A Mutation-Selection Model with Recombination for General Genotypes

DOI10.1090/S0065-9266-2012-00662-9zbMath1291.92088arXivq-bio/0609046OpenAlexW2145848176MaRDI QIDQ4979157

David Steinsaltz, Steven N. Evans, Kenneth W. Wachter

Publication date: 17 June 2014

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-bio/0609046

zbMATH Keywords

stabilityWasserstein metricdynamical systempopulation geneticsattractivityshadowingPalm measurePoisson random measuremeasure-valuedquasi-linkage equilibrium

Mathematics Subject Classification ID

Problems related to evolution (92D15) Dynamical systems in biology (37N25) Random measures (60G57) Genetics and epigenetics (92D10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (3)

Kingman’s model with random mutation probabilities: convergence and condensation I ⋮ Kingman's model with random mutation probabilities: convergence and condensation. II ⋮ Study the genetic variation using eta functions

Cites Work

• Addendum to: ``Recombination semigroups on measure spaces
• An introduction to the theory of point processes
• The dynamics of infinitesimally rare alleles, applied to the evolution of mutation rates and the expression of deleterious mutations
• Mutation and recombination with tight linkage
• Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
• A shadowing theorem for ordinary differential equations
• Ising quantum chain and sequence evolution
• A generalized model of mutation-selection balance with applications to aging
• Recombination semigroups on measure spaces
• An approximation theorem for the Poisson binomial distribution
• Probability and Stochastics
• Mutation-Selection Balance with Recombination: Convergence to Equilibrium for Polynomial Selection Costs
• An Exactly Solved Model for Mutation, Recombination and Selection
• Optimal Transport
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