cs.LGMar 11, 2026

Taming Epilepsy: Mean Field Control of Whole-Brain Dynamics

Authors: Ming Li, Ting Gao, Jingqiao Dua

Organizations: School of Mathematics and Information Science, Guangzhou University, Guangzhou 510000, China. · School of Sciences, Great Bay University, Dongguan 523000, China. · Guangdong Provincial Key Laboratory of Mathematical and Neural Dynamical Systems, Great Bay University, Dongguan 523000, China. · School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China. · 

Abstract

Controlling the high-dimensional neural dynamics during epileptic seizures remains a significant challenge due to the nonlinear characteristics and complex connectivity of the brain. In this paper, we propose a novel framework, namely Graph-Regularized Koopman Mean-Field Game (GK-MFG), which integrates Reservoir Computing (RC) for Koopman operator approximation with Alternating Population and Agent Control Network (APAC-Net) for solving distributional control problems. By embedding Electroencephalogram (EEG) dynamics into a linear latent space and imposing graph Laplacian constraints derived from the Phase Locking Value (PLV), our method achieves robust seizure suppression while respecting the functional topological structure of the brain.

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