In this guide, we illustrate here two common downstream analysis workflows for ChIP-seq experiments, one is for comparing and combining peaks for single transcription factor (TF) with replicates, and the other is for comparing binding profiles from ChIP-seq experiments with multiple TFs.
This workflow shows how to convert BED/GFF files to GRanges, find overlapping peaks between two peak sets, and visualize the number of common and specific peaks with Venn diagram.
The input for ChIPpeakAnno1 is a list of called peaks identified from ChIP-seq experiments or any other experiments that yield a set of chromosome coordinates. Although peaks are represented as GRanges in ChIPpeakAnno, other common peak formats such as BED, GFF and MACS can be converted to GRanges easily using a conversion toGRanges
method. For detailed information on how to use this method, please type ?toGRanges
.
The following examples illustrate the usage of this method to convert BED and GFF file to GRanges, add metadata from orignal peaks to the overlap GRanges using function addMetadata
, and visualize the overlapping using function makeVennDiagram
.
library(ChIPpeakAnno)
bed <- system.file("extdata", "MACS_output.bed", package="ChIPpeakAnno")
gr1 <- toGRanges(bed, format="BED", header=FALSE)
## one can also try import from rtracklayer
gff <- system.file("extdata", "GFF_peaks.gff", package="ChIPpeakAnno")
gr2 <- toGRanges(gff, format="GFF", header=FALSE, skip=3)
## must keep the class exactly same as gr1$score, i.e., numeric.
gr2$score <- as.numeric(gr2$score)
ol <- findOverlapsOfPeaks(gr1, gr2)
## add metadata (mean of score) to the overlapping peaks
ol <- addMetadata(ol, colNames="score", FUN=mean)
ol$peaklist[["gr1///gr2"]][1:2]
## GRanges object with 2 ranges and 2 metadata columns:
## seqnames ranges strand | peakNames
## <Rle> <IRanges> <Rle> | <CharacterList>
## [1] chr1 713791-715578 * | gr1__MACS_peak_13,gr2__001,gr2__002
## [2] chr1 724851-727191 * | gr2__003,gr1__MACS_peak_14
## score
## <numeric>
## [1] 850.203
## [2] 29.170
## -------
## seqinfo: 1 sequence from an unspecified genome; no seqlengths
makeVennDiagram(ol, fill=c("#009E73", "#F0E442"), # circle fill color
col=c("#D55E00", "#0072B2"), #circle border color
cat.col=c("#D55E00", "#0072B2")) # label color, keep same as circle border color
## $p.value
## gr1 gr2 pval
## [1,] 1 1 0
##
## $vennCounts
## gr1 gr2 Counts count.gr1 count.gr2
## [1,] 0 0 0 0 0
## [2,] 0 1 61 0 61
## [3,] 1 0 62 62 0
## [4,] 1 1 166 168 169
## attr(,"class")
## [1] "VennCounts"
Annotation data should be an object of GRanges. Same as import peaks, we use the method toGRanges
, which can return an object of GRanges, to represent the annotation data. An annotation data be constructed from not only BED, GFF or user defined readable text files, but also EnsDb or TxDb object, by calling the toGRanges
method. Please type ?toGRanges
for more information.
Note that the version of the annotation data must match with the genome used for mapping because the coordinates may differ for different genome releases. For example, if you are using Mus_musculus.v103 for mapping, you’d best also use EnsDb.Mmusculus.v103 for annotation. For more information about how to prepare the annotation data, please refer ?getAnnotation.
library(EnsDb.Hsapiens.v75) ##(hg19)
## create annotation file from EnsDb or TxDb
annoData <- toGRanges(EnsDb.Hsapiens.v75, feature="gene")
annoData[1:2]
## GRanges object with 2 ranges and 1 metadata column:
## seqnames ranges strand | gene_name
## <Rle> <IRanges> <Rle> | <character>
## ENSG00000223972 chr1 11869-14412 + | DDX11L1
## ENSG00000227232 chr1 14363-29806 - | WASH7P
## -------
## seqinfo: 273 sequences (1 circular) from 2 genomes (hg19, GRCh37)
After finding the overlapping peaks, the distribution of the distance of overlapped peaks to the nearest feature such as the transcription start sites (TSS) can be plotted by binOverFeature
function. The sample code here plots the distribution of peaks around the TSS.
overlaps <- ol$peaklist[["gr1///gr2"]]
binOverFeature(overlaps, annotationData=annoData,
radius=5000, nbins=20, FUN=length, errFun=0,
xlab="distance from TSS (bp)", ylab="count",
main="Distribution of aggregated peak numbers around TSS")
In addition, genomicElementDistribution
can be used to summarize the distribution of peaks over different type of features such as exon, intron, enhancer, proximal promoter, 5’ UTR and 3’ UTR. This distribution can be summarized in peak centric or nucleotide centric view using the function genomicElementDistribution
. Please note that one peak might span multiple type of features, leading to the number of annotated features greater than the total number of input peaks. At the peak centric view, precedence will dictate the annotation order when peaks span multiple type of features.
