Title | ||
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Distribution of the fittest individuals and the rate of Muller's ratchet in a model with overlapping generations. |
Abstract | ||
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Muller's ratchet is a paradigmatic model for the accumulation of deleterious mutations in a population of finite size. A click of the ratchet occurs when all individuals with the least number of deleterious mutations are lost irreversibly due to a stochastic fluctuation. In spite of the simplicity of the model, a quantitative understanding of the process remains an open challenge. In contrast to previous works, we here study a Moran model of the ratchet with overlapping generations. Employing an approximation which describes the fittest individuals as one class and the rest as a second class, we obtain closed analytical expressions of the ratchet rate in the rare clicking regime. As a click in this regime is caused by a rare, large fluctuation from a metastable state, we do not resort to a diffusion approximation but apply an approximation scheme which is especially well suited to describe extinction events from metastable states. This method also allows for a derivation of expressions for the quasi-stationary distribution of the fittest class. Additionally, we confirm numerically that the formulation with overlapping generations leads to the same results as the diffusion approximation and the corresponding Wright-Fisher model with non-overlapping generations. |
Year | DOI | Venue |
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2013 | 10.1371/journal.pcbi.1003303 | PLOS COMPUTATIONAL BIOLOGY |
Keywords | DocType | Volume |
computational biology,mutation | Journal | 9 |
Issue | ISSN | Citations |
11 | 1553-734X | 1 |
PageRank | References | Authors |
0.38 | 2 | 2 |
Name | Order | Citations | PageRank |
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Jakob J Metzger | 1 | 1 | 0.38 |
Stephan Eule | 2 | 1 | 1.06 |