Neuronal Avalanches — Power-Law Criticality
Branching process at criticality: P(s) ~ s^(-3/2), mean branching σ = 1
Parameters
Branching ratio σ:
1.00
Neurons N:
80
Connectivity K:
4
Threshold θ:
0.5
Stimulate
Reset
Beggs & Plenz 2003:
P(s) ~ s^(-3/2) at criticality
Branching ratio: σ = ⟨descendants/ancestor⟩
σ<1 subcritical, σ=1 critical
σ>1 supercritical (seizure-like)
σ measured:
—
Avalanche size:
—
Total avalanches:
0
State:
—