论文标题
在两个耦合1型神经元人群的网络中，集体振荡的出生和破坏
Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons
论文作者
论文摘要
我们研究了由两个人群与不同但对称的人群内和人口间耦合强度相互作用的大型1型神经元网络的宏观动力学。这种不均匀的耦合方案促进了对称平衡，其中两个人群都表现出相同的射击活动，其特征是静态或尖峰行为或不对称的平衡，其中一个人口的发射活性表现出静止，但其他人则表现出尖峰行为。如果神经元发射非零宽度但否则会淬灭，则可能发射速率的振荡。在这里，我们探讨了在无限数量的神经元极限的两个统计上相同神经元种群中如何出现集体振荡。一项详细的分析揭示了在各种分叉场景中如何诞生和破坏集体振荡，以及它们如何围绕更高的编成分叉点进行组织。由于对称和不对称平衡都表现出可行的行为，因此可以使用具有稳定和振荡行为的大型配置空间。在神经活动的配置之间切换在功能过程（例如工作记忆和电动机控制中的集体振荡发作）中相关。
We study the macroscopic dynamics of large networks of excitable type 1 neurons composed of two populations interacting with disparate but symmetric intra- and inter-population coupling strengths. This nonuniform coupling scheme facilitates symmetric equilibria, where both populations display identical firing activity, characterized by either quiescent or spiking behavior, or asymmetric equilibria, where the firing activity of one population exhibits quiescent but the other exhibits spiking behavior. Oscillations in the firing rate are possible if neurons emit pulses with non-zero width but are otherwise quenched. Here, we explore how collective oscillations emerge for two statistically identical neuron populations in the limit of an infinite number of neurons. A detailed analysis reveals how collective oscillations are born and destroyed in various bifurcation scenarios and how they are organized around higher codimension bifurcation points. Since both symmetric and asymmetric equilibria display bistable behavior, a large configuration space with steady and oscillatory behavior is available. Switching between configurations of neural activity is relevant in functional processes such as working memory and the onset of collective oscillations in motor control.
