biogroupoids: mathematical models of species evolution



0.1 Introduction

Biogroupoids, 𝒢, were introduced as mathematical representations of evolving biological species ([1, 2]) generated by weakly equivalent classes of living organisms, EO, specified by inter-breeding organisms;in this case, a weak equivalence relationMathworldPlanetmathPlanetmathPlanetmath, w, is defined on the set of evolving organisms modeled in terms of functionalPlanetmathPlanetmathPlanetmath, isomorphicPlanetmathPlanetmathPlanetmath genome networks, GisoN, such as those described by LMn-logic networks in Łukasiewicz-Moisil, Mn 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 systemsPlanetmathPlanetmathPlanetmath biology.


  • 1 Baianu I. C., Brown R., Georgescu G. and J. F. Glazebrook: 2006, Complex Nonlinear Biodynamics in CategoriesMathworldPlanetmath, Higher Dimensional AlgebraPlanetmathPlanetmath and Łukasiewicz-Moisil Topos: TransformationsPlanetmathPlanetmath 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 StructuresMathworldPlanetmath: 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