IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v116y2018icp386-391.html
   My bibliography  Save this article

Fractional unstable patterns of energy in α−helix proteins with long-range interactions

Author

Listed:
  • Tabi, Conrad Bertrand

Abstract

Energy transport and storage in α−helix proteins, in the presence of long-range intermolecular interactions, is addressed. The modified discrete Davydov model is first reduced to a space-fractional nonlinear Schrödinger (NLS) equation, followed by the stability analysis of its plane wave solution. The phenomenon is also known as modulational instability and relies on the appropriate balance between nonlinearity and dispersion. The fractional-order parameter (σ), related to the long-range coupling strength, is found to reduce the instability domain, especially in the case 1 ≤ σ < 2. Beyond that interval, i.e., σ > 2, the fractional NLS reduces to the classical cubic NLS equation, whose dispersion coefficient depends on σ. Rogue waves solution for the later are proposed and the biological implications of the account of fractional effects are discussed in the context of energy transport and storage in α−helix proteins.

Suggested Citation

  • Tabi, Conrad Bertrand, 2018. "Fractional unstable patterns of energy in α−helix proteins with long-range interactions," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 386-391.
  • Handle: RePEc:eee:chsofr:v:116:y:2018:i:c:p:386-391
    DOI: 10.1016/j.chaos.2018.09.037
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077918307033
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2018.09.037?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. C.B. Tabi & J.C. Mimshe Fewu & H.P. Ekobena Fouda & A. Mohamadou & T.C. Kofané, 2013. "Nonlinear wave trains in three-strand α-helical protein models," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(9), pages 1-8, September.
    2. R. Ondoua & C. Tabi & H. Ekobena Fouda & A. Mohamadou & T. Kofané, 2012. "Discrete energy transport in the perturbed Ablowitz-Ladik equation for Davydov model of α-helix proteins," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 85(9), pages 1-6, September.
    3. Tabi, C.B. & Dang Koko, A. & Oumarou Doko, R. & Ekobena Fouda, H.P. & Kofané, T.C., 2016. "Modulated charge patterns and noise effect in a twisted DNA model with solvent interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 498-509.
    4. Etémé, Armand S. & Tabi, Conrad B. & Mohamadou, Alidou, 2017. "Synchronized nonlinear patterns in electrically coupled Hindmarsh–Rose neural networks with long-range diffusive interactions," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 813-826.
    5. Daniel, M. & Deepamala, K., 1995. "Davydov soliton in alpha helical proteins: higher order and discreteness effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(1), pages 241-255.
    6. Tabi, C.B. & Maïna, I. & Mohamadou, A. & Ekobena, H.P.F. & Kofané, T.C., 2015. "Long-range intercellular Ca2+ wave patterns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 435(C), pages 1-14.
    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. Tabi, C.B. & Ndjawa, P.A.Y. & Motsumi, T.G. & Bansi, C.D.K. & Kofané, T.C., 2020. "Magnetic field effect on a fractionalized blood flow model in the presence of magnetic particles and thermal radiations," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

    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. Daniel, M. & Latha, M.M., 1997. "Soliton in discrete and continuum alpha helical proteins with higher-order excitations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 240(3), pages 526-546.
    2. Yin, Xiangxin & Dai, Haifeng & Zhao, Lingzhi & Zhao, Donghua & Xiao, Rui & Sun, Yongzheng, 2024. "Control costs of long-range interacting multi-agent systems with noise perturbation," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    3. Budzinski, R.C. & Boaretto, B.R.R. & Prado, T.L. & Lopes, S.R., 2019. "Temperature dependence of phase and spike synchronization of neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 35-42.
    4. Li, Bo & Liang, Houjun & He, Qizhi, 2021. "Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    5. Nikitiuk, Aleksandr S. & Bayandin, Yuriy V. & Naimark, Oleg B., 2022. "Statistical thermodynamics of DNA with open states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    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:chsofr:v:116:y:2018:i:c:p:386-391. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.