Wave propagation of coupled modes in the DNA double helix

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Author list: Tabi CB, Fouda HPE, Mohamadou A, Kofane TC

Publisher: IOP Publishing

Place: BRISTOL

Publication year: 2011

Journal: Physica Scripta (0031-8949)

Journal acronym: PHYS SCRIPTA

Volume number: 83

Issue number: 3

Number of pages: 7

ISSN: 0031-8949

eISSN: 1402-4896

Languages: English-Great Britain (EN-GB)

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Abstract

The remarkable dynamics of waves propagating along the DNA molecule is described by the coupled nonlinear Schrodinger equations. We consider both the single and the coupled nonlinear excitation modes and, under numerical simulations of the Peyrard-Bishop model, with the use of realistic values of parameters, their biological implications are studied. Furthermore, the characteristics of the coupled mode solution are discussed and we show that such a solution can describe the local opening observed within the transcription and the replication phenomena.

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