Observable for a large system of globally coupled excitable units

Abstract

Abstract: The study of large arrays of coupled excitable systems has largely benefited from a technique<br />proposed by Ott and Antonsen, which results in a low dimensional system of equations for the<br />system?s order parameter. In this work, we show how to explicitly introduce a variable describing<br />the global synaptic activation of the network into these family of models. This global variable<br />is built by adding realistic synaptic time traces. We propose that this variable can, under certain<br />conditions, be a good proxy for the local field potential of the network. We report experimental,<br />in vivo, electrophysiology data supporting this claim.<br />Keywords: local field potential; mean field models; coupled oscillators; theta neuron; synchrony;