Top. Minimum gas mass for star formation versus DM halo mass M_DM for the reference model (blue lines), models with a cuspy DM halo (red lines), models with pre-existing stellar disk (black lines), and models at redshift z_gf = 2.0 (green lines). The solid lines show models with the gas temperature T_g = 10⁴ K, while dashed lines represent models with (see Eq. (19)). Numbers indicate the corresponding gas temperatures for every model. The dotted line plots the cosmological relation between the baryonic and DM mass as suggested by the ΛCDM theory. Bottom. The corresponding versus M_DM relations.