Dynamical Analyses on Beta Oscillations in a STN-GPE-GPI Model of Parkinson’s Disease

Exploring the behaviors of beta oscillations in the basal ganglia is helpful to understand the mechanism of Parkinson’s disease. Studies have shown that the external and internal segments (GPe, GPi) of the globus pallidus receive different intensities of signals from the striatum in Parkinson’s dise...

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Main Authors: Yuanhong Bi, Quansheng Liu, Jingyi Zhao, Wuritu Yang
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/4376279
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author Yuanhong Bi
Quansheng Liu
Jingyi Zhao
Wuritu Yang
author_facet Yuanhong Bi
Quansheng Liu
Jingyi Zhao
Wuritu Yang
author_sort Yuanhong Bi
collection DOAJ
description Exploring the behaviors of beta oscillations in the basal ganglia is helpful to understand the mechanism of Parkinson’s disease. Studies have shown that the external and internal segments (GPe, GPi) of the globus pallidus receive different intensities of signals from the striatum in Parkinson’s disease and play different roles in the production of beta oscillations, but the relevant mechanism still remains unclear. Based on a model of the subthalamic nucleus (STN) and globus pallidus (GP), we propose an extended STN-GPe-GPi model and analyze the dynamical behaviors of beta oscillations in this model. The stability condition is obtained through theoretical analyses, and the generation of beta oscillations by the inputs from the cortex and striatum is further considered. The influence of some parameters related to GPi on its firing rate oscillations is discussed. The results obtained in this paper are expected to play a guiding role in the medical treatment of Parkinson’s disease.
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spelling doaj-art-bd158a0352a0467ea9c7909e6b17493d2025-02-03T05:52:29ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/43762794376279Dynamical Analyses on Beta Oscillations in a STN-GPE-GPI Model of Parkinson’s DiseaseYuanhong Bi0Quansheng Liu1Jingyi Zhao2Wuritu Yang3School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaState Key Laboratory of Reproductive Regulation and Breeding of Grassland Livestock, College of Life Sciences, Inner Mongolia University, Hohhot 010021, ChinaExploring the behaviors of beta oscillations in the basal ganglia is helpful to understand the mechanism of Parkinson’s disease. Studies have shown that the external and internal segments (GPe, GPi) of the globus pallidus receive different intensities of signals from the striatum in Parkinson’s disease and play different roles in the production of beta oscillations, but the relevant mechanism still remains unclear. Based on a model of the subthalamic nucleus (STN) and globus pallidus (GP), we propose an extended STN-GPe-GPi model and analyze the dynamical behaviors of beta oscillations in this model. The stability condition is obtained through theoretical analyses, and the generation of beta oscillations by the inputs from the cortex and striatum is further considered. The influence of some parameters related to GPi on its firing rate oscillations is discussed. The results obtained in this paper are expected to play a guiding role in the medical treatment of Parkinson’s disease.http://dx.doi.org/10.1155/2020/4376279
spellingShingle Yuanhong Bi
Quansheng Liu
Jingyi Zhao
Wuritu Yang
Dynamical Analyses on Beta Oscillations in a STN-GPE-GPI Model of Parkinson’s Disease
Complexity
title Dynamical Analyses on Beta Oscillations in a STN-GPE-GPI Model of Parkinson’s Disease
title_full Dynamical Analyses on Beta Oscillations in a STN-GPE-GPI Model of Parkinson’s Disease
title_fullStr Dynamical Analyses on Beta Oscillations in a STN-GPE-GPI Model of Parkinson’s Disease
title_full_unstemmed Dynamical Analyses on Beta Oscillations in a STN-GPE-GPI Model of Parkinson’s Disease
title_short Dynamical Analyses on Beta Oscillations in a STN-GPE-GPI Model of Parkinson’s Disease
title_sort dynamical analyses on beta oscillations in a stn gpe gpi model of parkinson s disease
url http://dx.doi.org/10.1155/2020/4376279
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