Optimization of batch fermentation processes. I. Development of mathematical models for batch penicillin fermentations.

Abstract

SummaryTwo kinds of mathematical models have been developed for batch penicillin fermentations: (1) general models, b a d on averaged, nondmensionalized cell and penicillin synthesis curves from plant scale fermentom and (2) particular models developed from specific sets of experimental data from two sources. Parameter-temperature functions used with the general models were assumed to have general shapes which could apply to many fermentations, i.e., they were bssed on the familiar temperature response of enzyme-catalyzed reactions. Parameter-temperature functions for the particular models were determined from experimental data for batch runs at various temperatures.

A Survey of Modern Optimal Control Methods for Biotechnological Processes

“…Tl1e optiшal teшperetшe valнes (Tk) at·e сошрнtесl нsiнg tl1e steepest clesceпt шetlюcl. Tl1e obt,<Jiпccl pt·ofile Bioteclшology & BioE 5/1991,/6 matcl1es the results of otl1er resea.rch (14,15), tl1at-ha.s employed different metlюds.…”

Optimization of batch fermentation processes by graphical method

“…The optimal control strategies for this structure of the model in principle correspond to strategies (3) and (4), obtained on the basis of model (1). The graphical solution of the example is presented in the plane of variables ~/ p and X (Fig.…”

Proces models for production of β-lactam antibiotics

“…The early models were purely unstructured [30][31][32][33], and tried only to give a formal description of the distinction of growth and production phase. Based on the early experimental results [22,34], Righelato [35], Bull and Trinci [36], and van Suijdam and Metz [19] proposed models for the development of pellet populations in the average.…”

“…Several authors have dealt with optimization of fed-batch antibiotics production, mostly based on simple unstructured models [31,61,[85][86][87][88][89][90][91]. In most cases the substrate feeding or substrate concentration is subject to optimization, sometimes pH or temperature [30,71,92]. In the work of Meyerhoff [76] the presented model was applied for dynamic optimization of the sugar and oil feeding by using the Iterative Dynamic Programming (IDP) algorithm [93][94][95][96].…”

“…and(30) (dashed lines). Different treating methods and media: (o) spores S1, medium M4; ([]) spores $2, medium M4; (A) spores S1, medium M2.…”