PlanetPhysics/Natural Transformations of Organismic Structures

Natural Transformations of Organismic Structures
Biological systems, or living organisms are characterized by relational structures and their dynamic transformations which can be represented as natural transformations of heterofunctors in organismic supercategories(OS). Such OS-structures can be specified mathematically either by using the Yoneda-Grothendieck Lemma and construction, or they can be directly derived by a mathematical interpretation of the first ten axioms of ETAS, plus two additional axioms defining both `self-repair' of metabolic components and complete reproduction in terms of genetic coding, translational genomics and epigenetic meta-processes.

Natural transformations of organismic structures allow for the extension of both Rashevsky's organismic set theory and Robert Rosen's Metabolic-Replication Systems Set-Categorical approach to relational biology based on the concepts of molecular set variables and variable categories; the latter concepts are generalizations of Anthony Bartholomay's definition of molecular sets, and the consideration of variable categories with structure instead of only the discrete topology of sets. Further details concerning mathematical, logical and complex modeling are provided in the following list of publications and related web (html) links.