Modeling Point Neurons: From Hodgkin-Huxley to Integrate-and-Fire
Modeling Point Neurons: From Hodgkin-Huxley to Integrate-and-Fire
This chapter explores the point neurons, i.e., neurons without shape that form the basis of many network models. It discusses why and in which conditions simplified spiking neurons are useful, and also reviews the prototypical simplified spiking neuron model, the leaky integrate-and-fire (LIF) neuron. The chapter then reports several models that are intermediate between Hodgkin-Huxley (HH)-type neurons and LIF neurons, and argues that an exponential nonlinearity appears the best way to capture the spike generation of HH-type models. It shows that simplified models which are in-between the LIF neuron and HH-type models are very helpful in understanding the wide spectrum of dynamic properties observed in real neurons.
Keywords: point neurons, integrate and fire, exponential nonlinearity, spiking neurons, HH-type models
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