Modelamiento matemático de la obtención de pigmentos orgánicos a partir de cepas de Penicillium Sp.

Abstract

The study focused on the mathematical modeling of the production of organic pigments from the Penicillium sp. strain, evaluating optimal cultivation conditions and applying adjustments to the Monod and Gompertz mathematical models to predict microbial growth and pigment production. A batch fermentation system was used, and the experimental variables were monitored for 120 hours to construct the microbial growth kinetics curve. The data obtained were fitted to the Monod and Gompertz mathematical models, revealing that the Gompertz model offered a better fit with a determination coefficient of 0.9912, compared to the Monod model, which presented a determination coefficient of 0.8043. This finding suggests that the Gompertz model is more suitable for describing the dynamics of microbial growth and pigment production in Penicillium sp. under the specific conditions of the experiment. Additionally, it was observed that the maximum growth rate and predictive accuracy were superior in the Gompertz model. The estimated growth rate was higher in the Gompertz model (0.0193 per hour) than in the Monod model (0.0134 per hour), indicating a higher growth efficiency under optimized conditions. These results underscore the importance of optimizing cultivation conditions, such as nutrient concentration, pH, and temperature, to maximize pigment production. They also highlight the relevance of choosing the appropriate mathematical model to obtain accurate predictions in pigment production.