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Finally, we remark that the start point for partitioning the genes into non-overlapping blocks has little effect on the analysis presented above because of the way we calculate the mean coexpression value of genes within a block.
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A G (i, j) = 1 means coexpression value of gene i and gene j in A GN is greater than or equal to T1, and coexpression value of genes i and j in A GD is less than or equal to T2.
The P values of the coexpression index and mean coexpression index from the real data were determined according to the derived probability distribution by the simulation.
We next determined the P value of both the coexpression index and mean coexpression index at the window size of 20 genes by Monte-Carlo simulation.
This process was repeated for 10,000 times; the resulting distributions of both coexpression index and mean coexpression index were fit to the Gaussian density function.
The P value of the mean coexpression index values after the removal of tandem duplication genes was still very low (below 0.00001 in both ES and EB).
The mean coexpression index values were 0.026 and 0.020 in ES and EB, respectively, from the real genome data where tandem duplication genes were removed.
Supplementary Fig. S1 [see Additional file 1] presents plots of the mean coexpression index values for both ES and EB states.
We evaluated the mean R of the coexpression value of a pair of genes within a GO class that contains 20 or less genes.
For each gene block, we calculated a mean R of the coexpression values; then the mean of all the mean Rs is calculated and plotted in Figure 2. The degree of coexpression first decreases and then becomes stable when the block size k increases from 3 to 20.
If both genes are either positively or negatively coexpressed in both cancer types, then the coexpression value difference will be 0. By computing the coexpression value difference of all interactions in the module that involve the gene under test, we can compute the average and use it to represent the coexpression value difference for this gene.
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