Robert Rosen’s Work and Complex Systems Biology

@article{Bianu2006RobertRW,
  title={Robert Rosen’s Work and Complex 
Systems Biology},
  author={Ion C. Băianu},
  journal={Axiomathes},
  year={2006},
  volume={16},
  pages={25-34}
}
  • I. Băianu
  • Published 1 March 2006
  • Philosophy
  • Axiomathes
Complex Systems Biology approaches are here considered from the viewpoint of Robert Rosen’s (M,R)-systems, Relational Biology and Quantum theory, as well as from the standpoint of computer modeling. Realizability and Entailment of (M,R)-systems are two key aspects that relate the abstract, mathematical world of organizational structure introduced by Rosen to the various physicochemical structures of complex biological systems. Their importance for understanding biological function and life… 
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References

SHOWING 1-10 OF 27 REFERENCES
A relational theory of biological systems II
TLDR
It is shown that the replication of the repair components of these systems may be accounted for in a natural way within this framework, thereby obviating the need for anad hoc postulation of a replication mechanism.
Outline of a unified approach to physics, biology and sociology.
  • N. Rashevsky
  • Biology
    The Bulletin of mathematical biophysics
  • 1969
TLDR
It is pointed out that a physical system is a set of elementary particles plus the product of their activities, such as transitions from one energy level to another, and physical, biological and sociological phenomena can be considered from a unified set-theoretical point of view.
Some realizations of (M,R)-systems and their interpretation.
  • R. Rosen
  • Philosophy
    The Bulletin of mathematical biophysics
  • 1971
TLDR
The principal aim is to establish the relationships and connections between the global relational formalism embodied in the (M, R)-systems and the empirical descriptions which still represent the bulk of the authors' biological knowledge.
Organismic Supercategories: I. Proposals for a General Unified Theory of Systems- Classical, Quantum, and Complex Biological Systems.
TLDR
An abstract representation of biological systems from the standpoint of the theory of supercategories is presented and two theorems concerning the dynamical behavior of biological and biophysical systems are derived on the basis of the previous considerations.
Complex Non-linear Biodynamics in Categories, Higher Dimensional Algebra and Łukasiewicz–Moisil Topos: Transformations of Neuronal, Genetic and Neoplastic Networks
TLDR
A categorical, higher dimensional algebra and generalized topos framework for Łukasiewicz–Moisil Algebraic–Logic models of non-linear dynamics in complex functional genomes and cell interactomes is proposed, avoiding well known logical paradoxes occurring with sets.
The representation of organisms in terms of predicates.
  • N. Rashevsky
  • Philosophy
    The Bulletin of mathematical biophysics
  • 1965
TLDR
The present paper is an attempt to outline a possible approach to describe the basic known properties of an organism in terms ofn-place predicates, in which the variables represent the different “components” of the organism.
Organismic supercategories and qualitative dynamics of systems.
The representation of biological systems by means of organismic supercategories, developed in previous papers (Bull. Math. Biophysics,30, 625–636;31, 59–71;32, 539–561), is further discussed. The
Essays on Life Itself
TLDR
This book discusses biological challenges to Contemporary Paradigms of Physics and Mimetics, as well as some Lessons of Biology and Technology, and the philosophy of Craft.
THE REPRESENTATION OF BIOLOGICAL SYSTEMS FROM THE STANDPOINT OF THE THEORY OF CATEGORIES
A mathematical framework for a rigorous theory of general systems is constructed, using the notions of the theory of Categories and Functors introduced by Eilenberg and MacLane (1945,Trans. Am. Math.
...
1
2
3
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