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Mathematical Frameworks for Phenotypical Selection and Epistasis

✍ Scribed by YURI LYUBICH; VALERY KIRZHNER

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 232 KB
Volume: 221
Category: Article
ISSN: 0022-5193
DOI: 10.1006/jtbi.2003.3212

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✦ Synopsis

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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