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Simulation of the magnetization dynamics of diluted ferrofluids in medical applications

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Published/Copyright: October 26, 2013
Biomedizinische Technik/Biomedical Engineering
From the journal Biomedizinische Technik/Biomedical Engineering Volume 58 Issue 6

Abstract

Ferrofluids, which are stable, colloidal suspensions of single-domain magnetic nanoparticles, have a large impact on medical technologies like magnetic particle imaging (MPI), magnetic resonance imaging (MRI) and hyperthermia. Here, computer simulations promise to improve our understanding of the versatile magnetization dynamics of diluted ferrofluids. A detailed algorithmic introduction into the simulation of diluted ferrofluids will be presented. The algorithm is based on Langevin equations and resolves the internal and the external rotation of the magnetic moment of the nanoparticles, i.e., the Néel and Brown diffusion. The derived set of stochastic differential equations are solved by a combination of an Euler and a Heun integrator and tested with respect to Boltzmann statistics.

Keywords: Brown rotation; combined rotation; Langevin equation; magnetic particle imaging; Néel rotation; super-paramagnetic particles
Corresponding author: Henrik Rogge, Institute of Medical Engineering, University of Lübeck, Ratzeburger Allee 160, 23538 Lübeck, Germany, E-mail:

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Received: 2013-2-28
Accepted: 2013-9-16
Published Online: 2013-10-26
Published in Print: 2013-12-01

©2013 by Walter de Gruyter Berlin Boston

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https://doi.org/10.1515/bmt-2013-0034
Keywords for this article
Brown rotation; combined rotation; Langevin equation; magnetic particle imaging; Néel rotation; super-paramagnetic particles

Articles in the same Issue

  1. Masthead
  2. Masthead
  3. Editorial
  4. Magnetic Particle Imaging – from particle science to imaging technology
  6. Tailoring the magnetic and pharmacokinetic properties of iron oxide magnetic particle imaging tracers
  7. Synthetic routes to magnetic nanoparticles for MPI
  8. Red blood cells as carriers in magnetic particle imaging
  9. Comparison of commercial iron oxide-based MRI contrast agents with synthesized high-performance MPI tracers
  10. Characterization of magnetic nanoparticle systems with respect to their magnetic particle imaging performance
  11. Magnetic spectroscopy of nanoparticle Brownian motion measurement of microenvironment matrix rigidity
  12. Perspectives on clinical magnetic particle imaging
  13. Magnetic particle imaging scanner with 10-kHz drive-field frequency
  14. Twenty-fold acceleration of 3D projection reconstruction MPI
  15. Improved field free line magnetic particle imaging using saddle coils
  16. On the formulation of the image reconstruction problem in magnetic particle imaging
  17. Numerically efficient estimation of relaxation effects in magnetic particle imaging
  18. Simulation of the magnetization dynamics of diluted ferrofluids in medical applications
  19. Safety considerations for magnetic fields of 10 mT to 100 mT amplitude in the frequency range of 10 kHz to 100 kHz for magnetic particle imaging
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