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A generalized Davydov soliton model for energy transfer in alpha helical proteins

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  • Daniel, M.
  • Latha, M.M.

Abstract

We propose a generalized Davydov model with higher order molecular interactions and excitations of dipole and quadrupole types with appropriate nonlinear coupling with phonons and study the underlying nonlinear molecular coherent excitations under continuum approximation in terms of solitons to represent energy transfer along the hydrogen bonding spines of the alpha helical proteins. We have identified six specific models at different orders of continuum approximation for particular choice of parameters under this new generalized model that support energy transfer in the form of solitons. In the general case, we have constructed the perturbed soliton and the perturbation analysis shows that the velocity and amplitude of the soliton do not change.

Suggested Citation

  • Daniel, M. & Latha, M.M., 2001. "A generalized Davydov soliton model for energy transfer in alpha helical proteins," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 298(3), pages 351-370.
    • Handle: RePEc:eee:phsmap:v:298:y:2001:i:3:p:351-370
    DOI: 10.1016/S0378-4371(01)00263-1
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    Cited by:

    1. Vakhnenko, Oleksiy O. & Vakhnenko, Vyacheslav O. & Verchenko, Andriy P., 2023. "Dipole–monopole alternative as the precursor of pseudo-excitonic chargeless half-mode in an integrable nonlinear exciton–phonon system on a regular one-dimensional lattice," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    2. 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.
    3. Daniel, M. & Beula, J., 2009. "Soliton spin excitations in a Heisenberg helimagnet," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1842-1848.
    4. Yang, Jun & Fang, Miao-Shuang & Luo, Lin & Ma, Li-Yuan, 2021. "From a generalized discrete NLS equation in discrete alpha helical proteins to the fourth-order NLS equation," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    5. Yassine Benia & Marianna Ruggieri & Andrea Scapellato, 2019. "Exact Solutions for a Modified Schrödinger Equation," Mathematics, MDPI, vol. 7(10), pages 1-9, September.

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