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

Author

Listed:
  • Falcón, O.J.
  • Falcón, R.M.
  • Núñez, J.

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.

Suggested Citation

  • Falcón, O.J. & Falcón, R.M. & Núñez, J., 2018. "Algebraic computation of genetic patterns related to three-dimensional evolution algebras," Applied Mathematics and Computation, Elsevier, vol. 319(C), pages 510-517.
    • Handle: RePEc:eee:apmaco:v:319:y:2018:i:c:p:510-517
    DOI: 10.1016/j.amc.2017.05.045
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