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The bulletin of mathematical biophysics

, Volume 4, Issue 1, pp 7–14 | Cite as

A theory of steady-state activity in nerve-fiber networks: IV.N circuits with a common synapse

  • Alston S. Householder
Article

Abstract

Conditions under which either of two distinct activity patterns may arise from the same stimulus pattern are deduced for the case of a net-work which consists ofN simple circuits all jointed at a common synapse. If the product of the activity parameters of all the fibers in any circuit is called the activity parameter of the circuit, or, more briefly, the circuit parameter, then the condition for the existence of such mutually consistent activity patterns is that there be a sum of circuit paramaters which is not less than unity.

Keywords

Activity Pattern Activity Parameter Biophysics Volume Stimulus Pattern Circuit Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature

  1. Dines, Lloyd L. 1919. “Systems of Linear Inequalities.”Annals of Mathematics (2)20, 191–199.zbMATHMathSciNetCrossRefGoogle Scholar
  2. Householder, A. S. 1941. “A Theory of Steady-State Activity in Nerve-Fiber Networks: I. Definitions and Preliminary Lemmas.”Bull. Math Biophysics,3, 63–70.Google Scholar
  3. Householder, A. S. 1941. “A Theory of Steady-State Activity in Nerve-Fiber Networks: II. The Simple Circuit.”Bull. Math. Biophysics,3, 105–112.CrossRefGoogle Scholar
  4. Householder, A. S. 1941. “A Theory of Steady-State Activity in Nerve-Fiber Networks: III. The Simple Circuit in Complete Activity.”Bull. Mat. Biophysics,3, 137–140.CrossRefGoogle Scholar

Copyright information

© The University of Chicago Press 1942

Authors and Affiliations

  • Alston S. Householder
    • 1
  1. 1.The University of ChicagoChicagoUSA

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