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 Biophysics 42: 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 and N-Valued Łukasiewicz Algebras in Relation to Dynamic Bionetworks, (M,R)–Systems and Their Higher Dimensional Algebra, http://www.ag.uiuc.edu/fs401/QAuto.pdfAbstract of Report is here available as a PDF and http://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.”

Title	natural transformations of organismic structures
Canonical name	NaturalTransformationsOfOrganismicStructures
Date of creation	2013-03-22 18:13:07
Last modified on	2013-03-22 18:13:07
Owner	bci1 (20947)
Last modified by	bci1 (20947)
Numerical id	31
Author	bci1 (20947)
Entry type	Topic
Classification	msc 55T99
Classification	msc 18C99
Classification	msc 18A25
Classification	msc 18A30
Classification	msc 18A40
Synonym	dynamics in organismic supercategories
Synonym	organismic supercategory biodynamics
Related topic	Supercategory
Related topic	ETAC
Related topic	ETAS
Related topic	Supercategories3
Related topic	SupercategoriesOfComplexSystems
Related topic	ComplexSystemsBiology
Defines	natural transformations of heterofunctors in supercategories