dorsal/arxiv
View SchemaMaximum principle and mutation thresholds for four-letter sequence evolution
| Authors | Tini Garske, Uwe Grimm |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0406041 |
| URL | https://arxiv.org/abs/q-bio/0406041 |
| DOI | 10.1088/1742-5468/2004/07/P07007 |
| Journal | JSTAT (2004) P07007 |
Abstract
A four-state mutation-selection model for the evolution of populations of DNA-sequences is investigated with particular interest in the phenomenon of error thresholds. The mutation model considered is the Kimura 3ST mutation scheme, fitness functions, which determine the selection process, come from the permutation-invariant class. Error thresholds can be found for various fitness functions, the phase diagrams are more interesting than for equivalent two-state models. Results for (small) finite sequence lengths are compared with those for infinite sequence length, obtained via a maximum principle that is equivalent to the principle of minimal free energy in physics.
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"abstract": "A four-state mutation-selection model for the evolution of populations of\nDNA-sequences is investigated with particular interest in the phenomenon of\nerror thresholds. The mutation model considered is the Kimura 3ST mutation\nscheme, fitness functions, which determine the selection process, come from the\npermutation-invariant class. Error thresholds can be found for various fitness\nfunctions, the phase diagrams are more interesting than for equivalent\ntwo-state models. Results for (small) finite sequence lengths are compared with\nthose for infinite sequence length, obtained via a maximum principle that is\nequivalent to the principle of minimal free energy in physics.",
"arxiv_id": "q-bio/0406041",
"authors": [
"Tini Garske",
"Uwe Grimm"
],
"categories": [
"q-bio.PE"
],
"doi": "10.1088/1742-5468/2004/07/P07007",
"journal_ref": "JSTAT (2004) P07007",
"title": "Maximum principle and mutation thresholds for four-letter sequence evolution",
"url": "https://arxiv.org/abs/q-bio/0406041"
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