An adjoint approach to identification in electromyography: modeling and first order optimality conditions. (26th November 2021)

• Record Type: Journal Article
• Authors: Sproll, Tobias; Schiela, Anton
• Is Part Of: Inverse problems. Volume 37:Number 12(2021)
• Publication Date: 2021-11-26
• Subjects: nonlinear optimization in function spaces -- electromyography -- biomedical modeling -- identification problem in medical application; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/ac362c
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: In medical treatment it can be necessary to know the position of a motor unit in a muscle. Recent advances in high-density surface electromyography (EMG) measurement have opened the possibility of extracting information about single motor units. We present a mathematical approach to identify these motor units. On the base of an electrostatic forward model, we introduce an adjoint approach to efficiently simulate a surface EMG measurement and an optimal control approach to identify these motor units. We show basic results on existence of solutions and first-order optimality conditions.