Evidence relating to mechanisms of recrystallisation and associated texture evolution in low carbon steels is briefly reviewed and some new observations are presented. These viewpoints are taken as the starting point for development of a computer model that can be used to predict the effects of steel chemistry and process parameters on the grain structures and textures of titanium-stabilised interstitial-free steel sheets. The model utilises physical principles as far as possible and combines these with empirical descriptions where necessary, fitting these with the aid of experimental data. Assumptions made in the model are clearly described.