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biogroupoids: mathematical models of species evolution
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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  ukasiewicz-Moisil, $\LM$ topoi ([1]).
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.
- 1
- Baianu I. C., Brown R., Georgescu G. and J. F. Glazebrook: 2006, Complex Nonlinear Biodynamics in Categories, Higher Dimensional Algebra and
 ukasiewicz-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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"biogroupoids: mathematical models of species evolution" is owned by bci1. [ full author list (2) ]
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Cross-references: super-complex systems, represents, levels, topology, algebraic, genome networks, isomorphic, functional, terms, relation, weak equivalence, classes, weakly equivalent, generated by, mathematical representations
There are 2 references to this entry.
This is version 45 of biogroupoids: mathematical models of species evolution, born on 2008-07-12, modified 2009-01-25.
Object id is 10773, canonical name is Biogroupoids.
Accessed 1671 times total.
Classification:
| AMS MSC: | 92D15 (Biology and other natural sciences :: Genetics and population dynamics :: Problems related to evolution) | | | 03G20 (Mathematical logic and foundations :: Algebraic logic :: Lukasiewicz and Post algebras) | | | 92B05 (Biology and other natural sciences :: Mathematical biology in general :: General biology and biomathematics) | | | 00A05 (General :: General and miscellaneous specific topics :: General mathematics) |
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Pending Errata and Addenda
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