Study Of Process In The Case Of E. Coli Culture

Abstract

A single Escherichia coli cell model was performed step by step, by comparing the obtained simulated results of the cell behavior with those reported in literature. The Escherichia coli cells were considered to grow suspended in an ideal laboratory biochemical reactor with perfect mixing. The mathematical model of the reactor was obtained by coupling the equations at the reactor scale to those of the single cell model. The biochemical reactor model was simplified by computing the numerical results reported by the single cell model with simpler polynomial relations. The biochemical reactor was completed with a cell model with a cell separator that assures cell recycle. Optimal steady operation was determined, completed with the best policies for start up of the biochemical reactor. Optimal control policies were found out in the case of disturbances of the feed flow rate concentrations, using the minimum Principle of Pontryagin.