Introduction

gbdmr is used to identify the differential methylated CpG regions for the microarray data. The method can be smoothly conducted in three steps. First, order the CpG sites based on the chromosome number and chromosome coordinates; calculate the adjacent CpG sites’ correlation in the same chromosome one by one; get the clustered CpG sites that share similar information based on the correlation and treat these clusters as candidate DMRs. Then generalized beta regression is used to model the CpG sites in the same cluster; parameter estimation is performed via the maximum likelihood function (ML). Finally, conduct a log likelihood ratio test to the interesting phenotype after adjusting for the confounders, then summarize the result and report the DMRs. The method can be used to find the risk CpG sites related to any disease or CpG sites that can be potential mediators in the causal inference.

Usage

For running the algorithm one has to have three objects:

a matrix with methylation values;

a phenotype dataset (the IDs of the two data sets need to correspond one-to-one);

specific correlation value from 0 to 1.

All the work is done by one command gbdmr and for more information use ?gbdmr in R.

Install the package

library(devtools)
install_github("chengzhouwu/gbdmr")
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Loading packages

library(gbdmr)
library(IlluminaHumanMethylation450kanno.ilmn12.hg19)
library(minfi)
library(geograbi) 
library(limma)
library(corrplot)
library(maxLik)

Example

An example dataset beta and phenotype. It contains 1,000 CpG sites for 506 samples. Finding regions in this data can be accomplished using commands:

load("beta.Rdata")
load("phenotype.Rdata")
DMR_summary_list =  gbdmr(beta,phenotype,rho = 0.5)
## Warning: package 'dplyr' was built under R version 4.2.3
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## Attaching package: 'dplyr'
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##     intersect, setdiff, setequal, union
str(DMR_summary_list)
## List of 5
##  $ gbdmrall    :'data.frame':    1000 obs. of  3 variables:
##   ..$ cpg        : chr [1:1000] "cg13869341" "cg24669183" "cg15560884" "cg01014490" ...
##   ..$ clusterIDs : num [1:1000] 1 2 3 4 5 6 7 8 8 9 ...
##   ..$ raw_p_value: num [1:1000] 0.0106 0.6414 0.4339 0.3697 0.3157 ...
##  $ all_sig_cpG :'data.frame':    33 obs. of  3 variables:
##   ..$ cpg        : chr [1:33] "cg05151709" "cg08546707" "cg25066040" "cg16318112" ...
##   ..$ clusterIDs : num [1:33] 28 28 164 222 229 247 283 283 320 326 ...
##   ..$ raw_p_value: num [1:33] 5.42e-05 5.42e-05 6.43e-07 0.00 2.64e-05 ...
##  $ DMR         :'data.frame':    21 obs. of  3 variables:
##   ..$ cpg        : chr [1:21] "cg05151709" "cg08546707" "cg21139076" "cg07549208" ...
##   ..$ clusterIDs : num [1:21] 28 28 283 283 414 414 498 498 498 498 ...
##   ..$ raw_p_value: num [1:21] 5.42e-05 5.42e-05 6.38e-07 6.38e-07 8.27e-06 ...
##  $ DMP         :'data.frame':    12 obs. of  3 variables:
##   ..$ cpg        : chr [1:12] "cg25066040" "cg16318112" "cg00525597" "cg12469361" ...
##   ..$ clusterIDs : num [1:12] 164 222 229 247 320 326 354 399 554 652 ...
##   ..$ raw_p_value: num [1:12] 6.43e-07 0.00 2.64e-05 3.42e-05 3.67e-05 ...
##  $ positive_cpg: chr [1:33] "cg05151709" "cg08546707" "cg25066040" "cg16318112" ...

