Kinetic modeling of the photosynthetic growth of Chlamydomonas reinhardtii in a photobioreactor
Abstract
The aim of this study was to establish and validate a model for the photosynthetic growth of Chlamydomonas reinhardtii in photobioreactors (PBRs). The proposed model is based on an energetic analysis of the excitation energy transfer in the photosynthesis apparatus (the Z-scheme for photosynthesis). This approach has already been validated in cyanobacteria (Arthorspira platensis) and is extended here to predict the volumetric biomass productivity for the microalga C. reinhardtii in autotrophic conditions, taking into consideration the two metabolic processes taking place in this eukaryotic microorganism, namely photosynthesis and respiration. The kinetic growth model obtained was then coupled to a radiative transfer model (the two-flux model) to determine the local kinetics, and thereby the volumetric biomass productivity, in a torus PBR. The model was found to predict PBR performances accurately for a broad set of operating conditions, including both light-limited and kinetic growth regimes, with a variance of less than 10% between experimental results and simulations.
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Cornet's model was widely applied for light transfer in photobioreactors with quasi one-dimensional geometry and can be considered a good approximation of light transfer in such systems.
“Cornet's model was widely applied for light transfer in photobioreactors with a quasi one-dimensional geometry [132,216-218] and can be considered a good approximation of light transfer in such systems.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [216]
Extensions of Cornet's model include consideration of reflective boundaries.
“Extensions also include the consideration of reflective boundaries [216].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [216]
Cites
Light Scattering by Small Particles
van de Hulst, H. C. (1981) · CERN Document Server (European Organization for Nuclear Research) · Cited by 7,924 · see citing works
Thermal Radiation Heat Transfer
Ellison, G. (2010) · CRC Press eBooks · doi:10.1201/b12772-12 · Cited by 5,423 · see citing works
Scattering, Absorption, and Emission of Light by Small Particles
Mishchenko, M. I., Lacis, A. A., & Travis, L. D. (2002) · Cited by 2,155 · see citing works
Thermal Radiation Heat Transfer
Howell, J. R., Mengüç, M. P., & Siegel, R. J. (2010) · CRC Press eBooks · doi:10.1201/9781439894552 · Cited by 1,416 · see citing works
The Chlamydomonas sourcebook: a comprehensive guide to biology and laboratory use
(1990) · Choice Reviews Online · doi:10.5860/choice.27-2713 · Cited by 1,075 · see citing works
Hartmann, M. (1984) · Acta Polymerica · doi:10.1002/actp.1984.010350426 · Cited by 1,072 · see citing works
Energetics and Kinetics in Biotechnology
Roels, J. A. (1983) · Cited by 980 · see citing works
Handbook of Microalgal Culture. Biotechnology and Applied Phycology
Moi, P. S. (2004) · Journal of Applied Phycology · doi:10.1023/b:japh.0000044943.45511.5e · Cited by 920 · see citing works
Handbook of microalgal culture: biotechnology and applied phycology.
