Type I membranes, phase resetting curves, and synchrony
Type I membranes, phase resetting curves, and synchrony
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DOI：
10.1162/neco.1996.8.5.979
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发表时间：
1996-07-01
影响因子：
2.9
通讯作者：
Ermentrout, B
中科院分区：
文献类型：
--
作者：
Ermentrout, B
I型膜振荡器，如Connor模型(Conner等人和Morris-LeCar模型(Morris和LeCar，1981)在临界外加电流附近有很低的频率振荡。Hansel等人的研究成果。(1995)的结果表明，用这些模型很难实现同步，并且相位重置曲线严格为正。我们用奇异摄动方法和平均方法证明了这是I型膜模型的一个普遍性质。我们在有限的意义上表明，所谓的类型II重置发生在通过Hopf分叉获得节律性的模型上。我们还展示了快速动作的突触和动作缓慢的突触之间的差异，并得出了相位相互作用的规范形式。
Type I membrane oscillators such as the Connor model (Conner 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 sense that so called Type II resetting occurs with models that obtain rhythmicity via a Hopf bifurcation. We also show the differences between synapses that act rapidly and those that act slowly and derive a canonical form for the phase interactions.