相位重置曲线分析揭示神经元回路的预期同步
Anticipated synchronization in neuronal circuits unveiled by a phase-resetting curve analysis
摘要：
预期同步（AS）是一种反直觉的行为，已经在几个系统中观察到。当AS建立在发送器-接收器配置中时，后者可以预测前者对于某些参数值的未来动态。特别是在神经科学中，AS被提出来解释猴子大脑皮层活动中记录的信息流和时间滞后之间的明显差异。尽管它的成功，一个清晰的了解机制，产生AS在神经元回路仍然缺乏。在这里，我们使用著名的相位重置曲线（PRC）的方法来研究原型发送器-接收器-interneuron神经元基序。我们的目标是更好地了解延迟到预期同步和预期同步到相位漂移制度之间的过渡是如何发生的。我们构建了一个地图的基础上PRC方法来预测的锁相制度及其稳定性。我们发现，一个PRC功能的两个变量，同时占从发送器和interneuron到接收器的输入，是必不可少的再现使用霍奇金-赫胥黎模型的神经元得到的数值结果。相反，考虑两个独立的单变量PRC的总和的典型近似对于中间神经元之间的抑制性连接的中间到高值失败。特别是，它失去了延迟同步到预期同步的转换。
英文摘要：
Anticipated synchronization (AS) is a counter intuitive behavior that has been observed in several systems. When AS establishes in a sender-receiver configuration, the latter can predict the future dynamics of the former for certain parameter values. In particular, in neuroscience AS was proposed to explain the apparent discrepancy between information flow and time lag in the cortical activity recorded in monkeys. Despite its success, a clear understanding on the mechanisms yielding AS in neuronal circuits is still missing. Here we use the well-known phase-resetting-curve (PRC) approach to study the prototypical sender-receiver-interneuron neuronal motif. Our aim is to better understand how the transitions between delayed to anticipated synchronization and anticipated synchronization to phase-drift regimes occur. We construct a map based on the PRC method to predict the phase-locking regimes and their stability. We find that a PRC function of two variables, accounting simultaneously for the inputs from sender and interneuron into the receiver, is essential to reproduce the numerical results obtained using a Hodgkin-Huxley model for the neurons. On the contrary, the typical approximation that considers a sum of two independent single-variable PRCs fails for intermediate to high values of the inhibitory connectivity between interneuron. In particular, it looses the delayed-synchronization to anticipated-synchronization transition.
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