Algebraic computation of genetic patterns related to three-dimensional evolution algebras
| Autor: | Falcón, Óscar J., Falcón, Raúl M., Núñez, Juan |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Applied Mathematics and Computation 319 (2018) 510-517 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.amc.2017.05.045 |
| Popis: | 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 one-dimensional annihilator. Comment: 17 pages. . Accepted for publication in Applied Mathematics and Computation |
| Databáze: | arXiv |
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