A generic algorithm for optimization of CFSTRs in series with any biokinetic equation

Abstract

A simple generic code for optimization of CFSTRs in series with any biokinetic equation (structured, unstructured, segregated or distributed) has been developed. The program accepts biokinetic equations without any preliminary mathematical manipulation, does necessary material balances, solves material balance equations and optimizes the system under a given objective function. The program was tested with four different optimization problems (different biokinetics of unstructured, segregated and a structured model) and the results were compared to published data. In all cases, good agreement was found. Finally, the model has been applied to multiple CFSTRs with a Cybernetic biokinetic model, and the effect of model parameters on the optimum total residence time is demonstrated.On a mis au point un programme gtntrique simple pour I'optimisation des rtacteurs agitts fludists continus (CFSTR) en strie pouvant Etre utilist avec toute forme d'kquation biocinttique (structurte, non structurte, segrtgte ou distribute) Le programme accepte les tquations biocinttique sans manipulations mathtmatiques prealables; il fait les bilans de matiere necessaires, rtsout les tquations de bilan de matihe et optimise le systtme pour une fonction objectif donnee. Le programme a ttt test6 avec quatre probltmes d'optimisation difftrents (biocinttiques difftrentes d'un modkle non structurt, stpart et structurt), et on a compart les rtsultats aux donntes publites. Dans tous les cas, un bon accord est trouvt. Enfin, le modtle a Ct6 applique de multiples CFSTR a I'aide d'un modtle biocinktique cybernttique, et on dtmontre I'effet des paramttres du modtle sur le temps de stjour total optimum.

Optimum Multiple CFSTRs for a two stage fermentation of recombinant bacteria with a sensitive switching gene

“…growth stages from 1 to 3 does not have any effect on the productivity of the system because the volume of the additional reactors approaches zero at optimum performance. On the other hand, increasing the number of production stages increases the productivity, but the increase is only about 12% which is not significant compared to improvement in the performance of most primary product fermentations (2-1 0 times) as reported in literature (Bishoff, 1966;Baheri et al, 1995;Hill and Robinson, 1989;Shimizu and Mutsubara, 1987). Table 2 summarizes optimization results for arrangements at three different initial substrate concentrations.…”

“…The 0PTIMX.PAS program, described in an earlier publication (Baheri et al, 1995), was used for the process optimization of the systems. The initial version of this program was used for the optimization of multiple CFSTRs in series with a generic primary or secondary biokinetic equation for cell growth and product formation.…”

“…The simulation part is capable of performing material balances and simulation of fermentations in multiple stages based on biokinetic equations. 0PTIMX.PAS is available on the FTP site at the University of Saskatchewan (Baheri et al, 1995). In this study, the simulation part of the program was extended to accommodate both the extra feed stream to each reactor and the biokinetics of recombinant bacteria growth and protein production.…”

“…There has been substantial research on the performance improvement of continuous primary product fermentation by increasing the number of CFSTRs in series (Baheri et al, 1995;Bishoff, 1966;Hill and Robinson, 1989;Shimizu and Mutsubara, 1987). However, no study has been reported on the effect of increasing the number of CFSTRs on the performance of recombinant bacterium fermentations.…”