Minimal Brain Network Model and Quasi-criticality
Analysis
This paper introduces a simplified model of neural network dynamics, focusing on inhibition and its impact on stability and critical behavior. It's significant because it provides a theoretical framework for understanding how brain networks might operate near a critical point, potentially explaining phenomena like maximal susceptibility and information processing efficiency. The connection to directed percolation and chaotic dynamics (epileptic seizures) adds further interest.
Key Takeaways
- •Presents a simplified model of neural network dynamics incorporating inhibition.
- •Establishes a hierarchy of mean-field approximations for analysis.
- •Demonstrates the stabilizing effect of inhibitory neurons.
- •Supports the quasi-criticality hypothesis with maximal susceptibility and mutual information.
- •Identifies directed percolation as the critical transition's universality class.
- •Links chaotic dynamics to potential epileptic seizures.
“The model is consistent with the quasi-criticality hypothesis in that it displays regions of maximal dynamical susceptibility and maximal mutual information predicated on the strength of the external stimuli.”