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Previous theoretical or general approaches (Rosen, 1960; Shcherbik and Buchatsky, 2007) to the problems of Quantum Genetics and Molecular Evolution are considered in this article from the point of view of Quantum Automata Theory first published by the author in 1971 (Baianu,1971a, b) , and further developed in several recent articles (Baianu, 1977, 1983, 1987, 2004, 2011).The representation of genomes and Interactome networks in categories of manyvalued logic LMn –algebras that are naturally transformed during biological evolution, or evolve through interactions with the environment provide a new insight into the mechanisms of molecular evolution, as well as organismal evolution, in terms of sequences of quantum automata. Phenotypic changes are expressed only when certain environmentallyinduced quantummolecular changes are coupled with an internal restructuring of major submodules of the genome and Interactome networks related to cell cycling and cell growth. Contrary to the commonly held view of `standard’ Darwinist models of evolution, the evolution of organisms and species occurs through coupled multimolecular transformations induced not only by the environment but actually realized through internal reorganizations of genome and interactome networks. The biological, evolutionary processes involve certain epigenetic transformations that are responsible for phenotypic expression of the genome and Interactome transformations initiated at the quantummolecular level. It can thus be said that only quantum genetics can provide correct explanations of evolutionary processes that are initiated at the quantum—multimolecular levels and propagate to the higher levels of organismal and species evolution. Biological evolution should be therefore regarded as a multiscale process which is initiated by underlying quantum (coupled) multimolecular transformations of the genomic and interactomic networks, followed by specific phenotypic transformations at the level of organism and the variable biogroupoids associated with the evolution of species which are essential to the survival of the species. The theoretical framework introduced in this article also paves the way to a Quantitative Biology approach to biological evolution at the quantummolecular, as well as at the organismal and species levels. This is quite a substantial modification of the `established’ modern Darwinist, and also of several socalled `molecular evolution’ theories.
 http://archive.org/details/LukasiewiczmoisilManyvaluedLogicAlgebrasOfHighlycomplexSystems_106

Baianu,
I.C.
Professor
ibaianu@illinois.edu
Automata Theory, Classical Sequential Machines, Bioinformatics, Complex Biological Systems, Complex Systems Biology (CSB), Computer Simulations and Modeling, Dynamical Systems , Quantum Dynamics, Quantum Field Theory, Quantum Groups, Topological Quantum Field Theory (TQFT), Quantum Automata, Cognitive Systems, Graph Transformations, Logic, Mathematical Modeling; applications of the Theory of Categories, Functors and Natural Transformations, pushouts, pullbacks, presheaves, sheaves, Categories of sheaves, Topoi, nvalued Logic, enriched and Ncategories, higher dimensional algebra, Homotopy theory, applications to physical theories, complex systems biology, bioengineering, informatics, Bioinformatics, Computer simulations, Mathematical Biology of complex systems, Dynamical Systems in Biology, Bioengineering, Computing, Neurosciences, Bioinformatics, biological and/or social networks, quantitative ecology, Quantitative Biology
A new, multiscale theory of evolution involving quantum automata and categories of LMnalgebraic logic of molecular class variables (mcv's). Quantum multimolecular processes involved in natural transformations of genomes and interactomes during the course of evolutionary processes initiated at the quantummolecular level and emerging as selected phenotypes at the organsimal/organsismic and species, higher levels.
This new theory of evolution is of interest to geneticists, molecular biology, bioinformatics, biotechnology and cancer researchers as well as ecologists and mathematical or theoretical biologists studying population genetics and population biology.
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Quantum Genetics and Quantum Automata Models of QuantumMolecular Selection Processes Involved in the Evolution of Organisms and Species
submitted
20120331
Additional updates and followup publications are expected to be completed and published in 2012.
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