natural transformations of organismic structures

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=213

genetic 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.pdf

An 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-2004-067

CERN 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-2004-067

CERN 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.pdf

Abstract of Report is here available as a PDF and

http://doc.cern.ch/archive/electronic/other/ext/ext-2004-058/QuantumAutnu3_ICB.pdf

html 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.pdf

available 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

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

Generated on Sat Feb 10 11:45:35 2018 by

LaTeXML