title: A dynamic growth model of Dunaliella salina: parameter identification and profile likelihood analysis.
abstract: In this work, a photoautotrophic growth model incorporating light and nutrient effects on growth and pigmentation of Dunaliella salina was formulated. The model equations were taken from literature and modified according to the experimental setup with special emphasis on model reduction. The proposed model has been evaluated with experimental data of D. salina cultivated in a flat-plate photobioreactor under stressed and non-stressed conditions. Simulation results show that the model can represent the experimental data accurately. The identifiability of the model parameters was studied using the profile likelihood method. This analysis revealed that three model parameters are practically non-identifiable. However, some of these non-identifiabilities can be resolved by model reduction and additional measurements. As a conclusion, our results suggest that the proposed model equations result in a predictive growth model for D. salina.
authors.affiliation: Max Planck Institute for Dynamics of Complex Technical Systems, Process Systems Engineering, Sandtorstr. 1, 39106 Magdeburg, Germany.
authors.forename: Melanie
authors.initials: M
authors.lastname: Fachet
authors.affiliation: Max Planck Institute for Dynamics of Complex Technical Systems, Process Systems Engineering, Sandtorstr. 1, 39106 Magdeburg, Germany.
authors.forename: Robert J
authors.initials: RJ
authors.lastname: Flassig
authors.affiliation: Max Planck Institute for Dynamics of Complex Technical Systems, Process Systems Engineering, Sandtorstr. 1, 39106 Magdeburg, Germany. Electronic address: rihko@mpi-magdeburg.mpg.de.
authors.forename: Liisa
authors.initials: L
authors.lastname: Rihko-Struckmann
authors.affiliation: Max Planck Institute for Dynamics of Complex Technical Systems, Process Systems Engineering, Sandtorstr. 1, 39106 Magdeburg, Germany; Otto von Guericke University Magdeburg, Process Systems Engineering, Universitätsplatz 2, 39106 Magdeburg, Germany.
authors.forename: Kai
authors.initials: K
authors.lastname: Sundmacher
mesh_terms: D019149:Bioreactors / Q000382:microbiology*; D049109:Cell Proliferation / Q000187:drug effects / Q000502:physiology*; D000460:Chlorophyta / Q000254:growth & development* / Q000528:radiation effects; D003198:Computer Simulation; D008027:Light; D016013:Likelihood Functions; D008954:Models, Biological; D015233:Models, Statistical; D010788:Photosynthesis / Q000502:physiology* / Q000528:radiation effects; D011829:Radiation Dosage; D013312:Stress, Physiological / Q000502:physiology / Q000528:radiation effects
keywords: Batch fermentation; Dunaliella salina; Mathematical modeling; Parameter identifiability; Profile likelihood