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

• Published in: Neural computation Vol. 24; no. 1; pp. 25 - 31
• Main Authors: Miller, Kenneth D., Fumarola, Francesco
• Format: Journal Article
• Language: English
• 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

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...