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Preprints Archive: Abstract of IC2010025 (2010)
Long-range interactions and wave patterns in a DNA model
Document info: Pages 12, Figures 4.
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.