An enhanced model for accumulated CO2 concentration in closed Escherichia coli fermenters

Microbial growth kinetics models like Logistic and Gompertz quantitatively depict growth and are used in linear detection methods, but they have limitations in analyzing continuously accumulated growth products. This study combines the Logistic growth kinetics model with the Luedeking-Piret product synthesis model to accurately track the accumulated CO2 concentration in a closed Escherichia coli (E. coli) fermentation system. The novel model outperforms the traditional Logistic, Gompertz, and Baranyi models in terms of fitting accuracy. Additionally, by applying the model under varying bacterial densities and pH conditions, it was found to precisely capture CO2 concentration dynamics, identifying pH 7.5 as the optimal for E. coli cultivation. The findings indicate that the integrated model not only accurately reflects CO2 metabolic variations but also offers valuable insights into microbial growth dynamics.