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
Acknowledgements
This work was 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). The authors would like to thank the anonymous referees for their efforts and valuable comments.
Footnotes
Citation: SUN, Z. K., LIU, Y. Y., YANG, X. L., and XU, W. Control of epileptic activities in a cortex network of multiple coupled neural populations under electromagnetic induction. Applied Mathematics and Mechanics (English Edition), 44(3), 499–514 (2023) 10.1007/s10483-023-2969-9
Project 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)
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