Chip-seq 데이터를 통한 binding motif의 분석
Chip-seq 을 통해 대략적인 protein binding site (혹은 histon modification)의 시퀀스를 알고, 이 시퀀스들 중에서 비슷한 시퀀스를 찾아내어 해당 protein에 specific한 시퀀스가 무엇인지를 알아내는 분석이다. 이를 수행하는 bioinformatics Tool은 매우 많으며, [Evaluating tools for transcription factor binding site prediction] 논문에서 좋은 평가를 받았던 rGADEM을 이용하여 binding motif를 찾는 분석을 해보도록 한다. rGADEM은 GADEM 방법을 r로 구현한 것이며, GADEM은 motif를 찾는데 Genetic 알고리즘과 EM 알고리즘을 결합하여 사용한다. 자세한 방법론은 본 포스팅에서 다루지 않는다. 본 포스팅은 이 튜토리얼을 참고하였다.
# rGADEM Tutorial
# reference : https://bioconductor.org/packages/devel/bioc/vignettes/rGADEM/inst/doc/rGADEM.pdf
source("https://bioconductor.org/biocLite.R")
# biocLite("rGADEM", lib="C:/Users/Documents/R/win-library/3.4")
# biocLite("BSgenome.Hsapiens.UCSC.hg19", lib="C:/Users/Documents/R/win-library/3.4")
# biocLite("DNAStringSet", lib="C:/Users/R/win-library/3.4")
# install.packages("RCurl")
library(RCurl)
library(rGADEM)
library(BSgenome.Hsapiens.UCSC.hg19)
rGADEM은 bioLite 패키지에 있으며, 위와 같이 설치할 수 있다. rGADEM, BSgenome..., DNAStringSet 3개의 bioLite 패키지를 설치한 후, 이와 의존성이 있는 RCurl 패키지까지 설치하면 라이브러리 로드가 완료된다.
데이터
Test_100.bed
Test_100.fasta
rGADEM을 설치하면 위 예제 데이터가 패키지 안에 기본으로 들어있다. 이 예제 데이터를 통해 실습을 해보도록 한다.
chipseq 데이터로 binding motif를 분석하기까지의 pipeline은 QC, peak calling 등의 과정을 거쳐야한다. 하지만 이번 분석에서는 peak calling까지 끝난 데이터로 분석을 한다고 가정한다. peak calling이 완료되면 protein binding이 많이 일어난 부분의 시퀀스를 얻어낼 수 있다. 이 데이터는 주로 BED 혹은 FASTA 파일로 주어진다.
1. 데이터가 BED 포맷인 경우
BED <- read.table("C:\\Test_100.bed",header=FALSE,sep="\t")
BED <- data.frame(chr=as.factor(BED[,1]),start=as.numeric(BED[,2]),end=as.numeric(BED[,3]))
BED
rgBED <-IRanges(start=BED[,2],end=BED[,3])
Sequences <- RangedData(rgBED,space=BED[,1])
rgBED
Sequences
> BED
chr start end
1 chr1 145550911 145551112
2 chr1 112321064 112321265
3 chr1 120124183 120124384
4 chr1 114560780 114560981
5 chr1 8044002 8044203
6 chr1 154708057 154708258
7 chr1 21537833 21538034
8 chr1 117197889 117198090
9 chr1 22547577 22547778
10 chr1 170982215 170982416
11 chr1 203938925 203939126
12 chr1 198607893 198608094
13 chr1 244838696 244838897
14 chr1 22613354 22613555
15 chr1 36725231 36725432
50 chr1 35024860 35025061
> rgBED
IRanges object with 50 ranges and 0 metadata columns:
start end width
<integer> <integer> <integer>
[1] 145550911 145551112 202
[2] 112321064 112321265 202
[3] 120124183 120124384 202
[4] 114560780 114560981 202
[5] 8044002 8044203 202
... ... ... ...
[46] 24574361 24574562 202
[47] 46110458 46110659 202
[48] 114377432 114377633 202
[49] 152657429 152657630 202
[50] 35024860 35025061 202
> Sequences
RangedData with 50 rows and 0 value columns across 1 space
space ranges |
<factor> <IRanges> |
1 chr1 [145550911, 145551112] |
2 chr1 [112321064, 112321265] |
3 chr1 [120124183, 120124384] |
4 chr1 [114560780, 114560981] |
5 chr1 [ 8044002, 8044203] |
6 chr1 [154708057, 154708258] |
7 chr1 [ 21537833, 21538034] |
8 chr1 [117197889, 117198090] |
9 chr1 [ 22547577, 22547778] |
... ... ... ...
