Energy patterns in twist-opening models of DNA with solvent interactions

Conrad Bertrand Tabi, Grégoire Bineli, Alidou Mohamadou

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    Energy localization, via modulation instability, is addressed in a modified twist-opening model of DNA with solvent interactions. The Fourier expansion method is used to reduce the complex roto-torsional equations of the system to a set of discrete coupled nonlinear Schrödinger equations, which are used to perform the analytical investigation of modulation instability. We find that the instability criterion is highly influenced by the solvent parameters. Direct numerical simulations, performed on the generic model, further confirm our analytical predictions, as solvent interactions bring about highly localized energy patterns. These patterns are also shown to be robust under thermal fluctuations.

    Original languageEnglish
    Pages (from-to)391-408
    Number of pages18
    JournalJournal of Biological Physics
    Volume41
    Issue number4
    DOIs
    Publication statusPublished - Sep 28 2015

    Fingerprint

    deoxyribonucleic acid
    DNA
    modulation
    interactions
    direct numerical simulation
    nonlinear equations
    energy
    Hot Temperature
    expansion
    predictions

    All Science Journal Classification (ASJC) codes

    • Biophysics
    • Atomic and Molecular Physics, and Optics
    • Molecular Biology
    • Cell Biology

    Cite this

    Tabi, Conrad Bertrand ; Bineli, Grégoire ; Mohamadou, Alidou. / Energy patterns in twist-opening models of DNA with solvent interactions. In: Journal of Biological Physics. 2015 ; Vol. 41, No. 4. pp. 391-408.
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    Energy patterns in twist-opening models of DNA with solvent interactions. / Tabi, Conrad Bertrand; Bineli, Grégoire; Mohamadou, Alidou.

    In: Journal of Biological Physics, Vol. 41, No. 4, 28.09.2015, p. 391-408.

    Research output: Contribution to journalArticle

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    AU - Bineli, Grégoire

    AU - Mohamadou, Alidou

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    AB - Energy localization, via modulation instability, is addressed in a modified twist-opening model of DNA with solvent interactions. The Fourier expansion method is used to reduce the complex roto-torsional equations of the system to a set of discrete coupled nonlinear Schrödinger equations, which are used to perform the analytical investigation of modulation instability. We find that the instability criterion is highly influenced by the solvent parameters. Direct numerical simulations, performed on the generic model, further confirm our analytical predictions, as solvent interactions bring about highly localized energy patterns. These patterns are also shown to be robust under thermal fluctuations.

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