Model-Based Reconstruction for MPI

A prerequisite for system matrix-based image reconstruction in Magnetic Particle Imaging (MPI) is the acquisition of a system matrix that describes the mapping between the MPI tracer and the measured signal. A common method for its acquisition is a time-consuming calibration procedure, during which the scanner is blocked for other uses. For this reason, a model-based approach that allows the system matrix to be obtained by simulation has great appeal. However, an accurate model that describes the magnetization behavior of the tracer, allows the identification of its parameters, and is computationally feasible has not yet been found.

In an ongoing collaboration with Hannes Albers and Tobias Kluth from the University of Bremen we investigate and refine a magnetization model based on the Néel rotation for the magnetic moments of the particles (see Kluth et al., 2019 and Albers et al., 2022). On the one hand, the identification of the parameters of the model is in focus, since these are unknown a priori, on the other hand, measured 2D MPI system matrices are describe with much higher accuracy than the current MPI models. Moreover, we are also interested in the limitations current MPI models in the context of fluid dynamics (see Möddel et al., 2023).

A comparison of the frequency components between a measured and model-based system matrix shows significant differences, as the simple and widely used equilibrium model is not able to fully capture the complex magnetization dynamics.

Project Publications

[180974]
Title: Model-based Calibration and Image Reconstruction with Immobilized Nanoparticles.
Written by: H. Albers, F. Thieben, M. Boberg, K. Scheffler, T. Knopp, and T. Kluth
in: <em>International Journal on Magnetic Particle Imaging</em>. (2023).
Volume: <strong>9</strong>. Number: (1),
on pages: 1-5
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DOI: 10.18416/IJMPI.2023.2303002
URL: https://journal.iwmpi.org/index.php/iwmpi/article/view/592
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Note: inproceedings, magneticfield, model-based

Abstract: The model-based reconstruction problem is still one of the key challenges in magnetic particle imaging (MPI) when using multi-dimensional Lissajous-type excitations. One aspect, which is often highlighted in the literature, is the magnetization behavior of the magnetic nanoparticles in fluids, which is typically modeled by a coupling of Brown and N\'{e}el rotation mechanisms. Another aspect, which is at least as important as the particle model itself but sometimes treated less prominently, is a very careful calibration of the model input, respectively the scanner parameters such as analog filter and applied magnetic fields. The careful consideration of both aspects is the essential requirement for a proper solution to the model-based problem. In the present work we combine calibrated scanner components with polydisperse particle models for immobilized nanoparticles to derive a model-based system function and an efficient calibration routine. It is experimentally validated on the Bruker preclinical MPI system using 2D Lissjous trajectories.