Statistical analysis of mutual information.

<p>(A) Mutual information values for any pairs of probe sets on Chr19. The middle point of each probe set identifies its position along the chromosome. The gray stripes correspond to the centromere. (B) Histograms of values of mutual information for pairs of probe sets located at various intervals of their genomic separation. The black lines correspond to fitting the histograms with the theoretical (null case) MI distribution <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1003019#pcbi.1003019-Goebel1" target="_blank">[36]</a>. The vertical black dashed lines correspond to the estimated threshold values (see next and main text). (C) Example of E-value (expected number of false positives) distribution for probe set pairs located at genomic separation in the range . The threshold is the value of mutual information at which the E-value is equal to . For different genomic separations, analogous curves were obtained. (D) Network of coregulated pairs of genes at separation. The analysis illustrated in (C) singles out significantly-high values of Mutual Information. These contributions corresponds to connections (<i>cyan links</i>) between coregulated gene pairs (<i>red dots</i>). The scale is in . (E) Networks of coregulated pairs of loci used to fix the spatial constraints between corresponding regions of the model chromosomes. For the sake of clarity, the whole network has been represented as three sub-networks for pairs of loci at genomic separations of 0–20 Mbp (<i>left</i>), 20–40 Mbp (<i>middle</i>) and 40–60 Mbp (<i>right</i>), respectively.