A possible predictive mathematical model for the growth of a periphytic alga

Abstract Algae are photosynthetic organisms and have qualities that are very attractive for cultivation and industrial development for commercial purposes. When algal growth is analyzed for the production of biomass usually only the exponential phase of the growth curve is considered and the other p...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 2159; no. 1; pp. 12004 - 12011
Main Authors Agredo, J, Cárdenas-Poblador, J, Ortiz-Moreno, M L, Vega-Moreno, A
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.01.2022
Subjects
Algae
Industrial development
Mathematical analysis
Mathematical models
Photosynthesis
Physics
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Summary:Abstract Algae are photosynthetic organisms and have qualities that are very attractive for cultivation and industrial development for commercial purposes. When algal growth is analyzed for the production of biomass usually only the exponential phase of the growth curve is considered and the other phases are ignored. The objective of the work is to present a possible predictive mathematical model that allows a better understanding of the kinetic behavior of a periphytic microalgae by means of the use of the Smoluchowski discrete equation, with special emphasis on the lag phase. More specifically, unknown connection between the discrete Smoluchowski equation and the deterministic Baranyi model is shown in the present study. Analysis of this connection leads to a possible predictive mathematical model about of the kinetic behavior of a periphytic microalgae.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2159/1/012004