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Lévy walk dynamics explain gamma burst patterns in primate cerebral cortex
Yuxi Liu1,2, Xian Long1,2, Paul R Martin2,3,4
1School of Physics, University of Sydney, Sydney, NSW, Australia.
Communications Biology
|June 16, 2021
Summary
Brain activity in primate visual cortex exhibits Lévy walk dynamics, a pattern of intermittent motion previously seen in animal foraging. This discovery reveals a new mode of brain computation and efficient information processing.
Area of Science:
- Neuroscience
- Computational Neuroscience
- Complex Systems
Background:
- Lévy walks are characterized by intermittent motion with variable step sizes, observed in animal foraging and other biological systems.
- Non-Brownian, superdiffusive random walks, Lévy walks differ from standard diffusion models.
Purpose of the Study:
- To investigate whether Lévy walk dynamics describe oscillatory activity patterns in the primate cerebral cortex.
- To explore the implications of Lévy walk dynamics for cortical computation and information processing.
Main Methods:
- Empirical observation of high-frequency (gamma band) local field potential activity in the visual motion-processing area MT of marmoset monkeys.
- Biophysically realistic circuit modeling to explain the emergence of Lévy walk dynamics.
Main Results:
- Gamma band activity in the primate cortex is organized into localized burst patterns that propagate across the cortical surface with Lévy walk dynamics.
- These dynamics involve large steps, enabling rapid movement of activity patterns across cortical modules, distinct from global synchronization or regular waves.
- The observed dynamics arise from critical-state transitions between asynchronous and localized propagating wave states.
Conclusions:
- Lévy walk dynamics represent a previously undiscovered mode of brain activity in the primate cortex.
- This mode implies a novel mechanism for cortical computation, potentially enabling efficient spatial sampling and processing of variable inputs.
- The findings suggest Lévy walk dynamics may facilitate the cortex's ability to link activity patterns across sparsely spiking neuronal populations.

