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Título:	Complexity reduction of rate-equations models for two-choice decision-making
Autor/a:	Carrillo, José; Cordier, Stéphane; Deco, Gustavo; Mancini, Simona
Abstract:	We are concerned with the complexity reduction of a stochastic system of differential equations governing the dynamics of/na neuronal circuit describing a decision-making task. This reduction is based on the slow-fast behavior of the problem and/nholds on the whole phase space and not only locally around the spontaneous state. Macroscopic quantities, such as/nperformance and reaction times, computed applying this reduction are in agreement with previous works in which the/ncomplexity reduction is locally performed at the spontaneous point by means of a Taylor expansion.
Abstract:	J.A. Carrillo acknowledges support from the Royal Society by a Wolfson Research Merit Award and by the Engineering and Physical Sciences Research Council grant with references EP/K008404/1. J.A. Carrillo was partially supported by the project MTM2011-27739-C04-02 DGI (Spain) and 2009-SGR-345 from AGAUR-Generalitat de Catalunya. S. Cordier and S. Mancini acknowledge support by the ANR project MANDy, Mathematical Analysis of Neuronal Dynamics, ANR-09-BLAN-0008-01. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
Derechos:	@2013 Carrillo et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits/nunrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited http://creativecommons.org/licenses/by/3.0/
Tipo de documento:	Artículo Artículo - Versión publicada
Editor:	Public Library of Science
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