Room 306, No.5 Science Building
With the advent of large scale neural recording and optogenetics it is now possible to observer and perturb the spatio-temporal dynamics of many thousands of neurons at high spatial and temporal resolution. This activity takes to form of various types of waves and other more complex patterns. We introduce networks of excitatory and inhibitory neurons connected via convolution to form systems of integro-differential equations. We show via simulation and some mathematical analysis that such models are sufficient to explain many of the observed behaviors.