## check the genomic element distribution of the duplicates
## the genomic element distribution will indicates the
## the correlation between duplicates.
library(TxDb.Hsapiens.UCSC.hg19.knownGene)
peaks <- GRangesList(rep1=gr1,
rep2=gr2)
genomicElementDistribution(peaks,
TxDb = TxDb.Hsapiens.UCSC.hg19.knownGene,
promoterRegion=c(upstream=2000, downstream=500),
geneDownstream=c(upstream=0, downstream=2000))
## check the genomic element distribution for the overlaps
## the genomic element distribution will indicates the
## the best methods for annotation.
## The percentages in the legend show the percentage of peaks in
## each category.
out <- genomicElementDistribution(overlaps,
TxDb = TxDb.Hsapiens.UCSC.hg19.knownGene,
promoterRegion=c(upstream=2000, downstream=500),
geneDownstream=c(upstream=0, downstream=2000),
promoterLevel=list(
# from 5' -> 3', fixed precedence 3' -> 5'
breaks = c(-2000, -1000, -500, 0, 500),
labels = c("upstream 1-2Kb", "upstream 0.5-1Kb",
"upstream <500b", "TSS - 500b"),
colors = c("#FFE5CC", "#FFCA99",
"#FFAD65", "#FF8E32")))
## check the genomic element distribution by upset plot.
## by function genomicElementUpSetR, no precedence will be considered.
library(UpSetR)
x <- genomicElementUpSetR(overlaps,
TxDb.Hsapiens.UCSC.hg19.knownGene)
upset(x$plotData, nsets=13, nintersects=NA)
Metagene plot may also provide information for annotation.
metagenePlot(peaks, TxDb.Hsapiens.UCSC.hg19.knownGene)
As shown from the distribution of aggregated peak numbers around TSS and the distribution of peaks in different of chromosome regions, most of the peaks locate around TSS. Therefore, it is reasonable to use annotatePeakInBatch
or annoPeaks
to annotate the peaks to the promoter regions of Hg19 genes. Promoters can be specified with bindingRegion. For the following example, promoter region is defined as upstream 2000 and downstream 500 from TSS (bindingRegion=c(-2000, 500)).
overlaps.anno <- annotatePeakInBatch(overlaps,
AnnotationData=annoData,
output="nearestBiDirectionalPromoters",
bindingRegion=c(-2000, 500))
library(org.Hs.eg.db)
overlaps.anno <- addGeneIDs(overlaps.anno,
"org.Hs.eg.db",
IDs2Add = "entrez_id")
head(overlaps.anno)
## GRanges object with 6 ranges and 11 metadata columns:
## seqnames ranges strand | peakNames
## <Rle> <IRanges> <Rle> | <CharacterList>
## X1 chr1 713791-715578 * | gr1__MACS_peak_13,gr2__001,gr2__002
## X1 chr1 713791-715578 * | gr1__MACS_peak_13,gr2__001,gr2__002
## X3 chr1 839467-840090 * | gr1__MACS_peak_16,gr2__004
## X4 chr1 856361-856999 * | gr1__MACS_peak_17,gr2__005
## X5 chr1 859315-860144 * | gr2__006,gr1__MACS_peak_18
## X10 chr1 901118-902861 * | gr2__012,gr1__MACS_peak_23
## score peak feature feature.ranges feature.strand
## <numeric> <character> <character> <IRanges> <Rle>
## X1 850.203 X1 ENSG00000228327 700237-714006 -
## X1 850.203 X1 ENSG00000237491 714150-745440 +
## X3 73.120 X3 ENSG00000272438 840214-851356 +
## X4 54.690 X4 ENSG00000223764 852245-856396 -
## X5 81.485 X5 ENSG00000187634 860260-879955 +
## X10 119.910 X10 ENSG00000187583 901877-911245 +
## distance insideFeature distanceToSite gene_name entrez_id
## <integer> <character> <integer> <character> <character>
## X1 0 overlapStart 0 RP11-206L10.2 <NA>
## X1 0 overlapStart 0 RP11-206L10.9 105378580
## X3 123 upstream 123 RP11-54O7.16 <NA>
## X4 0 overlapStart 0 RP11-54O7.3 100130417
## X5 115 upstream 115 SAMD11 148398
## X10 0 overlapStart 0 PLEKHN1 84069
## -------
## seqinfo: 1 sequence from an unspecified genome; no seqlengths
ol.anno.out <- unname(overlaps.anno)
ol.anno.out$peakNames <- NULL # remove the CharacterList to avoid error message.
