Abstract
This paper analyzes a mathematical model of the photosynthetic carbon metabolism, which incorporates not only the Calvin-Benson cycle, but also another two important metabolic pathways: starch synthesis and photorespiratory pathway. Theoretically, the paper shows the existence of steady states, stability and instability of the steady states, the effects of CO 2 concentration on steady states. Especially, a critical point is found, the system has only one steady state with CO 2 concentration in the left neighborhood of the critical point, but has two with CO 2 concentration in the right neighborhood. In addition, the paper also explores the influence of CO 2 concentration on the efficiency of photosynthesis. These theoretical results not only provide insight to the kinetic behaviors of the photosynthetic carbon metabolism, but also can be used to help improving the efficiency of photosynthesis in plants.
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Supported by the National Natural Science Foundation of China (No. 11071238) and the Key Lab of Random Complex Structures and Data Science, CAS (No.2008DP173182) and the National Center for Mathematics and interdisciplinary Sciences, CAS (N0.Y029184K51).
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Zhou, Jl., Zheng, Zh. & Zhu, Xg. A mathematical model of the photosynthetic carbon metabolism has multiple steady states under the same parameter conditions. Acta Math. Appl. Sin. Engl. Ser. 32, 591–604 (2016). https://doi.org/10.1007/s10255-016-0563-z
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DOI: https://doi.org/10.1007/s10255-016-0563-z