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Complexity Reduction of Rate-Equations Models for Two-Choice Decision-Making

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  • José Antonio Carrillo
  • Stéphane Cordier
  • Gustavo Deco
  • Simona Mancini

Abstract

We are concerned with the complexity reduction of a stochastic system of differential equations governing the dynamics of a neuronal circuit describing a decision-making task. This reduction is based on the slow-fast behavior of the problem and holds on the whole phase space and not only locally around the spontaneous state. Macroscopic quantities, such as performance and reaction times, computed applying this reduction are in agreement with previous works in which the complexity reduction is locally performed at the spontaneous point by means of a Taylor expansion.

Suggested Citation

  • José Antonio Carrillo & Stéphane Cordier & Gustavo Deco & Simona Mancini, 2013. "Complexity Reduction of Rate-Equations Models for Two-Choice Decision-Making," PLOS ONE, Public Library of Science, vol. 8(12), pages 1-10, December.
    • Handle: RePEc:plo:pone00:0080820
    DOI: 10.1371/journal.pone.0080820
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