Kinetic study and mathematical modelling of killer and sensitive S. cerevisiae strains growing in mixed culture

This paper presents a kinetic study of two yeasts growing in pure and mixed batch cultures. Two winemaking strains were used: S. cerevisiae K1 possessing the K2 killer character and S. cerevisiae 522D sensitive to the K2 killer toxin. Initially the kinetics of growth of the two strains were analysed in pure culture. In this case, the kinetic profiles of biomass production have shown that the growth rate of the K1 strain is slightly superior to the 522D strain. During the fermentation, the viability for both populations was higher than 90%. Fermentations in mixed culture with an initial percentage in killer strain of 5 and 10% with respect to the total population were carried out. The results showed a more important decrease in the percentage of total viable yeasts when the initial concentration of killer yeast increased. However, the kinetic profiles of total biomass (killer plus sensitive yeasts) were very similar for both fermentations. A mathematical model was proposed to simulate the microbial growth of the killer and sensitive strain developing in pure and mixed cultures. This mathematical model consists in three main reactions: the evolution of the killer toxin in the culture medium, the duplication and the mortality rates for each microbial population. The results of the simulation appeared in agreement with the experimental data.