dorsal/arxiv
View SchemaA maximum principle for the mutation-selection equilibrium of nucleotide sequences
| Authors | Tini Garske, Uwe Grimm |
|---|---|
| Categories | |
| ArXiv ID | physics/0303053 |
| URL | https://arxiv.org/abs/physics/0303053 |
| DOI | 10.1016/j.bulm.2003.08.013 |
| Journal | Bulletin of Mathematical Biology 66 (2004) 397-421 |
Abstract
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.
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"abstract": "We study the equilibrium behaviour of a deterministic four-state\nmutation-selection model as a model for the evolution of a population of\nnucleotide sequences in sequence space. The mutation model is the Kimura 3ST\nmutation scheme, and the selection scheme is assumed to be invariant under\npermutation of sites. Considering the evolution process both forward and\nbackward in time, we use the ancestral distribution as the stationary state of\nthe backward process to derive an expression for the mutational loss (as the\ndifference between ancestral and population mean fitness), and we prove a\nmaximum principle that determines the population mean fitness in\nmutation-selection balance.",
"arxiv_id": "physics/0303053",
"authors": [
"Tini Garske",
"Uwe Grimm"
],
"categories": [
"physics.bio-ph",
"cond-mat.stat-mech",
"q-bio.PE"
],
"doi": "10.1016/j.bulm.2003.08.013",
"journal_ref": "Bulletin of Mathematical Biology 66 (2004) 397-421",
"title": "A maximum principle for the mutation-selection equilibrium of nucleotide sequences",
"url": "https://arxiv.org/abs/physics/0303053"
},
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