On synchrony of weakly coupled neurons at low firing rate.
The dynamics of a pair of weakly interacting conductance-based neurons, firing at low frequency, nu, is investigated in the framework of the phase-reduction method. The stability of the antiphase and the in-phase locked state is studied. It is found that for a large class of conductance-based models, the antiphase state is stable (resp., unstable) for excitatory (resp., inhibitory) interactions if the synaptic time constant is above a critical value tau(c)(s), which scales as the absolute value of log nu when nu goes to zero.
Laboratoire de Neurophysique et Physiologie du Système Moteur, Université René Descartes, 75270 Paris Cedex 06, France.
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D000200:Action Potentials; D000465:Algorithms; D004594:Electrophysiology; D005071:Evoked Potentials; D005583:Fourier Analysis; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*; D013569:Synapses / Q000502:physiology