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Mathematical frameworks for phenotypical selection and epistasis.

Yuri Lyubich·Valery Kirzhner
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Abstract

A mathematical approach to interactions between genotypes and phenotypes in a multilocus multiallele population is developed. No a priori information on a fitness function is required. In particular, some structural definitions of epistasis and the position effect are given in terms of a decomposition of phenotypical structures. On this base a distance to the additive non-epistasis is introduced and an explicit formula for it is obtained. A class of phenotypical structures including multilocus dominance is described in terms of directed graphs. The evolutionary equations are adjusted to a fitness function compatible with a phenotypical structure. Some results on the finiteness of the equilibria set are presented.

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AllelesAnimalsEpistasis, GeneticEvolution, MolecularGenotypeModels, GeneticPhenotypeSelection, GeneticJournal Article

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BibTeXRIS

Yuri Lyubich, Valery Kirzhner. 2003-04-21. Mathematical frameworks for phenotypical selection and epistasis.. https://doi.org/10.1006/jtbi.2003.3212

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