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

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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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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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