Interplay of nonlinearity and geometry in a DNA-related, Klein-Gordon model with long-range dipole-dipole interaction

J. F.R. Archilla, Peter Leth Christiansen, Yuri Borisovich Gaididei

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    Abstract

    Most of the studies on mathematical models of DNA are limited to next neighbor interaction. However, the coupling between base pairs is thought to be caused by dipole interaction, and, when the DNA strand is bent, the distances between base pairs become shorter, therefore the interactions with distant base pairs have to be taken into account. In this, paper we analyze the existence and stability of breathers, i.e., localized oscillations in a simple model of bent DNA with long-range dipole interaction. Breathers have been suggested as precursors of the denaturation bubble.
    Original languageEnglish
    JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
    Volume65
    Issue number1
    Pages (from-to)016609
    ISSN1063-651X
    DOIs
    Publication statusPublished - 2002

    Bibliographical note

    Copyright (2002) American Physical Society

    Keywords

    • LINEAR-STABILITY
    • DISCRETE BREATHERS
    • LATTICES
    • EXISTENCE
    • LOCALIZED MODES

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