Observable for a Large System of Globally Coupled Excitable Units

BOARI, SANTIAGO; URIBARRI, GONZALO; AMADOR, ANA; MINDLIN, GABRIEL

Mathematical and Computational Applications

MCA

Lugar: Basel; Año: 2019 vol. 24

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