Theory of turbid microalgae cultures

• Published in: Journal of theoretical biology Vol. 456; pp. 190 - 200
• Main Authors: Martínez, Carlos, Mairet, Francis, Bernard, Olivier
• Format: Journal Article
• Language: English
• Published: England Elsevier Ltd 07-11-2018; Elsevier
• Subjects: Animals; Automatic Control Engineering; Computer Science; Culture Media; Game Theory; Light; Light limitation; Microalgae - growth & development; Modelling; Optical depth; Photobioreactor; Photobioreactors; Photoinhibition; Photosynthesis - physiology; Population Density; Turbidity; Photoinhibition; Modelling; Photobioreactor; Optical depth; Light limitation; Turbidity
• ISSN: 0022-5193; 1095-8541
• DOI: 10.1016/j.jtbi.2018.07.016

•Average growth rate is determined by the maximum and minimum light intensities in the PBR.•There exists an optical depth maximizing the average growth rate.•There is an optimal incident light intensity depending on the turbidity of the culture.•Incident light can inhibit the growth rate even in dense cultures.•Conditions for the occurrence of Allee effect are determined.
Microalgae can be cultivated in closed or open photobioreactors (PBR). In these systems, light rapidly decreases as it passes through the culture due to the turbidity of the medium. Thus, microalgae experiment different light intensities depending on their position in the medium. In this paper, we study theoretically how the growth rate of microalgae is affected by different factors; incident light intensity, form of the PBR, microalgae population density, turbidity of non-microalgae components, and light path-length of the reactor. We show that for different types of PBR the average growth rate is completely determined by the incident light intensity and the optical depth. In the case of vertical cylindrical PBRs illuminated from above (e.g. race-way or panel-type reactors), we described (and we prove under general assumptions) in details the dependence of the AGR on the aforementioned factors. Finally, we discuss some implications of our analysis; the occurrence of the Allee effect, if light ostensibly limits or inhibits the growth rate in outdoor cultures, and how the geometry of the PBR affects microalgae growth rate and productivity.