Output details

DMR_summary_list[[1]]
##              cpg clusterIDs  raw_p_value
## 1     cg13869341          1 1.064633e-02
## 2     cg24669183          2 6.413510e-01
## 3     cg15560884          3 4.339386e-01
## 4     cg01014490          4 3.697491e-01
## 5     cg23803172          5 3.156741e-01
## 6     cg05898754          6 1.356301e-01
## 7     cg03128332          7 4.961554e-01
## 8     cg16619049          8 6.705323e-01
## 9     cg23100540          8 6.705323e-01
## 10    cg18147296          9 4.058639e-01
## 11    cg05597748         10 1.769706e-01
## 12    cg00111697         11 9.027544e-01
## 13    cg10988531         12 4.999377e-01
## 14    cg13938959         13 4.609388e-02
## 15    cg12445832         13 4.609388e-02
## 16    cg23999112         13 4.609388e-02
## 17    cg11527153         14 3.593060e-01
## 18    cg27573606         15 7.305713e-02
## 19    cg04195702         16 6.534081e-01
## 20    cg08128007         17 2.651464e-01
## 21    cg23733394         18 4.905359e-01
## 22    cg13371836         19 8.194975e-01
## 23    cg04407431         20 2.049947e-01
## 24    cg13565718         21 6.594204e-01
## 25    cg01097950         22 5.266932e-01
## 26    cg08900511         23 2.518653e-01
## 27    cg04410003         24 2.018091e-01
## 28    cg18762746         25 9.815951e-01
## 29    cg12726839         26 4.554206e-03
## 30    cg04364728         27 2.339907e-01
## 31    cg05151709         28 5.419859e-05
## 32    cg08546707         28 5.419859e-05
## 33    cg06154531         29 4.340654e-01
## 34    cg01782097         29 4.340654e-01
## 35    cg20825023         29 4.340654e-01
## 36    cg12549180         30 4.659599e-02
## 37    cg11851804         31 8.812761e-01
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## 755   cg18224588        626 2.592528e-01
## 756   cg14488957        627 3.948657e-01
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## 758   cg05397202        628 1.070773e-01
## 759   cg02506753        628 1.070773e-01
## 760   cg05362521        629 1.341481e-01
## 761   cg05724097        630 5.530216e-01
## 762   cg26369180        631 6.132108e-01
## 763   cg19383909        632 6.258596e-02
## 764   cg26576041        633 6.247305e-01
## 765   cg11847126        634 4.819360e-01
## 766   cg15736449        635 6.459698e-01
## 767   cg23689441        636 7.263025e-01
## 768   cg17709975        637 6.565430e-02
## 769   cg10435967        638 9.930574e-01
## 770   cg08663263        639 1.599491e-01
## 771   cg04926200        640 9.706927e-01
## 772   cg26920857        641 1.300029e-02
## 773   cg12609142        642 8.965542e-01
## 774   cg15901950        643 1.388698e-01
## 775   cg12046908        644 5.301812e-01
## 776   cg26831087        645 2.147400e-01
## 777   cg21197375        646 9.434666e-04
## 778   cg20236831        647 4.636266e-03
## 779   cg13183628        648 2.323724e-01
## 780   cg06038049        649 8.906185e-03
## 781   cg17612270        650 3.713375e-02
## 782   cg22397910        651 1.115072e-03
## 783   cg04232698        652 2.602528e-10
## 784   cg19827148        653 8.303345e-02
## 785   cg06520508        654 6.641977e-01
## 786   cg17970390        654 6.641977e-01
## 787   cg05598010        654 6.641977e-01
## 788   cg16255279        655 7.041567e-01
## 789   cg22622472        656 2.412309e-04
## 790   cg16432326        657 1.330520e-01
## 791   cg07394827        658 9.623861e-02
## 792   cg02625725        659 8.234560e-01
## 793   cg21647460        660 2.582558e-02
## 794   cg16590012        661 4.123789e-02
## 795   cg20705390        662 3.206923e-01
## 796   cg04981007        663 4.916871e-01
## 797   cg24252805        664 2.062538e-01
## 798   cg07346648        664 2.062538e-01
## 799   cg08037114        664 2.062538e-01
## 800   cg07624812        665 2.574165e-01
## 801   cg04910752        666 5.548927e-02
## 802   cg13246026        667 2.727748e-01
## 803   cg21396988        668 8.180519e-01
## 804   cg06802641        669 7.627142e-01
## 805   cg03402404        670 2.531884e-01
## 806   cg10065209        671 1.878976e-01
## 807   cg08621441        672 2.299848e-02
## 808   cg18386618        673 7.214226e-01
## 809   cg06395167        674 8.335688e-01
## 810   cg16174225        674 8.335688e-01
## 811   cg00002593        675 5.574915e-01
## 812   cg11808871        676 4.446758e-01
## 813   cg14911892        677 2.516835e-01
## 814   cg26814650        678 