Cognitive Neurodynamics

, Volume 13, Issue 2, pp 201–217 | Cite as

The beta oscillation conditions in a simplified basal ganglia network

  • Bing HuEmail author
  • Xiyezi Diao
  • Heng Guo
  • Shasha Deng
  • Yu Shi
  • Yuqi Deng
  • Liqing Zong
Research Article


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.


Parkinson’s disease Globus pallidus Subthalamic nucleus Beta oscillation conditions 



This research was supported by the National Science Foundation of China (Grant Nos. 11602092); the Natural Science Foundation of Hubei Province (Grant No. 2018CFB628); the China Postdoctoral Science Foundation (Grant No. 2018M632184); the National Undergraduate Training Program for Innovation and Entrepreneurship of Huazhong Agricultural University (Grant Nos. 201710504092, 201810504104) and the Scientific and technological innovation fund for college students (SRF) of Huazhong Agricultural University (Grant No. 2018323).


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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  • Bing Hu
    • 1
    • 2
    Email author
  • Xiyezi Diao
    • 3
  • Heng Guo
    • 3
  • Shasha Deng
    • 3
  • Yu Shi
    • 3
  • Yuqi Deng
    • 3
  • Liqing Zong
    • 3
  1. 1.Department of Applied MathematicsZhejiang University of TechnologyHangzhouChina
  2. 2.Key Laboratory of Systems Biology, Innovation Center for Cell Signaling Network, Institute of Biochemistry and Cell Biology, Shanghai Institute of Biological SciencesChinese Academy of SciencesShanghaiChina
  3. 3.Department of Mathematics and Statistics, College of ScienceHuazhong Agricultural UniversityWuhanChina

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