RICHMOND, A. E. (2004) · Cited by 861 · see citing works
ACCLIMATION TO SPECTRAL IRRADIANCE IN ALGAE
Falkowski, P. G., & LaRoche, J. (1991) · Journal of Phycology · doi:10.1111/j.0022-3646.1991.00008.x · Cited by 768 · see citing works
The Chlamydomonas sourcebook. A comprehensive guide to biology and laboratory use
Coleman, A. W. (1990) · Trends in Genetics · doi:10.1016/0168-9525(90)90080-p · Cited by 447 · see citing works
Photoreactor Analysis and Design: Fundamentals and Applications
Cassano, A. E., Martín, C. A., Brandi, R. J., & Alfano, O. M. (1995) · Industrial & Engineering Chemistry Research · doi:10.1021/ie00046a001 · Cited by 434 · see citing works
Pruvost, J., Vooren, G. V., Gouic, B. L., Couzinet‐Mossion, A., & Legrand, J. (2010) · Bioresource Technology · doi:10.1016/j.biortech.2010.06.153 · Cited by 331 · see citing works
Self-citationPottier, L., Pruvost, J., Deremetz, J., Cornet, J. ‐., Legrand, J., & Dussap, C. G. (2005) · Biotechnology and Bioengineering · doi:10.1002/bit.20475 · Cited by 239 · see citing works
Self-citationGrowth kinetics of photosynthetic microorganisms
Aiba, S. (1982) · Advances in Biochemical Engineering/Biotechnology · doi:10.1007/3540116982_3 · Cited by 213 · see citing works
Grobbelaar, J. U., Nedbal, L., & Tichý, V. (1996) · Journal of Applied Phycology · doi:10.1007/bf02178576 · Cited by 202 · see citing works
Cornet, J. F., Dussap, C. G., & Dubertret, G. (1992) · Biotechnology and Bioengineering · doi:10.1002/bit.260400709 · Cited by 177 · see citing works
Self-citationCornet, J., & Dussap, C. (2009) · Biotechnology Progress · doi:10.1002/btpr.138 · Cited by 175 · see citing works
Self-citationNumerical investigation of hydrodynamic and mixing conditions in a torus photobioreactor
Pruvost, J., Pottier, L., & Legrand, J. (2006) · Chemical Engineering Science · doi:10.1016/j.ces.2006.02.027 · Cited by 154 · see citing works
Self-citationEfficiency of light utilization of Chlamydomonas reinhardtii under medium-duration light/dark cycles
Janssen, M. G. J., Janssen, M., de Winter, M., TRAMPER, J., Mur, L. R., Snel, J., & Wijffels, R. H. (2000) · Journal of Biotechnology · doi:10.1016/s0168-1656(99)00233-3 · Cited by 148 · see citing works
Takache, H., Christophe, G., Cornet, J., & Pruvost, J. (2009) · Biotechnology Progress · doi:10.1002/btpr.356 · Cited by 146 · see citing works
Self-citationPruvost, J., Cornet, J.-F., & Legrand, J. (2008) · Chemical Engineering Science · doi:10.1016/j.ces.2008.04.026 · Cited by 131 · see citing works
Self-citationScattering effects in photosensitized reactions
Spadoni, G., Bandini, E., & Santarelli, F. (1978) · Chemical Engineering Science · doi:10.1016/0009-2509(78)80012-8 · Cited by 118 · see citing works
O2 Uptake in the Light in Chlamydomonas
Peltier, G., & Thibault, P. (1985) · PLANT PHYSIOLOGY · doi:10.1104/pp.79.1.225 · Cited by 108 · see citing works
Janssen, M. G. J., Kuijpers, T. C., Veldhoen, B., Ternbach, M. B., TRAMPER, J., Mur, L. R., & Wijffels, R. H. (1999) · Journal of Biotechnology · doi:10.1016/s0168-1656(99)00084-x · Cited by 105 · see citing works
Cournac, L. (2002) · International Journal of Hydrogen Energy · doi:10.1016/s0360-3199(02)00105-2 · Cited by 102 · see citing works
Eriksen, N. T., Riisgård, F. K., Gunther, W. S., & Iversen, J. J. L. (2006) · Journal of Applied Phycology · doi:10.1007/s10811-006-9122-y · Cited by 99 · see citing works
Growth Kinetics of Photosynthetic Microorganisms
Aiba, S. (1982) · De Gruyter eBooks · doi:10.1515/9783112620748-003 · Cited by 97 · see citing works
Cornet, J.-F. (2010) · Chemical Engineering Science · doi:10.1016/j.ces.2009.09.052 · Cited by 86 · see citing works
Self-citationThe Differential-Discrete-Ordinate Method for Solutions of the Equation of Radiative Transfer
Kumar, S., Majumdar, A., & Tien, C. L. (1990) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.2910395 · Cited by 79 · see citing works
Conversion of radiant light energy in photobioreactors
Cornet, J. F., Dussap, C. G., & Gros, J. B. (1994) · AIChE Journal · doi:10.1002/aic.690400616 · Cited by 73 · see citing works
Self-citationModeling dynamic functioning of rectangular photobioreactors in solar conditions
Pruvost, J., Cornet, J., Goetz, V., & Legrand, J. (2010) · AIChE Journal · doi:10.1002/aic.12389 · Cited by 67 · see citing works
Self-citationFouchard, S., Pruvost, J., Degrenne, B., & Legrand, J. (2008) · International Journal of Hydrogen Energy · doi:10.1016/j.ijhydene.2008.03.067 · Cited by 67 · see citing works
