IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v298y2001i3p351-370.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437101002631
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(01)00263-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.
    2. Daniel, M. & Beula, J., 2009. "Soliton spin excitations in a Heisenberg helimagnet," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1842-1848.
    3. 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).
    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.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:298:y:2001:i:3:p:351-370. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.