Type I Membranes, Phase Resetting Curves, and Synchrony

  title={Type I Membranes, Phase Resetting Curves, and Synchrony},
  author={B. Ermentrout},
  journal={Neural Computation},
  • B. Ermentrout
  • Published 1996
  • Mathematics, Computer Science, Medicine
  • Neural Computation
  • Type I membrane oscillators such as the Connor model (Connor et al. 1977) and the Morris-Lecar model (Morris and Lecar 1981) admit very low frequency oscillations near the critical applied current. Hansel et al. (1995) have numerically shown that synchrony is difficult to achieve with these models and that the phase resetting curve is strictly positive. We use singular perturbation methods and averaging to show that this is a general property of Type I membrane models. We show in a limited… CONTINUE READING
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