English

Nonlinear DNA dynamics: nonlinearity versus dispersion

Biological Physics 2012-12-04 v1

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 Schr\"odinger 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.

Keywords

Cite

@article{arxiv.1212.0376,
  title  = {Nonlinear DNA dynamics: nonlinearity versus dispersion},
  author = {Slobodan Zdravković and Miljko V. Satarić},
  journal= {arXiv preprint arXiv:1212.0376},
  year   = {2012}
}

Comments

3 figures

R2 v1 2026-06-21T22:47:48.737Z