Journal ArticleDOI
Optimal operation of fed-batch bioreactors with two control variables
Jayant M. Modak,H.C. Lim +1 more
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In this article, the optimal operating policies for a fed-batch bioreactor with two manipulated variables are developed using the results of the singular control theory and Pontryagin's maximum principle.About:
This article is published in Chemical Engineering Journal.The article was published on 1989-11-01. It has received 21 citations till now. The article focuses on the topics: Singular control & Control variable.read more
Citations
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Implementation of Adaptive Optimal Operation for a Semi-Batch Reaction System
TL;DR: The results of on-line optimization of the acetoacetylation of pyrrole with diketene in a laboratory-scale reactor and the minimization of batch time subject to endpoint constraints with respect to yield and two of the concentrations are presented.
Journal ArticleDOI
Optimization of fed-batch culture of hybridoma cells using dynamic programming : single and multi feed cases
TL;DR: The optimization of fed-batch culture of hybridoma cells is accomplished on a mathematical model using dynamic programming and optimal trajectories can improve the final MAb concentration by 11 % for the single feed case and by 20% for the multifeed case.
Journal ArticleDOI
Stochastic Dynamic Optimization of Batch and Semicontinuous Bioprocesses
TL;DR: A simple yet powerful method is presented that requires no initial preparation stage and that is useful to solve several complex optimal control problems without convergence difficulties to solve constrained dynamic optimization problems.
Journal ArticleDOI
Optimization of fed-batch bioreactors using genetic algorithm: multiple control variables
Debasis Sarkar,Jayant M. Modak +1 more
TL;DR: The multiplier updating method is introduced in the proposed method to handle inequality constraints on state variables in the determination of optimal feed rate profiles for fed-batch bioreactors with more than one feed rates.
Journal ArticleDOI
Understanding and applying the extrapolation properties of serial gray-box models
Henricus J. L. Van Can,Hubert A.B. te Braake,Sander Dubbelman,C. Hellinga,Karel Ch. A. M. Luyben,Joseph J. Heijnen +5 more
TL;DR: In this paper, a serial gray-box model is proposed for modeling pH effects on the enzymatic conversion of penicillin G using real-life data, which is especially advantageous at the medium level of process operation.
References
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Journal ArticleDOI
General characteristics of optimal feed rate profiles for various fed‐batch fermentation processes
TL;DR: With the sequence of optimal control known, the optimal feed rate profile determination is reduced to a problem of determining switching times.
Journal ArticleDOI
Computational algorithms for optimal feed rates for a class of fed‐batch fermentation: Numerical results for penicillin and cell mass production
TL;DR: Numerical examples of penicillin fermentation and bacterial cell mass production are given in detail, illustrating the use of efficient computational algorithms developed for fed‐batch fermentation processes described by four or less mass balance equations.
Journal ArticleDOI
Optimal substrate feeding policy for a fed batch fermentation with substrate and product inhibition kinetics.
TL;DR: The point selectivity provides the guideline for predicting the optimal feeding patterns and explaining the results of rigorous mathematical analysis for determining the feeding rate by monitoring the state variables.
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Feedback optimization of fed-batch fermentation.
Jayant M. Modak,H. C. Lim +1 more
TL;DR: It is shown that under certain restrictions the feedback optimization of the feed rate can be realized as a nonlinear function of the state variables, such as the concentrations of cell mass, substrate and product, and the fermentor volume.
Journal ArticleDOI
Effects of temperature and dilution rate on the copy number of recombinant plasmid in continuous culture of Bacillus stearothermophilus (pLP11)
TL;DR: The penicillinase yield YP/X of a transformant Bacillus stearothermophilus CU21 (pLP11) in continuous culture of LGP broth at 44, 47, and 50°C, depended not only on temperature, θ, but also on dilution rate, D, in a peculiar fashion that could not have been realized if the product were from the gene on the chromosome rather than the plasmid.
Related Papers (5)
General characteristics of optimal feed rate profiles for various fed‐batch fermentation processes
Optimization of fed-batch bioreactors using genetic algorithm: multiple control variables
Debasis Sarkar,Jayant M. Modak +1 more