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

Ebraheem O. Alzahrani; M. M. El-Dessoky; Prashant Dogra

doi:10.1016/j.cnsns.2020.105295

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

Ebraheem O. Alzahrani, M. M. El-Dessoky, Prashant Dogra

Houston Methodist

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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.

Original language	English (US)
Article number	105295
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	90
DOIs	https://doi.org/10.1016/j.cnsns.2020.105295
State	Published - Nov 2020

Keywords

Algae
Cell quota
Chemostat
Droop
Mathematical model

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Applied Mathematics

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10.1016/j.cnsns.2020.105295

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title = "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.",

keywords = "Algae, Cell quota, Chemostat, Droop, Mathematical model",

author = "Alzahrani, \{Ebraheem O.\} and El-Dessoky, \{M. M.\} and Prashant Dogra",

note = "Funding Information: This work was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under grant no. (130-315-D1435). The authors, therefore, acknowledge with thanks DSR technical and financial support. Funding Information: This work was funded by the Deanship of Scientific Research (DSR) , King Abdulaziz University, Jeddah, under grant no. ( 130-315-D1435 ). The authors, therefore, acknowledge with thanks DSR technical and financial support. Publisher Copyright: {\textcopyright} 2020 Elsevier B.V. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

year = "2020",

month = nov,

doi = "10.1016/j.cnsns.2020.105295",

language = "English (US)",

volume = "90",

journal = "Communications in Nonlinear Science and Numerical Simulation",

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T1 - Global dynamics of a cell quota-based model of light-dependent algae growth in a chemostat

AU - Alzahrani, Ebraheem O.

AU - El-Dessoky, M. M.

AU - Dogra, Prashant

N1 - Funding Information: This work was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under grant no. (130-315-D1435). The authors, therefore, acknowledge with thanks DSR technical and financial support. Funding Information: This work was funded by the Deanship of Scientific Research (DSR) , King Abdulaziz University, Jeddah, under grant no. ( 130-315-D1435 ). The authors, therefore, acknowledge with thanks DSR technical and financial support. Publisher Copyright: © 2020 Elsevier B.V. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/11

Y1 - 2020/11

N2 - 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.

AB - 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.

KW - Algae

KW - Cell quota

KW - Chemostat

KW - Droop

KW - Mathematical model

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VL - 90

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

M1 - 105295

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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