  We have developed a fast numerical 2-D model of galaxy disk evolution
(resolved along the galaxy radius and azimuth) by adopting a scheme of
parameterized stochastic self-propagating star formation. We explore the
parameter space of the model and demonstrate its capability to reproduce 1-D
radial profiles of the galaxy M33: gas surface density, surface brightness in
the i and GALEX FUV passbands, and metallicity.
