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arXiv · 1212.0376

Nonlinear DNA dynamics: nonlinearity versus dispersion

Slobodan Zdravković·Miljko V. Satarić
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Abstract

In the present paper we study the impact of dispersion and nonlinearity on DNA dynamics. We rely on the helicoidal Peyrard-Bishop model and use the fact that nonlinear DNA dynamics represents an interplay between nonlinearity and dispersion. We state that a dispersion coefficient and a coefficient of nonlinearity, existing in nonlinear Schrödinger equation, are mutually dependent and show how function and can be obtained. Also, we show how all this can be used to find a possible interval for the parameter describing helicoidal structure of DNA.

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Slobodan Zdravković, Miljko V. Satarić. 2012-12-03. Nonlinear DNA dynamics: nonlinearity versus dispersion. https://arxiv.org/abs/1212.0376

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