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Izhikevich Model

A 2D neuron model that reproduces many spiking patterns with just 4 parameters.

v' = 0.04v² + 5v + 140 - u + I
u' = a(bv - u)

Parameters: a, b, c, d control spike shape, adaptation, and recovery.

Neuron Types

Regular Spiking (RS)

Most common excitatory neuron. Adapts to constant input.

Intrinsically Bursting (IB)

Initial burst followed by single spikes.

Chattering (CH)

Rhythmic bursting with 2-5 spikes per burst.

Fast Spiking (FS)

High-frequency inhibitory interneuron.

Low-Threshold Spiking (LTS)

Rebound spikes from inhibition.

Thalamo-Cortical (TC)

Bistable - tonic or burst mode.

Resonator (RZ)

Prefers oscillatory input near resonance.

Accommodation (AC)

Shows spike frequency adaptation.

Membrane Potential (v)

Recovery Variable (u)

Phase Plane (v vs u)

Input Current (I)

10
a=0.02, b=0.2, c=-65, d=8