Muller’s ratchet clicks in finite time
نویسندگان
چکیده
We consider the accumulation of deleterious mutations in an asexual population, a phenomenon known as Muller’s ratchet, using the continuous time model proposed in [4]. We show that for any parameter λ > 0 ( the rate at which mutations occur), for any α > 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.
منابع مشابه
Biological evolution through mutation, selection, and drift: An introductory review
5 Modelling mutational degeneration 23 5.1 Error thresholds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 5.1.1 The prototype model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 5.1.2 Methods of analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 5.1.3 Characterization of error thresholds . . . . . . . . . . . . . . . . . . . . ....
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