The advent of large, well-curated databases, such as the genomic data commons, that contain RNA sequencing data from hundreds of patient tumors has made it possible to identify oncogene candidates solely based off of patterns present in mRNA expression data. Oncomix is the first method developed to identify oncogenes in a visually-interpretable manner from RNA-sequencing data in large cohorts of patients.
Oncomix is an R package for identifying oncogene candidates based off of 2-component Gaussian mixture models. It estimates parameters using the expectation maximization procedure as implemented in the R package mclust. This tutorial will demonstrate how to identify oncogene candidates from a set of mRNA sequencing data. We start by loading the package:
#devtools::install_github("dpique/oncomix", build_vignettes=T) library(oncomix)
We first explore the idea of what the distribution of gene expression values for a oncogene should look like. It is known that oncogenes such as ERBB2 are overexpressed in 15-20% of all breast cancer patients. In addition, oncogenes should not be expressed in normal tissue. Based on this line of reasoning, we formulate a model for the distribution of oncogene mRNA expression values in a population of both tumor (teal curves) and normal (red-orange curves) tissue:
The x-axis represents mRNA expression values, with lower values toward the left and larger values (i.e. higher expression) toward the right. The y axis represents density. The teal curves represent the best-fitting Gaussian probability distribution (PD) over expression values from a single gene obtained from multiple tumor samples. The red-orange curves represent the PD over expression values from the same gene obtained from multiple adjacent normal tissue samples. This mixture model is applied once to the tumor data and again (separately) to the adjacent normal data, hence the 4 curves.
The advantage of applying a 2-component mixture model is that we are able to capture biologically-relevant clusters of gene expression that may naturally exist in the data. Otherwise, we might represent our data with just a single curve sitting in the middle of what really are 2 distinct clusters. Visually, we see that for a theoretical oncogene, there is a subgroup of tumors that overexpresses this gene relative to normal tissue.
We now conceptually compare oncomix to the techniques employed by traditional differential expression analysis (e.g. Student’s t-test, as employed by limma, or DESeq2). These existing approaches make strong assumptions – namely, that the data from a particular group are well-described by distributions with mass concentrated around a central value (such as a ‘mean’). If we were to use one of these approaches on a large dataset, our assumption would be that oncogenes are overexpressed in every tumor sample compared to normal tissue. This assumption can be visualized below:
The red-orange curve represents the gene expression values from the adjacent normal data, and the teal curve represents the gene expression values from the tumor data. Note, however, that the goal for a DE analysis using existing methods (such as limma) would be to find genes that maximize the difference between these two curves. This approach does not represent our knowledge of how oncogenes are expressed in a population of individuals – that is, highly expressed in a subset of patient tumors, and lowly expressed in adjacent normal tissue.
Now, we will load an example dataset that contains expression values for 700 mRNA isoforms obtained from paired samples of breast tumor (
exprTumIsof) and adjacent normal(
exprNmlIsof) breast tissue from 113 patients in the Genomic Data Commons. We will fit the mixture model using the oncomix function
mixModelParams, which takes dataframes that contain patients as rows and mRNA isoforms/genes as columns. The number of columns (genes) should be the same between both dataframes, though the number of rows can vary.
data(exprNmlIsof, exprTumIsof, package="oncomix") ##look at the matrix of mRNA expression data from adjacent normal samples dim(exprNmlIsof)
##  700 113
## TCGA-A7-A0CE-11A TCGA-A7-A0CH-11A TCGA-A7-A0D9-11A TCGA-A7-A0DB-11A ## uc001qoa.2 1.972887 2.4877508 1.534429 2.787777 ## uc002jyg.1 1.488236 0.9886728 3.363712 3.301014 ## uc011lsc.1 5.939032 6.7117641 5.210523 5.664385 ## uc004cpd.1 1.816706 1.6479322 1.295284 1.537309 ## uc011mgy.1 1.573477 1.3371375 2.027953 2.070035 ## TCGA-A7-A0DC-11A ## uc001qoa.2 1.821897 ## uc002jyg.1 3.127924 ## uc011lsc.1 5.433401 ## uc004cpd.1 1.533831 ## uc011mgy.1 2.431077
##look at the matrix of mRNA expression data from tumors dim(exprTumIsof)
##  700 113
## TCGA-A7-A0CE-01A TCGA-A7-A0CH-01A TCGA-A7-A0D9-01A TCGA-A7-A0DB-01A ## uc001qoa.2 1.2399803 1.780444 1.704665 2.390934 ## uc002jyg.1 3.1547083 3.503748 2.432818 2.638793 ## uc011lsc.1 5.2938539 5.622610 9.029952 6.077302 ## uc004cpd.1 0.8499161 1.803169 2.518515 1.735324 ## uc011mgy.1 0.6849480 2.081580 3.343087 1.546985 ## TCGA-A7-A0DC-01A ## uc001qoa.2 2.310899 ## uc002jyg.1 1.893164 ## uc011lsc.1 7.636221 ## uc004cpd.1 1.882874 ## uc011mgy.1 2.415372
##fits the mixture models, will take a few minutes mmParams <- mixModelParams(exprNmlIsof, exprTumIsof) head(mmParams)
## nMu1 nMu2 nVar nPi1 tMu1 tMu2 ## uc002jxc.2 1.250068025 1.83147135 0.116400229 0.7967701 1.7371897 4.285259 ## uc001jrg.2 0.006952803 0.01324544 0.005531848 0.5003037 0.1113493 1.625321 ## uc003aab.2 0.985454390 1.59242262 0.087878646 0.4896663 2.0035574 4.522943 ## uc004cmb.2 0.385483412 0.87309050 0.046609881 0.6731112 1.1691973 3.389940 ## uc002jfu.2 0.382007855 0.45789679 0.558312339 0.5189438 0.5591093 2.645615 ## uc001lcs.1 0.600357282 1.45153880 0.178300764 0.6373414 0.3463322 2.934114 ## tVar tPi1 deltaMu2 deltaMu1 SI score ## uc002jxc.2 0.4368186 0.5943046 2.453788 0.4871217 1.0000000 1.4134475 ## uc001jrg.2 0.1074420 0.7913964 1.612076 0.1043965 1.0000000 1.3947057 ## uc003aab.2 0.6200912 0.7359520 2.930521 1.0181030 1.0000000 1.2044477 ## uc004cmb.2 0.5000264 0.7992164 2.516849 0.7837139 1.0000000 1.1864992 ## uc002jfu.2 0.3309116 0.6385413 2.187718 0.1771014 0.9911504 1.1114688 ## uc001lcs.1 0.5330532 0.5976110 1.482575 -0.2540251 0.8849558 0.9072978
The object returned by
mixModelParams is a dataframe with rows corresponding to genes and 12 columns containing mixture model parameters. The rows are sorted according to the
score column, with the first row containing the highest oncomix score (defined below). The meaning of the dataframe columns are described below:
nMu1= the mean (\(\mu\)) of the Gaussian curve with the smaller mean fit to the adjacent normal expression data (referred to as Mode 1).
nMu2= the mean (\(\mu\)) of the Gaussian curve with the larger mean fit to the adjacent normal expression data (referred to as Mode 2).
nVar= the variance (\(\sigma\)) of the two Gaussian curves f