Soliton-like excitation in a nonlinear model of DNA dynamics with viscosity

Conrad Bertrand Tabi, Alidou Mohamadou, Timoleon Crepin Kofane

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

The study of solitary wave solutions is of prime significance for nonlinear physical systems. The Peyrard-Bishop model for DNA dynamics is generalized specifically to include the difference among bases pairs and viscosity. The small amplitude dynamics of the model is studied analytically and reduced to a discrete complex Ginzburg-Landau (DCGL) equation. Exact solutions of the obtained wave equation are obtained by the mean of the extended Jacobian elliptic function approach. These amplitude solutions are made of bubble solitons. The propagation of a soliton-like excitation in a DNA is then investigated through numerical integration of the motion equations. We show that discreteness can drastically change the soliton shape. The impact of viscosity as well as elasticity on DNA dynamic is also presented. The profile of solitary wave structures as well as the energy which is initially evenly distributed over the lattice are displayed for some fixed parameters.

Original languageEnglish
Pages (from-to)205-216
Number of pages12
JournalMathematical Biosciences and Engineering
Volume5
Issue number1
Publication statusPublished - Jan 1 2008

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Nonlinear Dynamics
nonlinear models
Solitons
Viscosity
Nonlinear Model
viscosity
DNA
Excitation
Jacobian Elliptic Function
Complex Ginzburg-Landau Equation
Solitary Wave Solution
Elasticity
bubbles
Discrete Equations
elasticity (mechanics)
Solitary Waves
Base Pairing
dynamic models
Numerical integration
Bubble

All Science Journal Classification (ASJC) codes

  • Medicine(all)
  • Modelling and Simulation
  • Agricultural and Biological Sciences(all)
  • Computational Mathematics
  • Applied Mathematics

Cite this

Tabi, Conrad Bertrand ; Mohamadou, Alidou ; Kofane, Timoleon Crepin. / Soliton-like excitation in a nonlinear model of DNA dynamics with viscosity. In: Mathematical Biosciences and Engineering. 2008 ; Vol. 5, No. 1. pp. 205-216.
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Soliton-like excitation in a nonlinear model of DNA dynamics with viscosity. / Tabi, Conrad Bertrand; Mohamadou, Alidou; Kofane, Timoleon Crepin.

In: Mathematical Biosciences and Engineering, Vol. 5, No. 1, 01.01.2008, p. 205-216.

Research output: Contribution to journalArticle

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