B0952
Title: Optimal experimental design applied to the Baranyi model
Authors: Alba Munoz - Universidad de Castilla-La Mancha (Spain) [presenting]
Victor Casero-Alonso - University of Castilla-La Mancha (Spain)
Mariano Amo-Salas - University of Castilla-La Mancha (Spain)
Abstract: In recent years, food safety has gained special interest due to various alerts caused by the uncontrolled growth of microorganisms in different food products. In this context, predictive microbiology, which studies the growth of microorganisms in food, that develops mathematical models plays an important role. The theory of optimal experimental design is applied to the Baranyi model, one of the most widely used in predictive microbiology. D-optimal designs are obtained for accurate estimation of all model parameters. In addition, given the complexity of the model, it is conducted a sensitivity analysis of the d-optimal designs to variations in the nominal values of the parameters. This analysis shows the sensitivity of the d-optimal designs to two of the parameters. A methodology is developed for augmenting the optimal design to robust it under variations in the nominal values of the parameters. Lastly, the c-optimal designs are obtained for the precise estimation of each of the model parameters separately.
