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An identification problem in electromyography

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005699
URN to cite this document: urn:nbn:de:bvb:703-epub-5699-7

Title data

Sproll, Tobias ; Schiela, Anton:
An identification problem in electromyography.
Bayreuth , 2021 . - 21 S.
DOI der Verlagsversion: 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.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen in: Inverse Problems. (November 2021), S. 1-21, ISSN 1361-6420, https://doi.org/10.1088/1361-6420/ac362c
Keywords: nonlinear optimization in function spaces; electromyography; biomedical modeling;
identification problem in medical application
Subject classification: Mathematics Subject Classification Code: 35R30, 92C55, 49J20
DDC Subjects: 500 Science > 510 Mathematics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics > Chair Applied Mathematics - Univ.-Prof. Dr. Anton Schiela
Profile Fields > Advanced Fields > Nonlinear Dynamics
Research Institutions > Central research institutes > Bayreuth Research Center for Modeling and Simulation - MODUS
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Profile Fields
Profile Fields > Advanced Fields
Research Institutions
Research Institutions > Central research institutes
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5699-7
Date Deposited: 22 Jul 2021 06:02
Last Modified: 19 Nov 2021 07:15
URI: https://epub.uni-bayreuth.de/id/eprint/5699
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