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Optimal Control - 1st Edition - ISBN: 9780128138786

Optimal Control

1st Edition

New Trends in Applications to Bioprocesses

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Author: Terence Bayen
Paperback ISBN: 9780128138786
Imprint: Academic Press
Published Date: 1st November 2029
Page Count: 300
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Optimal Control: New Trends in Applications to Bioprocesses aims to bridge the gap between mathematical optimization methods to solve problems in dynamical systems and bioprocess modeling which involves various techniques to build mathematical models for applications in the bio-production of chemical and pharmaceutical products, covering different length and time scales, from single cells, to cell population, to bioreactors. The two fields are natural partners, however there is a disconnect and literature gap between the mathematical theory of optimal control and the optimization of systems arising in the field of bioprocesses engineering.

Key Features

  • Provides optimal control techniques applicable to bioprocessing and biotechnology
  • Includes application to waste water treatment, bio-gas optimization and bioremediation problems
  • Presents case studies from real-world examples


Graduate students and 1st year PhDs or other early career researchers in optimal control theory with a background in applied math and interested in studying bioprocesses or biological systems. Despite the intention to make the work accessible, the math is at a high level, and only the more mathematically-inclined practitioner / engineer interested in solving bioprocess and biotechnology problems are likely to purchase the title

Table of Contents

1. Introduction to Optimal Control Theory
2. Existence and Related Results
3. Pontryagin Maximum Principle
4. Singular Arcs
5. Hamilton-Jacobi equation
6. Sufficient Optimality Conditions
7. Semi-Continuous Value Function
8. Continuous Value Function
9. What is the chemostat system?
10. Singular and Turnpike Strategies
11. Periodic Optimization of the chemostat system
12. Bioremediation of water resources


No. of pages:
© Academic Press 2029
1st November 2029
Academic Press
Paperback ISBN:

About the Author

Terence Bayen

Térence Bayen (Assistant Professor, University of Montpellier) obtained his Ph.D. degree in Shape Optimization in 2007 from University of Paris. He is now Assistant Professor at University of Montpellier. From 2010 to 2011, he has been a lecturer at the Center for Mathematical Modeling, University of Chile. His research interests include optimal control theory, modelling and bioprocesses, and shape optimization.

Affiliations and Expertise

Assistant Professor, University of Montpellier

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