Tags
Language
Tags
March 2024
Su Mo Tu We Th Fr Sa
25 26 27 28 29 1 2
3 4 5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22 23
24 25 26 27 28 29 30
31 1 2 3 4 5 6

Critical Population and Error Threshold on the Sharp Peak Landscape for a Moran Model

Posted By: ksveta6
Critical Population and Error Threshold on the Sharp Peak Landscape for a Moran Model

Critical Population and Error Threshold on the Sharp Peak Landscape for a Moran Model (Memoirs of the American Mathematical Society) by Raphael Cerf
2015 | ISBN: 1470409674 | English | 87 pages | PDF | 1 MB

The goal of this work is to propose a finite population counterpart to Eigen's model, which incorporates stochastic effects. The author considers a Moran model describing the evolution of a population of size m of chromosomes of length over an alphabet of cardinality ?. The mutation probability per locus is q. He deals only with the sharp peak landscape: the replication rate is s>1 for the master sequence and 1 for the other sequences. He studies the equilibrium distribution of the process in the regime where ? 8,m? 8,q?0, q?a?]0, 8[,m?a?[0, 8].