Multi-objective parameter estimation on cultivation of yeast Kluyveromyces marxianus var. lactis MC5

Abstract

In this study, the most appropriate form of the specific growth rate of the yeast Kluyweromyces marxianus var lactis MC5 was determined by a multi-criteria decision-making method (PROMETHEE II). Then, based on experimental data from a total of six batch processes, the simultaneous estimation of the kinetic parameters for four batch processes was made. The remaining two experiments were used to test the model. The parameter estimation problem was designed as a multi-objective optimisation problem. The method of scalarisation of the weighted sum was used. In this way, the multi-objective optimisation problem was converted to a single-objective one. The direct search method was used to solve the problem of obtaining the Pareto solution. In order to test the resulting solution, two batches of experimental data were additionally used. The obtained results showed that the model satisfactorily described the test data. The validated kinetic model can be used for optimal control of batch and fed-batch fermentation.