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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

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.
Year of publication:
2012
Authors: LeMesurier, Brenton
Published in:
Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 82.2012, 7, p. 1239-1248
Publisher: Elsevier
Subject: Conservative time discretizations | Hamiltonian systems | Protein energetics | Nonlinear wave equations
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Type of publication: Article
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Persistent link: https://www.econbiz.de/10011051006
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