S-system approach to modeling recombinant Escherichia coli growth by hybrid differential evolution with data collocation

In this study, we have established a suitable model to describe the dynamic characteristic of an aspartase-overproducing Escherichia coli strain. A traditional Monod model and power-law models are respectively applied to describe the dynamic behaviors. When the model structure was selected, the parameter values of the model should be determined by the global/local optimization method. There are two major challenges, numerical integration for differential equations and finding global parameter values. In this study, we introduce hybrid differential evolution, which is a variant of genetic algorithms, to avoid obtaining a premature solution. In addition, we apply a modified collocation method to avoid numerical integration. The Monod's model could only predict the growth characteristic of the recombinant E. coli, qualitatively. The S-system representation could suit for constructing the model structure of the microbial growth.