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单词 NaturalTransformationsOfOrganismicStructures
释义

natural transformations of organismic structures


0.1 Natural Transformations of Organismic Structures

Biological systems, or living organisms are characterized by relational structures and their dynamic transformationsPlanetmathPlanetmath which can be represented as natural transformations of heterofunctors in organismic supercategoriesPlanetmathPlanetmathPlanetmathPlanetmath (http://planetmath.org/Supercategories3)(OS). Such OS-structures can be specified mathematically either by using the Yoneda-Grothendieck Lemma and construction (http://planetmath.org/YonedaEmbedding), or they can be directly derived by a mathematical interpretationMathworldPlanetmathPlanetmath of the first ten axioms of ETAS, plus two additional axioms defining both ‘self-repair’ of metabolic components and completePlanetmathPlanetmathPlanetmathPlanetmath reproduction in terms of http://planetphysics.org/?op=getobj&from=books&id=213genetic coding, translational genomics and epigenetic meta-processes. Further details concerning mathematical, logical and complex modeling are provided in the following list of publications and related web (html) links.

References

  • 1 I.C. Baianu: 1977, A Logical Model of Genetic Activities in Łukasiewicz AlgebrasPlanetmathPlanetmath: The Non-linear Theory. Bulletin of Mathematical Biophysics, 39: 249-258.
  • 2 I.C. Baianu: 1980, Natural Transformations of Organismic Structures. Bulletin of Mathematical Biophysics42: 431-446.
  • 3 I.C. Baianu: 1983, Natural Transformation Models in Molecular Biology., in Proceedings of the SIAM Natl. Meet., Denver, CO.; http://cogprints.org/3675/1/Naturaltransfmolbionu6.pdfAn Eprint is here available .
  • 4 I.C. Baianu: 1984, A Molecular-Set-Variable Model of Structural and Regulatory Activities in Metabolic and Genetic Networks., FASEB Proceedings 43, 917.
  • 5 I.C. Baianu: 1987a, Computer Models and Automata Theory in Biology and Medicine., in M. Witten (ed.),Mathematical Models in Medicine, vol. 7., Pergamon Press, New York, 1513-1577; http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=ext&id=ext-2004-067CERN Preprint No. EXT-2004-072:.
  • 6 I.C. Baianu: 1987b, Molecular Models of Genetic and Organismic Structures, in Proceed. Relational Biology Symp. Argentina; http://documents.cern.ch/cgi-bin/setlink?base=preprint&categ=ext&id=ext-2004-067CERN Preprint No.EXT-2004-067:MolecularModelsICB3.doc.
  • 7 I.C. Baianu, Glazebrook, J. F. and G. Georgescu: 2004, CategoriesMathworldPlanetmath of Quantum Automata andN-Valued Łukasiewicz Algebras in RelationMathworldPlanetmathPlanetmathPlanetmath to Dynamic Bionetworks, (M,R)–Systems andTheir Higher Dimensional AlgebraPlanetmathPlanetmath,http://www.ag.uiuc.edu/fs401/QAuto.pdfAbstract of Report is here available as a PDF andhttp://doc.cern.ch/archive/electronic/other/ext/ext-2004-058/QuantumAutnu3_ICB.pdfhtml document
  • 8 R. Brown R, P.J. Higgins, and R. Sivera.: “Non–AbelianMathworldPlanetmath Algebraic Topology”,(in preparation).http://arxiv.org/PS_cache/math/pdf/0407/0407275v2.pdfavailable here as PDF.
  • 9 R. Brown, J. F. Glazebrook and I. C. Baianu: A categorical and higher dimensional algebra framework for complex systemsPlanetmathPlanetmath and spacetime structures, Axiomathes 17:409-493.(2007).
  • 10 L. Lo¨fgren: 1968. On Axiomatic Explanation of Complete Self–Reproduction. Bull. Math. Biophysics,30: 317-348.
  • 11 Contributed Review. 2009. GNUL download.http://planetphysics.org/?op=getobj&from=books&id=213“DNA Molecular Models and Dynamics.”
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