Long-range interactions and wave patterns in a DNA model

C. B. Tabi; A. Mohamadou; T. C. Kofané

doi:10.1140/epje/i2010-10627-x

Long-range interactions and wave patterns in a DNA model

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

Physics & Astronomy

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

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.

Original language	English
Pages (from-to)	327-332
Number of pages	6
Journal	European Physical Journal E
Volume	32
Issue number	3
DOIs	https://doi.org/10.1140/epje/i2010-10627-x
Publication status	Published - Jul 1 2010

All Science Journal Classification (ASJC) codes

Materials Science(all)
Surfaces and Interfaces
Chemistry(all)
Biophysics
Biotechnology
Medicine(all)

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10.1140/epje/i2010-10627-x

Cite this

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title = "Long-range interactions and wave patterns in a DNA model",

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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AU - Kofané, T. C.

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AB - 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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Long-range interactions and wave patterns in a DNA model

Abstract

All Science Journal Classification (ASJC) codes

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