Bifurcation and uncertainty quantification of abnormal <italic style="font-style: italic">β</italic> oscillations in Parkinson's model with GPe heterogeneity

CHEN Yaqian; KANG Yanmei; GAO Fengyin

doi:10.16152/j.cnki.xdxbzr.2025-05-012

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Bifurcation and uncertainty quantification of abnormal β oscillations in Parkinson's model with GPe heterogeneity

更新时间：2025-10-31

- Bifurcation and uncertainty quantification of abnormal β oscillations in Parkinson's model with GPe heterogeneity
- Journal of Northwest University (Natural Science Edition) Vol. 55, Issue 5, Pages: 1085-1094(2025)
- 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：
- 基金信息：
- DOI：10.16152/j.cnki.xdxbzr.2025-05-012
  CLC： O29;O175
- Received：25 December 2024，
  
  Published：25 October 2025
- 稿件说明：
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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：

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

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

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

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

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

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

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.

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references

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Bifurcation and uncertainty quantification of abnormal β oscillations in Parkinson's model with GPe heterogeneity

DOI：10.16152/j.cnki.xdxbzr.2025-05-012

摘要

Abstract

关键词

Keywords

references