A maximum principle for the mutation--selection equilibrium of nucleotide sequences

Garske, T; Grimm, U; (2004) A maximum principle for the mutation--selection equilibrium of nucleotide sequences. Bulletin of mathematical biology, 66. pp. 397-421. ISSN 0092-8240 DOI: https://doi.org/10.1016/j.bulm.2003.08.013

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We study the equilibrium behaviour of a deterministic four-state mutation-selection model as a model for the evolution of a population of nucleotide sequences in sequence space. The mutation model is the Kimura 3ST mutation scheme, and the selection scheme is assumed to be invariant under permutation of sites. Considering the evolution process both forward and backward in time, we use the ancestral distribution as the stationary state of the backward process to derive an expression for the mutational loss (as the difference between ancestral and population mean fitness), and we prove a maximum principle that determines the population mean fitness in mutation-selection balance.

Item Type: Article
Keywords: Animals, Base Sequence, Genetics, Population, statistics & numerical data, Humans, Models, Genetic, Mutation, genetics, Nucleotides, genetics, Research Support, Non-U.S. Gov't, Selection (Genetics)
Faculty and Department: Faculty of Epidemiology and Population Health > Dept of Infectious Disease Epidemiology
PubMed ID: 15006441
Web of Science ID: 221044900001
URI: http://researchonline.lshtm.ac.uk/id/eprint/11315


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