Firing activities and magnetic stimulation effects in a Cortico-basal ganglia-thalamus neural network

Zilu Cao; Lin Du; Honghui Zhang; Lianghui Qu; Luyao Yan; Zichen Deng; Zilu Cao; Lin Du; Honghui Zhang; Lianghui Qu; Luyao Yan; Zichen Deng

doi:10.3934/era.2022104

Electronic Research Archive

2022, Volume 30, Issue 6: 2054-2074. doi: 10.3934/era.2022104

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Firing activities and magnetic stimulation effects in a Cortico-basal ganglia-thalamus neural network

1.
School of Mathematics and Statistics, Northwestern Polytechnical University, 1 Dongxiang Road, Chang'an District, Xi'an, Shaanxi, 710129, China
2.
School of Aeronautics, Northwestern Polytechnical University, 127 West Youyi Road, Beilin District, Xi'an, Shaanxi, 710072, China
3.
College of Science, Zhongyuan University of Technology, No. 41 Zhongyuan Road (M), Zhengzhou, Henan, 450007, China
4.
MIIT Key Laboratory of Dynamics and Control of Complex Systems, 1 Dongxiang Road, Chang'an District, Xi'an, Shaanxi, 710129, China

Received: 28 September 2021 Revised: 29 November 2021 Accepted: 09 December 2021 Published: 14 April 2022

Parkinson's disease (PD) is mainly characterized by changes of firing and pathological oscillations in the basal ganglia (BG). In order to better understand the therapeutic effect of noninvasive magnetic stimulation, which has been used in the treatment of PD, we employ the Izhikevich neuron model as the basic node to study the electrical activity and the controllability of magnetic stimulation in a cortico-basal ganglia-thalamus (CBGT) network. Results show that the firing properties of the physiological and pathological state can be reproduced. Additionally, the electrical activity of pyramidal neurons and strong synapse connection in the hyperdirect pathway cause abnormal $ \beta $-band oscillations and excessive synchrony in the subthalamic nucleus (STN). Furthermore, the pathological firing properties of STN can be efficiently suppressed by external magnetic stimulation. The statistical results give the fitted boundary curves between controllable and uncontrollable regions. This work helps to understand the dynamic response of abnormal oscillation in the PD-related nucleus and provides insights into the mechanisms behind the therapeutic effect of magnetic stimulation.
- CBGT network,
- magnetic stimulation,
- $ \beta $-band oscillation,
- excessive synchrony
Citation: Zilu Cao, Lin Du, Honghui Zhang, Lianghui Qu, Luyao Yan, Zichen Deng. Firing activities and magnetic stimulation effects in a Cortico-basal ganglia-thalamus neural network[J]. Electronic Research Archive, 2022, 30(6): 2054-2074. doi: 10.3934/era.2022104

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Abstract

Parkinson's disease (PD) is mainly characterized by changes of firing and pathological oscillations in the basal ganglia (BG). In order to better understand the therapeutic effect of noninvasive magnetic stimulation, which has been used in the treatment of PD, we employ the Izhikevich neuron model as the basic node to study the electrical activity and the controllability of magnetic stimulation in a cortico-basal ganglia-thalamus (CBGT) network. Results show that the firing properties of the physiological and pathological state can be reproduced. Additionally, the electrical activity of pyramidal neurons and strong synapse connection in the hyperdirect pathway cause abnormal $ \beta $-band oscillations and excessive synchrony in the subthalamic nucleus (STN). Furthermore, the pathological firing properties of STN can be efficiently suppressed by external magnetic stimulation. The statistical results give the fitted boundary curves between controllable and uncontrollable regions. This work helps to understand the dynamic response of abnormal oscillation in the PD-related nucleus and provides insights into the mechanisms behind the therapeutic effect of magnetic stimulation.

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