Periodic operation of immobilized cell systems: analysis.

The authors' mathematical model of transient immobilized cell growth and product formation is applied here to examine the performance of an immobilized cell system subject to periodic cycling of the rate-limiting substrate supply. The model system consists of a single hydrogel-like (porous) particle entrapping viable microorganisms. Proper nutrient cycling is shown to yield a relaxed periodic system and to virtually eliminate the leakage of biomass from the support that is commonly observed experimentally in steady (continuous nutrient supply) operation of these systems. The use of cyclic operation is evaluated by calculating the average product yield (the ratio of product formed to substrate consumed) and the average product flux from the particle (a measure of the total productivity of the system), for various cycling rates. Cycling increased the average product yield by at least a factor of three in nongrowth-related fermentations, relative to steady operation, without any significant sacrifice in average total productivity. Growth-related fermentations lost significant total productivity under most cycling conditions, while the average product yield was approximately unchanged at all cycling rates. Thus, immobilization in conjunction with periodic operation should be considered as an alternative process design for the production of nongrowth-related products such as penicillin and monoclonal antibodies.