The possible mechanism of direct feedback projections from basal ganglia to cortex in beta oscillations of Parkinson's disease: A theoretical evidence in the competing …

Z Wang, B Hu, L Zhu, J Lin, M Xu, D Wang - Communications in Nonlinear …, 2023 - Elsevier
In this paper, we use a cortex-basal ganglia resonance network to explore the possible Hopf
bifurcation mechanism of beta oscillation. Different from traditional viewpoints, this model …

Hopf bifurcation analysis for Parkinson oscillation with heterogeneous delays: A theoretical derivation and simulation analysis

Z Wang, B Hu, L Zhu, J Lin, M Xu, D Wang - Communications in Nonlinear …, 2022 - Elsevier
In this paper, we systematically study Parkinson oscillation origin mechanism, oscillation
amplitude and frequency characteristics in an improved cortex-basal ganglia (EXN-INN-STN …

Emergence of beta oscillations of a resonance model for Parkinson's disease

Y Chen, J Wang, Y Kang, MB Ghori - Neural plasticity, 2020 - Wiley Online Library
In Parkinson's disease, the excess of beta oscillations in cortical‐basal ganglia (BG) circuits
has been correlated with normal movement suppression. In this paper, a physiologically …

Hopf bifurcation mechanism analysis in an improved cortex-basal ganglia network with distributed delays: An application to Parkinson's disease

Z Wang, B Hu, W Zhou, M Xu, D Wang - Chaos, Solitons & Fractals, 2023 - Elsevier
In this paper, we introduce general distributed delays (in pathways between different
neurons) and self-feedback distributed delays (in self-feedback pathways) into an improved …

Mathematical derivation and mechanism analysis of beta oscillations in a cortex-pallidum model

M Xu, B Hu, Z Wang, L Zhu, J Lin, D Wang - Cognitive Neurodynamics, 2023 - Springer
In this paper, we develop a new cortex-pallidum model to study the origin mechanism of
Parkinson's oscillations in the cortex. In contrast to many previous models, the globus …

Emergence of pathological beta oscillation and its uncertainty quantification in a time-delayed feedback Parkinsonian model

Y Chen, H Nakao, Y Kang - Chaos, Solitons & Fractals, 2024 - Elsevier
It has been experimentally found that transmission delays play an important role in the
emergence of excessively synchronized beta oscillations (13–30 Hz) related to the onset of …

A bidirectional Hopf bifurcation analysis of Parkinson's oscillation in a simplified basal ganglia model

B Hu, M Xu, L Zhu, J Lin, Z Wang, D Wang… - Journal of Theoretical …, 2022 - Elsevier
In this paper, we study the parkinson oscillation mechanism in a computational model by
bifurcation analysis and numerical simulation. Oscillatory activities can be induced by …

The beta oscillation conditions in a simplified basal ganglia network

B Hu, X Diao, H Guo, S Deng, Y Shi, Y Deng… - Cognitive …, 2019 - Springer
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) …

Oscillation dynamics in an extended model of thalamic-basal ganglia

Y Yu, Q Wang - Nonlinear Dynamics, 2019 - Springer
The increase in oscillations in beta-band (13–30 Hz) of the basal ganglia (BG) is a hallmark
neural dynamic feature of Parkinson's disease (PD). Physiological studies have shown that …

A neural mass model of basal ganglia nuclei simulates pathological beta rhythm in Parkinson's disease

F Liu, J Wang, C Liu, H Li, B Deng… - … Journal of Nonlinear …, 2016 - pubs.aip.org
An increase in beta oscillations within the basal ganglia nuclei has been shown to be
associated with movement disorder, such as Parkinson's disease. The motor cortex and an …