Hamiltonian model for multidimensional epistasis

Details Hamiltonian model for multidimensional epistasis Hamiltonian model for multidimensional epistasis

2002-07-19

arxiv.org/abs/physics/0207079v2

Physics

Biological Physics

3 pages, 2 figures (in seperate files) spelling corrected and a reference added

Scientific paper

We propose and solve a Hamiltonian model for multidimensional epistastatic interactions between beneficial mutations. The model is able to give rise either to a phase transition between two equilibrium states, without any coexistence, or exhibits a state where hybrid species can coexist, with gradual passage from one wild type to another. The transition takes place as a function of the "tolerance" of the environment, which we define as the amount of noise in the system.

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