Modulated wave packets in DNA and impact of viscosity

Conrad Bertrand Tabi, Alidou Mohamadou, Timoleon Crepin Kofané

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We study the nonlinear dynamics of a DNA molecular system at physiological temperature in a viscous media by using the Peyrard-Bishop model. The nonlinear dynamics of the above system is shown to be governed by the discrete complex Ginzburg-Landau equation. In the non-viscous limit, the equation reduces to the nonlinear Schrödinger equation. Modulational instability criteria are derived for both the cases. On the basis of these criteria, numerical simulations are made, which confirm the analytical predictions. The planar wave solution used as the initial condition makes localized oscillations of base pairs and causes energy localization. The results also show that the viscosity of the solvent in the surrounding damps out the amplitude of wave patterns.

Original languageEnglish
Article number068703
JournalChinese Physics Letters
Volume26
Issue number6
DOIs
Publication statusPublished - 2009

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wave packets
deoxyribonucleic acid
viscosity
Landau-Ginzburg equations
nonlinear equations
oscillations
causes
predictions
simulation
temperature
energy

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Tabi, Conrad Bertrand ; Mohamadou, Alidou ; Kofané, Timoleon Crepin. / Modulated wave packets in DNA and impact of viscosity. In: Chinese Physics Letters. 2009 ; Vol. 26, No. 6.
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Modulated wave packets in DNA and impact of viscosity. / Tabi, Conrad Bertrand; Mohamadou, Alidou; Kofané, Timoleon Crepin.

In: Chinese Physics Letters, Vol. 26, No. 6, 068703, 2009.

Research output: Contribution to journalArticle

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