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Corpus ID: 2670618

Effects of long-range dispersion in nonlinear dynamics of DNA molecules

@article{Gaididei1999EffectsOL,
title={Effects of long-range dispersion in nonlinear dynamics of DNA molecules},
author={Yuri B. Gaididei and Sergei F. Mingaleev and Peter Leth Christiansen and Magnus Johansson and Kim {\O}. Rasmussen},
journal={arXiv: Biological Physics},
year={1999}
}

A discrete nonlinear Schrodinger (NLS) model with long-range dispersive interactions describing the dynamical structure of DNA is proposed. Dispersive interactions of two types: the power dependence $r^{-s}$ and the exponential dependence $e^{-\beta r}$ on the distance, $r$, are studied. For $s$ less than some critical value, $s_{cr}$, and similarly for $\beta \leq \beta_{cr}$ there is an interval of bistability where two stable stationary states: narrow, pinned states and broad, mobile states… Expand

The authors' simulations based on the stochastic difference equation with length algorithm show that a short DNA oligomer will tend to unwind and overstretch during the B-Z transition, and it is shown that the chain sense reversal progresses spontaneously using the stretched intermediate model.Expand

In this article, we study an explicit scheme for the solution of sine‐Gordon equation when the space discretization is carried out by an overlapping multidomain pseudo‐spectral technique. By using… Expand

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It must be difficult to write a good collection of formulas and theorems; it surely is difficult to review one. This book is not meant for reading: It quotes theorem upon theorem without proof and… Expand