9.831483e-02
## 815   cg08160862        679 6.911186e-01
## 816   cg23643813        680 1.166516e-01
## 817   cg26351554        681 1.843188e-01
## 818   cg24399111        682 6.161815e-01
## 819   cg18024631        683 2.549345e-01
## 820   cg07313814        684 1.103209e-01
## 821   cg22475339        685 6.260046e-01
## 822   cg11339519        686 2.734775e-02
## 823   cg00542041        687 6.768503e-01
## 824   cg16575694        688 7.031491e-01
## 825   cg06646682        689 2.091199e-03
## 826   cg12072393        690 2.380452e-01
## 827   cg13494355        691 1.973510e-01
## 828   cg25203539        692 8.132868e-01
## 829   cg19898526        693 4.288062e-01
## 830   cg06649390        694 8.268218e-01
## 831   cg17748182        695 7.457506e-01
## 832   cg03465880        696 5.633817e-02
## 833   cg15462203        697 1.520850e-02
## 834   cg10556264        698 3.654789e-01
## 835   cg22709966        699 5.832098e-02
## 836   cg15976416        700 2.080430e-01
## 837   cg17838754        701 1.359557e-01
## 838   cg23596199        702 1.341888e-03
## 839   cg13932473        703 5.794148e-01
## 840   cg04119843        704 6.824767e-02
## 841   cg09236098        705 3.273168e-01
## 842   cg12625874        706 7.539595e-01
## 843   cg10164137        707 2.067628e-03
## 844   cg17873420        708 2.852480e-01
## 845   cg21118819        709 3.961976e-01
## 846   cg11414742        710 6.728198e-02
## 847   cg14270725        711 1.545670e-01
## 848   cg15386434        712 2.458871e-02
## 849   cg14793596        712 2.458871e-02
## 850   cg07284273        713 5.612699e-01
## 851   cg25063151        714 7.055496e-01
## 852   cg19436320        715 8.497794e-01
## 853   cg00040588        715 8.497794e-01
## 854   cg27399052        716 9.488028e-01
## 855   cg12478066        716 9.488028e-01
## 856   cg23036947        716 9.488028e-01
## 857   cg17132079        716 9.488028e-01
## 858   cg01198994        717 5.916806e-01
## 859   cg23973885        718 4.605405e-01
## 860   cg13393580        719 9.247314e-01
## 861   cg13354934        720 9.608237e-01
## 862   cg14375163        721 6.737502e-01
## 863   cg20426768        722 3.734699e-01
## 864   cg24153574        723 6.939215e-01
## 865   cg21165029        724 1.434165e-01
## 866   cg03400623        724 1.434165e-01
## 867   cg22109675        724 1.434165e-01
## 868   cg15492552        724 1.434165e-01
## 869   cg05387269        725 8.845270e-01
## 870   cg14992101        726 7.875016e-01
## 871   cg09864992        727 2.498120e-01
## 872   cg25685675        728 5.667855e-01
## 873   cg14094639        729 2.557654e-01
## 874   cg01508988        730 1.448307e-01
## 875   cg07395004        731 1.623515e-01
## 876   cg19871494        732 4.062026e-01
## 877   cg15604233        733 2.559994e-01
## 878   cg11518257        734 1.869523e-01
## 879   cg19823490        735 2.540888e-02
## 880   cg15617543        736 6.090872e-02
## 881   cg02144516        737 3.403506e-01
## 882   cg26865478        738 1.256054e-01
## 883   cg16361266        739 1.159364e-01
## 884   cg12033178        740 1.481788e-01
## 885   cg04880874        741 7.749657e-01
## 886   cg15588177        742 5.602611e-01
## 887   cg22232737        743 2.086807e-02
## 888   cg01006034        744 5.378935e-01
## 889   cg23621766        745 4.652348e-01
## 890   cg06903451        746 7.621012e-01
## 891   cg23209302        747 2.612951e-04
## 892   cg01399319        748 1.310950e-01
## 893   cg17014728        749 5.928722e-02
## 894   cg22389936        750 3.611720e-02
## 895   cg04481810        751 8.404662e-01
## 896   cg19384072        752 1.122040e-01
## 897   cg24837149        753 2.368594e-02
## 898   cg16278124        754 3.135294e-01
## 899   cg06817090        755 9.822828e-01
## 900   cg16573386        756 6.649700e-01
## 901   cg17397377        757 7.419745e-01
## 902   cg07191003        758 6.446980e-02
## 903   cg08470185        759 7.738021e-01
## 904   cg15130241        760 6.753444e-01
## 905   cg25842896        761 2.070579e-01
## 906   cg00173405        762 1.329641e-01
## 907   cg03943717        763 8.533711e-01
## 908   cg23437836        764 4.073063e-01
## 909   cg00968800        765 6.617829e-01
## 910   cg09064061        766 7.983287e-01
## 911   cg24399028        767 8.364817e-01
## 912   cg14795268        768 7.300667e-01
## 913   cg21439539        769 5.838414e-01
## 914   cg20275133        770 