论文标题

在刺猬伯斯特(Burster)中噪音爆发

Noise-tuned bursting in a Hedgehog burster

论文作者

Zhu, Jinjie, Nakao, Hiroya

论文摘要

噪声可以影响神经元的发射行为。在这里,我们表明作用在刺猬伯斯特快速变量上的噪声可以通过自我诱导的随机共振(SISR)现象调整爆发的尖峰计数。使用距离匹配条件,可以预测慢速歧管上的临界过渡位置,并获得各种噪声强度的随机周期轨道。慢速歧管上的临界过渡位置具有非单调电位差异,表现出对噪声强度的楼梯样依赖性,这也是由随机周期性轨道周期的逐步变化所揭示的。在每个步骤中,在每个步骤中显示混合模式振荡,噪声调节的爆发更加连贯。当噪声足够大时,可以观察到噪声引起的慢速捕获,其中共存陷阱的数量随噪声强度的增加而增加。有人认为,SISR的鲁棒性是本文中发现的结果的一般性的基础。

Noise can shape the firing behaviors of neurons. Here, we show that noise acting on the fast variable of the Hedgehog burster can tune the spike counts of bursts via the self-induced stochastic resonance (SISR) phenomenon. Using the distance matching condition, the critical transition positions on the slow manifolds can be predicted and the stochastic periodic orbits for various noise strengths are obtained. The critical transition positions on the slow manifold with non-monotonic potential differences exhibit a staircase-like dependence on the noise strength, which is also revealed by the stepwise change in the period of the stochastic periodic orbit. The noise-tuned bursting is more coherent within each step while displaying mixed-mode oscillations near the boundaries between the steps. When noise is large enough, noise-induced trapping of the slow variable can be observed, where the number of coexisting traps increases with the noise strength. It is argued that the robustness of SISR underlies the generality of the results discovered in this paper.

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