Optimal Control of Glycerol Fermentation: Concerning Transport of Glycerol and 1,3-propanediol Across Cell Membrane

摘要

The mathematical model of glycerol continuous fermentation concerning transport of glycerol and 1,3-propanediol (1,3-PD) across cell membrane is considered. And taking the model as state equation, the final concentration of 1,3-PD as object function,an optimal control model is set up. The existence of optimal solution is proved. By infinitedimensional optimal theory, the optimal condition of the model is given and the equivalence between the optimal condition and the zero of optimality function is proved. The text area for your manuscript must be 17 cm wide and 25 cm high (6.7 and 9.8 inches,resp.). Please set your page as ANSI A size paper (letter).