5.181686e-03
## 915   cg16728516        771 6.023783e-01
## 916   cg05048680        771 6.023783e-01
## 917   cg25769755        771 6.023783e-01
## 918   cg11993086        772 6.827753e-01
## 919   cg05595602        773 2.457936e-01
## 920   cg25397779        774 9.547643e-01
## 921   cg12525514        775 1.142524e-02
## 922   cg11222665        776 1.302980e-01
## 923   cg25939543        777 2.016425e-03
## 924   cg16661858        778 2.435240e-01
## 925   cg00009834        779 1.011871e-06
## 926   cg27295412        780 3.553127e-01
## 927   cg00060374        781 8.775605e-01
## 928   cg17507949        782 6.602174e-02
## 929   cg23894219        783 1.000000e+00
## 930   cg15633699        783 1.000000e+00
## 931   cg10380643        783 1.000000e+00
## 932   cg15081886        783 1.000000e+00
## 933   cg15823872        784 6.289149e-01
## 934   cg24555071        785 3.778047e-01
## 935   cg06711078        786 7.149081e-01
## 936   cg12286462        787 4.683533e-02
## 937   cg01721822        788 7.204166e-01
## 938   cg21285198        789 9.387008e-02
## 939   cg00305774        789 9.387008e-02
## 940   cg22517356        789 9.387008e-02
## 941   cg09368716        790 4.105097e-07
## 942   cg12208770        790 4.105097e-07
## 943   cg26863172        790 4.105097e-07
## 944   cg17142722        791 9.958164e-01
## 945   cg04897188        792 9.823111e-03
## 946   cg04865726        793 1.912277e-03
## 947   cg12407057        793 1.912277e-03
## 948   cg19270739        793 1.912277e-03
## 949   cg21837069        793 1.912277e-03
## 950   cg17491622        794 2.144834e-01
## 951   cg06444575        794 2.144834e-01
## 952   cg00702126        794 2.144834e-01
## 953   cg14667273        794 2.144834e-01
## 954   cg27391934        794 2.144834e-01
## 955   cg08589721        795 7.669086e-01
## 956   cg14271665        796 3.609043e-02
## 957   cg02896318        797 6.740275e-02
## 958   cg25234611        798 8.973379e-01
## 959   cg09668627        799 7.751540e-01
## 960   cg08161163        800 2.608068e-01
## 961   cg26798702        800 2.608068e-01
## 962   cg09843049        801 7.718506e-01
## 963   cg13897675        802 5.882994e-01
## 964   cg09860601        803 3.128164e-02
## 965   cg19639479        804 4.938106e-03
## 966   cg03116557        805 6.318947e-03
## 967   cg13570957        805 6.318947e-03
## 968   cg03538326        806 7.344489e-05
## 969   cg26795248        807 5.285028e-01
## 970   cg25592215        808 5.879852e-01
## 971   cg08426733        809 5.642950e-02
## 972   cg08270205        810 6.098874e-01
## 973   cg15099879        811 1.186886e-01
## 974   cg06786804        812 2.981744e-01
## 975   cg24492273        813 9.052431e-01
## 976   cg21001441        814 8.294284e-01
## 977   cg00528453        815 4.217983e-01
## 978   cg27383362        816 1.446930e-01
## 979   cg26651722        817 5.567023e-01
## 980   cg19682639        818 7.109150e-02
## 981   cg13388025        819 1.669867e-01
## 982   cg26226110        820 8.573231e-02
## 983   cg07280242        821 2.898762e-01
## 984   cg13798621        821 2.898762e-01
## 985   cg04107003        822 1.097445e-01
## 986   cg17282836        823 2.464766e-01
## 987   cg10522845        824 4.576880e-01
## 988   cg04981940        825 5.382501e-01
## 989   cg17821649        826 4.969917e-01
## 990   cg00391668        827 5.039001e-02
## 991   cg03742705        828 2.534423e-01
## 992   cg15875062        829 5.319267e-01
## 993   cg10228629        830 8.194878e-04
## 994   cg06377929        831 1.704660e-04
## 995   cg10240778        832 1.257148e-02
## 996   cg04286729        833 1.830558e-01
## 997   cg12909536        834 5.870642e-01
## 998   cg12439834        835 3.939019e-06
## 999   cg05818185        836 7.836874e-02
## 1000  cg01768480        837 2.737069e-02
# gbdmr overall result: including CpG, clusterID and p-value
# extract the significant CpG names
DMR_summary_list[[5]]
##  [1] "cg05151709" "cg08546707" "cg25066040" "cg16318112" "cg00525597"
##  [6] "cg12469361" "cg21139076" "cg07549208" "cg15207999" "cg16060740"
## [11] "cg10126324" "cg04311266" "cg21778193" "cg15489799" "cg22335801"
## [16] "cg14661234" "cg23394673" "cg23166857" "cg09586191" "cg23867494"
## [21] "cg21815220" "cg17084044" "cg16252905" "cg09315878" "cg01075305"
## [26] "cg03058163" "cg10245314" "cg04232698" "cg00009834" "cg09368716"
## [31] "cg12208770" "cg26863172" "cg12439834"

