Nonlinear charge transport in the helicoidal DNA molecule.

A. Dang Koko, C. B. Tabi, H. P. Ekobena Fouda, A. Mohamadou, T. C. Kofané

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

Charge transport in the twist-opening model of DNA is explored via the modulational instability of a plane wave. The dynamics of charge is shown to be governed, in the adiabatic approximation, by a modified discrete nonlinear Schrödinger equation with next-nearest neighbor interactions. The linear stability analysis is performed on the latter and manifestations of the modulational instability are discussed according to the value of the parameter α, which measures hopping interaction correction. In so doing, increasing α leads to a reduction of the instability domain and, therefore, increases our chances of choosing appropriate values of parameters that could give rise to pattern formation in the twist-opening model. Our analytical predictions are verified numerically, where the generic equations for the radial and torsional dynamics are directly integrated. The impact of charge migration on the above degrees of freedom is discussed for different values of α. Soliton-like and localized structures are observed and thus confirm our analytical predictions. We also find that polaronic structures, as known in DNA charge transport, are generated through modulational instability, and hence reinforces the robustness of polaron in the model we study.

Original languageEnglish
Article number043110
Pages (from-to)43110
Number of pages1
JournalChaos
Volume22
Issue number4
DOIs
Publication statusPublished - Oct 4 2012

Fingerprint

Modulational Instability
Charge Transport
Charge transfer
DNA
deoxyribonucleic acid
Molecules
Twist
Charge
Localized Structures
Polaron
molecules
Prediction
Linear Stability Analysis
Discrete Equations
Pattern Formation
Interaction
Plane Wave
Linear stability analysis
Migration
Solitons

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

Dang Koko, A., Tabi, C. B., Ekobena Fouda, H. P., Mohamadou, A., & Kofané, T. C. (2012). Nonlinear charge transport in the helicoidal DNA molecule. Chaos, 22(4), 43110. [043110]. https://doi.org/10.1063/1.4766594
Dang Koko, A. ; Tabi, C. B. ; Ekobena Fouda, H. P. ; Mohamadou, A. ; Kofané, T. C. / Nonlinear charge transport in the helicoidal DNA molecule. In: Chaos. 2012 ; Vol. 22, No. 4. pp. 43110.
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Dang Koko, A, Tabi, CB, Ekobena Fouda, HP, Mohamadou, A & Kofané, TC 2012, 'Nonlinear charge transport in the helicoidal DNA molecule.', Chaos, vol. 22, no. 4, 043110, pp. 43110. https://doi.org/10.1063/1.4766594

Nonlinear charge transport in the helicoidal DNA molecule. / Dang Koko, A.; Tabi, C. B.; Ekobena Fouda, H. P.; Mohamadou, A.; Kofané, T. C.

In: Chaos, Vol. 22, No. 4, 043110, 04.10.2012, p. 43110.

Research output: Contribution to journalArticle

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Dang Koko A, Tabi CB, Ekobena Fouda HP, Mohamadou A, Kofané TC. Nonlinear charge transport in the helicoidal DNA molecule. Chaos. 2012 Oct 4;22(4):43110. 043110. https://doi.org/10.1063/1.4766594