The sigmoidal transfer function and the gain-threshold exponential dependence for neurons from statistical mechanics treatment


Andrey L., Erzan R.

CZECHOSLOVAK JOURNAL OF PHYSICS, vol.52, no.12, pp.1349-1356, 2002 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 52 Issue: 12
  • Publication Date: 2002
  • Doi Number: 10.1023/a:1021875712715
  • Title of Journal : CZECHOSLOVAK JOURNAL OF PHYSICS
  • Page Numbers: pp.1349-1356

Abstract

Analogy is used to treat the system of non-interacting integrate-and-fire neurons as an ideal Fermi gas. It allows to obtain the nonlinear gain curve in the form of sigmoid in agreement with biological findings. As the by-product the gain-threshold mechanism in neurons is presented. Surprisingly enough, this is in agreement with new biological findings, too. Besides, the application of this mechanism to the dynamics of neurons leads to the non-monotone transfer function.