title: Stationary solutions for a modified Peyrard-Bishop DNA model with up to third-neighbor interactions.
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.
authors.affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801-2975, USA. zrapti@illinois.edu
authors.forename: Z
authors.initials: Z
authors.lastname: Rapti
mesh_terms: D004247:DNA / Q000737:chemistry*; D008958:Models, Molecular; D009691:Nucleic Acid Denaturation; D012996:Solutions
chemical_list: D012996:Solutions; D004247:DNA