On the dynamics of coupled Morris-Lecar Neurons
In recent years, the study of computational neuronal dynamics has made remarkable progress has been made by on the nonlinear study of artificial neural networks. This approach relies on using models of single neurons as building blocks of a much larger network ensemble. One such model of neuron dynamics is the Morris-Lecar model. A “Morris-Lecar Neuron” is a system consisting of two, non-linear, first-order ordinary differential equations. In this talk, we will investigate the collective dynamics of networks of coupled Morris-Lecar neurons in two contexts. First, we will investigate the synchronization dynamics of globally coupled neurons and discuss strategies for both maintaining and avoiding synchrony. Second, we will explore the role that Morris-Lecar dynamics play in a model of human sleep dynamics.