Neural Nets and Finite Automata

  • Michael A. Arbib


I want to start by giving a very sketchy account of neurophysiology—merely sufficient as a basis for our first mathematical model. We may regard the human nervous system as a three-stage system as shown in Figure 2.1.


Logic Unit Spike Train Finite Automaton Inhibitory Synapse Output Line 
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References for Chapter 2

  1. Arbib, M.A., 1973, Automata theory in the context of theoretical neurophysiology, in Foundations of Mathematical Biology (R. Rosen, Ed.), pp. 191–282.Google Scholar
  2. Arbib, M.A., 1984, Computers and the Cybernetic Society, Second Edition, Academic Press.Google Scholar
  3. McCulloch, W.S., and Pitts, W.H., 1943, A logical calculus of the ideas immanent in nervous activity, Bull. Math. Biophy. 5: 115–133.CrossRefMATHMathSciNetGoogle Scholar
  4. Minsky, M.L., 1967,Computation: Finite and Infinite Machines, Prentice-Hall.MATHGoogle Scholar
  5. Shepherd, G., 1979, The Synaptic Organization of the Brain, Second Edition, Oxford University Press.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • Michael A. Arbib
    • 1
  1. 1.Departments of Biomedical Engineering, Computer Science, Electrical Engineering, Neurobiology, Physiology, and PsychologyUniversity of Southern CaliforniaLos AngelesUSA

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