Genetic interactions from first principles
Jorge Fernandez-de-Cossio, Jorge Fernandez-de-Cossio-Diaz, Yasser, Perera

TL;DR
This paper develops a unified statistical model for genetic interactions based on fundamental probabilistic principles, revealing new insights and improving analysis of complex genetic interaction data.
Contribution
It introduces a general, principled model for genetic interactions, unifying diverse approaches and enabling better interpretation of genetic interaction data.
Findings
Less aversion to positive interactions in yeast genetics
Identification of key genetic interaction hubs
Partial re-mapping of functional genetic regions
Abstract
We derive a general statistical model of interactions, starting from probabilistic principles and elementary requirements. Prevailing interaction models in biomedical researches diverge both mathematically and practically. In particular, genetic interaction inquiries are formulated without an obvious mathematical unity. Our model reveals theoretical properties unnoticed so far, particularly valuable for genetic interaction mapping, where mechanistic details are mostly unknown, distribution of gene variants differ between populations, and genetic susceptibilities are spuriously propagated by linkage disequilibrium. When applied to data of the largest interaction mapping experiment on Saccharomyces Cerevisiae to date, our results imply less aversion to positive interactions, detection of well-documented hubs and partial remapping of functional regions of the currently known genetic…
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