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Published on: September 27, 2018
Minimal size of cell assemblies coordinated by gamma oscillations
Christoph Börgers1, Giovanni Talei Franzesi, Fiona E N Lebeau
1Department of Mathematics, Tufts University, Medford, Massachusetts, United States of America. cborgers@tufts.edu
Gamma rhythms in neural networks require sufficient cell numbers and strong synaptic coupling. Realistic heterogeneity means these rhythms must emerge quickly or not at all, with implications for brain function.
Area of Science:
- Computational neuroscience
- Neural oscillations
- Network dynamics
Background:
- Gamma-frequency (25-100 Hz) oscillations are common in neural networks with excitatory and inhibitory neurons.
- Small driven cell populations or weak/heterogeneous synaptic interactions can disrupt these rhythms.
Purpose of the Study:
- Investigate the breakdown of gamma rhythms in neuronal networks.
- Analyze the impact of driven ensemble size and synaptic properties on rhythm stability.
Main Methods:
- Computational simulations of neuronal networks.
- Mathematical analysis of network dynamics.
- Comparison of homogeneous and heterogeneous network models.
Main Results:
- Network heterogeneity significantly impacts gamma rhythm stability.
- In heterogeneous networks, gamma rhythms must synchronize rapidly to emerge.
- A minimum number of cells is required for stable gamma oscillations, dependent on synaptic strength.
Conclusions:
- Gamma rhythms in heterogeneous networks are an 'all-or-none' phenomenon, requiring fast synchronization.
- Synaptic interaction strength and cell population size are critical for gamma rhythm generation.
- Findings explain experimental observations in visual cortex and hippocampal slices, predicting neuronal behavior.
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