https://doi.org/10.1140/epjs/s11734-023-00859-9
Regular Article
In silico study of magnetic nanoparticles transport in channels of various diameters in the presence of a constant magnetic field
1
Laboratory of Multiphase Physical and Biological Media Modeling, Department of Fundamental and Applied Physics, Ural Federal University, 620000, Ekaterinburg, Russian Federation
2
Department of Biomedical Physics and Engineering, Ural State Medical University, 620028, Ekaterinburg, Russian Federation
3
Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Laboratory of Stochastic Transport of Nanoparticles in Living Systems, Ural Federal University, 620000, Ekaterinburg, Russian Federation
4
Department of Mathematics, The University of Manchester, M13 9PL, Manchester, UK
Received:
15
February
2023
Accepted:
26
April
2023
Published online:
17
May
2023
In general, this study is concerned with the development of theoretical basis for the use of magnetic nanoparticles (MNPs) for the needs of cardiology. A mathematical model reflecting the fundamental features of MNPs motion and transport in a liquid that flows in a channel modeling a stenotic blood vessel is introduced. The obtained results of computational simulations of MNPs transport revealed the presence of stagnant zones with vortices of the host liquid that appear near the stenosis. The application of a magnetic field to the channel provokes the accumulation of MNPs in these zones. An increased MNPs concentration near the stenosis makes it possible to determine the position and size of the stenosis using an external magnetic sensor.
Structural Transformations and Non-Equilibrium Phenomena in Multicomponent Disordered Systems. Guest editors: Liubov Toropova, Irina Nizovtseva.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.