Optimization of batch fermentation processes by graphical method

Abstract

A graphical method is proposed for batch fermentation process optimization. Its objective function is the maximum output of the product when the time of process is fixed or free. The technique of optimization is based on Bellman's dynamic programming concepts and the assumption that the process can be described by mathematical models of generalized structure. An example of the proposed technique's application is presented.

Comparison of ethanol production from xylose by a recombinant Escherichia coli in batch, fedbatch and continuous fermentations.

“…We used the dynamic programming technique to determine the optimal temperature and pH profile. The details of the technique can be found in the literature (4). According to the optimal temperature profile, the fermentation was started at 40°C.…”

A Graphical Method of Improving the Production Rate from Batch Reactors

“…Batch optimization using graphical methods, particularly with regard to the problem of efficient wastewater allocation are already known. − A graphical optimization based on dynamic programming has also been investigated by Staniskis and Levisauskas, whereas several analyses using graphical methods to fermentation processes are discussed by Shioya and Dunn . The application of Pontryagin’s maximum principle to batch optimization is commonly found in literature.…”