42 chr1 [221975293, 221975494] |
43 chr1 [ 59123669, 59123870] |
44 chr1 [ 76297843, 76298044] |
45 chr1 [188010599, 188010800] |
46 chr1 [ 24574361, 24574562] |
47 chr1 [ 46110458, 46110659] |
48 chr1 [114377432, 114377633] |
49 chr1 [152657429, 152657630] |
50 chr1 [ 35024860, 35025061] |
2. GADEM 실행
gadem <- rGADEM::GADEM(Sequences,verbose=1,genome=Hsapiens)
interation을 돌며 GADEM 알고리즘이 실행된다.
총 2개의 motif 가 생성되었다.
> length(gadem@motifList)
[1] 2
이 중에서 첫 번째 motif는 아래와 같이 생겼다.
plot(gadem@motifList[[1]])
![](data:image/png;base64,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)
> gadem@motifList[[1]]@alignList
[[1]]
An object of class "align"
Slot "seq":
[1] "GCCCCGACCTCTTATCTCTG"
Slot "chr":
[1] "chr1"
Slot "start":
[1] 43552181
Slot "end":
[1] 43552382
Slot "strand":
[1] "+"
Slot "seqID":
[1] 38
Slot "pos":
[1] 100
Slot "pval":
[1] 2.209965e-09
Slot "fastaHeader":
[1] 38
[[2]]
An object of class "align"
Slot "seq":
[1] "ACCCCAACCTCTTATCTCTG"
Slot "chr":
[1] "chr1"
Slot "start":
[1] 43552181
Slot "end":
[1] 43552382
Slot "strand":
[1] "+"
Slot "seqID":
[1] 38
Slot "pos":
[1] 58
Slot "pval":
[1] 2.365196e-09
Slot "fastaHeader":
[1] 38
[[3]]
An object of class "align"
Slot "seq":
[1] "ACCCCAACCCCTTATTTCTG"
Slot "chr":
[1] "chr1"
Slot "start":
[1] 43552181
Slot "end":
[1] 43552382
Slot "strand":
[1] "+"
Slot "seqID":
[1] 38
Slot "pos":
[1] 121
Slot "pval":
[1] 5.472386e-09
Slot "fastaHeader":
[1] 38
GADEM 알고리즘은 이 motif를 설명할 수 있는 총 26개의 시퀀스를 찾았다. 이 중 3개의 시퀀스가
GCCCCGACCTCTTATCTCTG
ACCCCAACCTCTTATCTCTG
ACCCCAACCCCTTATTTCTG
이다. 이러한 비슷한 시퀀스를 tfbs 라고 하며, tf protein이 이 곳에 달라붙어 regulatory role을 수행하게 된다.
[[26]]
An object of class "align"
Slot "seq":
[1] "CCTTCCTTCCTTTCTTCCTT"
Slot "chr":
[1] "chr1"
Slot "start":
[1] 200254533
Slot "end":
[1] 200254734
Slot "strand":
[1] "-"
Slot "seqID":
[1] 36
Slot "pos":
[1] 193
Slot "pval":
[1] 0.0001878598
Slot "fastaHeader":
[1] 36
위 결과처럼 - strand의 결과도 볼 수 있는데, 이 경우에는 BED파일에서 reverse strand를 보면 된다. 하지만 위 결과는 자동으로 reverse strand를 보여준다. http://genome.ucsc.edu/cgi-bin/das/hg19/dna?segment=chr1:200254533,200254734를 확인하면 위 시퀀스의 reverse인 aaggaagaaaggaaggaagg 를 확인할 수 있다.
3. INPUT이 FASTA 파일인 경우
# 2. Input이 FASTA 파일일 경우
path <- system.file("extdata/Test_100.fasta", package="rGADEM")
FastaFile <- paste(path,sep="")
Sequences <- readDNAStringSet(FastaFile, "fasta")
Sequences
Fasta파일의 경우 위와 같이 전처리 하면 되며, 이후의 절차는 BED 파일과 동일하다.
