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Table of contents
1 Introduction
2 State of the art: Modeling microalgae growth in chemostats
2.1 Introduction
2.2 Microalgae modeling
2.2.1 Light limitation
2.2.2 Photoacclimation
2.2.3 Nutrient limitation
2.2.4 Co-limitation by light and nutrient
2.3 Dynamics of microalgae models
2.3.1 Light limitation
2.3.2 Nutrient limitation
2.3.3 Co-limitation by light and nutrients
2.4 Discussion and conclusions
3 Theory of turbid microalgae cultures
3.1 Chapter presentation
3.2 Introduction
3.3 Average growth rate (AGR)
3.4 Properties of the AGR in flat-plate PBRs
3.5 Discussion
3.6 Conclusions
4 Co-limitation by light and substrate under periodic forcing
4.1 Chapter presentation
4.2 Introduction
4.3 Model description and basic properties
4.3.1 Model description
4.3.2 Existence, uniqueness and boundedness of solutions
4.4 Reduced system
4.5 Main results
4.6 Application: Microalgae growth under phosphorus and light limitation
4.7 Discussion and conclusions
5 Co-limitation by light and substrate: Including photoinhibition.
5.1 Chapter presentation
5.2 Introduction
5.3 Model description
5.4 Basic properties and persistence
5.5 Existence of non-trivial steady states
5.6 Numerical study of the steady states
5.7 Conclusions
6 Optimization of microalgae processes under light limitation
6.1 Chapter presentation
6.2 Introduction
6.3 Modeling light-limited growth of microalgae
6.4 Maximizing microalgae productivity: Indoor case
6.4.1 Dynamics of a light-limited chemostat
6.4.2 Maximizing biomass productivity
6.5 Maximizing microalgae productivity by shading outdoor cultures
6.5.1 Control strategy
6.5.2 Dynamics of the controlled culture
6.5.3 Simulations
6.6 Conclusions
7 Optimization of microalgae processes under light and substrate limitation
7.1 Chapter presentation
7.2 Introduction
7.3 Model description
7.4 Maximizing microalgae productivity
7.5 Conclusions
8 Microalgae growth limited by light, nitrogen, and phosphorus
8.1 Chapter presentation
8.2 Introduction
8.3 Model description
8.4 Fitting of the model
8.5 Removal capacity of the system
8.6 Conclusions
9 Conclusions
