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| Format: | Artículo científico |
| Language: | en |
| Published: |
Sociedad Mexicana de Física A.C.
2004
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| Online Access: | https://www.redalyc.org/articulo.oa?id=57062812 |
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| _version_ | 1866558546117656576 |
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| author | C. Chryssomalakos |
| author_facet | C. Chryssomalakos |
| contents | Coarse graining in genetic dynamics: A renormalization group analysis of a simple genetic system C. Chryssomalakos C.R. Stephens Adolfo Zamora Física, Astronomía y Matemáticas Mutation Selection Evolution Coarse graining Genetic Dynamics We show how the idea of coarse graining can be applied fruitfully to the area of genetic dynamics, both in the context of effective theories -leading to more appropriate effective degrees of freedom with which to describe the dynamics - as well as in terms of integrating out degreesof freedom, using the Renormalization Group as a systematic calculational scheme. Specializing to dynamics in the presence of selectionand mutation we show how the Renormalization Group can be implemented at the level of a transfer matrix-type description. Further, wepresent an explicit exact RG transformation for the simple case of a one gene-two allele system, solving for its fixed points and the asymptoticbehaviour of the system in the vicinity of these fixed points. 2004 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57062812 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.Re4 Vol.50 |
| format | Artículo científico |
| id | redalyc_57062812 |
| language | en |
| publishDate | 2004 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Coarse graining in genetic dynamics: A renormalization group analysis of a simple genetic system C. Chryssomalakos Física, Astronomía y Matemáticas Mutation Selection Evolution Coarse graining Genetic Dynamics Coarse graining in genetic dynamics: A renormalization group analysis of a simple genetic system C. Chryssomalakos C.R. Stephens Adolfo Zamora Física, Astronomía y Matemáticas Mutation Selection Evolution Coarse graining Genetic Dynamics We show how the idea of coarse graining can be applied fruitfully to the area of genetic dynamics, both in the context of effective theories -leading to more appropriate effective degrees of freedom with which to describe the dynamics - as well as in terms of integrating out degreesof freedom, using the Renormalization Group as a systematic calculational scheme. Specializing to dynamics in the presence of selectionand mutation we show how the Renormalization Group can be implemented at the level of a transfer matrix-type description. Further, wepresent an explicit exact RG transformation for the simple case of a one gene-two allele system, solving for its fixed points and the asymptoticbehaviour of the system in the vicinity of these fixed points. 2004 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57062812 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.Re4 Vol.50 |
| title | Coarse graining in genetic dynamics: A renormalization group analysis of a simple genetic system |
| topic | Física, Astronomía y Matemáticas Mutation Selection Evolution Coarse graining Genetic Dynamics |
| url | https://www.redalyc.org/articulo.oa?id=57062812 |