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

O.J. Falcón, R.M. Falcón and J. Núñez

Applied Mathematics and Computation, 2018, vol. 319, issue C, 510-517

Abstract: 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.

Keywords: Computational Algebraic Geometry; Evolution algebra; Classification; Isotopism; Isomorphism (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:319:y:2018:i:c:p:510-517

DOI: 10.1016/j.amc.2017.05.045

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