Effect of phase response curve skew on synchronization with and without conduction delays.
Effect of phase response curve skew on synchronization with and without conduction delays.
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DOI：
10.3389/fncir.2013.00194
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发表时间：
2013
影响因子：
3.5
通讯作者：
Chandrasekaran L
中科院分区：
文献类型：
--
作者：
Canavier CC;Wang S;Chandrasekaran L
包括感觉结合和注意力门控在内的皮质处理的一个中心问题是神经元如何以零或接近零的时滞同步其反应。对于自发放电的神经元，来自另一个神经元的输入可以将下一个尖峰延迟或提前不同的量，具体取决于输入相对于前一个尖峰的时间。该信息构成了相位响应曲线（PRC）。我们提出了一种简单的图形方法来确定 PRC 形状对同步趋势的影响，并使用 1 型 PRC 进行说明，该方法完全由响应激励（抑制）的提前（延迟）组成。我们获得了以下 1 类 PRC 的通用解决方案，其中包括脉冲耦合泄漏积分和火灾模型。对于相互激励的对，由于 PRC 因果限制区域的稳定作用（其中输入在到达后立即触发尖峰），精确的同步可以在强耦合下保持稳定。然而，对于短延迟，同步是不稳定的，因为延迟输入在不应期到达并且不能立即触发尖峰。右偏会破坏反相的稳定性，并使模式的时滞随着传导延迟的增加而增加。因此，右偏斜有利于短传导延迟下的接近同步以及通过互激励耦合的对的同步和反相之间的逐渐过渡。对于具有相互抑制的线对，零时滞同步对于范围从零到线对周期的大部分的传导延迟是稳定的。然而，对于右偏斜，存在短延迟时优选的反相模式。与互激励相反，左偏会破坏反相的稳定性以实现互抑制，因此同步在短延迟时也占主导地位。这些成对的同步倾向限制了嵌入在较大网络中的神经元的同步特性。
A central problem in cortical processing including sensory binding and attentional gating is how neurons can synchronize their responses with zero or near-zero time lag. For a spontaneously firing neuron, an input from another neuron can delay or advance the next spike by different amounts depending upon the timing of the input relative to the previous spike. This information constitutes the phase response curve (PRC). We present a simple graphical method for determining the effect of PRC shape on synchronization tendencies and illustrate it using type 1 PRCs, which consist entirely of advances (delays) in response to excitation (inhibition). We obtained the following generic solutions for type 1 PRCs, which include the pulse-coupled leaky integrate and fire model. For pairs with mutual excitation, exact synchrony can be stable for strong coupling because of the stabilizing effect of the causal limit region of the PRC in which an input triggers a spike immediately upon arrival. However, synchrony is unstable for short delays, because delayed inputs arrive during a refractory period and cannot trigger an immediate spike. Right skew destabilizes antiphase and enables modes with time lags that grow as the conduction delay is increased. Therefore, right skew favors near synchrony at short conduction delays and a gradual transition between synchrony and antiphase for pairs coupled by mutual excitation. For pairs with mutual inhibition, zero time lag synchrony is stable for conduction delays ranging from zero to a substantial fraction of the period for pairs. However, for right skew there is a preferred antiphase mode at short delays. In contrast to mutual excitation, left skew destabilizes antiphase for mutual inhibition so that synchrony dominates at short delays as well. These pairwise synchronization tendencies constrain the synchronization properties of neurons embedded in larger networks.
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