论文标题
分析由于深脑刺激脉冲引起的神经簇
Analysis of Neural Clusters due to Deep Brain Stimulation Pulses
论文作者
论文摘要
深脑刺激（DBS）是一种治疗病理状况的既定方法，例如帕金森氏病，肌张力障碍，图雷特综合征和必需震颤。虽然尚未完全理解DBS的有效性的确切机制，但周期性脉冲刺激神经振荡剂种群的理论研究表明，这可能与聚类有关，其中神经元的亚群是同步的，但是亚群是彼此相对于彼此而言的。聚类行为的细节取决于复杂的刺激的频率和振幅。在本研究中，我们研究了如何根据圆圈定义的一维图来理解簇的数量，它们的稳定性及其吸引力盆地。此外，我们将此分析推广到由具有交替性能的脉冲组成的刺激，这些脉冲在DBS刺激的设计中提供了额外的自由度。我们的结果说明了如何通过更简单的动态系统来理解定期强迫神经振荡器种群的聚类行为的复杂特性。
Deep brain stimulation (DBS) is an established method for treating pathological conditions such as Parkinson's disease, dystonia, Tourette syndrome, and essential tremor. While the precise mechanisms which underly the effectiveness of DBS are not fully understood, theoretical studies of populations of neural oscillators stimulated by periodic pulses suggest that this may be related to clustering, in which subpopulations of the neurons are synchronized, but the subpopulations are desynchronized with respect to each other. The details of the clustering behavior depend on the frequency and amplitude of the stimulation in a complicated way. In the present study, we investigate how the number of clusters, their stability properties, and their basins of attraction can be understood in terms of one-dimensional maps defined on the circle. Moreover, we generalize this analysis to stimuli that consist of pulses with alternating properties, which provide additional degrees of freedom in the design of DBS stimuli. Our results illustrate how the complicated properties of clustering behavior for periodically forced neural oscillator populations can be understood in terms of a much simpler dynamical system.