> Sequences
A DNAStringSet instance of length 49
width seq names
[1] 202 CTACAGCTGTTCCTTGTCATCAGCCTGGGGGTGGGTAGTATTTTGATCTTA...GTCCCCATGTGACTGTAGGGTTCCTGAAACCTGGCAGGCCACTCTGCTTG FOXA1 _ 1
[2] 202 TTATTCTGATGTGGTTTTGCGGTTATACAGTAAGCAGCACTGCTTATGTGG...ACACCAGAGGCCACCAGGACCAGAATGTTTACCAATGTAGGCAGTCACTA FOXA1 _ 10
[3] 202 AAAGGAGAAACACAGCCAAATAATAAAACAATATCTTCTGTAAGTAAAGAG...CAAAGGTGCAAAGCCCTCTTTCAGATCCATCTCCACCATTTCCCTTCAGG FOXA1 _ 11
[4] 202 TGTACCCCCCCAATATTTCATGATATTTACATGTTTGCATAGTACTTTCCT...CACAGGCAGAGTCAACATTGGAACTCGGAACACTGAGCCTGGCATTCCAA FOXA1 _ 12
[5] 202 TTTAAGACTGCCACCTGAAATCAAGTCCAGTGGCTGTTCCTGTCTTCCCGT...TTATTTAACCTTTTGCCATTAGTTTACAAGAAGACGGGTTGAGCGAGTCA FOXA1 _ 13
... ... ...
[45] 202 ATTAGTTCATGCCAGGCAGGGTTTGACCAAAACCTTGGACTCACTCCTGTC...TGCTGCTGCTAAGCCAGTGAGATAGATGGTGGTTTGGAAACACCCTCATG FOXA1 _ 5
[46] 202 CCAGAGCCACCACAGCCAGGCCTCTGCGGCCAGTGTCAACAAGGGGCCAGG...TGGGGTTTTGTTTACACACCTAGGGTCACCTGAAAACACCTGCTGTTTAA FOXA1 _ 6
[47] 202 CAGATCAGAGCCTGGGAGCGGGCCATGTGCAGCTGGATGGGCAGCTGGAGG...GCCCACCCTCCTGCCTTCCCAGCCAAGGAGGGAAGGGAGCTGTGGGAGGA FOXA1 _ 7
[48] 202 GGAATGTGATTTACCCAGATAAATCATCAGCTCAAGGGACTGCTTGGAGAG...TCCAGAGCTAGACGCAGAGGAAGGGGTCAAACATGTCCACATGGAACCTG FOXA1 _ 8
[49] 202 GGCTTTTCCAAGAACAATAGTGTTCTCCTAACAAACATTCGTTCCATCAGC...GGTGTTAGGGACAGAGTCCCAGGTGGCATAAAGTCGGGTTGGTCCTTGGC FOXA1 _ 9
예제 Fasta 파일의 경우 아래와 같은 motif를 찾았고, 총 74개의 sequence가 이 consensus에 부합했다. 즉, FOXA1라는 transcription factor의 binding motif (혹은 transcription factor binding site)의 consensus를 위의 Fasta 파일의 데이터를 통해 예측해볼 수 있다.
plot(gadem@motifList[[1]])
![](data:image/png;base64,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)
[[72]]
An object of class "align"
Slot "seq":
[1] "CTATTGACTTT"
Slot "chr":
[1] "chr"
Slot "start":
[1] 0
Slot "end":
[1] 0
Slot "strand":
[1] "-"
Slot "seqID":
[1] 4
Slot "pos":
[1] 93
Slot "pval":
[1] 0.0001517677
Slot "fastaHeader":
[1] 4
[[73]]
An object of class "align"
Slot "seq":
[1] "ATATTTACTTG"
Slot "chr":
[1] "chr"
Slot "start":
[1] 0
Slot "end":
[1] 0
Slot "strand":
[1] "+"
Slot "seqID":
[1] 42
Slot "pos":
[1] 135
Slot "pval":
[1] 0.0001719873
Slot "fastaHeader":
[1] 42
[[74]]
An object of class "align"
Slot "seq":
[1] "CTATTTGCTGG"
Slot "chr":
[1] "chr"
Slot "start":
[1] 0
Slot "end":
[1] 0
Slot "strand":
[1] "+"
Slot "seqID":
[1] 41
Slot "pos":
[1] 53
Slot "pval":
[1] 0.0001754087
Slot "fastaHeader":
[1] 41