PlanetPhysics/Supercategory of Variable Molecular Sets

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A supercategory of variable molecular sets (or \htmladdnormallink{molecular set variables {http://planetphysics.us/encyclopedia/ChemicalTransformations.html})}, is defined as the supercategory whose class of objects is the class of all possible variable molecular sets, 's, (or molecular set variables), and whose class of morphisms is the class of all molecular transformations, , of 's.

Remark All such --supercategories are semantic interpretations of the ETAS axioms (syntax). This is a mathematical representation of chemical reaction systems in terms of molecular sets that vary with time (or 's, and their transformations as a result of diffusion, collisions, and chemical reactions.

All Sources[edit | edit source]

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References[edit | edit source]

  1. Bartholomay, A. F.: 1960. Molecular Set Theory. A mathematical representation for chemical reaction mechanisms. Bull. Math. Biophys. , 22 : 285-307.
  2. Bartholomay, A. F.: 1965. Molecular Set Theory: II. An aspect of biomathematical theory of sets., Bull. Math. Biophys. 27 : 235-251.
  3. Bartholomay, A.: 1971. Molecular Set Theory: III. The Wide-Sense Kinetics of Molecular Sets ., Bulletin of Mathematical Biophysics , 33 : 355-372.
  4. Baianu, I. C.: 1983, Natural Transformation Models in Molecular Biology., in Proceedings of the SIAM Natl. Meet ., Denver, CO.; Eprint No. 3675 at cogprints.org/3675/01 as "Naturaltransfmolbionu6.pdf".
  5. I.C. Baianu: 1970, Organismic Supercategories: II. On Multistable Systems. Bulletin of Mathematical Biophysics , 32 : 539-561.
  6. I.C. Baianu, Brown R., J. F. Glazebrook, and Georgescu G.: 2006, Complex Nonlinear Biodynamics in Categories, Higher Dimensional Algebra and \L{}ukasiewicz--Moisil Topos: Transformations of Neuronal, Genetic and Neoplastic networks, Axiomathes 16 Nos. 1--2, 65--122.
  7. I.C. Baianu: 1980, Natural Transformations of Organismic Structures. \emph{Bulletin of Mathematical Biophysics} 42 : 431-446.
  8. I.C. Baianu: 1984, A Molecular-Set-Variable Model of Structural and Regulatory Activities in Metabolic and Genetic Networks., FASEB Proceedings 43 , 917.