Sensitivity analysis of the PRO-ALGA model parameters for the growth simulation of Chlorella vulgaris
Abstract
The sensitivity analysis of a mathematical model allows to determine how the uncertainty of the model's outputs can be assigned to its input variables. In this work, the Morris or elemental effects method is used to perform the global sensitivity analysis to the PRO-ALGA model, to simulate the growth of the microalgae Chlorella vulgaris. The following steps were followed: specification of objectives, selection of the factors to be analyzed, selection of the probability density functions for each factor, generation of the input sample and evaluation of the model. The results allowed to identify that the input parameters maximum growth rate of microalgae (μa), mean saturation constant for pH (KpH), mean saturation constant for algae concentration (KCA), mass transfer coefficient for oxygen at 25 ºC during the day (KLAD) and mass transfer coefficient for oxygen at 25 ºC at night (KLAN) have the greatest influence on the output parameters of the model. The model is very sensitive to variations in KCA; the input parameters μa, KLAD and KLAN have non-linear or interaction effects on the output parameters of the model. The input parameters kpH and KCA have no significant effect on the output variables.
References
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