Self-citationA practical handbook of seawater analysis ; Pigment analysis
Strickland, J. (1968) · Medical Entomology and Zoology · Cited by 67 · see citing works
Cogne, G., Rügen, M., Bockmayr, A., Titica, M., Dussap, C., Cornet, J., & Legrand, J. (2011) · Biotechnology Progress · doi:10.1002/btpr.596 · Cited by 64 · see citing works
Self-citationDesign of a photo-bioreactor for modelling purposes
Csőgör, Z., Herrenbauer, M., Perner-Nochta, I., Schmidt, K., & Posten, C. H. (1999) · Chemical Engineering and Processing - Process Intensification · doi:10.1016/s0255-2701(99)00048-3 · Cited by 45 · see citing works
Irazoqui, H. A., Cerdá, J., & Cassano, A. E. (1976) · The Chemical Engineering Journal · doi:10.1016/0300-9467(76)80004-4 · Cited by 44 · see citing works
Degrenne, B., Pruvost, J., & Legrand, J. (2010) · Bioresource Technology · doi:10.1016/j.biortech.2010.08.009 · Cited by 40 · see citing works
Self-citationGibson, C. E. (1978) · Journal of Ecology · doi:10.2307/2259183 · Cited by 37 · see citing works
Model‐supported optimization of phototrophic growth in a stirred‐tank photobioreactor
Franco‐Lara, E., Havel, J., Peterat, F., & Weuster‐Botz, D. (2006) · Biotechnology and Bioengineering · doi:10.1002/bit.21086 · Cited by 36 · see citing works
Farges, B., Laroche, C., Cornet, J., & Dussap, C. (2009) · Biotechnology Progress · doi:10.1002/btpr.95 · Cited by 34 · cited 1× · see citing works
“This equation was established after a rigorous analysis of the excitation energy transfer in the photosynthetic apparatus, which leads to a charge separation in the reaction center (the Z-scheme for photosynthesis) and proves efficient in numerous cases, confirming its predictivity.(11,17,27) The predictive value of t…”
BackgroundSelf-citationModeling Stability of Photoheterotrophic Continuous Cultures in Photobioreactors
Cornet, J., Favier, L., & Dussap, C. (2003) · Biotechnology Progress · doi:10.1021/bp034041l · Cited by 30 · see citing works
Self-citationPottier, L. (2005) · OpenGrey (Institut de l'Information Scientifique et Technique) · Cited by 4 · see citing works
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Cited by
Sorted by citations
Pruvost, J., Le Gouic, B., Lepine, O., Legrand, J., & Le Borgne, F. (2016) · Chemical Engineering Journal · doi:10.1016/j.cej.2015.08.118 · Cited by 162 · see citing works
Self-citationA review on photobioreactor design and modelling for microalgae production
Legrand, J., Artu, A., & Pruvost, J. (2021) · Reaction Chemistry & Engineering · doi:10.1039/d0re00450b · Cited by 125 · see citing works
Self-citationBlanken, W., Postma, P. R., de Winter, L., Wijffels, R. H., & Janssen, M. (2016) · Algal Research · doi:10.1016/j.algal.2015.12.020 · Cited by 99 · see citing works
Takache, H., Pruvost, J., & Marec, H. (2015) · Algal Research · doi:10.1016/j.algal.2015.02.009 · Cited by 79 · see citing works
Self-citationIndustrial Photobioreactors and Scale-Up Concepts
Pruvost, J., Le Borgne, F., Artu, A., Cornet, J.-F., & Legrand, J. (2016) · Advances in Chemical Engineering · doi:10.1016/bs.ache.2015.11.002 · Cited by 75 · see citing works
Self-citationSimple method for measuring the spectral absorption cross-section of microalgae
Kandilian, R., Soulies, A., Pruvost, J., Rousseau, B., Legrand, J., & Pilon, L. (2016) · Chemical Engineering Science · doi:10.1016/j.ces.2016.02.039 · Cited by 62 · see citing works
Self-citationKandilian, R., Pruvost, J., Artu, A., Lemasson, C., Legrand, J., & Pilon, L. (2016) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2016.01.031 · Cited by 58 · see citing works
Self-citationModeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review
Luzi, G., & McHardy, C. (2022) · Energies · doi:10.3390/en15113966 · Cited by 44 · see citing works
Microalgal kinetics—A guideline for photobioreactor design and process development
Schediwy, K., Trautmann, A., Steinweg, C., & Posten, C. (2019) · Engineering in Life Sciences · doi:10.1002/elsc.201900107 · Cited by 42 · see citing works
The Application of Spectroscopy Technology in the Monitoring of Microalgae Cells Concentration
Liu, J.-Y., Zeng, L.-H., & Ren, Z.-H. (2021) · Applied Spectroscopy Reviews · doi:10.1080/05704928.2020.1763380 · Cited by 33 · see citing works
Can spherical eukaryotic microalgae cells be treated as optically homogeneous?
