A Small Morris-Lecar Neuron Network Gets Close to Critical Only in the Small-World Regimen

Figure 4

Normalized probability distribution of the activity avalanches sizes (a) and branching rate (b). From top to bottom, networks with 𝑁_𝑠(%)=64(100%), 19 (30%), 13 (20%), 9 (15%), and 4 (7%) added shortcuts. Red line is a power law with exponent −3/2. Morris-Lecar simulation parameters are 𝑔_Ca=1.0 1/(Ωcm²), 𝑔_𝐾=2.0 1/(Ωcm²), 𝑔_𝐿=0.5 1/(Ωcm²), 𝑉_Ca=1.0 mV, 𝑉_𝐾=−0.7 mV, 𝑉_𝐶𝑙=−0.5 mV, 𝑉₁=−0.01 mV, 𝑉₂=0.15 mV, 𝑉₃=0.0 mV, 𝑉₄=0.3 mV, 𝜙=0.2, 𝛾=1, 𝐼₀=0.085 mA/(cm²), 𝐽_max=1.0, 𝑉_𝑠=0.1, 𝛽=5.0, and 𝜃=0.

(a)

(b)