Acoustic and optical soliton excitations in the Peyrard-Bishop model of DNA dynamics with alternating A-T and G-C base pairs

Conrad B. Tabi, Alidou Mohamadou, Timoléon C. Kofané

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

With an attempt to describe DNA dynamics in a more realistic way, we introduce an extended Peyrard-Bishop (PB) model which takes into account the possible alternation between AT and GC pairs. The out-of-phase motion is then described by a set of coupled discrete differential equations which implies the existence of optical and acoustic modes. Through the semi-discrete approximation, a complex Ginzburg-Landau (CGL) equation describes the dynamics of the base pairs. It is shown that, the more probable DNA dynamics occurs the optical mode, since it has a deep influence in energy exchange and collision phenomena.

Original languageEnglish
Pages (from-to)2201-2209
Number of pages9
JournalJournal of Computational and Theoretical Nanoscience
Volume5
Issue number11
DOIs
Publication statusPublished - Nov 1 2008

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Optical Solitons
Solitons
Acoustics
DNA
deoxyribonucleic acid
Excitation
solitary waves
acoustics
excitation
Complex Ginzburg-Landau Equation
Discrete Approximation
Landau-Ginzburg equations
Alternation
alternations
Discrete Equations
Probable
Differential equations
differential equations
Collision
energy transfer

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Computational Mathematics
  • Electrical and Electronic Engineering

Cite this

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Acoustic and optical soliton excitations in the Peyrard-Bishop model of DNA dynamics with alternating A-T and G-C base pairs. / Tabi, Conrad B.; Mohamadou, Alidou; Kofané, Timoléon C.

In: Journal of Computational and Theoretical Nanoscience, Vol. 5, No. 11, 01.11.2008, p. 2201-2209.

Research output: Contribution to journalArticle

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