Quantum Genetics and Quantum Automata Models of Quantum-Molecular Selection Processes Involved in the Evolution of Organisms and Species

Baianu, , Professor I.C. (2012) Quantum Genetics and Quantum Automata Models of Quantum-Molecular Selection Processes Involved in the Evolution of Organisms and Species. [Preprint]

Full text available as:

PDF - Accepted Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.

[img] HTML (version 1 submitted) - Submitted Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.

[img] Other (version 2 selection) - Accepted Version
Available under License Creative Commons Attribution No Derivatives.



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 many-valued 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 environmentally-induced quantum-molecular changes are coupled with an internal re-structuring 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 multi-molecular transformations induced not only by the environment but actually realized through internal re-organizations 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 quantum-molecular level. It can thus be said that only quantum genetics can provide correct explanations of evolutionary processes that are initiated at the quantum—multi-molecular levels and propagate to the higher levels of organismal and species evolution. Biological evolution should be therefore regarded as a multi-scale process which is initiated by underlying quantum (coupled) multi-molecular 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 quantum-molecular, as well as at the organismal and species levels. This is quite a substantial modification of the `established’ modern Darwinist, and also of several so-called `molecular evolution’ theories.

Item Type:Preprint
Additional Information:A new, multi--scale theory of evolution involving quantum automata and categories of LMn-algebraic logic of molecular class variables (mcv's). Quantum multi-molecular processes involved in natural transformations of genomes and interactomes during the course of evolutionary processes initiated at the quantum-molecular 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.
Keywords: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, n-valued Logic, enriched and N-categories, 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
Subjects:Biology > Evolution
Biology > Population Biology
Biology > Theoretical Biology
Computer Science > Complexity Theory
Computer Science > Dynamical Systems
Computer Science > Neural Nets
Computer Science > Statistical Models
Electronic Publishing > Peer Review
Philosophy > Logic
Philosophy > Philosophy of Science
ID Code:8144
Deposited By: Baianu, Professor I. C.
Deposited On:25 Apr 2012 12:30
Last Modified:25 Apr 2012 12:30

References in Article

Select the SEEK icon to attempt to find the referenced article. If it does not appear to be in cogprints you will be forwarded to the paracite service. Poorly formated references will probably not work.

Cited References

Baianu, I.1971a. "Organismic Supercategories and Qualitative Dynamics of Systems." Bull. Math. Biophys., 33: 339-353.

Baianu, I. 1971. Categories, Functors and Automata Theory. The 4th Intl. Congress LMPS, Proceedings, August-Sept. 1971b.

Baianu, I. and Scripcariu, D. 1973. On Adjoint Dynamical Systems. Bull. Math. Biology, 35: 475-486.

Baianu, I. 1973. Some Algebraic Properties of (M,R)-Systems in Categories. Bull. Math. Biophys., 35: 213-218.

Baianu, I. and Marinescu, M. 1974. A Functorial Construction of (M,R)-Systems. Rev. Roum. Math. Pures et Appl., 19: 389-392.

Baianu, I.C. 1977. A Logical Model of Genetic Activities in Lukasiewicz Algebras: The Non-Linear Theory., Bull. Math. Biol.,39:249-258.

Baianu, I.C. 1980. Natural Transformations of Organismic Structures. Bull.Math. Biology, 42:431-446.

Baianu, I.C.1983. Natural Transformations Models in Molecular Biology. SIAM Natl. Meeting, Denver, CO, USA.

Baianu, I.C. 1984. A Molecular-Set-Variable Model of Structural and Regulatory Activities in Metabolic and Genetic Systems., Fed. Proc. Amer. Soc. Experim. Biol. 43:917.

Baianu, I.C. 1987. “Computer Models and Automata Theory in Biology and Medicine” (A Review). In: "Mathematical models in Medicine.",vol.7., M. Witten, Ed., Pergamon Press: New York, pp.1513-1577.

Baianu, I.C. 2004. “Cell Genome and Interactome Nonlinear Dynamic Models in Łukasiewicz Logic Algebras. Neoplastic Transformation Models in a Łukasiewicz Topos.” Cogprints preprint, June 25th, 2004. # GN 0406050.

Baianu, I.C., J. Glazebrook, G. Georgescu and R.Brown, 2006. “A Novel Approach to Complex Systems Biology and Observation Strategies based on Categories, Higher Dimensional Algebra and Łukasiewicz Topos. “ Axiomathes, 16 pp.

Carnap. R. 1938. "'The Logical Syntax of Language" New York: Harcourt, Brace and Co.

Georgescu, G. and C. Vraciu 1970. "On the Characterization of Lukasiewicz Algebras." J. Algebra, 16 (4): 486-495.

Hilbert, D. and W. Ackerman. 1927. Grunduge der Theoretischen Logik, Berlin: Springer.

Levine, Raphael D. (2005). Molecular Reaction Dynamics. Cambridge University Press. ISBN 978-0521842761.

McCulloch, W and W. Pitts. 1943. “A Logical Calculus of Ideas Immanent in Nervous Activity” Bull. Math. Biophys., 5: 115-133.

Rosen, R.1958.a.”A Relational Theory of Biological Systems” Bull. Math. Biophys., 20, 245-260.

Rosen, R. 1958b. “The Representation of Biological Systems from the Standpoint of the Theory of Categories” Bull. Math. Biophys., 20: 317-341.

Rosen, R. 1960. "A quantum-theoretic approach to genetic problems." Bulletin of Mathematical Biophysics, 22: 227-255.

Robert Rosen. 1970. Dynamical Systems Theory in Biology, New York: Wiley Interscience.

Rosen, Robert. 1973. “On the Dynamical realization of (M,R)-Systems.” Bull. Math. Biology., 35: 1-10.

Rosen, Robert. 2001. “Essays on Life Itself “. New York: Columbia University Press, 221 pp.

Russel, Bertrand and A.N. Whitehead, 1925. Principia Mathematica, Cambridge: Cambridge Univ. Press.

Erwin Schrödinger. 1944. What is Life? Cambridge, U.K.

Sergi, Alessandro. 2009. "Quantum Biology". AAPP Physical, Mathematical, and Natural Sciences 87 (1): no. C1C0901001. doi:10.1478/C1C0901001. ISSN 1825-1242.

Shcherbik, V. V. & Buchatsky, L.P. 2007. Quantum Genetics. Enfield, NH : Science Publishers, pp.156.

Scholes , G.S. 2010. "Quantum-Coherent Electronic Energy Transfer: Did Nature Think of It First ?” Journal of Physical Chemistry Letters 1: 2–8. doi:10.1021/jz900062f

Warner, M. 1982. Representations of (M,R)-Systems by Categories of Automata., Bull. Math. Biol., 44:661-668.

Quantum Biology. University of Illinois at Urbana-Champaign, Theoretical and Computational Biophysics Group.

Science Daily Quantum Biology: Powerful Computer Models Reveal Key Biological Mechanism, Retrieved Oct 14, 2007,


Repository Staff Only: item control page