Global dynamics of a cell quota-based model of light-dependent algae growth in a chemostat

Abstract A chemostat is a widely used laboratory and industrial scale equipment for continuous culture of microalgae and other microorganisms under controlled conditions. Being a photosynthetic organism, light and other nutrients are growth limiting for all microalgal species, and thus optimization of external conditions is necessary to maximize algae harvest at a commercial scale. In this study, we mechanistically formulate a cell quota-based, light-dependent model of algae growth in a chemostat and study various mathematical properties of the model, in addition to exploration of the parameter space for obtaining guidelines on biomass growth optimization.

[1]  Scott C. James,et al.  Modeling Algae Growth in an Open-Channel Raceway , 2008, J. Comput. Biol..

[2]  Francis Mairet,et al.  Maximizing microalgae productivity by shading outdoor cultures , 2017 .

[3]  Jacqueline McGlade,et al.  Modelling the interacting effects of nutrient uptake, light capture and temperature on phytoplankton growth , 2001 .

[4]  Analysis of microalgae dynamics models , 2020 .

[5]  J. Monod,et al.  Thetechnique of continuous culture. , 1950 .

[6]  Thomas H. Bradley,et al.  Microalgae bulk growth model with application to industrial scale systems. , 2011, Bioresource technology.

[7]  Hyun-Joon La,et al.  Simple processes for optimized growth and harvest of Ettlia sp. by pH control using CO2 and light irradiation , 2015, Biotechnology and bioengineering.

[8]  Gail S. K. Wolkowicz,et al.  Global Asymptotic Behavior of a Chemostat Model with Two Perfectly Complementary Resources and Distributed Delay , 2000, SIAM J. Appl. Math..

[9]  J. Huisman,et al.  Principles of the light-limited chemostat: theory and ecological applications , 2002, Antonie van Leeuwenhoek.

[10]  R. Wijffels,et al.  Predicting microalgae growth , 2016 .

[11]  Elena Litchman,et al.  Phytoplankton growth and stoichiometry under multiple nutrient limitation , 2004 .

[12]  M. R. Droop,et al.  25 Years of Algal Growth Kinetics A Personal View , 1983 .

[13]  Trevor Platt,et al.  Mathematical formulation of the relationship between photosynthesis and light for phytoplankton , 1976 .

[14]  A. Kuwata,et al.  Effect of dilution rate on competitive interactions between the cyanobacterium Microcystis novacekii and the green alga Scenedesmus quadricauda in mixed chemostat cultures , 2004 .

[15]  O. Bokhove,et al.  Modeling and optimization of algae growth , 2010 .

[16]  J Alex,et al.  Modelling waste stabilisation ponds with an extended version of ASM3. , 2010, Water science and technology : a journal of the International Association on Water Pollution Research.

[17]  Bernd Blasius,et al.  Cycles, phase synchronization, and entrainment in single-species phytoplankton populations , 2010, Proceedings of the National Academy of Sciences.

[18]  Kevin J. Flynn,et al.  A mechanistic model for describing dynamic multi-nutrient, light, temperature interactions in phytoplankton , 2001 .

[19]  R. Steuer,et al.  Optimal proteome allocation strategies for phototrophic growth in a light-limited chemostat , 2019, Microbial Cell Factories.

[20]  Joseph D Butner,et al.  A mathematical model to predict nanomedicine pharmacokinetics and tumor delivery , 2020, Computational and structural biotechnology journal.

[21]  U. Sommer.  A comparison of the Droop and the Monod models of nutrient limited growth applied to natural populations of phytoplankton , 1991 .

[22]  S. Levin,et al.  Dynamic model of flexible phytoplankton nutrient uptake , 2011, Proceedings of the National Academy of Sciences.

[23]  R. Aris.  1 – What is Chemical Reactor Analysis? , 1989 .

[24]  R. Rhinehart,et al.  Modeling and Optimization of Algae Growth , 2015 .

[25]  B. Sivaprakash,et al.  Kinetic modeling of microalgal growth and lipid synthesis for biodiesel production , 2014, 3 Biotech.

[26]  O. Bernard,et al.  Maximizing microalgae productivity in a light-limited chemostat ⁎ ⁎This work was supported by the CONICYT doctoral grant (Carlos Martínez), and by the Phycover (ANR-14-CE04-0011) and IPL Algae in silico (INRIA) projects. , 2018 .

[27]  D. O’Regan,et al.  Dynamics of the stochastic chemostat with Monod-Haldane response function , 2017, Scientific Reports.

[28]  Bingtuan Li,et al.  Global dynamics of microbial competition for two resources with internal storage , 2007, Journal of mathematical biology.

[29]  N. Panikov.  Kinetics of Microbial Processes , 2013 .

[30]  S. Pirt.  The maintenance energy of bacteria in growing cultures , 1965, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[31]  Maria J Barbosa,et al.  Comparison of four outdoor pilot-scale photobioreactors , 2015, Biotechnology for Biofuels.

[32]  D. Martens,et al.  Simultaneous growth and neutral lipid accumulation in microalgae. , 2013, Bioresource technology.

[33]  M. R. Droop,et al.  Vitamin B12 and Marine Ecology. IV. The Kinetics of Uptake, Growth and Inhibition in Monochrysis Lutheri , 1968, Journal of the Marine Biological Association of the United Kingdom.

[34]  E. Laws,et al.  Elemental Composition, Phosphorous Uptake, and Characteristics of Growth of a SAR11 Strain in Batch and Continuous Culture , 2019, mSystems.

[35]  M. Droop.  SOME THOUGHTS ON NUTRIENT LIMITATION IN ALGAE 1 , 1973 .

[36]  M. Behrenfeld,et al.  The ratio of single-turnover to multiple-turnover fluorescence varies predictably with growth rate and cellular chlorophyll in the green alga Dunaliella tertiolecta , 2019, Photosynthesis Research.

[37]  Aaron Packer,et al.  Cell Quota Based Population Models and their Applications , 2014 .