Bhowmik, A., & Pilon, L. (2016) · Journal of the Optical Society of America A · doi:10.1364/josaa.33.001495 · Cited by 30 · see citing works
Photobioreactor Modeling and Radiative Transfer Analysis for Engineering Purposes
Dauchet, J., Cornet, J.-F., Gros, F., Roudet, M., & Dussap, C.-G. (2016) · Advances in Chemical Engineering · doi:10.1016/bs.ache.2015.11.003 · Cited by 28 · see citing works
Self-citationLuzi, G., McHardy, C., Lindenberger, C., Rauh, C., & Delgado, A. (2019) · Algal Research · doi:10.1016/j.algal.2018.101404 · Cited by 24 · see citing works
Light transfer in agar immobilized microalgae cell cultures
Kandilian, R., Jesus, B., Legrand, J., Pilon, L., & Pruvost, J. (2017) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2017.04.027 · Cited by 20 · see citing works
Self-citationBarbera, E., Sforza, E., Guidobaldi, A., Di Carlo, A., & Bertucco, A. (2017) · Renewable Energy · doi:10.1016/j.renene.2017.03.013 · Cited by 22 · see citing works
Modeling outdoors algal cultivation with compartmental approach
Nauha, E. K., & Alopaeus, V. (2015) · Chemical Engineering Journal · doi:10.1016/j.cej.2014.08.073 · Cited by 18 · see citing works
Ma, C. Y., Zhao, J. M., Liu, L. H., & Zhang, L. (2019) · Journal of Applied Phycology · doi:10.1007/s10811-018-1499-x · Cited by 7 · see citing works
- Authors
- Takache, H., Pruvost, J., & Cornet, J.
- Affiliations
- Centre National de la Recherche Scientifique (FR)
- Corresponding author
- Pruvost, Jérémy
- Venue
- Biotechnology Progress
- Publisher
- Wiley
- Published
- 2012-05
- Volume
- 28
- Issue
- 3
- Pages
- 681-692
- ISSN
- 1520-6033 (ISSN-L)
- 8756-7938
- OpenAlex
- W2014338930
- Cited by
- 112
- References
- 43
- Citations by year
- 2026: 5 · 2025: 3 · 2024: 11 · 2023: 9 · 2022: 7 · 2021: 11 · 2020: 6 · 2019: 13 · 2018: 5 · 2017: 2 · 2016: 17 · 2015: 9 · 2014: 7 · 2013: 7
- FWCI
- 2.82
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Biotechnology Progress (publishedVersion)
- PubMed (publishedVersion)
- HAL (submittedVersion)
- Funders
- Agence Nationale de la Recherche
- Topics
- Physical Sciences › Energy › Renewable Energy, Sustainability and the Environment › Algal biology and biofuel production
- Physical Sciences › Engineering › Biomedical Engineering › Fluid Dynamics and Mixing
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Photosynthetic Processes and Mechanisms
- Keywords
- Chlamydomonas reinhardtii, photobioreactors, Z-scheme, excitation energy transfer, respiration, light limitation, microalgae cultivation
- MeSH terms
- Kinetics, Models, Theoretical, Photosynthesis, Chlamydomonas reinhardtii, Bioreactors
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