Helicoidal model for DNA opening

Details Helicoidal model for DNA opening Helicoidal model for DNA opening

1999-04-19

arxiv.org/abs/chao-dyn/9904032v1

Physics Letters A 253 (1999) 358-369

Nonlinear Sciences

Chaotic Dynamics

8 pages, 11 figures

Scientific paper

10.1016/S0375-9601(99)00059-6

We present a new dynamical model of DNA. This model has two degrees of freedom per base-pair: one radial variable related to the opening of the hydrogen bonds and an angular one related to the twisting of each base-pair responsible for the helicoidal structure of the molecule. The small amplitude dynamics of the model is studied analytically : we derive small amplitude envelope solutions made of a breather in the radial variables combined with a kink in the angular variables, showing the role of the topological constraints associated to the helicoidal geometry. We check the stability of the solutions by numerical integration of the motion equations.

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