Anticipated synchronization in neuronal circuits unveiled by a phase-response-curve analysis

Fernanda S. Matias, Pedro V. Carelli, Claudio R. Mirasso, and Mauro Copelli
Phys. Rev. E 95, 052410 – Published 22 May 2017

Abstract

Anticipated synchronization (AS) is a counterintuitive behavior that has been observed in several systems. When AS occurs in a sender-receiver configuration, the latter can predict the future dynamics of the former for certain parameter values. In particular, in neuroscience AS was proposed to explain the apparent discrepancy between information flow and time lag in the cortical activity recorded in monkeys. Despite its success, a clear understanding of the mechanisms yielding AS in neuronal circuits is still missing. Here we use the well-known phase-response-curve (PRC) approach to study the prototypical sender-receiver-interneuron neuronal motif. Our aim is to better understand how the transitions between delayed to anticipated synchronization and anticipated synchronization to phase-drift regimes occur. We construct a map based on the PRC method to predict the phase-locking regimes and their stability. We find that a PRC function of two variables, accounting simultaneously for the inputs from sender and interneuron into the receiver, is essential to reproduce the numerical results obtained using a Hodgkin-Huxley model for the neurons. On the contrary, the typical approximation that considers a sum of two independent single-variable PRCs fails for intermediate to high values of the inhibitory coupling strength of the interneuron. In particular, it loses the delayed-synchronization to anticipated-synchronization transition.

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  • Received 9 March 2017

DOI:https://doi.org/10.1103/PhysRevE.95.052410

©2017 American Physical Society

Physics Subject Headings (PhySH)

Physics of Living SystemsInterdisciplinary PhysicsNonlinear Dynamics

Authors & Affiliations

Fernanda S. Matias1,*, Pedro V. Carelli2, Claudio R. Mirasso3, and Mauro Copelli2

  • 1Instituto de Física, Universidade Federal de Alagoas, Maceió, Alagoas 57072-970, Brazil
  • 2Departamento de Física, Universidade Federal de Pernambuco, Recife, Pernambuco 50670-901, Brazil
  • 3Instituto de Fisica Interdisciplinar y Sistemas Complejos, IFISC (CSIC-UIB), Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain

  • *fernanda@fis.ufal.br

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Issue

Vol. 95, Iss. 5 — May 2017

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