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

Title data

Sproll, Tobias ; Schiela, Anton:
An adjoint approach to identification in Electromyography : Modeling and first order optimality conditions.
In: Inverse Problems. Vol. 37 (November 2021) . - 22 S..
ISSN 0266-5611
DOI: https://doi.org/10.1088/1361-6420/ac362c

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Abstract in another language

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: Article in a journal
Refereed: Yes
Additional notes: online available
Keywords: nonlinear optimization in function spaces; electromyography; biomedical modeling;
identification problem in medical application
Subject classification: Mathematics Subject Classification Code: 35R30, 92C55, 49J20
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 > Research Centres > Forschungszentrum für Modellbildung und 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 > Research Centres
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 19 Nov 2021 11:39
Last Modified: 19 Nov 2021 11:39
URI: https://eref.uni-bayreuth.de/id/eprint/67930

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