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An Improved Logistic Model Illustrating Microcystis aeruginosa Growth Under Different Turbulent Mixing Conditions

1
College of Environmental Science and Engineering, Tongji University, Shanghai 200092, China
2
School of Environment and Architecture, University of Shanghai for Science and Technology, Shanghai 200093, China
*
Author to whom correspondence should be addressed.
Water 2019, 11(4), 669; https://doi.org/10.3390/w11040669
Received: 24 January 2019 / Revised: 16 March 2019 / Accepted: 22 March 2019 / Published: 31 March 2019
(This article belongs to the Special Issue Advancing Knowledge on Cyanobacterial Blooms in Freshwaters)
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Abstract

To overcome the limitations of the normal logistic equation, we aimed to improve the logistic model under hydrodynamic conditions for the examination of the responses of cyanobacterium, coupled turbulence mixing, and growth of cyanobacterium in population dynamics models. Selecting Microcystis aeruginosa and experimenting with the ideal conditions in a laboratory beaker, the chlorophyll-a concentration reached the corresponding maximum under each turbulent condition compared with the control. According to the experiment results, the theory of mass transfer, turbulence mixing, and the logistic equation are organically combined. The improved logistic growth model of Microcystis aeruginosa and competition growth model in the symbiont Scenedesmus quadricauda under turbulent conditions were established. Using the MATLAB multi-parameter surface fitting device, both models produced good fitting effects, with R > 0.95, proving that the results fit the models, and demonstrating the relationship of the unity of nutrient transfer and algae growth affected by turbulence mixing. With continuous increases in turbulent mixing, the fitted curve became smoother and steadier. Algae stimulated by turbulence accelerate reproduction and fission to achieve population dominance. The improved logistic model quantitatively explains the Microcystis aeruginosa response to turbulence and provides a basis to represent ecological and biogeochemical processes in enclosed eutrophic water bodies. View Full-Text
Keywords: Microcystis aeruginosa; logistic equation; max algal population; hydrodynamic; mass transfer Microcystis aeruginosa; logistic equation; max algal population; hydrodynamic; mass transfer
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Zhang, H.; Huang, F.; Li, F.; Gu, Z.; Chen, R.; Zhang, Y. An Improved Logistic Model Illustrating Microcystis aeruginosa Growth Under Different Turbulent Mixing Conditions. Water 2019, 11, 669.

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