Transformations, Semigroups, and Metabolism

  • Kenneth Krohn
  • Rudolph Langer
  • John Rhodes
Conference paper

Abstract

A discussion is given of the application of methods and results from the theory of finite semigroups to the analysis of systems which may be described by transformations on a finite state space. A model for metabolism is developed as an example.

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References

  1. 1).
    Krohn, K. and J. Rhodes. Algebraic theory of machines. I. Prime decomposition theorem for finite semigroups and machines, Trans. Amer. Math. Soc. 116:450–464, 1965.CrossRefGoogle Scholar
  2. 2).
    Krohn, K., R. Langer, and J. Rhodes. Algebraic Principles for the Analysis of a Biochemical System. J. Computer and System Sciences. (2) 1:119–136, 1967.CrossRefGoogle Scholar
  3. 3).
    Krohn, K., R. Langer, and J. Rhodes. A theory of finite physics with an application to the analysis of metabolic systems. To appear in the Proc. 1966 Bionics Symposium. Google Scholar
  4. 4).
    Umbreit, W. W. Metabolic maps. I, Burgess Publishing Company, Minneapolis, 1960.Google Scholar
  5. 5).

Copyright information

© Springer-Verlag New York Inc. 1968

Authors and Affiliations

  • Kenneth Krohn
    • 1
  • Rudolph Langer
    • 1
  • John Rhodes
    • 2
  1. 1.Krohn-Rhodes Research InstituteUSA
  2. 2.University of CaliforniaBerkeleyUSA

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