The Sigmoid Transfer Function and the Gain-threshold Exponential Dependence for Neurons from Statistical Mechanics Treatment

0404741 - UIVT-O 20020166 RIV CZ eng J - Journal Article
Andrey, Ladislav - Erzan, R.
The Sigmoid Transfer Function and the Gain-threshold Exponential Dependence for Neurons from Statistical Mechanics Treatment.
Czechoslovak Journal of Physics. Roč. 52, č. 12 (2002), s. 1349-1356. ISSN 0011-4626
R&D Projects: GA ČR GA305/02/1487
Institutional research plan: AV0Z1030915
Keywords : nonlinear gain curve * gain-threshold dependence * non-monotone transfer function * statistical mechanics
Subject RIV: BA - General Mathematics
Impact factor: 0.311, year: 2002

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.
Permanent Link: http://hdl.handle.net/11104/0003458