Muller's ratchet with compensatory mutations

DOI10.1214/11-AAP836zbMath1251.92035arXiv1108.4059OpenAlexW3099723715MaRDI QIDQ691118

P. R. Staab, Peter Pfaffelhuber, Anton Wakolbinger

Publication date: 29 November 2012

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4059

zbMATH Keywords

selectionFleming-Viot processback mutationGirsanov transforms

Mathematics Subject Classification ID

Problems related to evolution (92D15) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (4)

Quasi-equilibria and click times for a variant of Muller's ratchet ⋮ Mutational meltdown in asexual populations doomed to extinction ⋮ Muller's ratchet clicks in finite time ⋮ Effect of drift, selection and recombination on the equilibrium frequency of deleterious mutations

Cites Work

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• The accumulation of mutations in asexual populations and the structure of genealogical trees in the presence of selection
• Muller's ratchet clicks in finite time
• How often does the ratchet click? Facts, heuristics, asymptotics
• Fleming–Viot Processes in Population Genetics
• A Fleming-Viot process with unbounded selection
• Stochastic Equations in Infinite Dimensions

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