The bulletin of mathematical biophysics

, Volume 3, Issue 4, pp 137–140

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

  • Alston S. Householder

DOI: 10.1007/BF02477933

Cite this article as:
Householder, A.S. Bulletin of Mathematical Biophysics (1941) 3: 137. doi:10.1007/BF02477933


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.

Copyright information

© The University of Chicago Press 1941

Authors and Affiliations

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