Acoustic and Optical Soliton Excitations in the Peyrard-Bishop Model of DNA Dynamics with Alternating A-T and G-C Base Pairs

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Publication Details

Author list: Tabi CB, Mohamadou A, Kofane TC

Publisher: American Scientific Publishers

Place: VALENCIA

Publication year: 2008

Journal acronym: J COMPUT THEOR NANOS

Volume number: 5

Issue number: 11

Start page: 2201

End page: 2209

Number of pages: 9

ISSN: 1546-1955

eISSN: 1546-1963

Languages: English-Great Britain (EN-GB)


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Abstract

With an attempt to describe DNA dynamics in a more realistic way, we introduce an extended Peyrard-Bishop (PB) model which takes into account the possible alternation between AT and GC pairs. The out-of-phase motion is then described by a set of coupled discrete differential equations which implies the existence of optical and acoustic modes. Through the semi-discrete approximation, a complex Ginzburg-Landau (CGL) equation describes the dynamics of the base pairs. It is shown that, the more probable DNA dynamics occurs in the optical mode, since it has a deep influence in energy exchange and collision phenomena.


Keywords

Bubble, Complex Ginzburg-Landau (CGL) Equation, Hirota's Method, Replication


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Last updated on 2023-31-07 at 00:44