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Hamiltonian Model For Multidimensional Epistasis

Author

Listed:
  • 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;
    Gürsey Institute, P.O. Box 6, Çengelköy, Istanbul 81220, Turkey)

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.

Suggested Citation

  • Seher Özçelik & Ayşe Erzan, 2003. "Hamiltonian Model For Multidimensional Epistasis," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 169-173.
  • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:02:n:s0129183103004310
    DOI: 10.1142/S0129183103004310
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