The bulletin of mathematical biophysics

, Volume 4, Issue 4, pp 169–175 | Cite as

The linear theory of neuron networks: The static problem

  • Walter Pitts
Article

Abstract

The construction of a theory of activity in neuron networks of arbitrary topological structure is commenced under the linear excitation hypothesis: we consider conditions for possible steady-state equilibria, deferring a dynamical treatment to the sequel.

Keywords

Equilibrium Point Neuron Network Biophysics Volume Efferent Fiber External Stimulation 

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Literature

  1. Householder, A. S. 1941a. “A Theory of Steady-State Activity in Nerve-Fiber Networks: I. Definitions and Preliminary Lemmas.”Bull. Math. Biophysics,3, 63–70.CrossRefGoogle Scholar
  2. Householder, A. S. 1941b. “A Theory of Steady-State Activity in Nerve-Fiber Networks: II. The Simple Circuit.”Bull. Math. Biophysics,3, 105–112.CrossRefGoogle Scholar
  3. Householder, A. S. 1941c. “A Theory of Steady-State Activity in Nerve-Fiber Networks: III. The Simple Circuit in Complete Activity”.Bull. Math. Biophysics,3, 137–140.CrossRefGoogle Scholar
  4. Householder, A. S. 1942. “A Theory of Steady-State Activity in Nerve-Fiber Networks: IV.N p Circuits with a Common Synapse.”Bull. Math. Biophysics,4, 7–14.MathSciNetCrossRefGoogle Scholar
  5. Pitts, Walter. 1942. “Some Observations on the Simple Neuron Circuit.”Bull. Math. Biophysics,4, 121–129.MathSciNetGoogle Scholar

Copyright information

© The University of Chicago Press 1942

Authors and Affiliations

  • Walter Pitts
    • 1
  1. 1.The University of ChicagoChicagoUSA

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