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.
Neltner
L
L
Laboratoire de Neurophysique et Physiologie du Système Moteur, Université René Descartes, 75270 Paris Cedex 06, France.
Hansel
D
D
D000200:Action Potentials; D000465:Algorithms; D004594:Electrophysiology; D005071:Evoked Potentials; D005583:Fourier Analysis; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*; D013569:Synapses / Q000502:physiology