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Scaling behavior in probabilistic neuronal cellular automata.

Kaustubh Manchanda1, Avinash Chand Yadav, Ramakrishna Ramaswamy

  • 1School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 16, 2013
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Summary
This summary is machine-generated.

Researchers studied a critical neural network model exhibiting neuronal avalanches. At the critical point, activity avalanche scaling exponents align with mean-field theory predictions.

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Area of Science:

  • Computational neuroscience
  • Statistical physics
  • Complex systems

Background:

  • Neural networks exhibit complex dynamics.
  • Stochastic discrete two-state cellular automata model neuronal interactions.
  • Systems tuned to criticality display emergent phenomena.

Purpose of the Study:

  • Investigate a neural network model of interacting stochastic discrete two-state cellular automata.
  • Analyze neuronal activity avalanches at a critical point.
  • Compare numerical findings with theoretical predictions.

Main Methods:

  • Developed a neural network model of interacting stochastic discrete two-state cellular automata on a regular lattice.
  • Externally tuned the system to a critical point varying with stochasticity (effective temperature).
  • Performed a detailed numerical study of spatio-temporal activity avalanches, computing probability distributions.

Main Results:

  • Observed avalanches of neuronal activity, defined as contiguous sites of activity.
  • Computed single, joint, and marginal probability distributions for these avalanches.
  • Found that scaling exponents at the critical point agree well with mean-field theory.

Conclusions:

  • The studied neural network model exhibits critical behavior characterized by neuronal avalanches.
  • Mean-field theory provides a good approximation for the scaling exponents at criticality.
  • This work contributes to understanding critical phenomena in neural systems.