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Simplified models of neurons
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Can we develop simplified models of single cells that retain their essential features ?
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| :: Description | |
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We have developed a simple spiking model that extends the classical integrate-and-fire neuron to reproduce the different dynamical behaviors observed in cerebellar granule cells. The model has only two state variables: in addition to the membrane potential, we consider a gating variable that models a slow potassium current. This current plays a major role in generating the rhythmic behavior and resonance in the model. Despite its simplicity, this model reproduces most of the properties observed in granule cell recordings and in numerical simulations with high-dimensional Hodgkin-Huxley models. This granule cell model permits our cerebellar model simulations to run rapidy with a large number of cells while keeping most of the dynamical behavior of these cells biologically accurate.
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