Mathematical Equivalence of Two Common Forms of Firing Rate Models of Neural Networks

We demonstrate the mathematical equivalence of two commonly used forms of firing rate model equations for neural networks. In addition, we show that what is commonly interpreted as the firing rate in one form of model may be better interpreted as a low-pass-filtered firing rate, and we point out a c...

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Bibliographic Details
Published inNeural computation Vol. 24; no. 1; pp. 25 - 31
Main Authors Miller, Kenneth D., Fumarola, Francesco
Format Journal Article
LanguageEnglish
Published One Rogers Street, Cambridge, MA 02142-1209, USA MIT Press 01.01.2012
MIT Press Journals, The
Subjects
Mathematical models
Models, Neurological
Nerve Net - physiology
Neural networks
Neural Networks, Computer
Neurons - physiology
Synapses - physiology
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Summary:We demonstrate the mathematical equivalence of two commonly used forms of firing rate model equations for neural networks. In addition, we show that what is commonly interpreted as the firing rate in one form of model may be better interpreted as a low-pass-filtered firing rate, and we point out a conductance-based firing rate model.
Bibliography:January, 2012
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ISSN:0899-7667
1530-888X
1530-888X
DOI:10.1162/NECO_a_00221