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Izhikevich Model

Modèle de neurones à spikes (compromis biologique/coût)

Izhikevich, 2003

Izhikevich Spikes

Neural spiking activity

Parameters

a0.02
b0.2
c-65
d8

State

Firing Rate0 spikes

Mathematics

Voltage dynamics:

dvdt=0.04v2+5v+140−u+I\frac{dv}{dt} = 0.04v^2 + 5v + 140 - u + I

Recovery variable:

dudt=a(bv−u)\frac{du}{dt} = a(bv - u)

Spike condition:

si v≥30:v←c,u←u+d\text{si } v \geq 30: \quad v \leftarrow c, \quad u \leftarrow u + d