Modulational instability in the anharmonic Peyrard-Bishop model of DNA

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Author list: Tabi CB, Mohamadou A, Kofane TC

Publisher: SpringerOpen

Place: NEW YORK

Publication year: 2010

Journal: The European Physical Journal B (1434-6028)

Journal acronym: EUR PHYS J B

Volume number: 74

Issue number: 2

Start page: 151

End page: 158

Number of pages: 8

ISSN: 1434-6028

eISSN: 1434-6036

Languages: English-Great Britain (EN-GB)

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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.

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