Generating mechanism of pathological beta oscillations in STN-GPe circuit model: A bifurcation study

doi:10.1088/1674-1056/ab7e9b

中国物理B ›› 2020, Vol. 29 ›› Issue (5): 58701-058701.doi: 10.1088/1674-1056/ab7e9b

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Generating mechanism of pathological beta oscillations in STN-GPe circuit model: A bifurcation study

Jing-Jing Wang(王静静), Yang Yao(姚洋), Zhi-Wei Gao(高志伟), Xiao-Li Li(李小俚), Jun-Song Wang(王俊松)

1 School of Biomedical Engineering, Tianjin Medical University, Tianjin 300070, China;
2 Faculty of Engineering and Environment, Northumbria University, NE1 8ST, UK;
3 National Key Laboratory of Cognitive Neuroscience and Learning, Beijing Normal University, Beijing 100875, China

收稿日期:2020-01-21 修回日期:2020-02-25 出版日期:2020-05-05 发布日期:2020-05-05
通讯作者: Jun-Song Wang E-mail:wjsong2004@126.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61473208 and 61876132) and the Tianjin Research Program of Application Foundation and Advanced Technology, China (Grant No. 15JCYBJC47700).

Generating mechanism of pathological beta oscillations in STN-GPe circuit model: A bifurcation study

Jing-Jing Wang(王静静)¹, Yang Yao(姚洋)¹, Zhi-Wei Gao(高志伟)², Xiao-Li Li(李小俚)³, Jun-Song Wang(王俊松)¹

1 School of Biomedical Engineering, Tianjin Medical University, Tianjin 300070, China;
2 Faculty of Engineering and Environment, Northumbria University, NE1 8ST, UK;
3 National Key Laboratory of Cognitive Neuroscience and Learning, Beijing Normal University, Beijing 100875, China

Received:2020-01-21 Revised:2020-02-25 Online:2020-05-05 Published:2020-05-05
Contact: Jun-Song Wang E-mail:wjsong2004@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61473208 and 61876132) and the Tianjin Research Program of Application Foundation and Advanced Technology, China (Grant No. 15JCYBJC47700).

摘要/Abstract

摘要： Parkinson's disease (PD) is characterized by pathological spontaneous beta oscillations (13 Hz-35 Hz) often observed in basal ganglia (BG) composed of subthalamic nucleus (STN) and globus pallidus (GPe) populations. From the viewpoint of dynamics, the spontaneous oscillations are related to limit cycle oscillations in a nonlinear system; here we employ the bifurcation analysis method to elucidate the generating mechanism of the pathological spontaneous beta oscillations underlined by coupling strengths and intrinsic properties of the STN-GPe circuit model. The results reveal that the increase of inter-coupling strength between STN and GPe populations induces the beta oscillations to be generated spontaneously, and causes the oscillation frequency to decrease. However, the increase of intra-coupling (self-feedback) strength of GPe can prevent the model from generating the oscillations, and dramatically increase the oscillation frequency. We further provide a theoretical explanation for the role played by the inter-coupling strength of GPe population in the generation and regulation of the oscillations. Furthermore, our study reveals that the intra-coupling strength of the GPe population provides a switching mechanism on the generation of the abnormal beta oscillations: for small value of the intra-coupling strength, STN population plays a dominant role in inducing the beta oscillations; while for its large value, the GPe population mainly determines the generation of this oscillation.

关键词: STN-GPe model, coupling strength, beta oscillation, bifurcation

Abstract: Parkinson's disease (PD) is characterized by pathological spontaneous beta oscillations (13 Hz-35 Hz) often observed in basal ganglia (BG) composed of subthalamic nucleus (STN) and globus pallidus (GPe) populations. From the viewpoint of dynamics, the spontaneous oscillations are related to limit cycle oscillations in a nonlinear system; here we employ the bifurcation analysis method to elucidate the generating mechanism of the pathological spontaneous beta oscillations underlined by coupling strengths and intrinsic properties of the STN-GPe circuit model. The results reveal that the increase of inter-coupling strength between STN and GPe populations induces the beta oscillations to be generated spontaneously, and causes the oscillation frequency to decrease. However, the increase of intra-coupling (self-feedback) strength of GPe can prevent the model from generating the oscillations, and dramatically increase the oscillation frequency. We further provide a theoretical explanation for the role played by the inter-coupling strength of GPe population in the generation and regulation of the oscillations. Furthermore, our study reveals that the intra-coupling strength of the GPe population provides a switching mechanism on the generation of the abnormal beta oscillations: for small value of the intra-coupling strength, STN population plays a dominant role in inducing the beta oscillations; while for its large value, the GPe population mainly determines the generation of this oscillation.

Key words: STN-GPe model, coupling strength, beta oscillation, bifurcation

中图分类号: (Neuronal network dynamics)

87.19.lj

87.19.ln (Oscillations and resonance) 82.40.Bj (Oscillations, chaos, and bifurcations)

王静静, 姚洋, 高志伟, 李小俚, 王俊松. Generating mechanism of pathological beta oscillations in STN-GPe circuit model: A bifurcation study[J]. 中国物理B, 2020, 29(5): 58701-058701.

Jing-Jing Wang(王静静), Yang Yao(姚洋), Zhi-Wei Gao(高志伟), Xiao-Li Li(李小俚), Jun-Song Wang(王俊松). Generating mechanism of pathological beta oscillations in STN-GPe circuit model: A bifurcation study[J]. Chin. Phys. B, 2020, 29(5): 58701-058701.

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Generating mechanism of pathological beta oscillations in STN-GPe circuit model: A bifurcation study

Generating mechanism of pathological beta oscillations in STN-GPe circuit model: A bifurcation study

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