write.csv(as.data.frame(ol.anno.out), "anno.csv")
The distribution of the common peaks around features can be visualized using a pie chart.
pie1(table(overlaps.anno$insideFeature))
The following example shows how to use getEnrichedGO
to obtain a list of enriched GO terms with annotated peaks. For pathway analysis, please use function getEnrichedPATH
with reactome or KEGG database. Please note that by default feature_id_type is set as “ensembl_gene_id”. If you are using TxDb as annotation data, please set it to “entrez_id”.
over <- getEnrichedGO(overlaps.anno, orgAnn="org.Hs.eg.db", condense=TRUE)
enrichmentPlot(over)
library(reactome.db)
path <- getEnrichedPATH(overlaps.anno, "org.Hs.eg.db", "reactome.db", maxP=.05)
enrichmentPlot(path)
Here is an example to get the sequences of the peaks plus 20 bp upstream and downstream for PCR validation or motif discovery.
library(BSgenome.Hsapiens.UCSC.hg19)
seq <- getAllPeakSequence(overlaps, upstream=20, downstream=20, genome=Hsapiens)
write2FASTA(seq, "test.fa")
Here is an example to get the Z-scores for short oligos3.
## summary of the short oligos
library(seqinr)
freqs <- oligoFrequency(Hsapiens$chr1, MarkovOrder=3)
os <- oligoSummary(seq, oligoLength=6, MarkovOrder=3,
quickMotif=FALSE, freqs=freqs)
## plot the results
zscore <- sort(os$zscore)
h <- hist(zscore, breaks=100, xlim=c(-50, 50), main="Histogram of Z-score")
text(zscore[length(zscore)], max(h$counts)/10,
labels=names(zscore[length(zscore)]), adj=1)
## We can also try simulation data
seq.sim.motif <- list(c("t", "g", "c", "a", "t", "g"),
c("g", "c", "a", "t", "g", "c"))
set.seed(1)
seq.sim <- sapply(sample(c(2, 1, 0), 1000, replace=TRUE, prob=c(0.07, 0.1, 0.83)),
function(x){
s <- sample(c("a", "c", "g", "t"),
sample(100:1000, 1), replace=TRUE)
if(x>0){
si <- sample.int(length(s), 1)
if(si>length(s)-6) si <- length(s)-6
s[si:(si+5)] <- seq.sim.motif[[x]]
}
paste(s, collapse="")
})
os <- oligoSummary(seq.sim, oligoLength=6, MarkovOrder=3,
quickMotif=TRUE)
zscore <- sort(os$zscore, decreasing=TRUE)
h <- hist(zscore, breaks=100, main="Histogram of Z-score")
text(zscore[1:2], rep(5, 2),
labels=names(zscore[1:2]), adj=0, srt=90)
## generate the motifs
library(motifStack)
pfms <- mapply(function(.ele, id)
new("pfm", mat=.ele, name=paste("SAMPLE motif", id)),
os$motifs, 1:length(os$motifs))
motifStack(pfms[[1]])
Bidirectional promoters are the DNA regions located between TSS of two adjacent genes that are transcribed on opposite directions and often co-regulated by this shared promoter region5. Here is an example to find peaks near bi-directional promoters.
