Gas net radial mass rate for the simulations analysed in this work. In each panel, the grey lines represent the mass rate profile at a given time averaged in a time span of 100 Myr. The black line is the average mass rate and the blue shaded area represents the standard deviation. On the bottom of each panel the net radial mass rate averaged within the radial range 0 ≤ R/R_d ≤ 1 and the average SFR, computed in the temporal range 0.3 < t < 2 Gyr, are indicated.