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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
28/2015

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

Tat Dat Tran, Julian Hofrichter and Jürgen Jost

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.

Received:
Apr 22, 2015
Published:
Apr 23, 2015
MSC Codes:
60J27, 60J60, 92D25
Keywords:
Wright-Fisher model, mutation, entropy, stationary distribution, entropy production, free energy functional, selection, random genetic drift

Related publications

inJournal
2015 Repository Open Access
Tat Dat Tran, Julian Hofrichter and Jürgen Jost

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

In: Theory in biosciences, 134 (2015) 3-4, pp. 83-92