### DFG-Project

ER 777/1-1

#### The goal of MathMPI

"Mathematical Methods for Magnetic Particle Imaging (MathMPI)" is an interdisciplinary network of scientists supported by the german research foundation (DFG). Its central goal is the development, analysis and application of mathematical methods for Magnetic Particle Imaging (MPI).#### Description of the project

Magnetic Particle Imaging (MPI) is an emerging imaging modality that determines the spatial distribution of magnetic nanoparticles by measuring the non-linear magnetization response of the particles to an applied magnetic field. MPI offers a high dynamic spatial and temporal resolution and, in contrast to other tomographic methods such as CT and PET, it does not employ any ionizing radiation. This makes MPI a very promising imaging modality for biomedical diagnostics.This project addresses for the first time the systematic study of mathematical questions related to MPI. The primary goal of this network is the development, analysis and application of mathematical methods to improve the reconstruction quality in MPI. In particular, taylored to the specific needs of MPI we develop elaborate reconstruction algorithms, analyze and refine the underlying MPI models and test the new methods numerically on real biomedical data.

To achieve these goals this network provides an interdisciplinary platform for researchers from various scientific fields including applied mathematics, modeling, image processing, medical physics as well as electrical engineering. During the whole period of the project, several meetings and workshops will be organized to address and study mathematical problems related to MPI.