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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 (2021) Issue 12 . - No. 125012.
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:	15 Sep 2022 12:21
URI:	https://eref.uni-bayreuth.de/id/eprint/67930

Available Versions of this Item

An identification problem in electromyography. (deposited 24 Jul 2021 21:00)
- An adjoint approach to identification in Electromyography : Modeling and first order optimality conditions. (deposited 19 Nov 2021 11:39) [Currently Displayed]