biogroupoids: mathematical models of species evolution

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0.1 Introduction

Biogroupoids, $\mathcal{G_{B}}$ , were introduced as mathematical representations of evolving biological species ([1, 2]) generated by weakly equivalent classes of living organisms, $E_{O}$ , specified by inter-breeding organisms;in this case, a 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, ${\mathcal{L}M}_{n}$ topoi ([1]).

0.2 AT-Formulation

This 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.

References

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.

Title	biogroupoids: mathematical models of species evolution
Canonical name	BiogroupoidsMathematicalModelsOfSpeciesEvolution
Date of creation	2013-03-22 18:11:47
Last modified on	2013-03-22 18:11:47
Owner	bci1 (20947)
Last modified by	bci1 (20947)
Numerical id	48
Author	bci1 (20947)
Entry type	Topic
Classification	msc 00A05
Classification	msc 92B05
Classification	msc 03G20
Classification	msc 92D15
Synonym	mathematical model of species
Synonym	origin of species
Related topic	SupercategoriesOfComplexSystems
Related topic	AlgebraicCategoryOfLMnLogicAlgebras
Related topic	RosettaGroupoids
Defines	biogroupoid