Complexity reduction of rate-equations models for two-choice decision-making

Carrillo, José; Cordier, Stéphane; Deco, Gustavo; Mancini, Simona

doi:http://dx.doi.org/10.1371/journal.pone.0080820

Complexity reduction of rate-equations models for two-choice decision-making

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Carrillo JA, Cordier S, Deco G, Mancini S. Complexity reduction of rate-equations models for two-choice decision-making. PLoS ONE. 2013;8(12):1-10. DOI: 10.1371/journal.pone.0080820

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.