IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v517y2019icp257-269.html
   My bibliography  Save this article

On the quantum dynamics of Davydov solitons in protein α-helices

Author

Listed:
  • Georgiev, Danko D.
  • Glazebrook, James F.

Abstract

The transport of energy inside protein α-helices is studied by deriving a system of quantum equations of motion from the Davydov Hamiltonian with the use of the Schrödinger equation and the generalized Ehrenfest theorem. Numerically solving the system of quantum equations of motion for different initial distributions of the amide I energy over the peptide groups confirmed the generation of both moving or stationary Davydov solitons. In this simulation the soliton generation, propagation, and stability were found to be dependent on the symmetry of the exciton–phonon interaction Hamiltonian and the initial site of application of the exciton energy.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:517:y:2019:i:c:p:257-269
    DOI: 10.1016/j.physa.2018.11.026
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437118314432
    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/j.physa.2018.11.026?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.

    References listed on IDEAS

    as
    1. Jingxi Luo & Bernard M. A. G. Piette, 2017. "A generalised Davydov-Scott model for polarons in linear peptide chains," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(8), pages 1-21, August.
    2. 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.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    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. "Quantum tunneling of Davydov solitons through massive barriers," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 275-293.
    2. Georgiev, Danko D. & Glazebrook, James F., 2022. "Thermal stability of solitons in protein α-helices," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    3. Yassine Benia & Marianna Ruggieri & Andrea Scapellato, 2019. "Exact Solutions for a Modified Schrödinger Equation," Mathematics, MDPI, vol. 7(10), pages 1-9, September.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yassine Benia & Marianna Ruggieri & Andrea Scapellato, 2019. "Exact Solutions for a Modified Schrödinger Equation," Mathematics, MDPI, vol. 7(10), pages 1-9, September.
    2. Georgiev, Danko D. & Glazebrook, James F., 2022. "Thermal stability of solitons in protein α-helices," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    3. 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).
    4. Daniel, M. & Beula, J., 2009. "Soliton spin excitations in a Heisenberg helimagnet," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1842-1848.
    5. Georgiev, Danko D. & Glazebrook, James F., 2019. "Quantum tunneling of Davydov solitons through massive barriers," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 275-293.
    6. 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).

    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:517:y:2019:i:c:p:257-269. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.