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

  • M. Maass, C. Droigk, H. Albers, K. Scheffler, A. Mertins, T. Kluth, and T. Knopp (2024). Magnetic particle imaging with non-oriented immobilized particles. International Journal on Magnetic Particle Imaging. 10. (1 Suppl 1), 1-4 [Abstract] [doi]

  • T. Kluth, H. Albers, M. Maass, C. Droigk, M. Boberg, F. Thieben, K. Scheffler, and T. Knopp (2024). Recent Progress in Model-Based Reconstruction using Approximate Particle Models and low Calibration Effort. 13th International Workshop on Magnetic Particle Imaging (IWMPI 2024). 10. (1 Suppl 1), 1 [Abstract] [www]

  • H. Albers, F. Thieben, M. Boberg, K. Scheffler, T. Knopp, and T. Kluth (2023). Model-based Calibration and Image Reconstruction with Immobilized Nanoparticles. International Journal on Magnetic Particle Imaging. 9. (1), 1-5 [Abstract] [doi] [www]

  • M. Möddel, A. Schlömerkemper, T. Knopp, and T. Kluth (2023). Limitations of current MPI models in the context of fluid dynamics. International Journal on Magnetic Particle Imaging. 9. (1), 1-4 [Abstract] [doi] [www]

  • H. Albers, T. Knopp, M. Möddel, M. Boberg, and T. Kluth (2022). Modeling the magnetization dynamics for large ensembles of immobilized magnetic nanoparticles in multi-dimensional magnetic particle imaging. Journal of Magnetism and Magnetic Materials. 543. 168534 [Abstract] [doi] [www]

  • T. Kluth, P. Szwargulski, and T. Knopp (2019). Towards accurate modeling of the multidimensional magnetic particle imaging physics. New Journal of Physics. 21. (10), 103032 [Abstract] [doi] [www]

  • A. Weber and T. Knopp (2015). Symmetries of the 2D magnetic particle imaging system matrix. Phys. Med. Biol.. 60. (10), 4033-44 [doi]

  • A. Weber and T. Knopp, (2015). Reconstruction of the Magnetic Particle Imaging System Matrix Using Symmetries and Compressed Sensing. Advances in Mathematical Physics. Article ID 460496. 9pp [doi]