Artículo
An Application of Total-Colored Graphs to Describe Mutations in Non-Mendelian Genetics
Autor/es | Falcón Ganfornina, Raúl Manuel
Falcón Ganfornina, Óscar Jesús Núñez Valdés, Juan |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2019 |
Fecha de depósito | 2020-01-16 |
Publicado en |
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Resumen | Any gene mutation during the mitotic cell cycle of a eukaryotic cell can be algebraically
represented by an isotopism of the evolution algebra describing the genetic pattern of the inheritance
process. We identify any ... Any gene mutation during the mitotic cell cycle of a eukaryotic cell can be algebraically represented by an isotopism of the evolution algebra describing the genetic pattern of the inheritance process. We identify any such pattern with a total-colored graph so that any isotopism of the former is uniquely related to an isomorphism of the latter. This enables us to develop some results on graph theory in the context of the molecular processes that occur during the S-phase of a mitotic cell cycle. In particular, each monochromatic subset of edges is identified with a mutation or regulatory mechanism that relates any two statuses of the genotypes of a pair of chromatids. |
Identificador del proyecto | FQM-016
FQM-326 |
Cita | Falcón Ganfornina, R.M., Falcón Ganfornina, Ó.J. y Núñez Valdés, J. (2019). An Application of Total-Colored Graphs to Describe Mutations in Non-Mendelian Genetics. Mathematics, 7 (11), 1068-1-1068-11. |
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