
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515
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2
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\series bold
NS
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|
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160
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11235
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|
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136
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\series bold
Down
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|
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0
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548
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|
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127
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|
\end_inset
\end_layout
\begin_layout Plain Layout
\begin_inset Caption Standard
\begin_layout Plain Layout
\series bold
\begin_inset Argument 1
status open
\begin_layout Plain Layout
Comparison of significantly differentially expressed genes with and without
globin blocking.
\end_layout
\end_inset
\begin_inset CommandInset label
LatexCommand label
name "tab:Comparison-of-significant"
\end_inset
Comparison of significantly differentially expressed genes with and without
globin blocking.
\series default
Up, Down: Genes significantly up/down-regulated in post-transplant samples
relative to pre-transplant samples, with a false discovery rate of 10%
or less.
NS: Non-significant genes (false discovery rate greater than 10%).
\end_layout
\end_inset
\end_layout
\begin_layout Plain Layout
\end_layout
\end_inset
\end_layout
\begin_layout Standard
To compare performance on differential gene expression tests, we took subsets
of both the GB and non-GB libraries with exactly one pre-transplant and
one post-transplant sample for each animal that had paired samples available
for analysis (N=7 animals, N=14 samples in each subset).
The same test for pre- vs.
post-transplant differential gene expression was performed on the same
7 pairs of samples from GB libraries and non-GB libraries, in each case
using an FDR of 10% as the threshold of significance.
Out of 12954 genes that passed the detection threshold in both subsets,
358 were called significantly differentially expressed in the same direction
in both sets; 1063 were differentially expressed in the GB set only; 296
were differentially expressed in the non-GB set only; 2 genes were called
significantly up in the GB set but significantly down in the non-GB set;
and the remaining 11235 were not called differentially expressed in either
set.
These data are summarized in Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:Comparison-of-significant"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
The differences in BCV calculated by EdgeR for these subsets of samples
were negligible (BCV = 0.302 for GB and 0.297 for non-GB).
\end_layout
\begin_layout Standard
The key point is that the GB data results in substantially more differentially
expressed calls than the non-GB data.
Since there is no gold standard for this dataset, it is impossible to be
certain whether this is due to under-calling of differential expression
in the non-GB samples or over-calling in the GB samples.
However, given that both datasets are derived from the same biological
samples and have nearly equal BCVs, it is more likely that the larger number
of DE calls in the GB samples are genuine detections that were enabled
by the higher sequencing depth and measurement precision of the GB samples.
Note that the same set of genes was considered in both subsets, so the
larger number of differentially expressed gene calls in the GB data set
reflects a greater sensitivity to detect significant differential gene
expression and not simply the larger total number of detected genes in
GB samples described earlier.
\end_layout
\begin_layout Section
Discussion
\end_layout
\begin_layout Standard
The original experience with whole blood gene expression profiling on DNA
microarrays demonstrated that the high concentration of globin transcripts
reduced the sensitivity to detect genes with relatively low expression
levels, in effect, significantly reducing the sensitivity.
To address this limitation, commercial protocols for globin reduction were
developed based on strategies to block globin transcript amplification
during labeling or physically removing globin transcripts by affinity bead
methods
\begin_inset CommandInset citation
LatexCommand cite
key "Winn2010"
literal "false"
\end_inset
.
More recently, using the latest generation of labeling protocols and arrays,
it was determined that globin reduction was no longer necessary to obtain
sufficient sensitivity to detect differential transcript expression
\begin_inset CommandInset citation
LatexCommand cite
key "NuGEN2010"
literal "false"
\end_inset
.
However, we are not aware of any publications using these currently available
protocols the with latest generation of microarrays that actually compare
the detection sensitivity with and without globin reduction.
However, in practice this has now been adopted generally primarily driven
by concerns for cost control.
The main objective of our work was to directly test the impact of globin
gene transcripts and a new globin blocking protocol for application to
the newest generation of differential gene expression profiling determined
using next generation sequencing.
\end_layout
\begin_layout Standard
The challenge of doing global gene expression profiling in cynomolgus monkeys
is that the current available arrays were never designed to comprehensively
cover this genome and have not been updated since the first assemblies
of the cynomolgus genome were published.
