Our aim is to track and analyze migrating cells. Therefore, we use 4d in vivo fluorescence microscopy data, which offers a variety of
mathematical challenges. We perform a combination of registration, segmentation and flow estimation, whereas the latter will be the focus
of this talk. To detect the intracellular and extracellular motion of the cells, we present ideas for variational flow models that combine the
abilities to recover smooth transitions and sharp edges.