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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.

Stochastic 2-D Models of Galaxy Disk Evolution. The Galaxy M33