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Neuron Circuits: The Self-Exciting Neuron

Published online by Cambridge University Press:  01 January 2025

H. D. Landahl  and
A. S. Householder
H. D. Landahl
Affiliation:
The University of Chicago
A. S. Householder
Affiliation:
The University of Chicago
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Abstract

Conditions are determined under which a single self-exciting neuron can reach a state of permanent excitation, in the case that the neuron develops both an excitatory and an inhibitory substance as well as in the case that it develops only a single, excitatory substance. In case both substances are developed it is possible to have periodic solutions, a possibility which does not arise when the circuit consists of neurons, or of a neuron, developing only an excitatory substance.

Type
Original Paper
Information
Psychometrika , Volume 4 , Issue 4 , December 1939 , pp. 255 - 267
Copyright
Copyright © 1939 The Psychometric Society

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Footnotes

*

In the figures we introduce a dot to represent the nucleus so that all impulses on one side of the nucleus travel toward it (dendrites), and on the other side away from it (axons or their collaterals). In complex circuits this convention may be especially useful.

References

Rashevsky, N. Mathematical biophysics, Chicago: Univ. Chicago Press, 1938.Google Scholar
Householder, A. S. Conditioning circuits. Psychometrika, 1938, 3, 273–289.CrossRefGoogle Scholar
Liapounoff, A. Problème générale de la stabilité du mouvement. Annales de la Faculté de Science de Toulouse, (2), 1907, 9, 203–469.Google Scholar