An adjoint approach to identification in electromyography: modeling and first order optimality conditions
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Published:2021-11-26
Issue:12
Volume:37
Page:125012
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ISSN:0266-5611
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Container-title:Inverse Problems
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language:
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Short-container-title:Inverse Problems
Author:
Sproll TobiasORCID,
Schiela Anton
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.
Subject
Applied Mathematics,Computer Science Applications,Mathematical Physics,Signal Processing,Theoretical Computer Science
Reference36 articles.
1. Relationship of intracellular and extracellular action potentials of skeletal muscle fibers;Andreassen;Crit. Rev. Bioeng.,1981
2. The Dune framework: basic concepts and recent developments;Bastian;Comput. Math. Appl.,2021