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 transformations which can be represented as natural transformations of heterofunctors in organismic supercategories (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 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 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 Algebras: 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, Categories of Quantum Automata andN-Valued Łukasiewicz Algebras in Relation to Dynamic Bionetworks, (M,R)–Systems andTheir Higher Dimensional Algebra,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–Abelian 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 systems and spacetime structures, Axiomathes 17:409-493.(2007).
10 L. L $\\ddot{o}$ 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.”

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 transformations which can be represented as natural transformations of heterofunctors in organismic supercategories (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 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 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 Algebras: 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, Categories of Quantum Automata andN-Valued Łukasiewicz Algebras in Relation to Dynamic Bionetworks, (M,R)–Systems andTheir Higher Dimensional Algebra,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–Abelian 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 systems and spacetime structures, Axiomathes 17:409-493.(2007). 10 L. L $\\ddot{o}$ 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.”
随便看	PairingFunction pairing function PairwiseComaximalIdealsProperty pairwise comaximal ideals property PairwiseDisjoint pairwise disjoint PaleyWienerTheorem Paley-Wiener theorem Palindrome palindrome PalindromicNumber palindromic number PalindromicPrime palindromic prime PandigitalNumber pandigital number PappussCentroidTheorem PappussTheorem Pappus’s centroid theorem Pappus’s theorem ParabolicSubgroup parabolic subgroup ParacompactTopologicalSpace paracompact topological space Paradox