bdp <- peaksNearBDP(overlaps, annoData, maxgap=5000)
c(bdp$percentPeaksWithBDP,
bdp$n.peaks,
bdp$n.peaksWithBDP)
## [1] 0.1084337 166.0000000 18.0000000
bdp$peaksWithBDP[1:2]
## GRangesList object of length 2:
## $`1`
## GRanges object with 2 ranges and 11 metadata columns:
## seqnames ranges strand | peakNames
## <Rle> <IRanges> <Rle> | <CharacterList>
## X1 chr1 713791-715578 * | gr1__MACS_peak_13,gr2__001,gr2__002
## X1 chr1 713791-715578 * | gr1__MACS_peak_13,gr2__001,gr2__002
## score bdp_idx peak feature feature.ranges
## <numeric> <integer> <character> <character> <IRanges>
## X1 850.203 1 X1 ENSG00000228327 700237-714006
## X1 850.203 1 X1 ENSG00000237491 714150-745440
## feature.strand distance insideFeature distanceToSite gene_name
## <Rle> <integer> <character> <integer> <character>
## X1 - 0 overlapStart 0 RP11-206L10.2
## X1 + 0 overlapStart 0 RP11-206L10.9
## -------
## seqinfo: 1 sequence from an unspecified genome; no seqlengths
##
## $`4`
## GRanges object with 2 ranges and 11 metadata columns:
## seqnames ranges strand | peakNames score
## <Rle> <IRanges> <Rle> | <CharacterList> <numeric>
## X4 chr1 856361-856999 * | gr1__MACS_peak_17,gr2__005 54.69
## X4 chr1 856361-856999 * | gr1__MACS_peak_17,gr2__005 54.69
## bdp_idx peak feature feature.ranges feature.strand
## <integer> <character> <character> <IRanges> <Rle>
## X4 4 X4 ENSG00000223764 852245-856396 -
## X4 4 X4 ENSG00000187634 860260-879955 +
## distance insideFeature distanceToSite gene_name
## <integer> <character> <integer> <character>
## X4 0 overlapStart 0 RP11-54O7.3
## X4 3260 upstream 3260 SAMD11
## -------
## seqinfo: 1 sequence from an unspecified genome; no seqlengths
There are several techniques available to determine the spatial organization of chromosomes at high resolution such as 3C, 5C and HiC6. These techniques make it possible to search peaks binding to the potential enhancer regions. Here is an example to find peaks binding to the potential enhancer regions.
DNA5C <- system.file("extdata",
"wgEncodeUmassDekker5CGm12878PkV2.bed.gz",
package="ChIPpeakAnno")
DNAinteractiveData <- toGRanges(gzfile(DNA5C))
findEnhancers(overlaps, annoData, DNAinteractiveData)
## GRanges object with 5 ranges and 14 metadata columns:
## seqnames ranges strand | peakNames
## <Rle> <IRanges> <Rle> | <CharacterList>
## X1 chr1 151591700-151591800 * | gr2__229,gr1__MACS_peak_229
## X1 chr1 151591700-151591800 * | gr2__229,gr1__MACS_peak_229
## X1 chr1 151591700-151591800 * | gr2__229,gr1__MACS_peak_229
## X1 chr1 151591700-151591800 * | gr2__229,gr1__MACS_peak_229
## X1 chr1 151630186-151630286 * | gr2__230,gr1__MACS_peak_230
## score feature feature.ranges feature.strand
## <numeric> <character> <IRanges> <Rle>
## X1 78.675 ENSG00000207606 151518272-151518367 +
## X1 78.675 ENSG00000143390 151313116-151319833 -
## X1 78.675 ENSG00000143376 151584541-151671567 +
## X1 78.675 ENSG00000143367 151512781-151556059 +
## X1 78.675 ENSG00000143393 151264273-151300191 -
## feature.shift.ranges feature.shift.strand distance insideFeature
## <IRanges> <Rle> <integer> <character>
## X1 151594534-151594629 + 2733 upstream
## X1 151595209-151601927 + 3408 upstream
## X1 151500588-151587615 - 4084 upstream
## X1 151595902-151639180 + 4101 upstream
## X1 151594247-151630165 - 20 upstream
## distanceToSite gene_name peak DNAinteractive.ranges
## <integer> <character> <character> <IRanges>
## X1 2733 MIR554 X1 151516086-151603110
## X1 3408 RFX5 X1 151309062-151603110
## X1 4084 SNX27 X1 151546428-151636526
## X1 4101 TUFT1 X1 151546428-151636526
## X1 20 PI4KB X1 151283079-151636526
## DNAinteractive.blocks
## <IRangesList>
## X1 1-19082,76263-87025
## X1 1-13633,283287-294049
## X1 1-6978,72324-90099
## X1 1-6978,72324-90099
## X1 1-5699,335673-353448
## -------
## seqinfo: 1 sequence from an unspecified genome; no seqlengths
Given two or more peak lists from different TFs, one may be interested in finding whether DNA binding profile of those TFs are correlated, and if correlated, what is the common binding pattern. The workflow here shows how to test the correlation of binding profiles of three TFs and how to discover the common binding pattern.
