Suppressing epileptic activity in a neural mass model using a closed-loop proportional-integral controller.
Closed-loop control is a promising deep brain stimulation (DBS) strategy that could be used to suppress high-amplitude epileptic activity. However, there are currently no analytical approaches to determine the stimulation parameters for effective and safe treatment protocols. Proportional-integral (PI) control is the most extensively used closed-loop control scheme in the field of control engineering because of its simple implementation and perfect performance. In this study, we took Jansen's neural mass model (NMM) as a test bed to develop a PI-type closed-loop controller for suppressing epileptic activity. A graphical stability analysis method was employed to determine the stabilizing region of the PI controller in the control parameter space, which provided a theoretical guideline for the choice of the PI control parameters. Furthermore, we established the relationship between the parameters of the PI controller and the parameters of the NMM in the form of a stabilizing region, which provided insights into the mechanisms that may suppress epileptic activity in the NMM. The simulation results demonstrated the validity and effectiveness of the proposed closed-loop PI control scheme.
School of Biomedical Engineering, Tianjin Medical University, Tianjin 300070, China.
Junsong
J
Wang
Zanvyl Krieger Mind/Brain Institute and Solomon Snyder Department of Neuroscience, Johns Hopkins University, Baltimore, MD 21218, USA.
Ernst
E
Niebur
Division of Immunology and Rheumatology, Department of Medicine, Stanford University, Stanford, CA 94305, USA.
Jinyu
J
Hu
National Key Laboratory of Cognitive Neuroscience and Learning, Beijing Normal University, Beijing 100875, China.
Xiaoli
X
Li
D003198:Computer Simulation; D046690:Deep Brain Stimulation / Q000295:instrumentation / Q000379:methods*; D004569:Electroencephalography; D004867:Equipment Design; D006801:Humans; D012640:Seizures / Q000628:therapy*