The bulletin of mathematical biophysics

, Volume 3, Issue 3, pp 105–112

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

  • Alston S. Householder


It is found that for a simple circuit of neurons, if this contains an odd number of inhibitory fibers, or none at all, or if the product of the activity parameters is less than unity, then the stimulus pattern always determines uniquely the steady-state activity. For circuits not of one of these types, it is possible to classify exclusively and exhaustively all possible activity patterns into three types, here called “odd”, “even”, and “mixed”. For any pattern of odd type and any pattern of even type there always exists a stimulus pattern consistent with both, but in no other way can such an association of activity patterns be made.


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Copyright information

© The University of Chicago Press 1941

Authors and Affiliations

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

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