path <- system.file("extdata", package="ChIPpeakAnno")
files <- dir(path, "broadPeak")
data <- sapply(file.path(path, files), toGRanges, format="broadPeak")
names(data) <- gsub(".broadPeak", "", files)
When we test the association between two sets of data based on hypergeometric distribution, the number of all potential binding sites is required. The parameter totalTest in the function makeVennDiagram
indicates how many potential peaks in total will be used in the hypergeometric test. It should be larger than the largest number of peaks in the peak list. The smaller it is set, the more stringent the test is. The time used to calculate p-value does not depend on the value of the totalTest. For practical guidance on how to choose totalTest, please refer to the post. The following example makes an assumption that there are 3% of coding region plus promoter region. Because the sample data is only a subset of chromosome 2, we estimate that the total binding sites is 1/24 of possible binding region in the genome.
ol <- findOverlapsOfPeaks(data, connectedPeaks="keepAll")
averagePeakWidth <- mean(width(unlist(GRangesList(ol$peaklist))))
tot <- ceiling(3.3e+9 * .03 / averagePeakWidth / 24)
makeVennDiagram(ol, totalTest=tot, connectedPeaks="keepAll",
fill=c("#CC79A7", "#56B4E9", "#F0E442"), # circle fill color
col=c("#D55E00", "#0072B2", "#E69F00"), #circle border color
cat.col=c("#D55E00", "#0072B2", "#E69F00"))
## $p.value
## TAF Tead4 YY1 pval
## [1,] 0 1 1 1.000000e+00
## [2,] 1 0 1 2.904297e-258
## [3,] 1 1 0 8.970986e-04
##
## $vennCounts
## TAF Tead4 YY1 Counts count.TAF count.Tead4 count.YY1
## [1,] 0 0 0 849 0 0 0
## [2,] 0 0 1 621 0 0 621
## [3,] 0 1 0 2097 0 2097 0
## [4,] 0 1 1 309 0 310 319
## [5,] 1 0 0 59 59 0 0
## [6,] 1 0 1 166 172 0 170
## [7,] 1 1 0 8 8 8 0
## [8,] 1 1 1 476 545 537 521
## attr(,"class")
## [1] "VennCounts"
## see the difference if we set connectedPeaks to "keepFirstListConsistent"
## set connectedPeaks to keepFirstListConsistent will show consistent total
## number of peaks for the first peak list.
makeVennDiagram(ol, totalTest=tot, connectedPeaks="keepFirstListConsistent",
fill=c("#CC79A7", "#56B4E9", "#F0E442"),
col=c("#D55E00", "#0072B2", "#E69F00"),
cat.col=c("#D55E00", "#0072B2", "#E69F00"))
## $p.value
## TAF Tead4 YY1 pval
## [1,] 0 1 1 1.000000e+00
## [2,] 1 0 1 2.904297e-258
## [3,] 1 1 0 8.970986e-04
##
## $vennCounts
## TAF Tead4 YY1 Counts count.TAF count.Tead4 count.YY1
## [1,] 0 0 0 849 0 0 0
## [2,] 0 0 1 621 0 0 621
## [3,] 0 1 0 2097 0 2097 0
## [4,] 0 1 1 309 0 310 319
## [5,] 1 0 0 59 59 0 0
## [6,] 1 0 1 166 172 0 170
## [7,] 1 1 0 8 8 8 0
## [8,] 1 1 1 476 545 537 521
## attr(,"class")
## [1] "VennCounts"
The above hypergeometric test requires users to input an estimate of the total potential binding sites for a given TF. To circumvent this requirement, we implemented a permutation test called peakPermTest
. Before performing a permutation test, users need to generate random peaks using the distribution discovered from the input peaks for a given feature type (transcripts or exons), to make sure the binding positions relative to features, such as TSS and geneEnd, and the width of the random peaks follow the distribution of that of the input peaks.
Alternatively, a peak pool representing all potential binding sites can be created with associated binding probabilities for random peak sampling using preparePool
. Here is an example to build a peak pool for human genome using the transcription factor binding site clusters (V3) (see ?wgEncodeTfbsV3
) downloaded from ENCODE with the HOT spots (?HOT.spots
) removed. HOT spots are the genomic regions with high probability of being bound by many TFs in ChIP-seq experiments7. We suggest remove those HOT spots from the peak lists before performing permutation test to avoid the overestimation of the association between the two input peak lists. Users can also choose to remove ENCODE blacklist for a given species. The blacklists were constructed by identifying consistently problematic regions over independent cell lines and types of experiments for each species in the ENCODE and modENCODE datasets8. Please note that some of the blacklists may need to be converted to the correct genome assembly using liftover utility.