Downstream analysis

2. Mediation analysis

For example, if you have data recording dependent and indenpendent variable information

Y <- ASTHMA_18

X <- BMI_CLUSTER.x

M <- new_beta[rownames(new_beta) == “cg09705784”,]

M <- as.numeric(M[1,])

model.0 <- glm(Y~X)

summary(model.0)

model.M <- glm(M ~ X)

summary(model.M)

model.Y <- glm(Y ~ X + M)

summary(model.Y)

library(mediation)

results <- mediate(model.M, model.Y, treat=“X”, mediator = “M”, boot = T, sims=500)

summary(results)

3. Assocaition study

Y <- ASTHMA_18

X1 <- POLLEN_18

X2 <- new_beta[rownames(new_beta) == “cg22024479”,] X2 <- as.numeric(X2[1,])

X3 <- new_variable$SEX_0.x

model1 <- glm(Y ~ X1 + X2 + X3 + X1X2 + X1X3 + X2*X3)

summary(model1)

model2 <- glm(Y ~ X1 + X2)

summary(model2)

model3 <- glm(Y ~ X1 + X2 + X3 )

summary(model3)

coef <- model2$coefficients[2]

se <- summary(model2)$coefficients[2,2]

OR <- exp(round(coef,2))

4. Prediction study

Epigenetic factors can be used as a candidate biomarker, and gbdmr can be potentially used to make the feature selection in the disease prediction.