According to the similarity principle, transport can be described as a function of dimensionless parameters. In particular, the b (kinetic to magnetic pressure ratio) dependence is of major importance for the estimation of performance in future thermonuclear devices. In a number of machines, dedicated scan experiments, where b is scanned while other dimensionless parameters are fixed, showed contrasting results: a strong degradation of confinement with increasing b has been reported in JT60-U and ASDEX-U while no dependence was seen in JET and DIII-D. Recently, a b degradation was observed in a JET high-shape hybrid-scenario. In this paper, the b dependence of the theory-based models Multi-Mode (MMM95) and GLF23 is determined by running them stand-alone with imposed plasma profiles. The models are then used in predictive simulations of ion and electron temperatures in order to test the capability of the models to reproduce experimental scan results.