Discrete instability in the DNA double helix

Conrad Bertrand Tabi, Alidou Mohamadou, Timoléon Crépin Kofané

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

Modulational instability (MI) is explored in the framework of the base-rotor model of DNA dynamics. We show, in fact, that the helicoidal coupling introduced in the spin model of DNA reduces the system to a modified discrete sine-Gordon (sG) equation. The MI criterion is thus modified and displays interesting features because of the helicoidal coupling. In the simulations, we have found that a train of pulses is generated when the lattice is subjected to MI, in agreement with analytical results obtained in a modified discrete sG equation. Also, the competitive effects of the harmonic longitudinal and helicoidal constants on the dynamics of the system are notably pointed out. In the same way, it is shown that MI can lead to energy localization which becomes high for some values of the helicoidal coupling constant.

Original languageEnglish
Article number043101
JournalChaos
Volume19
Issue number4
DOIs
Publication statusPublished - Jan 1 2009

Fingerprint

Modulational Instability
Helix
helices
DNA
deoxyribonucleic acid
sine-Gordon equation
Sine-Gordon Equation
Discrete Equations
Spin Models
Rotor
rotors
Rotors
Harmonic
harmonics
pulses
Energy
Simulation
simulation
energy

All Science Journal Classification (ASJC) codes

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

Cite this

Tabi, C. B., Mohamadou, A., & Kofané, T. C. (2009). Discrete instability in the DNA double helix. Chaos, 19(4), [043101]. https://doi.org/10.1063/1.3234244
Tabi, Conrad Bertrand ; Mohamadou, Alidou ; Kofané, Timoléon Crépin. / Discrete instability in the DNA double helix. In: Chaos. 2009 ; Vol. 19, No. 4.
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Tabi, CB, Mohamadou, A & Kofané, TC 2009, 'Discrete instability in the DNA double helix', Chaos, vol. 19, no. 4, 043101. https://doi.org/10.1063/1.3234244

Discrete instability in the DNA double helix. / Tabi, Conrad Bertrand; Mohamadou, Alidou; Kofané, Timoléon Crépin.

In: Chaos, Vol. 19, No. 4, 043101, 01.01.2009.

Research output: Contribution to journalArticle

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AB - Modulational instability (MI) is explored in the framework of the base-rotor model of DNA dynamics. We show, in fact, that the helicoidal coupling introduced in the spin model of DNA reduces the system to a modified discrete sine-Gordon (sG) equation. The MI criterion is thus modified and displays interesting features because of the helicoidal coupling. In the simulations, we have found that a train of pulses is generated when the lattice is subjected to MI, in agreement with analytical results obtained in a modified discrete sG equation. Also, the competitive effects of the harmonic longitudinal and helicoidal constants on the dynamics of the system are notably pointed out. In the same way, it is shown that MI can lead to energy localization which becomes high for some values of the helicoidal coupling constant.

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