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Networks of living neurons exhibit an avalanche mode of activity, experimentally found in organotypic
cultures. Here we present a model that is based on self-organized criticality and takes into account brain
plasticity, which is able to reproduce the spectrum of electroencephalograms (EEG). The model consists
of an electrical network with threshold firing and activity-dependent synapse strengths. The system
exhibits an avalanche activity in a power-law distribution. The analysis of the power spectra of the
electrical signal reproduces very robustly the power-law behavior with the exponent 0.8, experimentally
measured in EEG spectra. The same value of the exponent is found on small-world lattices and for leaky
neurons, indicating that universality holds for a wide class of brain models
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