Pulse coupled oscillators and the phase resetting curve.
Pulse coupled oscillators and the phase resetting curve.
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DOI：
10.1016/j.mbs.2010.05.001
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发表时间：
2010-08
影响因子：
4.3
通讯作者：
Achuthan S
中科院分区：
文献类型：
--
作者：
Canavier CC;Achuthan S
以脉冲方式耦合的极限循环振荡器被称为脉冲耦合振荡器。在这些振荡器中，相互作用采取短暂脉冲的形式，这样一个输入的影响就会在接收到下一个输入之前消失。相位重置曲线 (PRC) 跟踪输入提前或延迟振荡神经元中的下一个尖峰的程度，具体取决于输入在周期中的应用位置。 PRC 可用于预测脉冲耦合振荡器网络中的锁相。在脉冲耦合振荡器的一些研究中，为振荡器之间的相互作用假设了一种特定的形式，但更通用的方法是假设使用近似于真实生物网络中接收的输入的扰动生成的 PRC 来制定问题。一般来说，这种方法需要假设电路架构和特定的触发模式。这允许构建从一个事件到下一个事件的离散地图。这些图的固定点对应于周期性发射模式，并且与直接在原始网络中定位和分析周期性模式相比，更容易定位和分析稳定性。另外，基于中华人民共和国构建的地图并不以射击命令为前提。在脉动耦合假设下分析的具体电路包括周期性强制振荡器或阈值事件后以固定延迟强制的振荡器中的一对一锁定、具有和不具有延迟的两个双向耦合振荡器、单向 N 环振荡器和 N 个全对全网络。
Limit cycle oscillators that are coupled in a pulsatile manner are referred to as pulse coupled oscillators. In these oscillators, the interactions take the form of brief pulses such that the effect of one input dies out before the next is received. A phase resetting curve (PRC) keeps track of how much an input advances or delays the next spike in an oscillatory neuron depending upon where in the cycle the input is applied. PRCs can be used to predict phase locking in networks of pulse coupled oscillators. In some studies of pulse coupled oscillators, a specific form is assumed for the interactions between oscillators, but a more general approach is to formulate the problem assuming a PRC that is generated using a perturbation that approximates the input received in the real biological network. In general, this approach requires that circuit architecture and a specific firing pattern be assumed. This allows the construction of discrete maps from one event to the next. The fixed points of these maps correspond to periodic firing modes and are easier to locate and analyze for stability compared to locating and analyzing periodic modes in the original network directly. Alternatively, maps based on the PRC have been constructed that do not presuppose a firing order. Specific circuits that have been analyzed under the assumption of pulsatile coupling include one to one lockings in a periodically forced oscillator or an oscillator forced at a fixed delay after a threshold event, two bidirectionally coupled oscillators with and without delays, a unidirectional N-ring of oscillators, and N all-to-all networks.
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影响因子：
1.9
作者：
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