The evolution of moment generating functions for the Wright-Fisher model of population genetics

The evolution of moment generating functions for the Wright-Fisher model of population genetics

•New alternative method for Wright-Fisher model.•PDE for moment generating function.•Compact encoding of relevant quantities.•Treatment for two- and many-allele cases. We derive and apply a partial differential equation for the moment generating function of the Wright-Fisher model of population gene...

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Veröffentlicht in:Mathematical biosciences 2014-10, Vol.256, p.10-17
Hauptverfasser: Tran, Tat Dat, Hofrichter, Julian, Jost, Jürgen
Format: Artikel
Sprache:eng
Schlagworte:
Genetics, Population
Master equation
Models, Theoretical
Moment generating function
Random genetic drift
Wright-Fisher model
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Zusammenfassung:•New alternative method for Wright-Fisher model.•PDE for moment generating function.•Compact encoding of relevant quantities.•Treatment for two- and many-allele cases. We derive and apply a partial differential equation for the moment generating function of the Wright-Fisher model of population genetics.
ISSN:0025-5564
1879-3134
DOI:10.1016/j.mbs.2014.07.007