On the discrete Peyrard-Bishop model of DNA: stationary solutions and stability

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dc.contributor.author Cuenda, Sara
dc.contributor.author Sánchez, Angel
dc.date.accessioned 2012-08-31T11:48:49Z
dc.date.available 2012-08-31T11:48:49Z
dc.date.issued 2006-06
dc.identifier.bibliographicCitation Chaos, vol. 16, n. 2, jun. 2006, 8 págs
dc.identifier.issn 1054-1500 (print version)
dc.identifier.issn 1089-7682 (online version)
dc.identifier.uri http://hdl.handle.net/10016/15167
dc.description.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.
dc.description.sponsorship This work has been supported by the Ministerio de Educación y Ciencia of Spain through grants BFM2003-07749-C05-01, FIS2004- 01001, and NAN2004-09087-C03-03. S. C. is supported by a fellowship from the Consejería de Educación de la Comunidad Autónoma de Madrid and the Fondo Social Europeo
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher American Institute of Physics
dc.title On the discrete Peyrard-Bishop model of DNA: stationary solutions and stability
dc.type article
dc.description.status Publicado
dc.relation.publisherversion http://dx.doi.org/10.1063/1.2194468
dc.subject.eciencia Matemáticas
dc.identifier.doi 10.1063/1.2194468
dc.rights.accessRights openAccess
dc.type.version publishedVersion
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