Integrate and Fire Models, Deterministic
The integrate-and-fire (IF) model is a single-compartment model describing the subthreshold dynamics of the neuron membrane potential V. The spiking dynamics is marked by a spiking threshold, potential at which the neuron emits a spike. After spike emission, V is set at the neuron’s reset potential. Subthreshold dynamics was initially designed to capture neuron’s passive membrane properties, and its dynamics was given by a single first-order linear differential equation.
Variations around this model have been introduced to describe either spike-activated currents, more complex subthreshold dynamics, or more realistic spike initiation dynamics. These models can be two or three dimensional or include nonlinear terms. However, they are always designed to describe the relevant mechanisms with a minimal set of variables and parameters which make...
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