supercategory of variable molecular sets

Definition 0.1.

A supercategory of variable molecular sets (or molecular set variables), §msv is defined as the supercategoryPlanetmathPlanetmath whose class of objects is the class of all possible variable molecular sets, msv’s, (or molecular set variables), and whose class of morphismsMathworldPlanetmathPlanetmath is the class of all molecular transformations, ηt, of msv’s.

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


  • 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 as “Naturaltransfmolbionu6.pdf”.
  • 5 I.C. Baianu: 1970, Organismic SupercategoriesPlanetmathPlanetmath: 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 AlgebraPlanetmathPlanetmath and Łukasiewicz–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. 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.
Title supercategory of variable molecular sets
Canonical name SupercategoryOfVariableMolecularSets
Date of creation 2013-03-22 18:30:08
Last modified on 2013-03-22 18:30:08
Owner bci1 (20947)
Last modified by bci1 (20947)
Numerical id 5
Author bci1 (20947)
Entry type Definition
Classification msc 81-00
Classification msc 92B05
Classification msc 18-00
Synonym supercategory of molecular set variables
Synonym msv-supercategory
Related topic CategoryOfMolecularSets
Related topic ETAS
Related topic MolecularSetVariable
Related topic MolecularSetTheory
Related topic SupercategoriesOfComplexSystems
Related topic ComplexSystemsBiology
Related topic AbstractRelationalBiology
Defines msv-supercategory
Defines classes of molecular set variables and their chemical transformations with time