Following are the sample codes to do the permutation test using permTest
:
data(HOT.spots)
data(wgEncodeTfbsV3)
hotGR <- reduce(unlist(HOT.spots))
removeOl <- function(.ele){
ol <- findOverlaps(.ele, hotGR)
if(length(ol)>0) .ele <- .ele[-unique(queryHits(ol))]
.ele
}
TAF <- removeOl(data[["TAF"]])
TEAD4 <- removeOl(data[["Tead4"]])
YY1 <- removeOl(data[["YY1"]])
# we subset the pool to save demo time
set.seed(1)
wgEncodeTfbsV3.subset <-
wgEncodeTfbsV3[sample.int(length(wgEncodeTfbsV3), 2000)]
pool <- new("permPool", grs=GRangesList(wgEncodeTfbsV3.subset), N=length(YY1))
pt1 <- peakPermTest(YY1, TEAD4, pool=pool, seed=1, force.parallel=FALSE)
plot(pt1)
pt2 <- peakPermTest(YY1, TAF, pool=pool, seed=1, force.parallel=FALSE)
plot(pt2)
The binding pattern around a genome feature could be visualized and compared using a side-by-side heatmap and density plot using the binding ranges of overlapping peaks.
features <- ol$peaklist[[length(ol$peaklist)]]
feature.recentered <- reCenterPeaks(features, width=4000)
## here we also suggest importData function in bioconductor trackViewer package
## to import the coverage.
## compare rtracklayer, it will save you time when handle huge dataset.
library(rtracklayer)
files <- dir(path, "bigWig")
if(.Platform$OS.type != "windows"){
cvglists <- sapply(file.path(path, files), import,
format="BigWig",
which=feature.recentered,
as="RleList")
}else{## rtracklayer can not import bigWig files on Windows
load(file.path(path, "cvglist.rds"))
}
names(cvglists) <- gsub(".bigWig", "", files)
feature.center <- reCenterPeaks(features, width=1)
sig <- featureAlignedSignal(cvglists, feature.center,
upstream=2000, downstream=2000)
##Because the bw file is only a subset of the original file,
##the signals are not exists for every peak.
keep <- rowSums(sig[[2]]) > 0
sig <- sapply(sig, function(.ele) .ele[keep, ], simplify = FALSE)
feature.center <- feature.center[keep]
heatmap <- featureAlignedHeatmap(sig, feature.center,
upstream=2000, downstream=2000,
upper.extreme=c(3,.5,4))
sig.rowsums <- sapply(sig, rowSums, na.rm=TRUE)
d <- dist(sig.rowsums)
hc <- hclust(d)
feature.center$order <- hc$order
heatmap <- featureAlignedHeatmap(sig, feature.center,
upstream=2000, downstream=2000,
upper.extreme=c(3,.5,4),
sortBy="order")
featureAlignedDistribution(sig, feature.center,
upstream=2000, downstream=2000,
type="l")
1. Zhu, L. J. et al. ChIPpeakAnno: A bioconductor package to annotate chip-seq and chip-chip data. BMC bioinformatics 11, 237 (2010).
2. Zhu, L. J. in Tiling arrays 105–124 (Springer, 2013).
3. Leung, M.-Y., Marsh, G. M. & Speed, T. P. Over-and underrepresentation of short dna words in herpesvirus genomes. Journal of Computational Biology 3, 345–360 (1996).
4. Helden, J. van, Olmo, M. lı́ del & Pérez-Ortı́n, J. E. Statistical analysis of yeast genomic downstream sequences reveals putative polyadenylation signals. Nucleic Acids Research 28, 1000–1010 (2000).
5. Robertson, G. et al. Genome-wide profiles of stat1 dna association using chromatin immunoprecipitation and massively parallel sequencing. Nature methods 4, 651–657 (2007).
6. Lieberman-Aiden, E. et al. Comprehensive mapping of long-range interactions reveals folding principles of the human genome. science 326, 289–293 (2009).
7. Yip, K. Y. et al. Classification of human genomic regions based on experimentally determined binding sites of more than 100 transcription-related factors. Genome Biol 13, R48 (2012).
8. Consortium, E. P. & others. An integrated encyclopedia of dna elements in the human genome. Nature 489, 57–74 (2012).