Acoustic and Optical Soliton Excitations in the Peyrard-Bishop Model of DNA Dynamics with Alternating A-T and G-C Base Pairs
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.
Document Type: Research Article
Publication date: November 1, 2008
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