Long-range interactions and wave patterns in a DNA model

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Author list: Tabi CB, Mohamadou A, Kofane TC

Publisher: SPRINGER

Place: NEW YORK

Publication year: 2010

Journal acronym: EUR PHYS J E

Volume number: 32

Issue number: 3

Start page: 327

End page: 332

Number of pages: 6

ISSN: 1292-8941

Languages: English-Great Britain (EN-GB)

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Abstract

We propose a spin-like model of DNA nonlinear dynamics with long-range interactions between adjacent base pairs. We show that the model equation is a modified sine-Gordon equation. We perform the linear stability analysis of a plane wave, which predicts high-amplitude and extended oscillating waves for high values of the long-range parameter. This is confirmed numerically and biological implications of the obtained patterns are suggested.

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