Dynamics of the Chemostat: A Bifurcation Theory Approach

Introduction to Stability of Continuous Bioreactors
Introduction
Stability Studies of Continuous Bioreactors
Methodologies for Stability Analysis

Introduction to Bioreactors Models
Introduction
Continuous Bioreactors
Modeling Bioreactors
Kinetic Models for Cell Growth
Product Formation

Introduction to Stability and Bifurcation Theory
Introduction
Local Stability of Steady States
Steady State Multiplicity
Dynamic Bifurcation
Numerical Techniques
Singularity Theory

The Basic Model of Ideal Chemostat
Introduction
Process Model
Static Analysis
Dynamic Behavior for Constant Yield Coefficient
Dynamic Behavior for Variable Yield Coefficient
Concluding Remarks

The Chemostat with Wall Attachment
Introduction
Process Model
Static Analysis for Inhibition Kinetics
Static Analysis for Monod Growth
Quantification of the Stabilizing Effect of Wall Attachment
Concluding Remarks

Pure and Simple Microbial Competition
Introduction
Process Model
Static Bifurcation for Substrate Inhibition
Existence of Periodic Solutions
Monod Kinetics Model
Case of Sterile Feed
Concluding Remarks

Stability of Continuous Recombinant DNA Cultures
Introduction
Process Model
Dynamic Bifurcation
Applications to Monod/Haldane Substrate-Inhibited Kinetics
Implication of Resulting Dynamics
Concluding Remarks

Biodegradation of Mixed Substrates
Introduction
Bioreactor Model
Static Analysis
Concluding Remarks

Predator-Prey Interactions
Introduction
Bioreactor Model
Existence of Oscillatory Behavior
Construction of Operating Diagrams
Application to the Saturation Model
Application to the Multiple Saturation Model
Concluding Remarks

Ratio-Dependent Models
Introduction
Process Model
Existence of Periodic Solutions
Dynamics near the Washout Line
Bifurcation Diagrams
Concluding Remarks

Unstructured Models with Product Formation
Introduction
Type I Models

Models with Product Formation: Type II Models
Process Model
Static Analysis
Case Model 1
Case Model 2
Case Model 3

Models with Product Formation: Type III Models
Bioreactor Model
Static Singularities
Case Model 1
Case Model 2
Concluding Remarks

Operability of Nonideal Bioreactors
Introduction
Process Model
Static Singularities
Dynamic Bifurcation
Application to a Case Model
Concluding Remarks

Operability of Prefermentation of Cheese Culture
Introduction
Process Model
Static Multiplicity
Concluding Remarks

Biodegradation of Wastewater in Aerated Bioreactors
Introduction
Bioreactor Model
Steady-State Analysis
Dynamic Behavior of the Model
Performance Analysis
Concluding Remarks

Complex Dynamics in Activated Sludge Reactors
Introduction
Process Model
Results and Discussion
Concluding Remarks

Complex Dynamics in Forced Bioreactors
Introduction
Process Model and Presentations Techniques
Results and Discussion
Concluding Remarks

Appendix

Bibliography

Index