creators_name: Baianu, Ion creators_id: icb editors_name: Landahl, H.D. type: confpaper datestamp: 2004-07-06 lastmod: 2011-03-11 08:55:37 metadata_visibility: show title: NATURAL TRANSFORMATION MODELS IN MOLECULAR BIOLOGY ispublished: pub subjects: comp-sci-mach-dynam-sys subjects: comp-sci-complex-theory subjects: comp-sci-art-intel subjects: bio-theory full_text_status: public keywords: Quantum Automata and Quantum Computation, Quantum Dynamics in terms of The Theory of Categories, Functors and Natural Transformations,Natural Transformations in Molecular Biology, Protein Biosynthesis Models, Embryogenesis models, Models of Nuclear Transplant Experiments in terms of Natural Transformations, Uni-molecular and multi-molecular transformations, Variable-Molecular-sets, molecular-set-variable (MSVs), Natural Transformations in Molecular Evolution note: New approaches to realization of Relational Biology Modeling of Complex System Biology in terms of Natural Transformations between Functors of Molecular Categories; Future developments will include: FUZZY RELATIONS ; Categories of Lukasiewicz Logic Algebras and Intuitionistic Logic Algebras for Modeling of Complex Neural Network Processes; STOCHASTIC, GENETIC NETWORKS in Lukn, L-ALGEBRAS; Relational Biology Models of Complex HORMONAL CONTROL and other METABOLIC PROCESSES. New approaches to realization of Relational Biology Modeling of Complex System Biology in terms of Natural Transformations between Functors of Molecular Categories; Future developments will include: FUZZY RELATIONS ; Categories of Lukasiewicz Logic Algebras and Intuitionistic Logic Algebras for Modeling of Complex Neural Network Processes; STOCHASTIC, GENETIC NETWORKS in Lukn, L-ALGEBRAS; Relational Biology Models of Complex HORMONAL CONTROL and other METABOLIC PROCESSES. abstract: Molecular models in terms of Categories, Functors and Natural Transformations are introduced for unimolecular chemical transformations, multi-molecular chemical and biochemical transformations. Novel approaches to realization of Relational Biology Models of Complex System Biology are introduced in terms of Natural Transformations between Functors of Molecular Categories. Several applications of such natural transformations are then presented to protein biosynthesis, embryogenesis and nuclear transplant experiments. Other possible realizations in Molecular Biology and Relational Biology of Organisms are also suggested. Future developments will include: Fuzzy Relations in Biology; Categories of Lukasiewicz Logic Algebras and Intuitionistic Logic Algebras for Modeling of Complex Neural Network Processes; Stochastic, Genetic Networks in Lukn-Algebras, and Relational Biology Models of Complex Hormonal Controls. date: 1983-09 date_type: published publication: Proceedings of SIAM & Society for Mathematical Biology Meeting volume: N/A number: 3 publisher: AMS (SIAM) pagerange: 230-232 refereed: TRUE referencetext: REFERENCES Baianu, I. and Marinescu, M. 1968. Organismic Supercategories: I. Proposals for a General Unitary Theory of Systems. Bull. Math. Biophys., 30: 625-635. Baianu, I. 1970. "Organismic Supercategories: II On Multistable Systems."Bull. Math. Biophysics., 32: 539-561. Baianu, I.1971 "Organismic Supercategories and Qualitative Dynamics of Systems." Ibid, 33, 339-353. Baianu, I. 1973. "Some Algebraic Properties of (M, R).Systems." Bull. Math. Biol., 35. 213-217. 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. McCulloch, W and W. Pitts. 1943. “A logical Calculus of Ideas Immanent in Nervous Activity” Ibid., 5, 115-133. Pitts, W. 1943. “The Linear Theory of Neuron Networks” Bull. Math. Biophys., 5, 23-31. 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. Russel, Bertrand and A.N. Whitehead, 1925. 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Witten, Ed., Pergamon Press: New York, pp.1513-1577. citation: Baianu, Professor Ion (1983) NATURAL TRANSFORMATION MODELS IN MOLECULAR BIOLOGY. [Conference Paper] document_url: http://cogprints.org/3675/1/Naturaltransfmolbionu6.pdf