Improving microalgae growth modeling of outdoor cultivation with light history data using machine learning models: A comparative study
Abstract
Accurate prediction of microalgae growth is crucial for understanding the impacts of light dynamics and optimizing production. Although various mathematical models have been proposed, only a few of them have been validated in outdoor cultivation. This study aims to investigate the use of machine learning algorithms in microalgae growth modeling. Outdoor cultivation data of Phaeodactylum tricornutum in flat-panel airlift photobioreactors for 50 days were used to compare the performance of Long Short-Term Memory (LSTM) and Support Vector Regression (SVR) with traditional models, namely Monod and Haldane. The results indicate that the machine learning models outperform the traditional models due to their ability to utilize light history as input. Moreover, the LSTM model shows an excellent ability to describe the light acclimation effect. Last, two potential applications of these models are demonstrated: 1) use as a biomass soft sensor and 2) development of an optimal harvest strategy for outdoor cultivation.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Algal digital twin has advanced momentum in optimizing and enhancing algal cultivation for biomass production system design, and developing smart systems for algal cultivation for biomass production.
“ADT has advanced momentum in optimizing and enhancing ACB system design, and developing smart systems for ACB [25,26].”
From Reinvigorating algal cultivation for biomass production with digital twin technology - a smart sustainable infrastructure (2024) · cites this paper as [26]
The LSTM model demonstrates remarkable proficiency in capturing the effects of light acclimation on microalgal growth.
“The LSTM model demonstrates remarkable proficiency in capturing the effects of light acclimation on microalgal growth.”
From Reinvigorating algal cultivation for biomass production with digital twin technology - a smart sustainable infrastructure (2024) · cites this paper as [26]
Cites
1 retracted
RETRACTED: Design and applications of photobioreactors- a review
Sirohi, R., Pandey, A. K., Ranganathan, P., Singh, S., Udayan, A., Awasthi, M. K., Hoang, A. T., Chilakamarry, C. R., Kim, S., & Sim, S. J. (2022) · Bioresource Technology · doi:10.1016/j.biortech.2022.126858 · Cited by 203 · see citing works
RetractedHochreiter, S., & Schmidhuber, J. (1997) · Neural Computation · doi:10.1162/neco.1997.9.8.1735 · Cited by 102,318 · see citing works
Hearst, M. A., Dumais, S. T., Osuna, E., Platt, J., & Scholkopf, B. (1998) · IEEE Intelligent Systems and their Applications · doi:10.1109/5254.708428 · Cited by 7,243 · see citing works
Learning With Kernels: Support Vector Machines, Regularization, Optimization, and Beyond
Williams, C. K. I. (2003) · Journal of the American Statistical Association · doi:10.1198/jasa.2003.s269 · Cited by 4,390 · see citing works
Supervised Sequence Labelling with Recurrent Neural Networks
Graves, A. (2012) · Studies in Computational Intelligence · doi:10.1007/978-3-642-24797-2 · Cited by 3,120 · see citing works
Time-series forecasting with deep learning: a survey
Lim, B. Y., & Zohren, S. (2021) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2020.0209 · Cited by 1,976 · see citing works
Villarraga Ossa, E. F. (2021) · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · Cited by 1,472 · see citing works
LSTM Fully Convolutional Networks for Time Series Classification
Karim, F., Majumdar, S., Darabi, H., & Chen, S. (2017) · IEEE Access · doi:10.1109/access.2017.2779939 · Cited by 1,358 · see citing works
Time Series Prediction Using Support Vector Machines: A Survey
