HAMILTONIAN MODEL FOR MULTIDIMENSIONAL EPISTASIS

Seher Özçelik and Ayşe Erzan
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Seher Özçelik: Department of Physics, Faculty of Sciences and Letters, Istanbul Technical University, Maslak, Istanbul 80626, Turkey
Ayşe Erzan: Department of Physics, Faculty of Sciences and Letters, Istanbul Technical University, Maslak, Istanbul 80626, Turkey;

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 02, 169-173

Abstract: We propose and solve a Hamiltonian model for multidimensional epistatic interactions between beneficial mutations. The model gives rise to either a phase transition between two equilibrium states, without any coexistence, or exhibits a state where hybrid species 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 defined as the amount of noise in the system.

Keywords: Evolution; phase transitions; bit-string models (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103004310

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