Resonate-and-Fire Neurons

Neural Networks (2001), 14:883-894

Eugene M. Izhikevich

Abstract. Our study of intrinsic subthreshold oscillatory processes in biological neurons suggests a simple pulse-coupled model -- resonate-and-fire neuron. Unlike integrate-and-fire neurons, which prefer high-frequency input (the higher the frequency, the sooner they fire), resonate-and-fire neurons prefer certain resonant frequency of the input that is nearly equal to their eigenfrequency. Increasing the frequency of the input may actually delay or even terminate their response. For example, the neurons can be excited or inhibited by a doublet (i.e., a pair of spikes) depending on its interspike interval. We use the resonate-and-fire model to illustrate possible sensitivity of biological neurons to the fine temporal structure of the input spike train, which may result in selective interactions, multiplexing, synchronization, and other non-linear phenomena.

Keywords: Integrate-and-fire neurons, pulse-coupled neural networks, synchronization

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