The kinetics of batch and fed-batch cultivation of recombinant Escherichia coli producing human-like collagen was investigated. The fermentation process was optimized according to the kinetics.Model parameters were determined by the Eadic-Hofstee illustration, common induction methods and the non-linear regression technique. And the experiment data agreed well to calculated data by the kinetics.At batch cultivation, the kinetics wereAt fed-batch cultivation (before induction), the kinetics wereAt the phase of induction, the kinetics wereOn the base of Pontryagin's minimum principle, with the aim function of the highest yield of human-like collagen, feeding rate (F_s) was worked out from the kinetics above by the method of Fmincon in MATLAB. And at single control phase, F_s didn't have any relation with the cooperation variable (X) and its formula was same to that in the kinetics. In the fed-batch cultivation, in order to yield higher human-like collagen, the glucose feeding rate would close to the exponential feeding rate at the optimum specific growth rate. Objective protein formation was optimized in this system. |