Abstract
Mathematical modeling and the development of predictive dynamic models are of paramount importance for the optimization, state estimation, and control of bioprocesses. This study is dedicated to the identification of a simple model of microalgae growth under substrate limitation, i.e., Droop model, and describes the design and instrumentation of a lab-scale flat-plate photobioreactor, the associated on-line and off-line instrumentation, the collection of experimental data, and the parameter identification procedure. In particular, a dedicated methodology for parameter identification is discussed, including the determination of an initial parameter set using an analytical procedure, the selection of a cost function, the evaluation of confidence intervals as well as direct and cross-validation tests.
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References
Qiang H, Sommerfeld M, Jarvis E, Ghirardi M, Posewitz M, Seibert M, Darzins A (2008) Microalgal triacylglycerols as feedstocks for biofuel production: perspectives and advances. Plant J 54(4):621–639
Chisti Y (2007) Biodiesel from microalgae. Biotechnol Adv 25(3):294–306
Becker EW (1993) Microalgae: biotechnology and microbiology, vol 10. Cambridge University Press, Cambridge
Bogaerts Ph, Vande Wouwer A (2003) Software sensors for bioprocesses. ISA Trans 42(4):547–558
Droop MR (1983) 25 years of algal growth kinetics a personal view. Bot Mar 26(3):99–112
Geider RJ, MacIntyre HL, Kana TM (1998) A dynamic regulatory model of phytoplanktonic acclimation to light, nutrients, and temperature. Limnol Oceanogr, 679–694
Mairet F, Bernard O, Masci P, Lacour T, Sciandra A (2011) Modelling neutral lipid production by the microalga Isochrysis aff. galbana under nitrogen limitation. Bioresour technol 102(1):142–149
Bernard O (2011) Hurdles and challenges for modelling and control of microalgae for CO\(_2\) mitigation and biofuel production. J Process Control
Droop MR (1968) Vitamin b12 and marine ecology. iv. the kinetics of uptake, growth and inhibition in monochrysis lutheri. J Mar Biol Assoc UK 48(3):689–733
Bernard O, Rémond B (2012) Validation of a simple model accounting for light and temperature effect on microalgal growth. Bioresour Technol
Bernard O, Gouzé J-L (1995) Transient behavior of biological loop models, with application to the Droop model. Math Biosci 127(1):19–43
Karlsson M, Karlberg B, Olsson RJO (1995) Determination of nitrate in municipal waste water by uv spectroscopy. Anal Chim Acta 312(1):107–113, 1995
Water Environment Federation American Public Health Association (1999) American Water Works Association. Standard methods for the examination of water and wastewater
Walter E, Pronzato L (1997) Identification of parametric models. Commun Cont Eng. Springer, New York
Dugdale RC (1967) Nutrient limitation in the sea: dynamics, identification, and significance. Limnol Oceanogr, 685–695
Benavides M, Mailier J, Hantson A-L, Muñoz G, Vargas A, Van Impe J, Vande Wouwer A (2015) Design and test of a low-cost rgb sensor for online measurement of microalgae concentration within a photo-bioreactor. Sensors 15:4766–4780
Acknowledgments
This paper presents research results of the Belgian Network DYSCO (Dynamical Systems, Control, and Optimization), funded by the Interuniversity Attraction Poles Programme, initiated by the Belgian State, Science Policy Office (BELSPO). The authors are grateful to Olivier Bernard (INRIA-Sofia Antipolis) for providing the microalgal strains.
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Benavides, M., Hantson, AL., Van Impe, J. et al. Parameter identification of Droop model: an experimental case study. Bioprocess Biosyst Eng 38, 1783–1793 (2015). https://doi.org/10.1007/s00449-015-1419-2
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DOI: https://doi.org/10.1007/s00449-015-1419-2