Dynamics of random neural networks with cell-type-specific connectivity

Thursday, September 4, 2014 - 12:00 to 13:00
Thackeray 704
Speaker Information
Merav Stern
Columbia University, Center for Neuroscience

Abstract or Additional Information

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.

Research Area