International Journal on Magnetic Particle Imaging IJMPI

Vol. 8 No. 1 Suppl 1 (2022): Int J Mag Part Imag

https://doi.org/10.18416/IJMPI.2022.2203049

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Magnetoviscoelastic models in the context of magnetic particle imaging

### Main Article Content

Copyright (c) 2022 Anja Schlömerkemper, Sourav Mitra

This work is licensed under a Creative Commons Attribution 4.0 International License.

### 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.

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