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Magnetic particle imaging (MPI) is a new imaging modality to determine the concentration of nanoparticles from their nonlinear magnetization behavior. Highly dynamic applied magnetic fields allow a rapid data acquisition in 3D. But the image reconstruction still relies on a time-consuming calibration process. The large model uncertainty is a great challenge for achieving reconstructions with higher resolution. In this mini-symposium, we aim at bringing together researchers working on magnetic particle imaging and related fields. We cover theoretical and practical topics in MPI focusing on mathematical and physical as well as algorithmic and computational issues of the reconstruction.