Modulational instability and pattern formation on DNA dynamics with viscosity

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

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We report on the analytical and numerical investigation of modulational instability in discrete nonlinear chains, taking the Peyrard-Bishop model of DNA dynamics as an example. It is shown that the original difference differential equation for the DNA dynamics can be reduced to the discrete complex Ginzburg-Landau equation. We derive the modulational instability criterion in this case. Numerical simulations show the validity of the analytical approach with the generation of wave packets provided that the wave number fall in the instability domain. We also show that, modulational instability leads to spontaneous localization of energy in DNA molecule.

Original languageEnglish
Pages (from-to)647-654
Number of pages8
JournalJournal of Computational and Theoretical Nanoscience
Volume5
Issue number4
DOIs
Publication statusPublished - Apr 1 2008

Fingerprint

Modulational Instability
Pattern Formation
Viscosity
DNA
deoxyribonucleic acid
viscosity
Difference-differential Equations
Complex Ginzburg-Landau Equation
Wave Packet
Discrete Equations
Numerical Investigation
Wave packets
Landau-Ginzburg equations
Molecules
wave packets
Numerical Simulation
Differential equations
differential equations
Energy
Computer simulation

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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Modulational instability and pattern formation on DNA dynamics with viscosity. / Tabi, Conrad B.; Mohamadou, Alidou; Kofané, Timoléon C.

In: Journal of Computational and Theoretical Nanoscience, Vol. 5, No. 4, 01.04.2008, p. 647-654.

Research output: Contribution to journalArticle

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AB - We report on the analytical and numerical investigation of modulational instability in discrete nonlinear chains, taking the Peyrard-Bishop model of DNA dynamics as an example. It is shown that the original difference differential equation for the DNA dynamics can be reduced to the discrete complex Ginzburg-Landau equation. We derive the modulational instability criterion in this case. Numerical simulations show the validity of the analytical approach with the generation of wave packets provided that the wave number fall in the instability domain. We also show that, modulational instability leads to spontaneous localization of energy in DNA molecule.

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