Application of the Luedeking and Piret with delay time model in bioproductions with non-zero kinetic parameters

In this work, we were able to generalize the applicability of the Luedeking and Piret with delay time model previously proposed by our team. To demonstrate this, experimental data and kinetic parameters were collected from four different bioproduction. To these experimental data, the first order plus dead time (FOPDT) model was fitted for biomass production kinetics, while the Luedeking and Piret with delay time model was for different metabolites production kinetics. The use of the Luedeking and Piret with delay time model proves the delay that exists between the production time of microbial biomass and metabolites or products. The use of the FOPDT model allowed this delay to be determined in a simple and fast way. This model's combination shows an increase in R2 in all cases, demonstrating the quality of the fit and the simplicity of the proposed method. The use of delay times for bioproduction with non-zero kinetic parameters has not been previously reported. Application of this model would improve the accuracy of scaling bioprocesses to enable industrial-scale production. This delay time is an essential property of the bio-process, and its determination is crucial for control and optimization.