Therefore, we determined that the best strategy for peripheral blood profiling
was to do deep RNA-seq and inform the workflow using the latest available
genome assembly and annotation
\begin_inset CommandInset citation
LatexCommand cite
key "Wilson2013"
literal "false"
\end_inset
.
However, it was not immediately clear whether globin reduction was necessary
for RNA-seq or how much improvement in efficiency or sensitivity to detect
differential gene expression would be achieved for the added cost and work.
\end_layout
\begin_layout Standard
We only found one report that demonstrated that globin reduction significantly
improved the effective read yields for sequencing of human peripheral blood
cell RNA using a DeepSAGE protocol
\begin_inset CommandInset citation
LatexCommand cite
key "Mastrokolias2012"
literal "false"
\end_inset
.
The approach to DeepSAGE involves two different restriction enzymes that
purify and then tag small fragments of transcripts at specific locations
and thus, significantly reduces the complexity of the transcriptome.
Therefore, we could not determine how DeepSAGE results would translate
to the common strategy in the field for assaying the entire transcript
population by whole-transcriptome 3’-end RNA-seq.
Furthermore, if globin reduction is necessary, we also needed a globin
reduction method specific to cynomolgus globin sequences that would work
an organism for which no kit is available off the shelf.
\end_layout
\begin_layout Standard
As mentioned above, the addition of globin blocking oligos has a very small
impact on measured expression levels of gene expression.
However, this is a non-issue for the purposes of differential expression
testing, since a systematic change in a gene in all samples does not affect
relative expression levels between samples.
However, we must acknowledge that simple comparisons of gene expression
data obtained by GB and non-GB protocols are not possible without additional
normalization.
\end_layout
\begin_layout Standard
More importantly, globin blocking not only nearly doubles the yield of usable
reads, it also increases inter-sample correlation and sensitivity to detect
differential gene expression relative to the same set of samples profiled
without blocking.
In addition, globin blocking does not add a significant amount of random
noise to the data.
Globin blocking thus represents a cost-effective way to squeeze more data
and statistical power out of the same blood samples and the same amount
of sequencing.
In conclusion, globin reduction greatly increases the yield of useful RNA-seq
reads mapping to the rest of the genome, with minimal perturbations in
the relative levels of non-globin genes.
Based on these results, globin transcript reduction using sequence-specific,
complementary blocking oligonucleotides is recommended for all deep RNA-seq
of cynomolgus and other nonhuman primate blood samples.
\end_layout
\begin_layout Chapter
Future Directions
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Consider putting each chapter's future directions with that chapter instead
of in a separate one.
Check instructions to see if this is allowed/appropriate.
\end_layout
\end_inset
\end_layout
\begin_layout Section*
Ch2
\end_layout
\begin_layout Subsection*
Improving on the effective promoter radius
\end_layout
\begin_layout Standard
The analysis of RNA-seq and ChIP-seq in CD4 T-cells in Chapter 2 is in many
ways a preliminary study that suggests a multitude of new avenues of investigat
ion.
This study introduced the concept of an
\begin_inset Quotes eld
\end_inset
effective promoter radius
\begin_inset Quotes erd
\end_inset
specific to each histone mark based on distince from the TSS within which
an excess of peaks was called for that mark.
This concept was then used to guide further analyses throughout the study.
However, while the effective promoter radius was useful in those analyses,
it is both limited in theory and shown in practice to be a possible oversimplif
ication.
First, the effective promoter radii used in this study were chosen based
on manual inspection of the TSS-to-peak distance distributions in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:near-promoter-peak-enrich"
plural "false"
caps "false"
noprefix "false"
\end_inset
, selecting round numbers of analyst convenience (Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:effective-promoter-radius"
plural "false"
caps "false"
noprefix "false"
\end_inset
).
It would be better to define an algorithm that selects a more precise radius
based on the features of the graph.
One possible way to do this would be to randomly rearrange the called peaks
throughout the genome many (while preserving the distribution of peak widths)
and re-generate the same plot as in Figure
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:near-promoter-peak-enrich"
plural "false"
caps "false"
noprefix "false"
\end_inset
.
This would yield a better
\begin_inset Quotes eld
\end_inset
background
\begin_inset Quotes erd
\end_inset
distribution that demonstrates the degree of near-TSS enrichment that would
be expected by random chance.
The effective promoter radius could be defined as the point where the true
distribution diverges from the randomized background distribution.
