在本文中,我们开发了一种新的皮质-苍白球模型来研究皮质中帕金森振荡的起源机制。与许多以前的型号相比,苍白球内部(GPi)和外部(GPe)都对皮质产生直接的抑制反馈。利用Hopf分岔分析,两个新的振荡临界条件,其中可以包括GPe的自反馈投影,是获得的。在本文中,我们发现平均放电率(ADR)是振荡的重要标志,可以将Hopf分叉分为两种类型,可以统一解释振荡机理。有趣的是,随着投射到GPe的耦合权重的增加,皮质的ADR首先增加,然后减少。关于Hopf分岔临界条件,GPe的抑制性投影和兴奋性投影之间的定量关系是单调增加的;相反,皮层中不同耦合权重之间的关系是单调递减的。总的来说,振荡幅度在分叉点附近最低,并随着振荡的演变而达到最大值。GPe是深部脑刺激的有效目标,可以减轻皮质中的振荡。
In this paper, we develop a new cortex-pallidum model to study the origin mechanism of Parkinson\'s oscillations in the cortex. In contrast to many previous models, the globus pallidus internal (GPi) and externa (GPe) both exert direct inhibitory feedback to the cortex. Using Hopf bifurcation analysis, two new critical conditions for oscillations, which can include the self-feedback projection of GPe, are obtained. In this paper, we find that the average discharge rate (ADR) is an important marker of oscillations, which can divide Hopf bifurcations into two types that can uniformly be used to explain the oscillation mechanism. Interestingly, the ADR of the cortex first increases and then decreases with increasing coupling weights that are projected to the GPe. Regarding the Hopf bifurcation critical conditions, the quantitative relationship between the inhibitory projection and excitatory projection to the GPe is monotonically increasing; in contrast, the relationship between different coupling weights in the cortex is monotonically decreasing. In general, the oscillation amplitude is the lowest near the bifurcation points and reaches the maximum value with the evolution of oscillations. The GPe is an effective target for deep brain stimulation to alleviate oscillations in the cortex.