title: Inhibitory loop robustly induces anticipated synchronization in neuronal microcircuits.
abstract: We investigate the synchronization properties between two excitatory coupled neurons in the presence of an inhibitory loop mediated by an interneuron. Dynamic inhibition together with noise independently applied to each neuron provide phase diversity in the dynamics of the neuronal motif. We show that the interplay between the coupling strengths and the external noise controls the phase relations between the neurons in a counterintuitive way. For a master-slave configuration (unidirectional coupling) we find that the slave can anticipate the master, on average, if the slave is subject to the inhibitory feedback. In this nonusual regime, called anticipated synchronization (AS), the phase of the postsynaptic neuron is advanced with respect to that of the presynaptic neuron. We also show that the AS regime survives even in the presence of unbalanced bidirectional excitatory coupling. Moreover, for the symmetric mutually coupled situation, the neuron that is subject to the inhibitory loop leads in phase.
authors.affiliation: Instituto de Física, Universidade Federal de Alagoas, Maceió, Alagoas 57072-970, Brazil.
authors.forename: Fernanda S
authors.initials: FS
authors.lastname: Matias
authors.affiliation: System Neuroscience Group, Queensland Institute of Medical Research, Brisbane QLD 4006, Australia.
authors.forename: Leonardo L
authors.initials: LL
authors.lastname: Gollo
authors.affiliation: Departamento de Física, Universidade Federal de Pernambuco, Recife, Pernambuco 50670-901, Brazil.
authors.forename: Pedro V
authors.initials: PV
authors.lastname: Carelli
authors.affiliation: Instituto de Fisica Interdisciplinar y Sistemas Complejos, CSIC-UIB, Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain.
authors.forename: Claudio R
authors.initials: CR
authors.lastname: Mirasso
authors.affiliation: Departamento de Física, Universidade Federal de Pernambuco, Recife, Pernambuco 50670-901, Brazil.
authors.forename: Mauro
authors.initials: M
authors.lastname: Copelli