We present a mathematical model of glucose-lactose diauxic growth inEscherichia coli including both the postive and negative regulation mechanismsof the lactose operon as well as the inducer exclusion. To validate this model,we first calculated the time evolution of beta-galactosidase for only thelactose nutrient and compared the numerical results with experimental data.Second, we compared the calculated cell biomass of the glucose-lactose diauxicgrowth with the experimental optical density of the diauxic growth for aparticular E. coli MG 1655. For both cases, the numerical calculations fromthis model are in good agreement with these two experiments' data. The diauxicgrowth pattern of a wild type E. coli was also investigated.
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