Development of a minimized model structure and a feedback control framework for regulating photosynthetic activities
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ORIGINAL ARTICLE
Development of a minimized model structure and a feedback control framework for regulating photosynthetic activities Lijiang Fu1 · Govindjee Govindjee2 · Jinglu Tan3 · Ya Guo1,3 Received: 12 August 2019 / Accepted: 4 November 2019 © Springer Nature B.V. 2019
Abstract In this work, the main activities of the plant photosynthesis process are discussed to yield a minimized mathematical model structure with photosystem II (PSII) chlorophyll a fluorescence (ChlF) as a measurable output. After experimental validation of the model structure, we demonstrate that the states of the photosynthetic process may be observed by using this model and the extended Kalman filter method. We then show a feedback control framework that can be used to alter a given photosynthetic activity. The control framework is demonstrated with an example in which PSII ChlF is used as the feedback signal and light intensity is used as a controllable process input to regulate plastoquinone reduction. Although there are caveats, and further research is needed, the results lay the groundwork for further research on novel methods for optimization and regulation of photosynthetic activities, with a goal for sustainability. Keywords Chlorophyll fluorescence · Photosynthesis · Modeling · Photosynthetic activity control Abbreviations A Antenna molecules CEF Cyclic electron flow ChlF Chlorophyll a fluorescence Cytb6f Cytochrome b6f Ca Atmospheric CO2 concentration Ci Internal CO2 concentration in the cells DPGA Diphosphoglyceraldehyde EKF Extended Kalman filter method Fd Ferredoxin FNR Ferredoxin-NADP reductase FQR Ferredoxin-PQ reductase H+lumen H+ (s) in the thylakoid lumen + Hstroma H+ (s) in the chloroplast stroma KABP 3-Ketoarabinitol-1,5-bisphosphate * Govindjee Govindjee [email protected] * Ya Guo [email protected]; [email protected] 1
Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, China
2
Department of Biochemistry, Department of Plant Biology, and Center of Biophysics & Quantitative Biology, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
3
University of Missouri, Columbia, MO 65211, USA
LEF Linear electron flow NADPH Nicotinamide adenine dinucleotide phosphate, reduced form NPQ Non-photochemical quenching of excited state of Chl OEC Oxygen evolving complex P680 Reaction center Chl of Photosystem II, with one of the absorption maxima at 680 nm PC Plastocyanin PGA 3-Phosphoglycerate PGAld Phosphoglyceraldehyde Pheo Pheophytin—primary electron acceptor in Photosystem II PID Proportion, integral, and derivative control method pmf Proton motive force PQ Plastoquinone PQH2 Plastoquinol PSI Photosystem I PSII Photosystem II QA Primary PSII plastoquinone (electron) acceptor QB Secondary PSII plastoquinone (electron) acceptor RuBP Ribulose 1,5-bisphosphate WWC Water–water cycle XuBP Xylulose-1,5-bisphosphate
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Introduction Plants, algae, and cyanobacteria use solar en
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