Аннотация
Neuronal avalanches are a novel mode of activity in neuronal networks,
experimentally found in vitro and in vivo, and exhibit a robust critical
behavior: these avalanches are characterized by a power law distribution
for the size and duration, features found in other problems in the
context of the physics of complex systems. We present a recent model
inspired in self-organized criticality, which consists of an electrical
network with threshold firing, refractory period, and activity-dependent
synaptic plasticity. The model reproduces the critical behavior of the
distribution of avalanche sizes and durations measured experimentally.
Moreover, the power spectra of the electrical signal reproduce very
robustly the power law behavior found in human electroencephalogram
(EEG) spectra. We implement this model on a variety of complex networks,
i.e., regular, small-world, and scale-free and verify the robustness of
the critical behavior.
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