We are modelling thermonuclear suprenova explosions, starting from modelling the stellar evolution of the progenitors, the formation of white dwarfs (WDs), and their interactions;  and then following the detailed explosion models using thermonuclear-hydrodynamical models, followed by nucleosyntheitic post-processing and radiative transfer models as to produce detailed observational predictions (spectra and photometry). Our main focus is on novel progenitor models for the disruptions of hybrid He-CO white dwarfs by carbon oxygen or other hybrid He-CO WDs.