Prof. I.C. Baianu

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    University of Illinois at Urbana, IL, USA

    Recognized contributor


    User: Bci1

    Research interests in Mathematical Biology, Biophysics and Qualitative/Symbolic Dynamics

    Natural Transformations of Organismic Structures

    Applications of Category Theory, Higher Dimensional Algebra and Supercategories to the representation of living organisms, biological evolution, qualitative dynamics, and the emergence of human consciousness and society.

    Research interests in Quantum Physics and Supercomputing Applications

    Representations of Extended Quantum Symmetry in Non-Abelian Quantum Algebraic Topology (NAQAT) and Higher Dimensional Algebra (HDA)

    Applications of NAQAT theories to Quantum Gravity, Nuclear Reactions, Quasicrystals, Topological Ordering and Superconductivity

    Quantum Supercomputers

    Submitted New Article Titles:

    The October 2009 listing of all submitted article titles to Scholarpedia Editors:

    1. Complex Systems Biology

    2. Genetic Network Dynamics

    3. Computer Models and Automata Theory in Biomedicine

    4. Many-Valued Logic Networks

    5. Genomics and Epigenetics

    6. Interactomics

    7. Categorical Dynamics and Category Theory

    8. Categories of Complex and Supercomplex Systems

    See also

    • Bartholomay, A. F.: 1960. Molecular Set Theory. A mathematical representation for chemical reaction mechanisms. Bull. Math. Biophys., 22: 285-307.
    • Bartholomay, A. F.: 1965. Molecular Set Theory: II. An aspect of biomathematical theory of sets., Bull. Math. Biophys. 27: 235-251.
    • Bartholomay, A.: 1971. Molecular Set Theory: III. The Wide-Sense Kinetics of Molecular Sets ., Bulletin of Mathematical Biophysics, 33: 355-372.
    • Ehresmann, C.: 1984, Oeuvres complètes et commentées: Amiens, 1980-84, edited and commentaries by Andrée Ehresmann.
    • Ehresmann, A. C. and J.-P. Vanbremersch: 2006, The Memory Evolutive Systems as a Model of Rosen's Organisms, in "Complex Systems Biology", I.C. Baianu, Editor, Axiomathes 16 (1-2), pp. 13-50.
    • Eilenberg, S. and Mac Lane, S.: 1942, Natural Isomorphisms in Group Theory., American Mathematical Society, 43: 757-831.
    • Eilenberg, S. and Mac Lane, S.: 1945, The General Theory of Natural Equivalences, Transactions of the American Mathematical Society 58: 231-294.
    • Elsasser, M.W.: 1981, A Form of Logic Suited for Biology., In: Robert, Rosen, ed., Progress in Theoretical Biology, Volume 6, Academic Press, New York and London, pp 23-62.
    • R. Hosemann and S. N. Bagchi. 1962. Direct Analysis of Diffraction by Matter., Amsterdam: North Holland.
    • Poli, R. (2001a), The Basic Problem of the Theory of Levels of Reality, Axiomathes, 12, 3-4, pp. 261-283.
    • Robert Rosen. 1968. On Analogous Systems. Bull Math. Biophysics, 30 (1968).
    • Rosen,R. 1970. Dynamical Systems Theory in Biology. New York: Wiley Interscience.
    • Robert Rosen. 1997 and 2002. Essays on Life Itself. Columbia Univ. Press.
    • Rosen, R.: 1958a, A Relational Theory of Biological Systems., Bulletin of Mathematical Biophysics 20: 245-260.
    • Rosen, R.: 1958b, The Representation of Biological Systems from the Standpoint of the Theory of Categories., Bulletin of Mathematical Biophysics 20: 317-341.
    • Rosen, R. 1960. A quantum-theoretic approach to genetic problems., Bulletin of Mathematical Biophysics, 22: 227-255.
    • Rosen, R.: 1987, On Complex Systems, European Journal of Operational Research, 30: 129-134.
    • Rosen,R. 1970, Optimality Principles in Biology., New York and London: Academic Press.
    • Rosen,R. 1978, Fundamentals of Measurement and Representation of Natural Systems., Elsevier Science Ltd.
    • Rosen,R. 1991, Life Itself: A Comprehensive Inquiry into the Nature, Origin, and Fabrication of Life, Columbia University Press.

    Internal References

    • Christophe Letellier and Otto E. Rossler (2006) Rossler attractor. Scholarpedia, 1(10):1721, revision #47143
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