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含GPe异质性的帕金森模型中异常
β 振荡的出现及不确定量化分析Bifurcation and uncertainty quantification of abnormal
β oscillations in Parkinson's model with GPe heterogeneity- 西北大学学报（自然科学版） 2025年55卷第5期 页码：1085-1094
- 作者机构：
1.西安交通大学 数学与统计学院，陕西 西安 710049
2.空军工程大学 基础部，陕西 西安 710051
- 作者简介：
陈亚倩，女，博士，从事认知神经动力学及不确定量化分析等研究，2282860781@qq.com。
康艳梅，女，教授，博士生导师，从事随机动力学、神经动力学等研究，ymkang@xjtu.edu.cn。
- 基金信息：国家自然科学基金(12172268);陕西省自然科学基金(2023-JC-YB-069);广东省动力系统与神经系统交叉研究重点实验室开放课题(DSN2025003)
DOI：10.16152/j.cnki.xdxbzr.2025-05-012
中图分类号： O29;O175收稿：2024-12-25，
纸质出版：2025-10-25
- 稿件说明：
移动端阅览
陈亚倩, 康艳梅, 高凤银. 含GPe异质性的帕金森模型中异常
β 振荡的出现及不确定量化分析[J]. 西北大学学报（自然科学版）, 2025,55(5):1085-1094.CHEN Yaqian, KANG Yanmei, GAO Fengyin. Bifurcation and uncertainty quantification of abnormal
β oscillations in Parkinson's model with GPe heterogeneity[J]. Journal of northwest university (natural science edition), 2025, 55(5): 1085-1094.陈亚倩, 康艳梅, 高凤银. 含GPe异质性的帕金森模型中异常
β 振荡的出现及不确定量化分析[J]. 西北大学学报（自然科学版）, 2025,55(5):1085-1094. DOI： 10.16152/j.cnki.xdxbzr.2025-05-012.CHEN Yaqian, KANG Yanmei, GAO Fengyin. Bifurcation and uncertainty quantification of abnormal
β oscillations in Parkinson's model with GPe heterogeneity[J]. Journal of northwest university (natural science edition), 2025, 55(5): 1085-1094. DOI： 10.16152/j.cnki.xdxbzr.2025-05-012.
摘要
已有实验研究发现，帕金森患者基底神经节〔主要是丘脑底核（STN）及外侧苍白球（GPe）〕的神经元群与大脑皮层的神经元群会产生频率介于13~30 Hz的同步异常
β
振荡；而且在该疾病中外侧苍白球的功能具有异质性，即可将其分为A型和I型2类。为了探讨突触时滞对这种异常
β
振荡出现的影响，建立了一个包含STN、A型GPe、I型GPe及兴奋与抑制性皮层神经元群的均场模型，并运用Hopf分岔理论研究了突触传输时滞对异常
β
振荡的调控作用。考虑到该模型中突触权重难以准确测量，进一步运用多项式混沌展开和Sobol灵敏度分析对该参数进行了不确定性量化分析。研究表明，皮层对STN的兴奋性连接权重以及A型GPe对STN的抑制性连接权重是调控该模型中异常振荡频率的主要因素。研究还表明：在间接调控STN活动的突触权重中，皮层内部连接权重的改变对异常振荡频率也具有较大的影响。
Abstract
Experimental studies have found that the basal ganglia neurons (mainly the subthalamic nucleus (STN) and the globus pallidus pars externa (GPe)) and the cortical neurons produce synchronous abnormal
β
oscillations with frequencies ranging from 13~30 Hz in Parkinson's patients. Moreover
it was found that the GPe exists function heterogeneity in the disease
and it can be classified into two types: type-A and type-I. In order to investigate the effect of synaptic transmission delay on the occurrence of abnormal
β
oscillations
a mean field model which includes STN
A-type GPe
I-type GPe
as well as excitatory and inhibitory cortical neuron populations was established. The regulatory effect of synaptic transmission delay on abnormal
β
oscillations was studied with Hopf bifurcation theory. Considering the difficulty in accurately measuring synaptic weights in this model
we further conducted uncertainty quantification on the parameters with polynomial chaos expansion and Sobol' sensitivity analysis. It was revealed that the excitatory connection weight from cortex to the STN and the inhibitory connection weight
from type-A GPe to the STN are the main factors regulating the oscillation frequency in the model. Meanwhile
within the synaptic weights that indirectly regulate STN activity
changes in cortical connection weights also have a significant impact on the oscillation frequency of the model.
关键词
Keywords
references
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