Dynamics of the Chemostat: A Bifurcation Theory Approach, 1st Edition (e-Book) book cover

Dynamics of the Chemostat

A Bifurcation Theory Approach, 1st Edition

By Abdelhamid Ajbar, Khalid Alhumaizi

Chapman and Hall/CRC

368 pages

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Description

A ubiquitous tool in mathematical biology and chemical engineering, the chemostat often produces instabilities that pose safety hazards and adversely affect the optimization of bioreactive systems. Singularity theory and bifurcation diagrams together offer a useful framework for addressing these issues. Based on the authors' extensive work in this

Table of Contents

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.

About the Authors

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.

Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations
SCI010000
SCIENCE / Biotechnology