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Studying Davydov’s ODE model of wave motion in α-helix protein using exactly energy–momentum conserving discretizations for Hamiltonian systems

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  • LeMesurier, Brenton

Abstract

Davydov’s modeling of long-range energetic pulse propagation in α-helix protein started with an exciton–phonon ODE system and proceeded to the integrable nonlinear Schrödinger (NLS) equation in the limit of both large pulse width relative to amino acid spacing and high characteristic speed of the “phonon” terms. Soliton solutions of NLS have then been used to propose a mechanism for coherent long-range propagation of energetic pulses in such proteins.

Suggested Citation

  • LeMesurier, Brenton, 2012. "Studying Davydov’s ODE model of wave motion in α-helix protein using exactly energy–momentum conserving discretizations for Hamiltonian systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(7), pages 1239-1248.
    • Handle: RePEc:eee:matcom:v:82:y:2012:i:7:p:1239-1248
    DOI: 10.1016/j.matcom.2010.11.017
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    1. Kevrekidis, P.G. & Dmitriev, S.V. & Sukhorukov, A.A., 2007. "On a class of spatial discretizations of equations of the nonlinear Schrödinger type," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 74(4), pages 343-351.
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    Cited by:

    1. Georgiev, Danko D. & Glazebrook, James F., 2019. "On the quantum dynamics of Davydov solitons in protein α-helices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 257-269.

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