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首页> 外文期刊>Journal of Computational Neuroscience >Factors affecting phase synchronization in integrate-and-fire oscillators
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Factors affecting phase synchronization in integrate-and-fire oscillators

机译：影响集成点火振荡器相位同步的因素

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摘要

Step changes in input current are known to induce partial phase synchrony in ensembles of leaky integrate-and-fire neurons operating in the oscillatory or "regular firing" regime. An analysis of this phenomenon in the absence of noise is presented based on the probability flux within an ensemble of generalized integrate-and-fire neurons. It is shown that the induction of phase synchrony by a step input can be determined by calculating the ratio of the voltage densities obtained from fully desynchronized ensembles firing at the pre and post-step firing rates. In the limit of low noise and in the absence of phase synchrony, the probability density as a function of voltage is inversely proportional to the time derivative along the voltage trajectory. It follows that the magnitude of phase synchronization depends on the degree to which a change in input leads to a uniform multiplication of the voltage derivative over the range from reset to spike threshold. This analysis is used to investigate several factors affecting phase synchronization including high firing rates, inputs modeled as conductances rather than currents, peri-threshold sodium currents, and spike-triggered potassium currents. Finally, we show that without noise, the equilibrium ensemble density is proportional to the phase response curve commonly used to analyze oscillatory systems.
机译：已知输入电流的阶跃变化会在以振荡或“常规点火”方式工作的泄漏的积分并发射神经元的集合中引起部分相位同步。基于广义积分并发射神经元集合内的概率通量，对在没有噪声的情况下对该现象进行了分析。示出了可以通过计算从在步骤前和步骤后的点火速率下完全去同步的集合点火所获得的电压密度的比率来确定由阶跃输入引起的相位同步。在低噪声和没有相位同步的情况下，作为电压的函数的概率密度与沿电压轨迹的时间导数成反比。由此可见，相位同步的幅度取决于输入的变化导致从复位到尖峰阈值范围内电压导数均匀倍增的程度。该分析用于调查影响相位同步的几个因素，包括高点火率，建模为电导而非电流的输入，阈值附近的钠电流以及尖峰触发的钾电流。最后，我们表明在没有噪声的情况下，平衡集成密度与通常用于分析振荡系统的相位响应曲线成比例。

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