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biogroupoids and mathematical models of species evolution (Topic)

Biogroupoids and mathematical models of species evolution

Introduction

Biogroupoids, $\mathcal{G_B}$, were introduced as mathematical representations of evolving biological species ([1,2]) that are defined by (or `consist of') weakly equivalent classes of living organisms, $E_O$, specified by inter-breeding organisms;in this case, the weak equivalence relation, $\sim_w$, is defined on the set of evolving organisms modeled in terms of functional, isomorphic genome networks, $G_{iso}^N$, such as those described by $LM_n$-logic networks in Łukasiewicz-Moisil, $\mathcal{L}M$ topoi ([1]).

AT-Formulation

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.

Bibliography

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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Keywords:  biogroupoids and mathematical models of species evolution

Cross-references: systems biology, algebraic topology, concept, equivalence relation, representations

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Physics Classification: 02. (Mathematical methods in physics)
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