Institut für Mathematik
Inverse Problems in Magnetic Particle Imaging
Magnetic particle imaging (MPI) is a novel tracer-based medical imaging
modality with a potentially high resolution that can be used, e.g, to visualize
blood flow. To this end, magnetic particles are injected into the blood stream.
A strong external magnetic field with a field-free point (FFP) is applied, such
that the magnetic moments of the particles align with this field, with the
exception of the FFP. A second external field, the so-called excitation field,
is applied to change the magnetization of the particles that are situated in
the FFP. This change in the magnetization induces an electric current in the
receive coils, which yields the data for this imaging technique. In order
to obtain an image of the entire body, the FFP is moved along a trajectory
that covers the area of interest. Both the calibration as well as the imaging
process itself require the solution of inverse problems. This talk is intended
to give an overview of MPI and the arising mathematical challenges.
Senka Haznadar (senka.haznadar [at] aau.at)