The bulletin of mathematical biophysics

, Volume 3, Issue 4, pp 137–140 | Cite as

A theory of steady-state activity in nerve-fiber networks III: The simple circuit in complete activity

  • Alston S. Householder
Article

Abstract

Continuing the investigation previously introduced, it is shown here that when the product of the activity parameters of the circuit is not exceeded by unity (algebraically) a steady state is not possible in which all fibers of the circuit are active, whereas when this product is exceeded by unity, any stimulus pattern which is consistent with such a state of complete activity is inconsistent with any state of partial activity of the circuit.

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Literature

  1. Householder, A. S. 1941. “A Theory of Steady-State Activity in Nerve-Fiber Networks: I. Definitions and Preliminary Lemmas”.Bull. Math. Biophysics,3, 63–69.Google Scholar
  2. Householder, A. S. 1941. “A Theory of Steady-State Activity in Nerve-Fiber Networks. II. The Simple Circuit”.Bull. Math. Biophysics,3, 105–112.Google Scholar

Copyright information

© The University of Chicago Press 1941

Authors and Affiliations

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

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