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Organismic Supercategories: I. Proposals for a General Unified Theory of Systems- Classical, Quantum, and Complex Biological Systems.

Baianu, Prof. Dr. I.C. and Marinescu, Dr. Mircea M. (1968) Organismic Supercategories: I. Proposals for a General Unified Theory of Systems- Classical, Quantum, and Complex Biological Systems. [Journal (Paginated)]

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Abstract

The representation of physical and complex biological systems in terms of organismic supercategories was introduced in 1968 by Baianu and Marinescu in the attached paper which was published in the Bulletin of Mathematical Biophysics, edited by Nicolas Rashevsky. The different approaches to relational biology, developed by Rashevsky, Rosen and by Baianu et al.(1968,1969,1973,1974,1987,2004)were later discussed. The present paper is an attempt to outline an abstract unitary theory of systems. In the introduction some of the previous abstract representations of systems are discussed. Also a possible connection of abstract representations of systems with a general theory of measure is proposed. Then follow some necessary definitions and authors' proposals for an axiomatic theory of systems. Finally some concrete examples are analyzed in the light of the proposed theory. An abstract representation of biological systems from the standpoint of the theory of supercategories is presented. The relevance of such representations forG-relational biologies is suggested. In section A the basic concepts of our representation, that is class, system, supercategory and measure are introduced. Section B is concerned with the mathematical representation starting with some axioms and principles which are natural extensions of the current abstract representations in biology. Likewise, some extensions of the principle of adequate design are introduced in section C. Two theorems which present the connection between categories and supercategories are proved. Two other theorems concerning the dynamical behavior of biological and biophysical systems are derived on the basis of the previous considerations. Section D is devoted to a general study of oscillatory behavior in enzymic systems, some general quantitative relations being derived from our representation. Finally, the relevance of these results for a quantum theoretic approach to biology is discussed. http://www.springerlink.com/content/141l35843506596h/

Item Type:Journal (Paginated)
Additional Information:Recent developments of this unified theory include applications to: Cell Transformations to Malignant Cancer; Telomerase and Reverse Transcriptase roles; c-Myc , TP53 and Ras tumor suppressor genes; p27 and p21 inhibition and uncontrolled cell cycling leading to neoplastic transformation/ malignant cell re-differentiation; rational, individualized therapy of cancers; rational clinical trials; molecular medicine, high-throughput genomics and proteomics technologies, tumor cell lines separation and complete genomic analysis; cancer cell biomarker pattern identification; Early, Reliable and Sensitive Detection of Cancers by Ultra-sensitive, in vivo, Non-Invasive Detection methods. cell interactomics, dynamics of coupled genetic-proteomic networks; Quantum Computation,Quantum Automata and Quantum Gravity (in preparation in 2004); Carcinogenesis; Single Molecule Dynamics; Malignant Tumors; Cancer Cell Interactomics; dynamics of genetic-proteomic networks and signalling pathways, development, regeneration, the control mechanisms of cell dynamic programming in cells; Cancer Cell Cycling; Neoplastic Transformations and Oncogenesis;Complex Systems Biology, Łukasiewicz-Topos and Higher-Dimensional Algebraic Models of Cell Interactomics; cell interactomics, dynamics of coupled genetic-proteomic networks and signaling pathways, development, regeneration, and control mechanisms of cell dynamic programming in cells, neoplastic transformations and oncogenesis; complex system modeling and biomolecular network representations in categories of Łukasiewicz Logic Algebras and Łukasiewicz-Topos Relational and Molecular Biology, Cell Genomics and Proteomics, and Cancer Cell Interactomics are represented in Supercategories defined currently as n-categories (or higher dimensional algebra), Axiomatic definitions of Categories and Supercategories of Relational, Complex Biological Systems, Dynamic Computations with Algebraic Varieties, Cell Transformations to Malignant Cancer. Early, Reliable and Sensitive Detection of Cancers by Ultra-sensitive, in vivo, Non-Invasive detection methods.
Keywords:Complex Systems Biology, Categories and Functors; Homology Theory applications to Qualitative Dynamics; Quantum Genetics; Relational Oscillations; Organismic Supercategories; Qualitative Dynamics of Systems in Organismic Supercategories; Categorical Dynamic Systems; Observables Generating Diagram, Relational Biology; Quantum, Electron Tunneling mechanisms in Enzyme Catalized reactions;
Subjects:Computer Science > Statistical Models
Computer Science > Dynamical Systems
Computer Science > Complexity Theory
Biology > Sociobiology
Biology > Evolution
Computer Science > Neural Nets
Computer Science > Human Computer Interaction
Biology > Theoretical Biology
Biology > Population Biology
Biology > Animal Behavior
Biology > Animal Cognition
Biology > Behavioral Biology
Biology > Ecology
Computer Science > Artificial Intelligence
ID Code:3831
Deposited By: Baianu, Professor I. C.
Deposited On:06 Oct 2004
Last Modified:16 Dec 2011 00:59

References in Article

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