International Journal on Magnetic Particle Imaging
Vol 8 No 1 Suppl 1 (2022): Int J Mag Part Imag
https://doi.org/10.18416/IJMPI.2022.2203049

Proceedings Articles

Magnetoviscoelastic models in the context of magnetic particle imaging

Main Article Content

Anja Schlömerkemper  , Sourav Mitra  (University of Würzburg)

Abstract

Some mathematical models of magnetic particle imaging include the Landau-Lifshitz-Gilbert equation that is known to model the dynamic behavior of the magnetization vector in the micromagnetic theory. Bearing in mind the fluid-structure interaction of the magnetic particles in a viscoelastic environment like blood or tissue, we discuss a modeling approach of the underlying physics that takes a magnetoviscoelastic coupling into account. In particular, we discuss applicability of models for the evolution of magnetoviscoelastic materials consisting of the incompressible Navier-Stokes equations, an evolution equation for the deformation gradient and the Landau-Lifshitz-Gilbert equation. We also consider potential implications of recent work by the authors about two-component magnetoviscoelastic materials for an advanced mathematical modeling of magnetic particles embedded into viscoelastic materials.

Article Details

References

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