Hu Bing, Diao Xiyezi, Guo Heng, Deng Shasha, Shi Yu, Deng Yuqi, Zong Liqing
1Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, 310023 China.
2Key Laboratory of Systems Biology, Innovation Center for Cell Signaling Network, Institute of Biochemistry and Cell Biology, Shanghai Institute of Biological Sciences, Chinese Academy of Sciences, Shanghai, 200031 China.
Cogn Neurodyn. 2019 Apr;13(2):201-217. doi: 10.1007/s11571-018-9514-0. Epub 2018 Dec 4.
Parkinson's disease is a type of motor dysfunction disease that is induced mainly by abnormal interactions between the subthalamic nucleus (STN) and globus pallidus (GP) neurons. Periodic oscillatory activities with frequencies of 13-30 Hz are the main physiological characteristics of Parkinson's disease. In this paper, we built a class of STN-GP networks to explore beta oscillation conditions. A theoretical formula was obtained for generating oscillations without internal GP connections. Based on this formula, we studied the effects of cortex inputs, striatum inputs, coupling weights and delays on oscillation conditions, and the theoretical results are in good agreement with the numerical results. The onset mechanism can be explained by the model, and the internal GP connection has little effect on oscillations. Finally, we compared oscillation conditions with those in previous studies and found that the delays and coupling weights required for generating oscillations may decrease as the number of nuclei increases. We hope that the results obtained will inspire future theoretical and experimental studies.
帕金森病是一种运动功能障碍疾病，主要由丘脑底核（STN）与苍白球（GP）神经元之间的异常相互作用引起。频率为13 - 30赫兹的周期性振荡活动是帕金森病的主要生理特征。在本文中，我们构建了一类STN - GP网络来探索β振荡条件。得到了一个在没有内部GP连接的情况下产生振荡的理论公式。基于该公式，我们研究了皮层输入、纹状体输入、耦合权重和延迟对振荡条件的影响，理论结果与数值结果吻合良好。该模型可以解释发病机制，并且内部GP连接对振荡影响很小。最后，我们将振荡条件与先前研究中的条件进行了比较，发现随着核数量的增加，产生振荡所需的延迟和耦合权重可能会降低。我们希望所获得的结果能为未来的理论和实验研究提供启发。
