Mathematical Modeling of Microalgal Growth during Anaerobic Digestion Effluent Bioremediation
The development of kinetic models aims at predicting the behavior of a system or analyzing the underlying mechanisms. This process is essential for understanding microalgal growth and optimizing culture conditions. In the case of microalgal cultivation in wastewater, the analysis becomes even more d...
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MDPI AG
2022-12-01
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| Online Access: | https://www.mdpi.com/2073-4441/14/23/3938 |
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| author | Georgios Manthos Eleni Koutra Savvas Giannis Mastropetros Dimitris Zagklis Michael Kornaros |
| author_facet | Georgios Manthos Eleni Koutra Savvas Giannis Mastropetros Dimitris Zagklis Michael Kornaros |
| author_sort | Georgios Manthos |
| collection | DOAJ |
| description | The development of kinetic models aims at predicting the behavior of a system or analyzing the underlying mechanisms. This process is essential for understanding microalgal growth and optimizing culture conditions. In the case of microalgal cultivation in wastewater, the analysis becomes even more difficult as growth is often inhibited by several factors, such as nutrient limitation and light inadequacy. In this context, a mathematical model was developed to describe the microbial growth of the species <i>Parachlorella kessleri</i> in different reactor setups using either sterile or non-sterile anaerobic digestion effluent as a substrate. Three different mass balances were taken into consideration to describe biomass growth, phosphorus, and nitrogen consumption. Concerning biomass growth, the logistic model was applied to evaluate the inhibition in biomass formation due to lack of illumination. The maximum optical density under which these species could grow was quantified with an <i>OD<sub>max</sub></i> parameter, which was estimated at 4.07 AU/cm for the Erlenmeyer flask and 2.79 AU/cm for cylindrical photobioreactors. Regarding the nitrogen mass balance, two different terms concerning microalgal assimilation and ammonia stripping were implemented into the equation. The proposed model predicted biomass growth with high accuracy in model training (R<sup>2</sup> = 0.90) and validation (R<sup>2</sup> = 0.89). |
| first_indexed | 2024-03-09T17:28:02Z |
| format | Article |
| id | doaj.art-79874b2394504a52be77ec72e1a076af |
| institution | Directory Open Access Journal |
| issn | 2073-4441 |
| language | English |
| last_indexed | 2024-03-09T17:28:02Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
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| series | Water |
| spelling | doaj.art-79874b2394504a52be77ec72e1a076af2023-11-24T12:33:46ZengMDPI AGWater2073-44412022-12-011423393810.3390/w14233938Mathematical Modeling of Microalgal Growth during Anaerobic Digestion Effluent BioremediationGeorgios Manthos0Eleni Koutra1Savvas Giannis Mastropetros2Dimitris Zagklis3Michael Kornaros4Laboratory of Biochemical Engineering & Environmental Technology (LBEET), Department of Chemical Engineering, University of Patras, 26504 Patras, GreeceLaboratory of Biochemical Engineering & Environmental Technology (LBEET), Department of Chemical Engineering, University of Patras, 26504 Patras, GreeceLaboratory of Biochemical Engineering & Environmental Technology (LBEET), Department of Chemical Engineering, University of Patras, 26504 Patras, GreeceLaboratory of Biochemical Engineering & Environmental Technology (LBEET), Department of Chemical Engineering, University of Patras, 26504 Patras, GreeceLaboratory of Biochemical Engineering & Environmental Technology (LBEET), Department of Chemical Engineering, University of Patras, 26504 Patras, GreeceThe development of kinetic models aims at predicting the behavior of a system or analyzing the underlying mechanisms. This process is essential for understanding microalgal growth and optimizing culture conditions. In the case of microalgal cultivation in wastewater, the analysis becomes even more difficult as growth is often inhibited by several factors, such as nutrient limitation and light inadequacy. In this context, a mathematical model was developed to describe the microbial growth of the species <i>Parachlorella kessleri</i> in different reactor setups using either sterile or non-sterile anaerobic digestion effluent as a substrate. Three different mass balances were taken into consideration to describe biomass growth, phosphorus, and nitrogen consumption. Concerning biomass growth, the logistic model was applied to evaluate the inhibition in biomass formation due to lack of illumination. The maximum optical density under which these species could grow was quantified with an <i>OD<sub>max</sub></i> parameter, which was estimated at 4.07 AU/cm for the Erlenmeyer flask and 2.79 AU/cm for cylindrical photobioreactors. Regarding the nitrogen mass balance, two different terms concerning microalgal assimilation and ammonia stripping were implemented into the equation. The proposed model predicted biomass growth with high accuracy in model training (R<sup>2</sup> = 0.90) and validation (R<sup>2</sup> = 0.89).https://www.mdpi.com/2073-4441/14/23/3938microalgaemathematical modelinganaerobic digestion effluentlogistic modelammonia stripping<i>P. kessleri</i> |
| spellingShingle | Georgios Manthos Eleni Koutra Savvas Giannis Mastropetros Dimitris Zagklis Michael Kornaros Mathematical Modeling of Microalgal Growth during Anaerobic Digestion Effluent Bioremediation Water microalgae mathematical modeling anaerobic digestion effluent logistic model ammonia stripping <i>P. kessleri</i> |
| title | Mathematical Modeling of Microalgal Growth during Anaerobic Digestion Effluent Bioremediation |
| title_full | Mathematical Modeling of Microalgal Growth during Anaerobic Digestion Effluent Bioremediation |
| title_fullStr | Mathematical Modeling of Microalgal Growth during Anaerobic Digestion Effluent Bioremediation |
| title_full_unstemmed | Mathematical Modeling of Microalgal Growth during Anaerobic Digestion Effluent Bioremediation |
| title_short | Mathematical Modeling of Microalgal Growth during Anaerobic Digestion Effluent Bioremediation |
| title_sort | mathematical modeling of microalgal growth during anaerobic digestion effluent bioremediation |
| topic | microalgae mathematical modeling anaerobic digestion effluent logistic model ammonia stripping <i>P. kessleri</i> |
| url | https://www.mdpi.com/2073-4441/14/23/3938 |
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