Controlling the Kelvin Force: Basic Strategies and Applications to Magnetic Drug Targeting
Optimization and Control
2017-04-25 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.1704.06872,
title = {Controlling the Kelvin Force: Basic Strategies and Applications to Magnetic Drug Targeting},
author = {Harbir Antil and Ricardo H. Nochetto and Pablo Venegas},
journal= {arXiv preprint arXiv:1704.06872},
year = {2017}
}