%A Dr. Ion Baianu
%O New approaches to realizations of Relational Biology Modeling in Complex System Biology in terms of Natural Transformations between Functors of Organismic Supercategories and their underlying Molecular Categories;
Current developments include: Fuzzy Relations in Complex Systems Biology, Categories of Lukasiewicz Logic Algebras and Intuitionistic Logic Algebras for Modeling Complex Neural Network Processes' realization of Relational Biology models in Complex System Biology in terms of Natural Transformations between Functors of Molecular Categories;
%J Bulletin of Mathematical Biology
%T NATURAL TRANSFORMATIONS OF MULTI-LEVEL ORGANISMAL STRUCTURES REPRESENTED AS ORGANISMIC SUPERCATEGORIES:
I. Generation of Categorical Limits and Colimits during Biological Development and Evolution
%X 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.
%N 3
%K Organismal Bioynamics and Evolutionary Processes in terms of The Theory of Organismic Supercategories, Functors and Natural Transformations; Natural Transformations in Molecular Biology and Embryogenesis ; multi-molecular transformations, Variable-Molecular-sets, molecular-set-variable (MSVs); Natural Transformations in Molecular Evolution; The Principle of Optimal Design in Biology in relation to Natural Selection;
%P 431-446
%E Professor H.D. Landahl Sr.
%V 42
%D 1983
%I Pergamon Press, Ltd.
%L cogprints3829