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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/15167
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| Title: | On the discrete Peyrard-Bishop model of DNA: stationary solutions and stability |
| Author(s): | Cuenda, Sara
Sánchez, Angel |
| Publisher: | American Institute of Physics |
| Issued date: | Jun-2006 |
| Citation: | Chaos, vol. 16, n. 2, jun. 2006, 8 págs |
| URI: | http://hdl.handle.net/10016/15167 |
| ISSN: | 1054-1500 (print version)
1089-7682 (online version) |
| DOI: | 10.1063/1.2194468 |
| 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. |
| Sponsor: | 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 |
| Publisher version: | http://dx.doi.org/10.1063/1.2194468 |
| Appears in Collections: | DM - GISC - Artículos de Revistas
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