Modulated wave packets in DNA and impact of viscosity

Conrad Bertrand Tabi, Alidou Mohamadou, Timoleon Crepin Kofané

    Research output: Contribution to journalArticle

    16 Citations (Scopus)

    Abstract

    We study the nonlinear dynamics of a DNA molecular system at physiological temperature in a viscous media by using the Peyrard-Bishop model. The nonlinear dynamics of the above system is shown to be governed by the discrete complex Ginzburg-Landau equation. In the non-viscous limit, the equation reduces to the nonlinear Schrödinger equation. Modulational instability criteria are derived for both the cases. On the basis of these criteria, numerical simulations are made, which confirm the analytical predictions. The planar wave solution used as the initial condition makes localized oscillations of base pairs and causes energy localization. The results also show that the viscosity of the solvent in the surrounding damps out the amplitude of wave patterns.

    Original languageEnglish
    Article number068703
    JournalChinese Physics Letters
    Volume26
    Issue number6
    DOIs
    Publication statusPublished - 2009

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    wave packets
    deoxyribonucleic acid
    viscosity
    Landau-Ginzburg equations
    nonlinear equations
    oscillations
    causes
    predictions
    simulation
    temperature
    energy

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy(all)

    Cite this

    Tabi, Conrad Bertrand ; Mohamadou, Alidou ; Kofané, Timoleon Crepin. / Modulated wave packets in DNA and impact of viscosity. In: Chinese Physics Letters. 2009 ; Vol. 26, No. 6.
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    Modulated wave packets in DNA and impact of viscosity. / Tabi, Conrad Bertrand; Mohamadou, Alidou; Kofané, Timoleon Crepin.

    In: Chinese Physics Letters, Vol. 26, No. 6, 068703, 2009.

    Research output: Contribution to journalArticle

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    AU - Tabi, Conrad Bertrand

    AU - Mohamadou, Alidou

    AU - Kofané, Timoleon Crepin

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    AB - We study the nonlinear dynamics of a DNA molecular system at physiological temperature in a viscous media by using the Peyrard-Bishop model. The nonlinear dynamics of the above system is shown to be governed by the discrete complex Ginzburg-Landau equation. In the non-viscous limit, the equation reduces to the nonlinear Schrödinger equation. Modulational instability criteria are derived for both the cases. On the basis of these criteria, numerical simulations are made, which confirm the analytical predictions. The planar wave solution used as the initial condition makes localized oscillations of base pairs and causes energy localization. The results also show that the viscosity of the solvent in the surrounding damps out the amplitude of wave patterns.

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