Transition to chaos in random networks with cell-type-specific connectivity
Neurons and Cognition
2015-02-24 v1 Disordered Systems and Neural Networks
Probability
Chaotic Dynamics
Abstract
In neural circuits, statistical connectivity rules strongly depend on neuronal type. Here we study dynamics of neural networks with cell-type specific connectivity by extending the dynamic mean field method, and find that these networks exhibit a phase transition between silent and chaotic activity. By analyzing the locus of this transition, we derive a new result in random matrix theory: the spectral radius of a random connectivity matrix with block-structured variances. We apply our results to show how a small group of hyper-excitable neurons within the network can significantly increase the network's computational capacity.
Cite
@article{arxiv.1407.2297,
title = {Transition to chaos in random networks with cell-type-specific connectivity},
author = {Johnatan Aljadeff and Merav Stern and Tatyana O. Sharpee},
journal= {arXiv preprint arXiv:1407.2297},
year = {2015}
}