The free energy method and the Wright-Fisher model with 2 alleles

Tat Dat Tran, Julian Hofrichter, and Jürgen Jost

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Submission date: 22. Apr. 2015
Pages: 15
published in: Theory in biosciences, 134 (2015) 3-4, p. 83-92 
DOI number (of the published article): 10.1007/s12064-015-0218-2
Bibtex
MSC-Numbers: 60J27, 60J60, 92D25
Keywords and phrases: Wright-Fisher model, mutation, entropy, stationary distribution, entropy production, free energy functional, selection, random genetic drift
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Abstract:
We introduce a new systematic approach to the Wright-Fisher model of population genetics based on the free energy functional. In the present paper, the method is illustrated for the simplest case only, that of 2 alleles.