Dynamics of DNA Bubble in Viscous Medium

TL;DR

This paper investigates how viscosity affects DNA bubble dynamics, showing that solitary waves persist without viscosity but vanish quickly when viscous damping is present, using a nonlinear Schrödinger equation approach.

Contribution

It introduces a damped nonlinear Schrödinger equation model for DNA bubble dynamics and analyzes the impact of viscosity on solitary wave propagation.

Findings

Solitary waves persist in non-viscous conditions.

Viscous forces cause solitary waves to vanish quickly.

The model provides insights into DNA bubble behavior in viscous environments.

Abstract

The damping effect to the DNA bubble is investigated within the Peyrard-Bishop model. In the continuum limit, the dynamics of the bubble of DNA is described by the damped nonlinear Schrodinger equation and studied by means of variational method. It is shown that the propagation of solitary wave pattern is not vanishing in a non-viscous system. Inversely, the solitary wave vanishes soon as the viscous force is introduced.