Sapankevych, N. I., & Sankar, R. T. (2009) · IEEE Computational Intelligence Magazine · doi:10.1109/mci.2009.932254 · Cited by 1,140 · see citing works
A review on time series forecasting techniques for building energy consumption
Deb, C., Zhang, F., Yang, J., Lee, S. E., & Shah, K. W. (2017) · Renewable and Sustainable Energy Reviews · doi:10.1016/j.rser.2017.02.085 · Cited by 1,032 · see citing works
Bioremediation of heavy metals using microalgae: Recent advances and mechanisms
Leong, Y. K., & Chang, J.-S. (2020) · Bioresource Technology · doi:10.1016/j.biortech.2020.122886 · Cited by 874 · see citing works
Geider, R., MacIntyre, H. L., & Kana, T. (1997) · Marine Ecology Progress Series · doi:10.3354/meps148187 · Cited by 837 · see citing works
Suganya, T., Varman, M., Masjuki, H. H., & Renganathan, S. (2016) · Renewable and Sustainable Energy Reviews · doi:10.1016/j.rser.2015.11.026 · Cited by 793 · see citing works
Microalgae-Based Wastewater Treatment for Nutrients Recovery: A Review
Li, K., Liu, Q., Fang, F., Luo, R., Lu, Q., Zhou, W., Huo, S., Cheng, P., Liu, J., Addy, M., et al. (2019) · Bioresource Technology · doi:10.1016/j.biortech.2019.121934 · Cited by 737 · see citing works
Current Status of the Algae Production Industry in Europe: An Emerging Sector of the Blue Bioeconomy
Araújo, R., Vázquez Calderón, F., Sánchez López, J., Azevedo, I. C., Bruhn, A., Fluch, S., Garcia Tasende, M., Ghaderiardakani, F., Ilmjärv, T., Laurans, M., et al. (2021) · Frontiers in Marine Science · doi:10.3389/fmars.2020.626389 · Cited by 653 · see citing works
(2012) · Cited by 580 · see citing works
Exploring the potential of microalgae for new biotechnology applications and beyond: a review
Rizwan, M., Mujtaba, G., Memon, S. A., Lee, K., & Rashid, N. (2018) · Renewable and Sustainable Energy Reviews · doi:10.1016/j.rser.2018.04.034 · Cited by 578 · see citing works
Numerical Differentiation of Noisy, Nonsmooth Data
Chartrand, R. (2011) · ISRN Applied Mathematics · doi:10.5402/2011/164564 · Cited by 458 · see citing works
Béchet, Q., Shilton, A., & Guieysse, B. (2013) · Biotechnology Advances · doi:10.1016/j.biotechadv.2013.08.014 · Cited by 430 · see citing works
Fabris, M., Abbriano, R. M., Pernice, M., Sutherland, D. L., Commault, A. S., Hall, C. C., Labeeuw, L., McCauley, J. I., Kuzhiuparambil, U., Ray, P., et al. (2020) · Frontiers in Plant Science · doi:10.3389/fpls.2020.00279 · Cited by 382 · see citing works
Compute Trends Across Three Eras of Machine Learning
Sevilla, J., Heim, L., Ho, A., Besiroglu, T., Hobbhahn, M., & Villalobos, P. (2022) · 2022 International Joint Conference on Neural Networks (IJCNN) · doi:10.1109/ijcnn55064.2022.9891914 · Cited by 363 · see citing works
Validation of a simple model accounting for light and temperature effect on microalgal growth
Bernard, O., & Rémond, B. (2012) · Bioresource Technology · doi:10.1016/j.biortech.2012.07.022 · Cited by 349 · see citing works
Bioplastic Production from Microalgae: A Review
Cinar, S. Ö., Chong, Z. K., Küçüker, M. A., Wieczorek, N., Cengiz, U., & Kuchta, K. (2020) · International Journal of Environmental Research and Public Health · doi:10.3390/ijerph17113842 · Cited by 315 · see citing works
Biological CO2 fixation with production of microalgae in wastewater – A review
Razzak, S. A., Ali, S. A. M., Hossain, M. M., & deLasa, H. (2017) · Renewable and Sustainable Energy Reviews · doi:10.1016/j.rser.2017.02.038 · Cited by 313 · see citing works
Biofuel production from microalgae: challenges and chances
Hoang, A. T., Sirohi, R., Pandey, A., Nižetić, S., Lam, S. S., Chen, W., Luque, R., Thomas, S., Arıcı, M., & Pham, V. V. (2022) · Phytochemistry Reviews · doi:10.1007/s11101-022-09819-y · Cited by 296 · see citing works
