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Math. Comput. Appl. 2019, 24(2), 37; https://doi.org/10.3390/mca24020037

Observable for a Large System of Globally Coupled Excitable Units

Departamento de Física, Facultad de Ciencias Exactas y Naturales (FCEyN), UBA and IFIBA CONICET, Buenos Aires C1428BFA, Argentina
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Authors to whom correspondence should be addressed.
These authors contributed equally to this work.
Received: 27 February 2019 / Revised: 30 March 2019 / Accepted: 4 April 2019 / Published: 6 April 2019
(This article belongs to the Special Issue Dynamics Days Latin America and the Caribbean 2018)
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Abstract

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

Boari, S.; Uribarri, G.; Amador, A.; Mindlin, G.B. Observable for a Large System of Globally Coupled Excitable Units. Math. Comput. Appl. 2019, 24, 37.

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