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

18 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

All Science Journal Classification (ASJC) codes

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

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