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.

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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://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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