Simple Combined Model for Nonlinear Excitations in DNA

TL;DR

This paper introduces a simple combined model for DNA denaturation that incorporates key parameters influencing unpaired base length and kink velocity, aligning well with previous research findings.

Contribution

A new combined model for DNA denaturation that integrates existing models and accounts for temperature effects on unpaired bases and kink velocity.

Findings

Length of unpaired bases depends on temperature and coupling constant.

Kink velocity is influenced by temperature, coupling, damping, and force.

Model results agree with previous studies.

Abstract

We propose a new simple model for DNA denaturation bases on the pendulum model of Englander\cite{A1} and the microscopic model of Peyrard {\it et al.},\cite{A3} so called "combined model". The main parameters of our model are: the coupling constant $k$ along each strand, the mean stretching $y^\ast$ of the hydrogen bonds, the ratio of the damping constant and driven force $\gamma/F$. We show that both the length $L$ of unpaired bases and the velocity $v$ of kinks depend on not only the coupling constant $k$ but also the temperature $T$. Our results are in good agreement with previous works.