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Updated: Sep 22, 2026

Multi-electrode Array Recordings of Neuronal Avalanches in Organotypic Cultures
Published on: August 1, 2011
Finite-size effects of avalanche dynamics
Christian W Eurich1, J Michael Herrmann, Udo A Ernst
1Institut für Theoretische Physik, Universität Bremen, Otto-Hahn-Allee 1, Germany. eurich@physik.uni-bremen.de
Abstract:
We study the avalanche dynamics of a system of globally coupled threshold elements receiving random input. The model belongs to the same universality class as the random-neighbor version of the Olami-Feder-Christensen stick-slip model. A closed expression for avalanche size distributions is derived for arbitrary system sizes N using geometrical arguments in the system's configuration space. For finite systems, approximate power-law behavior is obtained in the nonconservative regime, whereas for N--> infinity, critical behavior with an exponent of -3/2 is found in the conservative case only. We compare these results to the avalanche properties found in networks of integrate-and-fire neurons, and relate the different dynamical regimes to the emergence of synchronization with and without oscillatory components.
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