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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