  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.

Rings and Algebras