Long-range interactions and wave patterns in a DNA model.
We propose a spin-like model of DNA nonlinear dynamics with long-range interactions between adjacent base pairs. We show that the model equation is a modified sine-Gordon equation. We perform the linear stability analysis of a plane wave, which predicts high-amplitude and extended oscillating waves for high values of the long-range parameter. This is confirmed numerically and biological implications of the obtained patterns are suggested.
Tabi
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Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon. contab408@hotmail.com
Mohamadou
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A
Kofané
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D020029:Base Pairing; D004247:DNA / Q000737:chemistry*; D008962:Models, Theoretical; D017711:Nonlinear Dynamics
D004247:DNA