creators_name: Baianu, I.C.
creators_id: ibaianu@illinois.edu
editors_name: Iantovics, Barna 
type: confpaper
datestamp: 2012-04-25 12:29:38
lastmod: 2012-04-25 12:29:38
metadata_visibility: show
title: Category of Metabolic-Replication Systems
in Biology and Medicine
ispublished: inpress
subjects: archives
subjects: bio-evo
subjects: bio-phys
subjects: bio-theory
subjects: comp-sci-complex-theory
subjects: comp-sci-mach-dynam-sys
subjects: comp-sci-neural-nets
subjects: neuro-mod
subjects: peer-review
full_text_status: public
keywords:         metabolic-repair systems
        systems biology
        categories of organismic sets,     Biotechnology, Microbiology, Neuroscience, Bioinformatics, Earth & Environment, Evolutionary Biology
        origins of life on Earth
        simple
        evolutionary biology
        organisms


abstract: Metabolic-repair models, or (M,R)-systems were introduced in Relational Biology by Robert Rosen. Subsequently, Rosen represented such (M,R)-systems (or simply MRs) in terms of categories of sets, deliberately selected without any structure other than the discrete topology of sets. Theoreticians of life’s origins postulated that Life on Earth has begun with the simplest possible organism, called the primordial. Mathematicians interested in biology attempted to answer this important question of the minimal living organism by defining the functional relations that would have made life possible in such a minimal system- a grandad and grandma of all living organisms on Earth.
date: 2012-04-02
date_type: published
publisher: Springer
pagerange: 1-6
refereed: TRUE
referencetext: Bibliography
1
Rashevsky, N.: 1965, The Representation of Organisms in Terms of Predicates,Bulletin of Mathematical Biophysics 27: 477-491.
2
Rashevsky, N.: 1969, Outline of a Unified Approach to Physics, Biology and Sociology., Bulletin of Mathematical Biophysics 31: 159-198.
3
Rosen, R.: 1985, Anticipatory Systems, Pergamon Press: New York.
4
Rosen, R.: 1958a, A Relational Theory of Biological Systems Bulletin of Mathematical Biophysics 20: 245-260.
5
Rosen, R.: 1958b, The Representation of Biological Systems from the Standpoint of the Theory of Categories., Bulletin of Mathematical Biophysics 20: 317-341.
6
Rosen, R.: 1987, On Complex Systems, European Journal of Operational Research 30:129-134.
7
Baianu, I.C.: 1973, Some Algebraic Properties of (M,R) - Systems. Bulletin of Mathematical Biophysics 35, 213-217.
8
Baianu, I.C. and M. Marinescu: 1974, On A Functorial Construction of (M,R)- Systems. Revue Roumaine de Mathematiques Pures et Appliquées 19: 388-391.
9
Baianu, I.C.: 1980, Natural Transformations of Organismic Structures., Bulletin of Mathematical Biology,42: 431-446.
10
I.C. Baianu: 1977, A Logical Model of Genetic Activities in ukasiewicz Algebras: The Non-linear Theory. Bulletin of Mathematical Biophysics, 39: 249-258.
11
I.C. Baianu: 1983, Natural Transformation Models in Molecular Biology., inProceedings of the SIAM Natl. Meet., Denver, CO.; 1 .
12
I.C. Baianu: 1984, A Molecular-Set-Variable Model of Structural and Regulatory Activities in Metabolic and Genetic Networks., FASEB Proceedings 43, 917.
13
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; 1.
14
I.C. Baianu: 1987b, Molecular Models of Genetic and Organismic Structures, inProceed. Relational Biology Symp. Argentina; 1.
15
I.C. Baianu, Glazebrook, J. F. and G. Georgescu: 2004, Categories of Quantum Automata and N-Valued ukasiewicz Algebras in Relation to Dynamic Bionetworks, (M,R)-Systems and Their Higher Dimensional Algebra, 1 and 1
16
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).
17
L. Lfgren: 1968. On Axiomatic Explanation of Complete Self-Reproduction.Bull. Math. Biophysics, 30: 317-348.
18
Baianu, I.C.: 2004a. ukasiewicz-Topos Models of Neural Networks, Cell Genome and Interactome Nonlinear Dynamic Models (2004). Eprint. Cogprints-Sussex Univ.
19
Baianu, I.C.: 2004b ukasiewicz-Topos Models of Neural Networks, Cell Genome and Interactome Nonlinear Dynamics). CERN Preprint EXT-2004-059.Health Physics and Radiation Effects (June 29, 2004).
20
Baianu, I. C.: 2006, Robert Rosen's Work and Complex Systems Biology,Axiomathes 16(1-2):25-34.
21
Baianu I. C., Brown R., Georgescu G. and J. F. Glazebrook: 2006, Complex Nonlinear Biodynamics in Categories, Higher Dimensional Algebra and ukasiewicz-Moisil Topos: Transformations of Neuronal, Genetic and Neoplastic Networks., Axiomathes, 16 Nos. 1-2: 65-122.

citation:   Baianu, Prof.Dr. I.C.  (2012) Category of Metabolic-Replication Systems in Biology and Medicine.  [Conference Paper]    (In Press)  
document_url: http://cogprints.org/8149/14/CATMRs_npre20127045v2.doc
document_url: http://cogprints.org/8149/15/CATMRs_npre20127045v3.pdf
document_url: http://cogprints.org/8149/1/CategoryMRSystems.pdf