An adjoint approach to identification in Electromyography : Modeling and first order optimality conditions

Titelangaben

Sproll, Tobias ; Schiela, Anton:
An adjoint approach to identification in Electromyography : Modeling and first order optimality conditions.
In: Inverse Problems. Bd. 37 (2021) Heft 12 . - 125012.
ISSN 0266-5611
DOI: https://doi.org/10.1088/1361-6420/ac362c

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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.