Self-organized criticality in a simple model of neurons based on small-world networks

A simple model for a set of interacting idealized neurons with small-world structure is introduced. The basic elements of the model are endowed with the main features of a neuron function. We find that our model displays power-law behavior of avalanche sizes and generates long-range temporal correla...

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Bibliographic Details
Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 71; no. 1 Pt 2; p. 016133
Main Authors Lin, Min, Chen, TianLun
Format Journal Article
LanguageEnglish
Published United States 01.01.2005
Subjects
Algorithms
Animals
Brain - pathology
Caenorhabditis elegans
Humans
Models, Neurological
Models, Statistical
Nerve Net
Neurons - physiology
Time Factors
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Summary:A simple model for a set of interacting idealized neurons with small-world structure is introduced. The basic elements of the model are endowed with the main features of a neuron function. We find that our model displays power-law behavior of avalanche sizes and generates long-range temporal correlations and 1/f noise. More importantly, we find there are different avalanche dynamical behaviors for different phi, the density of short paths in the network.
ISSN:1539-3755
DOI:10.1103/physreve.71.016133