title: Long-range interactions and wave patterns in a DNA model.
abstract: 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.
authors.affiliation: Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon. contab408@hotmail.com
authors.forename: C B
authors.initials: CB
authors.lastname: Tabi
authors.forename: A
authors.initials: A
authors.lastname: Mohamadou
authors.forename: T C
authors.initials: TC
authors.lastname: Kofané
mesh_terms: D020029:Base Pairing; D004247:DNA / Q000737:chemistry*; D008962:Models, Theoretical; D017711:Nonlinear Dynamics
chemical_list: D004247:DNA