\end_layout
\begin_layout Standard
Furthermore, the above definition of effective promoter radius has the significa
nt limitation of being based on the peak calling method.
It is thus very sensitive to the choice of peak caller and significance
threshold for calling peaks, as well as the degree of saturation in the
sequencing.
Calling peaks from ChIP-seq samples with insufficient coverage depth, with
the wrong peak caller, or with a different significance threshold could
give a drastically different number of called peaks, and hence a drastically
different distribution of peak-to-TSS distances.
To address this, it is desirable to develop a better method of determining
the effective promoter radius that relies only on the distribution of read
coverage around the TSS, independent of the peak calling.
Furthermore, as demonstrated by the upstream-downstream asymmetries observed
in Figures
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K4me2-neighborhood"
plural "false"
caps "false"
noprefix "false"
\end_inset
,
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K4me3-neighborhood"
plural "false"
caps "false"
noprefix "false"
\end_inset
, and
\begin_inset CommandInset ref
LatexCommand ref
reference "fig:H3K27me3-neighborhood"
plural "false"
caps "false"
noprefix "false"
\end_inset
, this definition should determine a different radius for the upstream and
downstream directions.
At this point, it may be better to call these values
\begin_inset Quotes eld
\end_inset
effective promoter extents
\begin_inset Quotes erd
\end_inset
rather than radii, since a radius implies a symmetry about the TSS that
is not supported by the data.
\end_layout
\begin_layout Itemize
Functional validation of effective promoter radius
\end_layout
\begin_deeper
\begin_layout Itemize
Correlation with expression as a function of distance from TSS?
\end_layout
\end_deeper
\begin_layout Subsection*
Post-activation convergence of naive & memory cells
\end_layout
\begin_layout Itemize
N-to-M convergence deserves further study of some kind
\end_layout
\begin_deeper
\begin_layout Itemize
maybe serial activation & rest cycles for naive and memory, showing a cyclical
pattern returning to the same state again and again after the first activation
\end_layout
\end_deeper
\begin_layout Itemize
Promoter positional coverage: follow up on hints of interesting patterns
\end_layout
\begin_deeper
\begin_layout Itemize
Also find better normalizations: maybe borrow from MACS/SICER background
correction methods?
\end_layout
\begin_layout Itemize
For H3K4, define polar coordinates based on PC1 & 2: R = peak size, Theta
= peak position.
Then correlate with expression.
\end_layout
\begin_layout Itemize
Current analysis only at Day 0.
Need to study across time points.
\end_layout
\end_deeper
\begin_layout Itemize
Study other epigenetic marks in more contexts, including looking for similar
convergence patterns.
Use MOFA to identify coordinated patterns.
\end_layout
\begin_deeper
\begin_layout Itemize
DNA methylation, histone marks, chromatin accessibility & conformation in
CD4 T-cells
\end_layout
\begin_layout Itemize
Also look at other types of lymphocytes: CD8 T-cells, B-cells, NK cells
\end_layout
\end_deeper
\begin_layout Itemize
High correlation between H3K4me2 and H3K4me3 is interesting because they
are mutually exclusive marks on any given H3 subunit.
Investigate causes: do the same histones have one of each, or do different
alleles/cells have all of one or the other? Or something else? Would need
to do something like allele-specific single-cell ChIP-seq.
\end_layout
\begin_layout Section*
Ch3
\end_layout
\begin_layout Itemize
Use CV or bootstrap to better evaluate classifiers
\end_layout
\begin_layout Itemize
fRMAtools could be adapted to not require equal-sized groups
\end_layout
\begin_layout Section*
Ch4
\end_layout
\begin_layout Itemize
Look in discussion, I think there's some stuff there already
\end_layout
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Plain Layout
% Call it "References" instead of "Bibliography"
\end_layout
\begin_layout Plain Layout
\backslash
renewcommand{
\backslash
bibname}{References}
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Check bib entry formatting & sort order
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Flex TODO Note (inline)
status open
\begin_layout Plain Layout
Check in-text citation format.
Probably don't just want [1], [2], etc.
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset CommandInset bibtex
LatexCommand bibtex
btprint "btPrintCited"
bibfiles "code-refs,refs-PROCESSED"
options "bibtotoc,unsrt"
\end_inset
\end_layout
\end_body
\end_document