Mathematical modelling and analysis of nanoparticle gradients induced by magnetic fields
| Autor: | Maria Neuss-Radu, Dominik Himmelsbach, Nicolas Neus |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Optimal design
0209 industrial biotechnology Optimization problem Mathematical model Applied Mathematics 02 engineering and technology Magnetic field 03 medical and health sciences 020901 industrial engineering & automation 0302 clinical medicine Development (topology) 030220 oncology & carcinogenesis Point (geometry) Uniqueness Statistical physics MATLAB computer Analysis Mathematics computer.programming_language |
| Zdroj: | Journal of Mathematical Analysis and Applications. 461:1544-1560 |
| ISSN: | 0022-247X |
| DOI: | 10.1016/j.jmaa.2017.12.026 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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