Understanding the deflagration to detonation transition (DDT) in solid explosives is important from the viewpoint of safety, especially in situations where detonation is undesirable. Relevant examples include the storage or safe disposal of life-expired or unserviceable explosives and ammunition. The present work proposes improvements on the existing mathematical models for predicting DDT in cast explosives. The earlier classic studies on this topic utilized the isothermal Modified Tait EOS for modelling the compression of the unreacted explosive and incorporated the experimentally measured pressure rise profile in their DDT calculations. This work implements various isentropic EOS, such as the Hugoniot EOS and the Walsh mirror image approximation EOS, to model the com-pression of the solid explosive. Moreover, since measured pressure rise profiles are available in the literature for a very limited set of explosives and operating conditions, a generalized mathematical model for the pressure rise of the burnt gas under various clearance volumes is proposed in this work. The pressure-rise model matches the reported profiles reasonably well for Pentolite 50/50 and diethylnitramine dinitrate (DINA). The integrated model indicates that the combination of Hugoniot EOS and Adams & Pack DDT model provides the most conservative estimate for the runup distance to DDT among the alternatives considered. We also report that the run-up distance to detonation depends linearly on the initial clearance volume provided to the cast explosive.