Muller's ratchet clicks in finite time

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:123

Article

Audiffren, Julien¹  Pardoux, Etienne¹ 

[1] Aix Marseille Univ, F-13453 Marseille 13, France

关键词: Fleming-Viot process;    Accumulation of deleterious mutations;    Infinite dimensional SDEs;   

DOI  :  10.1016/j.spa.2013.02.008

来源: Elsevier

【 摘 要 】

We consider the accumulation of deleterious mutations in an asexual population, a phenomenon known as Muller's ratchet, using the continuous time model proposed by Alison et al. (2009) [4]. We show that for any parameter lambda > 0 (the rate at which mutations occur), for any alpha > 0 (the toxicity of the mutations) and for any size N > 0 of the population, the ratchet clicks a.s. in finite time. That is to say the minimum number of deleterious mutations in the population goes to infinity a.s. (C) 2013 Elsevier B.V. All rights reserved.

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