Artículo
Algebraic computation of genetic patterns related to three-dimensional evolution algebras
Autor/es | Falcón Ganfornina, Óscar Jesús
Falcón Ganfornina, Raúl Manuel Núñez Valdés, Juan |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2018-02-15 |
Fecha de depósito | 2017-11-24 |
Publicado en |
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Resumen | 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 ... 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. |
Cita | Falcón Ganfornina, Ó.J., Falcón Ganfornina, R.M. y Núñez Valdés, J. (2018). Algebraic computation of genetic patterns related to three-dimensional evolution algebras. Applied Mathematics and Computation, 319, 510-517. |
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