Nonlinear charge transport in the helicoidal DNA molecule.

A. Dang Koko, C. B. Tabi, H. P. Ekobena Fouda, A. Mohamadou, T. C. Kofané

    Research output: Contribution to journalArticle

    18 Citations (Scopus)

    Abstract

    Charge transport in the twist-opening model of DNA is explored via the modulational instability of a plane wave. The dynamics of charge is shown to be governed, in the adiabatic approximation, by a modified discrete nonlinear Schrödinger equation with next-nearest neighbor interactions. The linear stability analysis is performed on the latter and manifestations of the modulational instability are discussed according to the value of the parameter α, which measures hopping interaction correction. In so doing, increasing α leads to a reduction of the instability domain and, therefore, increases our chances of choosing appropriate values of parameters that could give rise to pattern formation in the twist-opening model. Our analytical predictions are verified numerically, where the generic equations for the radial and torsional dynamics are directly integrated. The impact of charge migration on the above degrees of freedom is discussed for different values of α. Soliton-like and localized structures are observed and thus confirm our analytical predictions. We also find that polaronic structures, as known in DNA charge transport, are generated through modulational instability, and hence reinforces the robustness of polaron in the model we study.

    Original languageEnglish
    Article number043110
    Pages (from-to)43110
    Number of pages1
    JournalChaos
    Volume22
    Issue number4
    DOIs
    Publication statusPublished - Oct 4 2012

    Fingerprint

    Modulational Instability
    Charge Transport
    Charge transfer
    DNA
    deoxyribonucleic acid
    Molecules
    Twist
    Charge
    Localized Structures
    Polaron
    molecules
    Prediction
    Linear Stability Analysis
    Discrete Equations
    Pattern Formation
    Interaction
    Plane Wave
    Linear stability analysis
    Migration
    Solitons

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Mathematical Physics
    • Physics and Astronomy(all)
    • Applied Mathematics

    Cite this

    Dang Koko, A., Tabi, C. B., Ekobena Fouda, H. P., Mohamadou, A., & Kofané, T. C. (2012). Nonlinear charge transport in the helicoidal DNA molecule. Chaos, 22(4), 43110. [043110]. https://doi.org/10.1063/1.4766594
    Dang Koko, A. ; Tabi, C. B. ; Ekobena Fouda, H. P. ; Mohamadou, A. ; Kofané, T. C. / Nonlinear charge transport in the helicoidal DNA molecule. In: Chaos. 2012 ; Vol. 22, No. 4. pp. 43110.
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    Dang Koko, A, Tabi, CB, Ekobena Fouda, HP, Mohamadou, A & Kofané, TC 2012, 'Nonlinear charge transport in the helicoidal DNA molecule.', Chaos, vol. 22, no. 4, 043110, pp. 43110. https://doi.org/10.1063/1.4766594

    Nonlinear charge transport in the helicoidal DNA molecule. / Dang Koko, A.; Tabi, C. B.; Ekobena Fouda, H. P.; Mohamadou, A.; Kofané, T. C.

    In: Chaos, Vol. 22, No. 4, 043110, 04.10.2012, p. 43110.

    Research output: Contribution to journalArticle

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    AU - Dang Koko, A.

    AU - Tabi, C. B.

    AU - Ekobena Fouda, H. P.

    AU - Mohamadou, A.

    AU - Kofané, T. C.

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    N2 - Charge transport in the twist-opening model of DNA is explored via the modulational instability of a plane wave. The dynamics of charge is shown to be governed, in the adiabatic approximation, by a modified discrete nonlinear Schrödinger equation with next-nearest neighbor interactions. The linear stability analysis is performed on the latter and manifestations of the modulational instability are discussed according to the value of the parameter α, which measures hopping interaction correction. In so doing, increasing α leads to a reduction of the instability domain and, therefore, increases our chances of choosing appropriate values of parameters that could give rise to pattern formation in the twist-opening model. Our analytical predictions are verified numerically, where the generic equations for the radial and torsional dynamics are directly integrated. The impact of charge migration on the above degrees of freedom is discussed for different values of α. Soliton-like and localized structures are observed and thus confirm our analytical predictions. We also find that polaronic structures, as known in DNA charge transport, are generated through modulational instability, and hence reinforces the robustness of polaron in the model we study.

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    Dang Koko A, Tabi CB, Ekobena Fouda HP, Mohamadou A, Kofané TC. Nonlinear charge transport in the helicoidal DNA molecule. Chaos. 2012 Oct 4;22(4):43110. 043110. https://doi.org/10.1063/1.4766594