Modulational instability in DNA model with competing short- and long-range dispersive interactions

Conrad Bertrand Tabi, Alidou Mohamadou, Timoleon Crepin Kofané

    Research output: Contribution to journalArticle

    8 Citations (Scopus)

    Abstract

    We study the modulational instability (MI) in the Peyrard-Bishop (PB) model of DNA dynamics, with short-range interaction, due to the stacking of base pairs, and long-range interaction, due to the finite dipole moment of the bonds within each base pair. Within the framework of the linear stability analysis, a critical value of the long-range coupling constant is found and, it is shown that, below this critical value, the system displays as the Klein-Gordon chain while, above the critical value, one can appreciate the influence of the dipole - dipole interactions. The study is supported by numerical analysis which confirms analytical predictions. Energy localization via MI is also investigated.

    Original languageEnglish
    Pages (from-to)89-96
    Number of pages8
    JournalJournal of Bionanoscience
    Volume2
    Issue number2
    DOIs
    Publication statusPublished - Dec 2008

    Fingerprint

    Base Pairing
    DNA
    Linear stability analysis
    Dipole moment
    Numerical analysis

    All Science Journal Classification (ASJC) codes

    • Biotechnology
    • Biomedical Engineering
    • Biomaterials

    Cite this

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    title = "Modulational instability in DNA model with competing short- and long-range dispersive interactions",
    abstract = "We study the modulational instability (MI) in the Peyrard-Bishop (PB) model of DNA dynamics, with short-range interaction, due to the stacking of base pairs, and long-range interaction, due to the finite dipole moment of the bonds within each base pair. Within the framework of the linear stability analysis, a critical value of the long-range coupling constant is found and, it is shown that, below this critical value, the system displays as the Klein-Gordon chain while, above the critical value, one can appreciate the influence of the dipole - dipole interactions. The study is supported by numerical analysis which confirms analytical predictions. Energy localization via MI is also investigated.",
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    Modulational instability in DNA model with competing short- and long-range dispersive interactions. / Tabi, Conrad Bertrand; Mohamadou, Alidou; Kofané, Timoleon Crepin.

    In: Journal of Bionanoscience, Vol. 2, No. 2, 12.2008, p. 89-96.

    Research output: Contribution to journalArticle

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    AB - We study the modulational instability (MI) in the Peyrard-Bishop (PB) model of DNA dynamics, with short-range interaction, due to the stacking of base pairs, and long-range interaction, due to the finite dipole moment of the bonds within each base pair. Within the framework of the linear stability analysis, a critical value of the long-range coupling constant is found and, it is shown that, below this critical value, the system displays as the Klein-Gordon chain while, above the critical value, one can appreciate the influence of the dipole - dipole interactions. The study is supported by numerical analysis which confirms analytical predictions. Energy localization via MI is also investigated.

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