  Magnetic particle imaging is a promising medical imaging technique. Applying
changing magnetic fields to tracer material injected into the object under
investigation results in a change in magnetization. Measurement of related
induced voltage signals enables reconstruction of the particle distribution.
For the field-free line scanner the scanning geometry is similar to the one in
computerized tomography. We make use of these similarities to derive a forward
model for dynamic particle concentrations. We validate our theoretical findings
for synthetic data. By utilizing information about the object's dynamics in
terms of a diffeomorphic motion model, we are able to jointly reconstruct the
particle concentration and the corresponding dynamic Radon data without or with
reduced motion artifacts. Thereby, we apply total variation regularization for
the concentration and an optional sparsity constraint on the Radon data.
