title: On the discrete Peyrard-Bishop model of DNA: stationary solutions and stability.
abstract: As a first step in the search of an analytical study of mechanical denaturation of DNA in terms of the sequence, we study stable, stationary solutions in the discrete, finite, and homogeneous Peyrard-Bishop DNA model. We find and classify all the stationary solutions of the model, as well as analytic approximations of them, both in the continuum and in the discrete limits. Our results explain the structure of the solutions reported by Theodorakopoulos et al. [Phys. Rev. Lett. 93, 258101 (2004)] and provide a way to proceed to the analysis of the generalized version of the model incorporating the genetic information.
authors.affiliation: Grupo Interdisciplinar de Sistemas Complejos (GISC) and Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Madrid, Spain. scuenda@math.uc3m.es
authors.forename: Sara
authors.initials: S
authors.lastname: Cuenda
authors.forename: Angel
authors.initials: A
authors.lastname: Sánchez
mesh_terms: D003198:Computer Simulation; D004247:DNA / Q000737:chemistry* / Q000648:ultrastructure*; D004548:Elasticity; D008956:Models, Chemical; D008958:Models, Molecular; D009690:Nucleic Acid Conformation; D009691:Nucleic Acid Denaturation; D013314:Stress, Mechanical
chemical_list: D004247:DNA