biogroupoids and mathematical models of species evolution
Biogroupoids,
, were introduced as mathematical representations
of
evolving biological species ([1,2]) that are defined by (or `consist of')
weakly equivalent classes of living organisms,
, specified by inter-breeding organisms;in this case, the
weak equivalence relation,
, is defined on the set of evolving organisms modeled in terms of functional,
isomorphic genome networks,
, such as those described by
-logic networks in Łukasiewicz-Moisil,
topoi ([1]).
This biogroupoid concept
allows an algebraic topology formulation of the origin of species and biological evolution
both at organismal/organismic and biomolecular levels; it represents a new approach to biological evolution
from the standpoint of super-complex systems biology.
-
- 1
-
Baianu I. C., Brown R., Georgescu G. and J. F. Glazebrook: 2006, Complex Nonlinear Biodynamics in Categories, Higher Dimensional Algebra and Łukasiewicz-Moisil Topos: Transformations of Neuronal, Genetic and Neoplastic Networks., Axiomathes, 16 Nos. 1-2: 65-122.
- 2
-
Baianu, I.C., R. Brown and J.F. Glazebrook. : 2007, Categorical Ontology of Complex Spacetime Structures: The Emergence of Life and Human Consciousness, Axiomathes, 17: 35-168.
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