A 250 MeV superconducting compact cyclotron, based on an original concept from H. Blosser (NSCL) and to be designed and manufactured by ACCEL (D), is being developed for the proton therapy project PROSCAN at PSI. We have used the general purpose three dimensional particle tracking program TRACK, developed at PSI, in the configuration of the 250 MeV cyclotron to perform studies of the beam dynamics and to derive important parameters describing the beam properties. Detailed tracking studies have been performed in the central region and in the extraction region. Examples of our ongoing studies are discussed to demonstrate the capabilities of the program TRACK.