  In this article, we consider a model motivated by large ensembles of
nanoparticles' magnetization dynamics using the Fokker-Planck equation and
analyze the underlying parabolic PDE being defined on a smooth, compact
manifold without boundary with respect to time-dependent parameter
identification using regularization schemes. In the context of magnetic
particle imaging, possible fields of application can be found including
calibration procedures improved by time-dependent particle parameters and
dynamic tracking of nanoparticle orientation. This results in reconstructing
different parameters of interest, such as the applied magnetic field and the
particles' easy axis. These problems are in particular addressed in the
accompanied numerical study.
