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NATURAL TRANSFORMATIONS OF MULTI-LEVEL ORGANISMAL STRUCTURES REPRESENTED AS ORGANISMIC SUPERCATEGORIES: I. Generation of Categorical Limits and Colimits during Biological Development and Evolution

By Dr. Ion Baianu

Abstract

A current update of our original 1980 publication entitled "Natural Transformations of Organismic Structures" is here presented, along with the original (1980) article. A unifying approach to the realization of Relational Biology models and Complex System Biology was reported in 1980 for the first time in terms of Natural Transformations between Functors of Organismic Supercategories and their generating categorical diagrams. The representation of organismal structures in terms of Organismic-Supercategories, Functors and their Natural Transformations was introduced for the investigation of developmental and evolutionary processes. Several applications of such natural transformations were presented in relation to embryogenesis and evolutionary processes involving natural selection and the emergence of 'optimally designed' organismal structures. Other molecular realizations in Relational Biology and the underlying Molecular Biology of organisms were also discussed. Current developments of this approach to Complex Systems Biology include: Fuzzy Relations in Biological Dynamics and Structural Biology, Categories of Lukasiewicz Logic Algebras as representations of Functional Genomics and Cell Interactomics, and Intuitionistic Logic Algebras in Topoi and Higher-Dimensional Algebras as possible models of the emergence of Human Consciousness through 'long-range' correlations and partially coherent, multi-level Neural Network processes

Topics: Dynamical Systems, Complexity Theory, Artificial Intelligence, Theoretical Biology
Publisher: Pergamon Press, Ltd.
Year: 1983
OAI identifier: oai:cogprints.org:3829
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    Citations

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    2. (1966). Categories of (M,R)-Systems.
    3. (1960). Design for a brain, 2nd ed.,
    4. (1970). Organismic Supercategories: II. On Multistable Systems.
    5. (1968). Organismic Supercategories:I. Proposals for a General Unitary Theory of Systems.

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