Phase Resetting Curves Allow for Simple and Accurate Prediction of Robust N:1 Phase Locking for Strongly Coupled Neural Oscillators
Phase Resetting Curves Allow for Simple and Accurate Prediction of Robust N:1 Phase Locking for Strongly Coupled Neural Oscillators
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DOI：
10.1016/j.bpj.2009.04.016
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发表时间：
2009-07-08
影响因子：
3.4
通讯作者：
Prinz, Astrid A.
中科院分区：
文献类型：
--
作者：
Canavier, Carmen C.;Kazanci, Fatma Gurel;Prinz, Astrid A.
基于两个互易脉冲耦合振荡器的一阶和二阶相位重置曲线，导出了谐波锁定模式的存在性和稳定性标准。我们的理论方法是通用的，因为没有对耦合强度、突触耦合类型和模型做出任何假设。然后使用两个相互抑制的 Wang 和 Buzsaki 模型神经元测试这些方法。正确预测了相对频率参数空间中 2:1、3:1、4:1 和 5:1 锁相带的存在，以及慢神经元尖峰在其出现的快神经元周期内的相位。对于弱耦合，频带非常窄，但强耦合则使频带变宽。脉冲耦合方法的预测在弱耦合范围内与弱耦合方法一致，但将可预测性扩展到强耦合范围。我们表明，我们的预测方法可以推广到通过兴奋性突触耦合的成对神经振荡器，以及多个振荡神经元的网络。该方法的主要限制是中心假设，即每个输入的影响在收到下一个输入之前就消失了。
Existence and stability criteria for harmonic locking modes were derived for two reciprocally pulse coupled oscillators based on their first and second order phase resetting curves. Our theoretical methods are general in the sense that no assumptions about the strength of coupling, type of synaptic coupling, and model are made. These methods were then tested using two reciprocally inhibitory Wang and Buzsaki model neurons. The existence of bands of 2:1, 3:1, 4:1, and 5:1 phase locking in the relative frequency parameter space was predicted correctly, as was the phase of the slow neuron's spike within the cycle of the fast neuron in which it occurred. For weak coupling the bands are very narrow, but strong coupling broadens the bands. The predictions of the pulse coupled method agreed with weak coupling methods in the weak coupling regime, but extended predictability into the strong coupling regime. We show that our prediction method generalizes to pairs of neural oscillators coupled through excitatory synapses, and to networks of multiple oscillatory neurons. The main limitation of the method is the central assumption that the effect of each input dies out before the next input is received.