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

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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

  • 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.

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  • Householder, A. S. 1941. “A Theory of Steady-State Activity in Nerve-Fiber Networks. II. The Simple Circuit”.Bull. Math. Biophysics,3, 105–112.

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Authors and Affiliations

  1. The University of Chicago, USA

    Alston S. Householder

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  1. Alston S. Householder
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Householder, A.S. A theory of steady-state activity in nerve-fiber networks III: The simple circuit in complete activity. Bulletin of Mathematical Biophysics 3, 137–140 (1941). https://doi.org/10.1007/BF02477933

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  • DOI: https://doi.org/10.1007/BF02477933

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