An identification problem in electromyography

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Sproll, Tobias ; Schiela, Anton:
An identification problem in electromyography.
Bayreuth , 2021 . - 21 S.
DOI: https://doi.org/10.15495/EPub_UBT_00005699

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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.