Export file:

Format

  • RIS(for EndNote,Reference Manager,ProCite)
  • BibTex
  • Text

Content

  • Citation Only
  • Citation and Abstract

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

1. Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P. O. Box 812, Yaounde
2. Condensed Matter Physics Laboratory, Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157, Douala

   

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 vis- cosity. The small amplitude dynamics of the model is studied analytically and reduced to a discrete complex Ginzburg-Landau (DCGL) equation. Ex- act 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.
  Figure/Table
  Supplementary
  Article Metrics

Keywords bubble soliton; DNA dynamics; density energy.; discrete complex Ginzburg-Landau equation; Jacobian elliptic functions

Citation: Conrad Bertrand Tabi, Alidou Mohamadou, Timoleon Crepin Kofane. Soliton-like excitation in a nonlinear model of DNA dynamics with viscosity. Mathematical Biosciences and Engineering, 2008, 5(1): 205-216. doi: 10.3934/mbe.2008.5.205

 

This article has been cited by

  • 1. H. Ngoubi, G. H. Ben-Bolie, T. C. Kofané, Charge transport in DNA model with vibrational and rotational coupling motions, Journal of Biological Physics, 2017, 43, 3, 341, 10.1007/s10867-017-9455-6
  • 2. Armand S. Etémé, Conrad B. Tabi, Alidou Mohamadou, Synchronized nonlinear patterns in electrically coupled Hindmarsh–Rose neural networks with long-range diffusive interactions, Chaos, Solitons & Fractals, 2017, 104, 813, 10.1016/j.chaos.2017.09.037
  • 3. C.B. Tabi, T.G. Motsumi, C.D. Bansi Kamdem, A. Mohamadou, Nonlinear excitations of blood flow in large vessels under thermal radiations and uniform magnetic field, Communications in Nonlinear Science and Numerical Simulation, 2017, 49, 1, 10.1016/j.cnsns.2017.01.024
  • 4. Slobodan Zdravković, Miljko V. Satarić, Ljupčo Hadžievski, DNA-RNA transcription as an impact of viscosity, Chaos: An Interdisciplinary Journal of Nonlinear Science, 2010, 20, 4, 043141, 10.1063/1.3529360
  • 5. E S Shikhovtseva, V N Nazarov, Dynamics of conformational switchings of bistable quasi-one-dimensional macromolecules with nonlinear longitudinal stretching present, Journal of Physics A: Mathematical and Theoretical, 2013, 46, 22, 225202, 10.1088/1751-8113/46/22/225202
  • 6. Conrad Bertrand Tabi, Alidou Mohamadou, Timoléon Crépin Kofané, Modulational instability and exact soliton solutions for a twist-opening model of DNA dynamics, Physics Letters A, 2009, 373, 29, 2476, 10.1016/j.physleta.2009.04.052
  • 7. Christel D. Bansi Kamdem, Conrad B. Tabi, Alidou Mohamadou, Dissipative Mayer’s waves in fluid-filled viscoelastic tubes, Chaos, Solitons & Fractals, 2018, 109, 170, 10.1016/j.chaos.2018.02.023
  • 8. V. Vasumathi, M. Daniel, Base-pair opening and bubble transport in a DNA double helix induced by a protein molecule in a viscous medium, Physical Review E, 2009, 80, 6, 10.1103/PhysRevE.80.061904
  • 9. H. Ngoubi, G. H. Ben-Bolie, T. C. Kofané, Charge transport in a DNA model with solvent interaction, Journal of Biological Physics, 2018, 10.1007/s10867-018-9503-x
  • 10. Armand Sylvin Etémé, Conrad Bertrand Tabi, Jean Felix Beyala Ateba, Henri Paul Fouda Ekobena, Alidou Mohamadou, Timoléon Crepin Kofane, Neuronal firing and DNA dynamics in a neural network, Journal of Physics Communications, 2018, 2, 12, 125004, 10.1088/2399-6528/aaf3f7
  • 11. C. B. Tabi, A. Mohamadou, T. C. Kofane, Modulational instability in the anharmonic Peyrard-Bishop model of DNA, The European Physical Journal B, 2010, 74, 2, 151, 10.1140/epjb/e2010-00062-1
  • 12. Joseph Brizar Okaly, Fabien II Ndzana, Rosalie Laure Woulaché, Conrad Bertrand Tabi, Timoléon Crépin Kofané, Base pairs opening and bubble transport in damped DNA dynamics with transport memory effects, Chaos: An Interdisciplinary Journal of Nonlinear Science, 2019, 29, 9, 093103, 10.1063/1.5098341
  • 13. Joseph Brizar Okaly, Fabien II Ndzana, Rosalie Laure Woulaché, Timoléon Crépin Kofané, Solitary wavelike solutions in nonlinear dynamics of damped DNA systems, The European Physical Journal Plus, 2019, 134, 12, 10.1140/epjp/i2019-12992-3

Reader Comments

your name: *   your email: *  

Copyright Info: 2008, , licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

Download full text in PDF

Export Citation

Copyright © AIMS Press All Rights Reserved