On synchrony of weakly coupled neurons at low firing rate

Neural Comput. 2001 Apr;13(4):765-74. doi: 10.1162/089976601300014330.


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.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Action Potentials
  • Algorithms
  • Electrophysiology
  • Evoked Potentials
  • Fourier Analysis
  • Models, Neurological
  • Neurons / physiology*
  • Synapses / physiology