Add to ORKGWe propose a spin-like model of DNA nonlinear dynamics with long-range interactions be-tween adjacent base pairs. We show that the model equation is a modified sine-Gordon equa-tion. 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. 1
We study nonlinear dynamics of the DNA molecule relying on a helicoidal Peyrard-Bishop model. We loo...
This review deals with ideas and approaches to nonlinear phenomena, based on different branches of p...
Invited paper, in the series "Open Problems" of NonlinearityInternational audienceWhen it is viewed ...
We propose a spin-like model of DNA nonlinear dynamics with long-range interactions between adjacent...
We consider a model called the coupled sine-Gordon equation for DNA dynamics by introducing two doub...
The dynamics of waves propagating along the DNA molecule is described by the coupled nonlinear Schro...
Most of the studies on mathematical models of DNA are limited to next neighbor interaction. However,...
Abstract: We discuss nonlinear dynamic models for the fluctuational opening of the base pairs in DNA...
The model by Peyrard - Bishop - Dauxois (the PBD model), which describes the DNA molecule nonlinear ...
In this article, the mathematical modeling of DNA vibration dynamics has been considered that descri...
The dynamics of α-helical proteins with interspine coupling by taking into account long-ra...
Abstract. Two models for energy and charge transport and storage in biomolecules are considered. A m...
In the framework of a recently introduced model of DNA torsional dynamics, we argued — on the basis...
In this work we analyze the possibility that the soliton dynamics in a simple nonlinear model allows...
We study the e ects of the sequence on the propagation of nonlinear excitations in simple models of ...
We study nonlinear dynamics of the DNA molecule relying on a helicoidal Peyrard-Bishop model. We loo...
This review deals with ideas and approaches to nonlinear phenomena, based on different branches of p...
Invited paper, in the series "Open Problems" of NonlinearityInternational audienceWhen it is viewed ...
We propose a spin-like model of DNA nonlinear dynamics with long-range interactions between adjacent...
We consider a model called the coupled sine-Gordon equation for DNA dynamics by introducing two doub...
The dynamics of waves propagating along the DNA molecule is described by the coupled nonlinear Schro...
Most of the studies on mathematical models of DNA are limited to next neighbor interaction. However,...
Abstract: We discuss nonlinear dynamic models for the fluctuational opening of the base pairs in DNA...
The model by Peyrard - Bishop - Dauxois (the PBD model), which describes the DNA molecule nonlinear ...
In this article, the mathematical modeling of DNA vibration dynamics has been considered that descri...
The dynamics of α-helical proteins with interspine coupling by taking into account long-ra...
Abstract. Two models for energy and charge transport and storage in biomolecules are considered. A m...
In the framework of a recently introduced model of DNA torsional dynamics, we argued — on the basis...
In this work we analyze the possibility that the soliton dynamics in a simple nonlinear model allows...
We study the e ects of the sequence on the propagation of nonlinear excitations in simple models of ...
We study nonlinear dynamics of the DNA molecule relying on a helicoidal Peyrard-Bishop model. We loo...
This review deals with ideas and approaches to nonlinear phenomena, based on different branches of p...
Invited paper, in the series "Open Problems" of NonlinearityInternational audienceWhen it is viewed ...