Applied Mathematics and Mechanics (English Edition) ›› 2023, Vol. 44 ›› Issue (3): 499-514.doi: https://doi.org/10.1007/s10483-023-2969-9

• 论文 • 上一篇    

Control of epileptic activities in a cortex network of multiple coupled neural populations under electromagnetic induction

Zhongkui SUN1, Yuanyuan LIU1, Xiaoli YANG2, Wei XU1   

  1. 1. School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710129, China;
    2. School of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710062, China
  • 收稿日期:2022-09-15 修回日期:2022-12-30 发布日期:2023-02-27
  • 通讯作者: Zhongkui SUN, E-mail: dynsun@126.com
  • 基金资助:
    the National Natural Science Foundation of China (Nos. 11772254 and 11972288) and the Innovation Foundation for Doctor Dissertation of Northwestern Polytechnical University of China (No. CX2021106)

Control of epileptic activities in a cortex network of multiple coupled neural populations under electromagnetic induction

Zhongkui SUN1,, Yuanyuan LIU1, Xiaoli YANG2, Wei XU1   

  1. 1. School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710129, China;
    2. School of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710062, China
  • Received:2022-09-15 Revised:2022-12-30 Published:2023-02-27
  • Contact: Zhongkui SUN, E-mail: dynsun@126.com
  • Supported by:
    the National Natural Science Foundation of China (Nos. 11772254 and 11972288) and the Innovation Foundation for Doctor Dissertation of Northwestern Polytechnical University of China (No. CX2021106)

摘要: Epilepsy is believed to be associated with the abnormal synchronous neuronal activity in the brain, which results from large groups or circuits of neurons. In this paper, we choose to focus on the temporal lobe epilepsy, and establish a cortex network of multiple coupled neural populations to explore the epileptic activities under electromagnetic induction. We demonstrate that the epileptic activities can be controlled and modulated by electromagnetic induction and coupling among regions. In certain regions, these two types of control are observed to show exactly reverse effects. The results show that the strong electromagnetic induction is conducive to eliminating the epileptic seizures. The coupling among regions has a conduction effect that the previous normal background activity of the region gives way to the epileptic discharge, owing to coupling with spike wave discharge regions. Overall, these results highlight the role of electromagnetic induction and coupling among the regions in controlling and modulating epileptic activities, and might provide novel insights into the treatments of epilepsy.

关键词: epilepsy, electromagnetic induction, multiple coupled neural population, dynamical transition

Abstract: Epilepsy is believed to be associated with the abnormal synchronous neuronal activity in the brain, which results from large groups or circuits of neurons. In this paper, we choose to focus on the temporal lobe epilepsy, and establish a cortex network of multiple coupled neural populations to explore the epileptic activities under electromagnetic induction. We demonstrate that the epileptic activities can be controlled and modulated by electromagnetic induction and coupling among regions. In certain regions, these two types of control are observed to show exactly reverse effects. The results show that the strong electromagnetic induction is conducive to eliminating the epileptic seizures. The coupling among regions has a conduction effect that the previous normal background activity of the region gives way to the epileptic discharge, owing to coupling with spike wave discharge regions. Overall, these results highlight the role of electromagnetic induction and coupling among the regions in controlling and modulating epileptic activities, and might provide novel insights into the treatments of epilepsy.

Key words: epilepsy, electromagnetic induction, multiple coupled neural population, dynamical transition

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