PlanetPhysics/Biogroupoids and Mathematical Models of Species Evolution
Biogroupoids and mathematical models of species evolution
Introduction
Biogroupoids , , were introduced as mathematical \htmladdnormallink{representations {http://planetphysics.us/encyclopedia/CategoricalGroupRepresentation.html} of evolving biological species} ([1]) that are defined by (or `consist of') weakly equivalent classes of living organisms , , specified by inter-breeding organisms;in this case, the weak [[../TrivialGroupoid/|equivalence relation]], , is defined on the set of evolving organisms modeled in terms of functional, isomorphic genome networks , , such as those described by -logic networks in \L{}ukasiewicz-Moisil, topoi ([1]).
AT-Formulation
This biogroupoid [[../PreciseIdea/|concept]] allows an [[../CubicalHigherHomotopyGroupoid/|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 [[../SystemsBiology/|systems biology]].
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References
- ↑ 1.0 1.1 1.2 Baianu I. C., Brown R., Georgescu G. and J. F. Glazebrook: 2006, Complex Nonlinear Biodynamics in Categories, Higher Dimensional Algebra and \L ukasiewicz-Moisil Topos: Transformations of Neuronal, Genetic and Neoplastic Networks., Axiomathes , 16 Nos. 1-2: 65-122.
- ↑ Baianu, I.C., R. Brown and J.F. Glazebrook. : 2007, Categorical Ontology of Complex Spacetime Structures: The Emergence of Life and Human Consciousness, Axiomathes, \textbf {17}: 35-168.