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Multi-electrode Array Recordings of Neuronal Avalanches in Organotypic Cultures

Multi-electrode Array Recordings of Neuronal Avalanches in Organotypic Cultures

Published on: August 1, 2011

Measuring neuronal avalanches in disordered systems with absorbing states.

M Girardi-Schappo^1,2, M H R Tragtenberg²

¹Neuroimaging of Epilepsy Laboratory, McConnell Brain Imaging Center, McGill University, Montreal Neurological Institute and Hospital, H3A 2B4, Montreal, Quebec, Canada.

Physical Review. E

|May 16, 2018

Summary

This study explores avalanche definitions in theoretical models, finding that experimental definitions can reveal power-law behavior outside critical points. This challenges standard theoretical assumptions about critical phenomena.

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Area of Science:

Complex systems
Computational neuroscience
Statistical physics

Background:

Power-law distributions characterize avalanche sizes in various systems, including neural networks, often indicating critical behavior.
A key ambiguity exists in defining 'avalanches': theoretical models typically define them from stimulus to relaxation, while experimental neuroscience uses activity between silent states.

Purpose of the Study:

To investigate the applicability of the experimental avalanche definition to theoretical models.
To analyze how different avalanche definitions impact the characterization of critical behavior and power-law distributions.
To explore avalanche dynamics in a model with emergent separation of driving and relaxation time scales.

Main Methods:

A theoretical model with inherent separation of driving and relaxation time scales was developed.
Both the standard theoretical definition and the experimental neuroscience definition of avalanches were applied to the model.
Avalanche size distributions were analyzed for power-law scaling and system-size dependence at and outside the critical point.

Main Results:

Both avalanche definitions produced power-law-distributed avalanches that scaled with system size at the critical point, as expected.
Crucially, the experimental definition revealed restricted power-law avalanche distributions even outside the critical region, a finding not predicted by the standard theoretical definition.
The observed phenomena were noted to be dependent on the specific details of the model.

Conclusions:

The experimental definition of neuronal avalanches can be extended to theoretical models to characterize power-law behavior and critical dynamics.
Applying the experimental definition can uncover hidden power-law avalanche distributions outside the critical region in certain models.
These findings highlight the importance of definition choices in analyzing complex systems and suggest model-specific interpretations are necessary.