Stationary Solutions for a Modified Peyrard-Bishop DNA Model with Up to Third-neighbor Interactions

Overview

Journal Eur Phys J E Soft Matter

Publisher EDP Sciences

Specialty Biophysics

Date 2010 Jun 18

PMID 20556463

Authors

Z Rapti

Affiliations

Soon will be listed here.

Abstract

We investigate a DNA model that takes into account stacking interactions with neighbors up to three bases away. The model is a generalization of the well-known Peyrard-Bishop (PB) model and is motivated by studies that suggest that nearest-neighbor models for base-pair interaction in a DNA chain might not be enough to capture the mechanism and dynamics of DNA base-pair opening. We study stationary solutions of the modified model and investigate their stability. A comparison with the PB model reveals that under a wide range of parameter values the main characteristics of the original model --such as the hyperbolicity of the equilibrium at the origin-- are preserved, but new types of stationary solutions emerge.

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