This is a model of one presynaptic and one postsynaptic cell, as described in the article: Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model. Wang XJ, Buzsáki G. J Neurosci. 1996 Oct 15;16(20):6402-13. PMID: 8815919 ;
Fast neuronal oscillations (gamma, 20-80 Hz) have been observed in the neocortex and hippocampus during behavioral arousal. Using computer simulations, we investigated the hypothesis that such rhythmic activity can emerge in a random network of interconnected GABAergic fast-spiking interneurons. Specific conditions for the population synchronization, on properties of single cells and the circuit, were identified. These include the following: (1) that the amplitude of spike afterhyperpolarization be above the GABAA synaptic reversal potential; (2) that the ratio between the synaptic decay time constant and the oscillation period be sufficiently large; (3) that the effects of heterogeneities be modest because of a steep frequency-current relationship of fast-spiking neurons.