Mathematical modelling and analysis of nanoparticle gradients induced by magnetic fields
Himmelsbach D, Neuss-Radu M, Neuß N (2018)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2018
Journal
Publisher: Academic Press Inc.
Book Volume: 461
Pages Range: 1544-1560
Journal Issue: 2
DOI: 10.1016/j.jmaa.2017.12.026
Abstract
In this paper, we derive mathematical models for the dynamics of superparamagnetic nanoparticles under the influence of applied magnetic fields. Such models are needed in many applications, e.g. magnetic drug targeting in cancer therapy. They are the starting point for the development of stable numerical approaches and for the formulation of optimization problems, which are needed for the optimal design of magnetic field configurations. Furthermore, we show the existence and uniqueness of classical radially symmetrical solutions and illustrate their qualitative behaviour by numerical simulations using Matlab.
Authors with CRIS profile
Maria Neuß
Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)
Nicolas Neuß
Lehrstuhl für Angewandte Mathematik (Wissenschaftliches Rechnen)
Involved external institutions
Switzerland (CH)How to cite
APA:
Himmelsbach, D., Neuss-Radu, M., & Neuß, N. (2018). Mathematical modelling and analysis of nanoparticle gradients induced by magnetic fields. Journal of Mathematical Analysis and Applications, 461(2), 1544-1560. https://dx.doi.org/10.1016/j.jmaa.2017.12.026
MLA:
Himmelsbach, Dominik, Maria Neuss-Radu, and Nicolas Neuß. "Mathematical modelling and analysis of nanoparticle gradients induced by magnetic fields." Journal of Mathematical Analysis and Applications 461.2 (2018): 1544-1560.
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