Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2006-08-15
Phys. Rev. E 73 (2006) 041913
Biology
Quantitative Biology
Populations and Evolution
10 pages, 3 figures, 2 tables
Scientific paper
10.1103/PhysRevE.73.041913
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.
Deem Michael W.
Hu Chin-Kun
Munoz Elias
Saakian David B.
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