STOCHASTIC PROPERTIES OF NEURONS WITH SHUNT TYPE INHIBITION.

Yasuo Matsuyama, Katsuhiko Shirai, Kageo Akizuki

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Stochastic properties of neurons with shunt type inhibition which have Poisson pulse inputs are considered. The shunt type inhibition lowers the neuron potential in the form of division. In this case the neuron model becomes a system with state dependent noise. The transition probability density function and the first passage time density function of the neuron potential are important. These quantities satisfy Kolmogorov's equation and the law of probability conservation. However, analytical solution cannot be obtained except in very simple cases and hence the numerical method is used together with the analytical one. The results calculated for shunt type inhibition are compared with those for subtractive inhibition.

Original languageEnglish
Title of host publicationSyst Comput Controls
Pages26-33
Number of pages8
Volume5
Edition4
Publication statusPublished - 1974 Jul
Externally publishedYes

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Neurons
Probability density function
Conservation
Numerical methods

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Matsuyama, Y., Shirai, K., & Akizuki, K. (1974). STOCHASTIC PROPERTIES OF NEURONS WITH SHUNT TYPE INHIBITION. In Syst Comput Controls (4 ed., Vol. 5, pp. 26-33)

STOCHASTIC PROPERTIES OF NEURONS WITH SHUNT TYPE INHIBITION. / Matsuyama, Yasuo; Shirai, Katsuhiko; Akizuki, Kageo.

Syst Comput Controls. Vol. 5 4. ed. 1974. p. 26-33.

Research output: Chapter in Book/Report/Conference proceedingChapter

Matsuyama, Y, Shirai, K & Akizuki, K 1974, STOCHASTIC PROPERTIES OF NEURONS WITH SHUNT TYPE INHIBITION. in Syst Comput Controls. 4 edn, vol. 5, pp. 26-33.
Matsuyama Y, Shirai K, Akizuki K. STOCHASTIC PROPERTIES OF NEURONS WITH SHUNT TYPE INHIBITION. In Syst Comput Controls. 4 ed. Vol. 5. 1974. p. 26-33
Matsuyama, Yasuo ; Shirai, Katsuhiko ; Akizuki, Kageo. / STOCHASTIC PROPERTIES OF NEURONS WITH SHUNT TYPE INHIBITION. Syst Comput Controls. Vol. 5 4. ed. 1974. pp. 26-33
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