Algebraic computation of genetic patterns related to three-dimensional evolution algebras

The mitosis process of an eukaryotic cell can be represented by the structure constants of an evolution algebra. Any isotopism of the latter corresponds to a mutation of genotypes of the former. This paper uses Computational Algebraic Geometry to determine the distribution of three-dimensional evolu...

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Detalles Bibliográficos
Autores: Falcón Ganfornina, Óscar Jesús, Falcón Ganfornina, Raúl Manuel, Núñez Valdés, Juan
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2018
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/66657
Acceso en línea:http://hdl.handle.net/11441/66657
https://doi.org/10.1016/j.amc.2017.05.045
Access Level:acceso abierto
Palabra clave:Computational algebraic geometry
Evolution algebra
Classification
Isotopism
Isomorphism
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spelling Algebraic computation of genetic patterns related to three-dimensional evolution algebrasFalcón Ganfornina, Óscar JesúsFalcón Ganfornina, Raúl ManuelNúñez Valdés, JuanComputational algebraic geometryEvolution algebraClassificationIsotopismIsomorphismThe mitosis process of an eukaryotic cell can be represented by the structure constants of an evolution algebra. Any isotopism of the latter corresponds to a mutation of genotypes of the former. This paper uses Computational Algebraic Geometry to determine the distribution of three-dimensional evolution algebras over any field into isotopism classes and hence, to describe the spectrum of genetic patterns of three distinct genotypes during a mitosis process. Their distribution into isomorphism classes is also determined in case of dealing with algebras having a onedimensional annihilator.ElsevierMatemática Aplicada IGeometría y TopologíaFQM016: Códigos, Diseños, Criptografía y OptimizaciónFQM326: Geometría Diferencial y Teoría de Lie2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/66657https://doi.org/10.1016/j.amc.2017.05.045reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésApplied Mathematics and Computation, 319, 510-517.https://ac.els-cdn.com/S0096300317303466/1-s2.0-S0096300317303466-main.pdf?_tid=2bc9ce26-d110-11e7-99d0-00000aab0f27&acdnat=1511525484_4552d984bb2f57616145b01b4306b9cbinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/666572026-06-17T12:51:07Z
dc.title.none.fl_str_mv Algebraic computation of genetic patterns related to three-dimensional evolution algebras
title Algebraic computation of genetic patterns related to three-dimensional evolution algebras
spellingShingle Algebraic computation of genetic patterns related to three-dimensional evolution algebras
Falcón Ganfornina, Óscar Jesús
Computational algebraic geometry
Evolution algebra
Classification
Isotopism
Isomorphism
title_short Algebraic computation of genetic patterns related to three-dimensional evolution algebras
title_full Algebraic computation of genetic patterns related to three-dimensional evolution algebras
title_fullStr Algebraic computation of genetic patterns related to three-dimensional evolution algebras
title_full_unstemmed Algebraic computation of genetic patterns related to three-dimensional evolution algebras
title_sort Algebraic computation of genetic patterns related to three-dimensional evolution algebras
dc.creator.none.fl_str_mv Falcón Ganfornina, Óscar Jesús
Falcón Ganfornina, Raúl Manuel
Núñez Valdés, Juan
author Falcón Ganfornina, Óscar Jesús
author_facet Falcón Ganfornina, Óscar Jesús
Falcón Ganfornina, Raúl Manuel
Núñez Valdés, Juan
author_role author
author2 Falcón Ganfornina, Raúl Manuel
Núñez Valdés, Juan
author2_role author
author
dc.contributor.none.fl_str_mv Matemática Aplicada I
Geometría y Topología
FQM016: Códigos, Diseños, Criptografía y Optimización
FQM326: Geometría Diferencial y Teoría de Lie
dc.subject.none.fl_str_mv Computational algebraic geometry
Evolution algebra
Classification
Isotopism
Isomorphism
topic Computational algebraic geometry
Evolution algebra
Classification
Isotopism
Isomorphism
description The mitosis process of an eukaryotic cell can be represented by the structure constants of an evolution algebra. Any isotopism of the latter corresponds to a mutation of genotypes of the former. This paper uses Computational Algebraic Geometry to determine the distribution of three-dimensional evolution algebras over any field into isotopism classes and hence, to describe the spectrum of genetic patterns of three distinct genotypes during a mitosis process. Their distribution into isomorphism classes is also determined in case of dealing with algebras having a onedimensional annihilator.
publishDate 2018
dc.date.none.fl_str_mv 2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/66657
https://doi.org/10.1016/j.amc.2017.05.045
url http://hdl.handle.net/11441/66657
https://doi.org/10.1016/j.amc.2017.05.045
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Applied Mathematics and Computation, 319, 510-517.
https://ac.els-cdn.com/S0096300317303466/1-s2.0-S0096300317303466-main.pdf?_tid=2bc9ce26-d110-11e7-99d0-00000aab0f27&acdnat=1511525484_4552d984bb2f57616145b01b4306b9cb
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
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