Nymark, M., Valle, K. C., Brembu, T., Hancke, K., Winge, P., Andresen, K., Johnsen, G. H., & Bones, A. M. (2009) · PLoS ONE · doi:10.1371/journal.pone.0007743 · Cited by 281 · see citing works
Acién, F. G., García-Camacho, F., Pérez, J. A. S., Fernández-Sevilla, J. M., & Grima, E. M. (1997) · Biotechnology and Bioengineering · doi:10.1002/(sici)1097-0290(19970905)55:5 · Cited by 248 · see citing works
Model development for the growth of microalgae: A review
Darvehei, P., Bahri, P. A., & Moheimani, N. R. (2018) · Renewable and Sustainable Energy Reviews · doi:10.1016/j.rser.2018.08.027 · Cited by 199 · see citing works
Fridrich, J. (2009) · Cambridge University Press eBooks · doi:10.1017/cbo9781139192903.019 · Cited by 159 · see citing works
Edmundson, S. J., & Huesemann, M. H. (2015) · Algal Research · doi:10.1016/j.algal.2015.10.012 · Cited by 149 · see citing works
Microalgae with Artificial Intelligence: A Digitalized Perspective on Genetics, Systems and Products
Teng, S. Y., Yew, G. Y., Sukačová, K., Show, P. L., Máša, V., & Chang, J.-S. (2020) · Biotechnology Advances · doi:10.1016/j.biotechadv.2020.107631 · Cited by 145 · see citing works
Hybrid physics‐based and data‐driven modeling for bioprocess online simulation and optimization
Zhang, D., del Rio‐Chanona, E. A., Petsagkourakis, P., & Wagner, J. L. (2019) · Biotechnology and Bioengineering · doi:10.1002/bit.27120 · Cited by 141 · see citing works
A review on photobioreactor design and modelling for microalgae production
Legrand, J., Artu, A., & Pruvost, J. (2021) · Reaction Chemistry & Engineering · doi:10.1039/d0re00450b · Cited by 125 · see citing works
Ağbulut, Ü., Sirohi, R., Lichtfouse, E. A., Chen, W., Len, C., Show, P. L., Tuấn, L. A., Nguyễn, X. P., & Hoang, A. T. (2023) · Bioresource Technology · doi:10.1016/j.biortech.2023.128860 · Cited by 122 · see citing works
Münkel, R., Schmid‐Staiger, U., Werner, A., & Hirth, T. (2013) · Biotechnology and Bioengineering · doi:10.1002/bit.24948 · Cited by 92 · see citing works
Self-citationSupriyanto, Noguchi, R., Ahamed, T., Rani, D. S., Sakurai, K., Nasution, M. A., Wibawa, D. S., Demura, M., & Watanabe, M. M. (2019) · Biosystems Engineering · doi:10.1016/j.biosystemseng.2018.10.002 · Cited by 88 · see citing works
Photosynthesis–Irradiance Response at Physiological Level: a Mechanistic Model
Han, B. (2001) · Journal of Theoretical Biology · doi:10.1006/jtbi.2001.2413 · Cited by 77 · see citing works
Models of microalgal cultivation for added-value products - A review
Bekiroğullari, M., Figueroa-Torres, G. M., Pittman, J. K., & Theodoropoulos, C. (2020) · Biotechnology Advances · doi:10.1016/j.biotechadv.2020.107609 · Cited by 74 · see citing works
Studies on enhanced post-illumination respiration in microalgae
Beardall, J., Burger‐Wiersma, T., Rijkeboer, M., Sukenik, A., Lemoalle, J., Dubinsky, Z., & Fontvielle, D. (1994) · Journal of Plankton Research · doi:10.1093/plankt/16.10.1401 · Cited by 72 · see citing works
Dynamic coupling of photoacclimation and photoinhibition in a model of microalgae growth
Nikolaou, A., Hartmann, P., Sciandra, A., Chachuat, B., & Olivier Bernard, A. (2015) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2015.11.004 · Cited by 69 · see citing works
Photoinhibition in Mediterranean macroalgae by solar radiation measured on site by PAM fluorescence
Häder, D., Lebert, M., Figueroa, F. L., et al. (1998) · Aquatic Botany · doi:10.1016/s0304-3770(98)00068-0 · Cited by 47 · see citing works
Multivariate modeling for microalgae growth in outdoor photobioreactors
Mazzelli, A., Cicci, A., Caprio, F. D., Altimari, P., Toro, L., Iaquaniello, G., & Pagnanelli, F. (2019) · Algal Research · doi:10.1016/j.algal.2019.101663 · Cited by 41 · see citing works
