Selective mating in a continuous model of epistasis

James Braselton, Martha Abell, Lorraine Braselton

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Epistasis is the interaction between two or more genes to control a single phenotype. We model epistasis with a two-locus two-allele problem. The resulting model allows us to examine both population sizes as well as genotypic and phenotypic frequencies. In the context of an example, we show that if epistasis results in an undesirable phenotype, such as a genetically transmitted disease or condition, elimination of undesirable phenotypes from the population through selective breeding may be possible, although such selective breeding could lead to an increase in less desirable phenotypes and possibly the elimination of desirable phenotypes.

Original languageEnglish
Pages (from-to)225-241
Number of pages17
JournalApplied Mathematics and Computation
Volume171
Issue number1
DOIs
StatePublished - Dec 1 2005

Scopus Subject Areas

  • Computational Mathematics
  • Applied Mathematics

Keywords

  • Epistasis
  • Hardy-Weinberg equation
  • Logistic equation
  • Preferential mating

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