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Related Experiment Video

Updated: May 14, 2026

Multi-electrode Array Recordings of Neuronal Avalanches in Organotypic Cultures
16:01

Multi-electrode Array Recordings of Neuronal Avalanches in Organotypic Cultures

Published on: August 1, 2011

Avalanche collapse of interdependent networks.

G J Baxter1, S N Dorogovtsev, A V Goltsev

  • 1Department of Physics and I3N, University of Aveiro, Campus Universitário de Santiago, 3810-193 Aveiro, Portugal. gjbaxter@ua.pt

Physical Review Letters
|February 2, 2013
PubMed
Summary
This summary is machine-generated.

We discovered latent critical clusters that trigger avalanche collapse in multiplex networks. Their size divergence signals a phase transition, but only from one side, revealing network fragility under damage.

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Last Updated: May 14, 2026

Multi-electrode Array Recordings of Neuronal Avalanches in Organotypic Cultures
16:01

Multi-electrode Array Recordings of Neuronal Avalanches in Organotypic Cultures

Published on: August 1, 2011

Area of Science:

  • Network Science
  • Complex Systems
  • Statistical Physics

Background:

  • Multiplex networks are susceptible to cascading failures under perturbations.
  • Understanding the collapse of the giant viable component is crucial for network resilience.

Purpose of the Study:

  • To elucidate the mechanism of avalanche collapse in multiplex networks due to random damage.
  • To identify precursors signaling phase transitions in these complex systems.

Main Methods:

  • Analysis of latent critical clusters associated with damage-induced avalanches.
  • Investigation of phase transitions in scale-free multiplex networks.

Main Results:

  • Latent critical clusters were identified as key drivers of avalanche collapse.
  • Divergence in mean cluster size acts as a precursor to hybrid phase transitions from one direction.
  • Discontinuous transitions occur in scale-free networks when mean degrees do not diverge.

Conclusions:

  • The study reveals asymmetric precursors to phase transitions in multiplex networks.
  • Network fragility is linked to the behavior of latent critical clusters under damage.
  • Scale-free multiplex networks exhibit specific transition dynamics dependent on mean degree.