biogroupoids: mathematical models of species evolution
\xyoptioncurve
0.1 Introduction
Biogroupoids, ${\mathcal{G}}_{\mathcal{B}}$, 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 $L{M}_{n}$-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 |