title: Controllability Analysis of the Neural Mass Model with Dynamic Parameters.
abstract: The development of control technology for the brain is of potential significance to the prevention and treatment of neuropsychiatric disorders and the improvement of humans' mental health. A controllability analysis of the brain is necessary to ensure the feasibility of the brain control. In this letter, we investigate the influences of dynamical parameters on the controllability in the neural mass model by using controllability indices as quantitative indicators. The indices are obtained by computing Lie brackets and condition numbers of the system model. We show how controllability changes with important parameters of our dynamical (neuronal) model. Our results suggest that the underlying dynamical parameters have certain ranges with better controllability. We hope it can play potential roles in therapy for brain nervous disorder disease.
authors.affiliation: Key Lab of Industrial Computer Control Engineering of Hebei Province, Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, P.R.C. liuxian@ysu.edu.cn.
authors.forename: Xian
authors.initials: X
authors.lastname: Liu
authors.affiliation: Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, P.R.C. 973158322@qq.com.
authors.forename: Jing
authors.initials: J
authors.lastname: Gao
authors.affiliation: Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, P.R.C. 1666865989@qq.com.
authors.forename: Guan
authors.initials: G
authors.lastname: Wang
authors.affiliation: Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, P.R.C. czwaaron@ysu.edu.cn.
authors.forename: Zhi-Wang
authors.initials: ZW
authors.lastname: Chen
mesh_terms: D001921:Brain / Q000502:physiology* / Q000503:physiopathology; D006801:Humans; D008959:Models, Neurological; D009422:Nervous System Diseases / Q000503:physiopathology / Q000628:therapy; D009433:Neural Inhibition; D009434:Neural Pathways / Q000502:physiology / Q000503:physiopathology