A dynamic growth model of Dunaliella salina: parameter identification and profile likelihood analysis

Bioresour Technol. 2014 Dec:173:21-31. doi: 10.1016/j.biortech.2014.08.124. Epub 2014 Sep 10.

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.

Keywords: Batch fermentation; Dunaliella salina; Mathematical modeling; Parameter identifiability; Profile likelihood.

MeSH terms

  • Bioreactors / microbiology*
  • Cell Proliferation / drug effects
  • Cell Proliferation / physiology*
  • Chlorophyta / growth & development*
  • Chlorophyta / radiation effects
  • Computer Simulation
  • Light
  • Likelihood Functions
  • Models, Biological*
  • Models, Statistical
  • Photosynthesis / physiology*
  • Photosynthesis / radiation effects
  • Radiation Dosage
  • Stress, Physiological / physiology
  • Stress, Physiological / radiation effects