Anticipated synchronization in a biologically plausible model of neuronal motifs

Fernanda S. Matias, Pedro V. Carelli, Claudio R. Mirasso, and Mauro Copelli
Phys. Rev. E 84, 021922 – Published 22 August 2011

Abstract

Two identical autonomous dynamical systems coupled in a master-slave configuration can exhibit anticipated synchronization (AS) if the slave also receives a delayed negative self-feedback. Recently, AS was shown to occur in systems of simplified neuron models, requiring the coupling of the neuronal membrane potential with its delayed value. However, this coupling has no obvious biological correlate. Here we propose a canonical neuronal microcircuit with standard chemical synapses, where the delayed inhibition is provided by an interneuron. In this biologically plausible scenario, a smooth transition from delayed synchronization (DS) to AS typically occurs when the inhibitory synaptic conductance is increased. The phenomenon is shown to be robust when model parameters are varied within a physiological range. Since the DS-AS transition amounts to an inversion in the timing of the pre- and post-synaptic spikes, our results could have a bearing on spike-timing-dependent plasticity models.

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  • Received 7 April 2011

DOI:https://doi.org/10.1103/PhysRevE.84.021922

©2011 American Physical Society

Authors & Affiliations

Fernanda S. Matias1, Pedro V. Carelli1, Claudio R. Mirasso2, and Mauro Copelli1

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

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Issue

Vol. 84, Iss. 2 — August 2011

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