dorsal/arxiv
View SchemaQuasispecies Theory for Multiple-Peak Fitness Landscapes
| Authors | D. B. Saakian, E. Munoz, Chin-Kun Hu, M. W. Deem |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0608029 |
| URL | https://arxiv.org/abs/q-bio/0608029 |
| DOI | 10.1103/PhysRevE.73.041913 |
| Journal | Phys. Rev. E 73 (2006) 041913 |
Abstract
We use a path integral representation to solve the Eigen and Crow-Kimura molecular evolution models for the case of multiple fitness peaks with arbitrary fitness and degradation functions. In the general case, we find that the solution to these molecular evolution models can be written as the optimum of a fitness function, with constraints enforced by Lagrange multipliers and with a term accounting for the entropy of the spreading population in sequence space. The results for the Eigen model are applied to consider virus or cancer proliferation under the control of drugs or the immune system.
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"abstract": "We use a path integral representation to solve the Eigen and Crow-Kimura\nmolecular evolution models for the case of multiple fitness peaks with\narbitrary fitness and degradation functions. In the general case, we find that\nthe solution to these molecular evolution models can be written as the optimum\nof a fitness function, with constraints enforced by Lagrange multipliers and\nwith a term accounting for the entropy of the spreading population in sequence\nspace. The results for the Eigen model are applied to consider virus or cancer\nproliferation under the control of drugs or the immune system.",
"arxiv_id": "q-bio/0608029",
"authors": [
"D. B. Saakian",
"E. Munoz",
"Chin-Kun Hu",
"M. W. Deem"
],
"categories": [
"q-bio.PE",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevE.73.041913",
"journal_ref": "Phys. Rev. E 73 (2006) 041913",
"title": "Quasispecies Theory for Multiple-Peak Fitness Landscapes",
"url": "https://arxiv.org/abs/q-bio/0608029"
},
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