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Formulae for the prediction of inactivation and accumulated lethality of bacterial spores under moist heat and high pressures were derived on the basis of classic thermodynamic and kinetics principles. The capability of the model to describe the inactivation of bacterial spores was verified using two independent data sets corresponding to Clostridium botulinum processed at 60 degree Celsius to 75 degree Celsius and Bacillus stearothermophilus processed at 90 degree Celsius to 100 degree Celsius.