中国物理B ›› 2015, Vol. 24 ›› Issue (3): 38701-038701.doi: 10.1088/1674-1056/24/3/038701
• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇 下一篇
Closed-loop control of epileptiform activities in a neural population model using a proportional-derivative controller
王俊松a b, 王美丽a, 李小俚c, Ernst Nieburb
- a School of Biomedical Engineering, Tianjin Medical University, Tianjin 300072, China;
b Zanvyl Krieger Mind/Brain Institute and Solomon Snyder Department of Neuroscience, Johns Hopkins University, Baltimore 21218, MD, USA;
c National Key Laboratory of Cognitive Neuroscience and Learning, Beijing Normal University, Beijing 100875, China
Closed-loop control of epileptiform activities in a neural population model using a proportional-derivative controller
Wang Jun-Song (王俊松)a b, Wang Mei-Li (王美丽)a, Li Xiao-Li (李小俚)c, Ernst Nieburb
- a School of Biomedical Engineering, Tianjin Medical University, Tianjin 300072, China;
b Zanvyl Krieger Mind/Brain Institute and Solomon Snyder Department of Neuroscience, Johns Hopkins University, Baltimore 21218, MD, USA;
c National Key Laboratory of Cognitive Neuroscience and Learning, Beijing Normal University, Beijing 100875, China
摘要：
Epilepsy is believed to be caused by a lack of balance between excitation and inhibitation in the brain. A promising strategy for the control of the disease is closed-loop brain stimulation. How to determine the stimulation control parameters for effective and safe treatment protocols remains, however, an unsolved question. To constrain the complex dynamics of the biological brain, we use a neural population model (NPM). We propose that a proportional-derivative (PD) type closed-loop control can successfully suppress epileptiform activities. First, we determine the stability of root loci, which reveals that the dynamical mechanism underlying epilepsy in the NPM is the loss of homeostatic control caused by the lack of balance between excitation and inhibition. Then, we design a PD type closed-loop controller to stabilize the unstable NPM such that the homeostatic equilibriums are maintained; we show that epileptiform activities are successfully suppressed. A graphical approach is employed to determine the stabilizing region of the PD controller in the parameter space, providing a theoretical guideline for the selection of the PD control parameters. Furthermore, we establish the relationship between the control parameters and the model parameters in the form of stabilizing regions to help understand the mechanism of suppressing epileptiform activities in the NPM. Simulations show that the PD-type closed-loop control strategy can effectively suppress epileptiform activities in the NPM.
中图分类号: (Control theory and feedback)
- 87.19.lr