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.
- 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
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
