Modulational instability in the anharmonic Peyrard-Bishop model of DNA

C. B. Tabi, A. Mohamadou, T. C. Kofane

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

We report on the presence of modulational instability and the generation of soliton-like excitations in DNA nucleotides. Taking the Peyrard-Bishop-Dauxois model of DNA dynamics as an example, we show that the original difference equation for the DNA dynamics can be reduced to the Salerno equation. We derive the MI criterion in this case. The effect of the anharmonic stacking term on the domain of instability/stability is pointed out. Numerical simulations show the validity of the analytical approach with the generation of wave packets provided that the wave numbers fall in the instability domain. The impact of the anharmonic stacking interactions is investigated and these are found to give rise to a spectrum of behaviours which corroborates experimental facts.

Original languageEnglish
Pages (from-to)151-158
Number of pages8
JournalEuropean Physical Journal B
Volume74
Issue number2
DOIs
Publication statusPublished - Mar 1 2010

Fingerprint

DNA
deoxyribonucleic acid
Wave packets
difference equations
nucleotides
Difference equations
Nucleotides
Solitons
wave packets
solitary waves
Computer simulation
excitation
simulation
interactions

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Tabi, C. B. ; Mohamadou, A. ; Kofane, T. C. / Modulational instability in the anharmonic Peyrard-Bishop model of DNA. In: European Physical Journal B. 2010 ; Vol. 74, No. 2. pp. 151-158.
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Modulational instability in the anharmonic Peyrard-Bishop model of DNA. / Tabi, C. B.; Mohamadou, A.; Kofane, T. C.

In: European Physical Journal B, Vol. 74, No. 2, 01.03.2010, p. 151-158.

Research output: Contribution to journalArticle

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