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Based on the authors' extensive work in this field, this book explores the use of bifurcation theory to analyze the static and dynamic behavior of the chemostat. It presents a systematic, simple, and unified mathematical framework using singularity theory and bifurcation techniques. The authors cover a variety of case studies ranging from simple microbial growth to dynamics of interacting species to dynamics with product formation. They also address the connections between the design and control of the chemostat within the framework of singularity theory.
Abdelhamid Ajbar is a professor in the Department of Chemical Engineering at King Saud University. He earned a Ph.D. in chemical engineering from the University of Notre Dame. His research interests encompass the analysis, design, and control of chemical and biochemical systems as well as the applications of chaos theory to study hydrodynamics of multiphase reactors. Khalid Alhumaizi is a professor in the Department of Chemical Engineering at King Saud University. He earned a Ph.D. in chemical engineering from the University of Minnesota. He also co-authored (with the late R. Aris) the book Surveying a Dynamical System: A Study of the Gray-Scott Reaction in a Two-Phase Reactor. His research interests include process modeling and simulation and nonlinear dynamics.
Introduction to Stability of Continuous Bioreactors. Introduction to Bioreactors Models. Introduction to Stability and Bifurcation Theory. The Basic Model of Ideal Chemostat. The Chemostat with Wall Attachment. Pure and Simple Microbial Competition. Stability of Continuous Recombinant DNA Cultures. Biodegradation of Mixed Substrates. Predator-Prey Interactions. Ratio-Dependent Models. Unstructured Models with Product Formation. Models with Product Formation: Type II Models. Models with Product Formation: Type III Models. Operability of Nonideal Bioreactors. Operability of Prefermentation of Cheese Culture. Biodegradation of Wastewater in Aerated Bioreactors. Complex Dynamics in Activated Sludge Reactors. Complex Dynamics in Forced Bioreactors. Appendix. Bibliography. Index.
