BIOINFORMATICS ORIGINAL

Abstract

Motivation: We address the issue of finding a three-way gene interaction, i.e. two interacting genes in expression under the genotypes of another gene, given a dataset in which expressions and genotypes are measured at once for each individual. This issue can be a general, switching mechanism in expression of two genes, being controlled by categories of another gene, and finding this type of interaction can be a key to elucidating complex biological systems. The most suitable method for this issue is likelihood ratio test using logistic regressions, which we call interaction test , but a serious problem of this test is computational intractability at a genome-wide level. Results: We developed a fast method for this issue which improves the speed of interaction test by around 10 times for any size of datasets, keeping highly interacting genes with an accuracy of ∼ 85%. We applied our method to ∼ 3 × 10 8 three-way combinations generated from a dataset on human brain samples and detected three-way gene interactions with small P -values. To check the reliability of our results, we first conducted permutations by which we can show that the obtained P -values are significantly smaller than those obtained from permuted null examples. We then used GEO (Gene Expression Omnibus) to generate gene expression datasets with binary classes to confirm the detected three-way interactions by using these datasets and interaction tests. The result showed us some datasets with significantly small P -values, strongly supporting the reliability of the detected three-way interactions.