del Rio‐Chanona, E. A., Ahmed, N. R., Wagner, J. L., Lu, Y., Zhang, D., & Jing, K. (2019) · Biotechnology and Bioengineering · doi:10.1002/bit.27131 · Cited by 40 · see citing works
Artificial neural network model for predicting production of Spirulina platensis in outdoor culture
Pappu, J. S. M., Vijayakumar, G. K., & Ramamurthy, V. (2012) · Bioresource Technology · doi:10.1016/j.biortech.2012.12.082 · Cited by 32 · see citing works
Susanna, D., Dhanapal, R., Mahalingam, R., & Ramamurthy, V. (2019) · Biotechnology and Bioengineering · doi:10.1002/bit.27128 · Cited by 27 · see citing works
Yeh, Y., Haasdonk, B., Schmid‐Staiger, U., Stier, M., & Tovar, G. E. M. (2023) · Frontiers in Bioengineering and Biotechnology · doi:10.3389/fbioe.2023.1116735 · Cited by 23 · see citing works
Self-citationBernardi, A., Nikolaou, A., Meneghesso, A., Chachuat, B., Morosinotto, T., & Bezzo, F. (2017) · Journal of Biotechnology · doi:10.1016/j.jbiotec.2017.08.002 · Cited by 11 · see citing works
Mairet, F., & Bayen, T. (2021) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2021.110597 · Cited by 9 · see citing works
Quantitative Modeling of Photoacclimation and Photoinhibition in Marine Phytoplankton
Звалинский, В. И. (2019) · Oceanology · doi:10.1134/s0001437019030214 · Cited by 3 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
A review on machine learning approaches for microalgae cultivation systems
Syed, T., Krujatz, F., Ihadjadene, Y., Mühlstädt, G., Hamedi, H., Mädler, J., & Urbas, L. (2024) · Computers in Biology and Medicine · doi:10.1016/j.compbiomed.2024.108248 · Cited by 92 · see citing works
Self-citationWu, Y., Shan, L., Zhao, W., & Lu, X. (2025) · Marine Drugs · doi:10.3390/md23050184 · Cited by 59 · see citing works
Sheik, A. G., Kumar, A., Ansari, F. A., Raj, V., Peleato, N. M., Patan, A. K., Kumari, S., & Bux, F. (2024) · Algal Research · doi:10.1016/j.algal.2024.103779 · Cited by 37 · see citing works
Soon, C. F., Jamia’an, M., Mohamed Sunar, N., Arifin, S. N. H., Tay, K. G., Heng, C., See, C. H., Mat Nayan, N. H., & Tee, K. S. (2025) · Aquaculture International · doi:10.1007/s10499-025-02104-7 · Cited by 16 · see citing works
- Authors
- Yeh, Y.-C., Syed, T., Brinitzer, G., Frick, K., Schmid-Staiger, U., Haasdonk, B., Tovar, G. E. M., Krujatz, F., Mädler, J., & Urbas, L.
- Affiliations
- University of Stuttgart (DE)
- Institute of Automation (DE)
- Fraunhofer Institute for Interfacial Engineering and Biotechnology (DE)
- Technische Universität Dresden (DE)
- Corresponding author
- Yeh, Yen-Cheng
- ORCID
- Venue
- Bioresource Technology
- Publisher
- Elsevier BV
- Published
- 2023-12
- Volume
- 390
- Pages
- 129882
- ISSN
- 0960-8524 (ISSN-L)
- OpenAlex
- W4387911354
- Cited by
- 56
- References
- 50
- Citations by year
- 2026: 24 · 2025: 22 · 2024: 10
- FWCI
- 2.68
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- Bioresource Technology (publishedVersion)
- PubMed (publishedVersion)
- Fraunhofer-Publica (Fraunhofer-Gesellschaft) (submittedVersion)
- Funders
- Stuttgart Center for Simulation Science, Universität Stuttgart
- Topics
- Physical Sciences › Energy › Renewable Energy, Sustainability and the Environment › Algal biology and biofuel production
- Physical Sciences › Environmental Science › Environmental Chemistry › Aquatic Ecosystems and Phytoplankton Dynamics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Microbial Metabolic Engineering and Bioproduction
- Keywords
- Phaeodactylum tricornutum, open-field cultivation, history of light, light acclimation, airlift photobioreactor, long short-term memory, support vector regression, Monod kinetics, Haldane model
- MeSH terms
- Culture Media, Diatoms, Biomass, Microalgae, Photobioreactors
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review