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Optimization and Engineering
Erschienen in: Optimization and Engineering 3/2018

21.06.2018 | Research Article

Controlling the Kelvin force: basic strategies and applications to magnetic drug targeting

verfasst von: Harbir Antil, Ricardo H. Nochetto, Pablo Venegas

Erschienen in: Optimization and Engineering | Ausgabe 3/2018

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Abstract

Motivated by problems arising in magnetic drug targeting, we propose to generate an almost constant Kelvin (magnetic) force in a target subdomain, moving along a prescribed trajectory. This is carried out by solving a minimization problem with a tracking type cost functional. The magnetic sources are assumed to be dipoles and the control variables are the magnetic field intensity, the source location and the magnetic field direction. The resulting magnetic field is shown to effectively steer the drug concentration, governed by a drift-diffusion PDE, from an initial to a desired location with limited spreading.
Vorheriger Artikel A PDE-constrained optimization approach for topology optimization of strained photonic devices
Nächster Artikel Optimal sensor placement for joint parameter and state estimation problems in large-scale dynamical systems with applications to thermo-mechanics

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Metadaten
Titel
Controlling the Kelvin force: basic strategies and applications to magnetic drug targeting
verfasst von
Harbir Antil
Ricardo H. Nochetto
Pablo Venegas
Publikationsdatum
21.06.2018
Verlag
Springer US
Erschienen in
Optimization and Engineering / Ausgabe 3/2018
Print ISSN: 1389-4420
Elektronische ISSN: 1573-2924
DOI
https://doi.org/10.1007/s11081-018-9392-7

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