A Mathematical Model of the Photosynthetic Carbon Metabolism Has Multiple Steady States Under the Same Parameter Conditions
A Mathematical Model of the Photosynthetic Carbon Metabolism Has Multiple Steady States Under the Same Parameter Conditions作者机构:Institute of Science and Technology Zhejiang International Studies University. Hangzhou 310012 China Institute of Applied Mathematics Academy of Mathematics and Systems Sciences Chinese Academy of Sciences. Beijing 100080 China CAS-MPG Partner Institute for Computational Biology and Key Laboratory for Computational Biology Shanghai Institutes for Biological Sciences Chinese Academy of Sciences Shanghai 200031 China
出 版 物:《Acta Mathematicae Applicatae Sinica》 (应用数学学报(英文版))
年 卷 期:2016年第32卷第3期
页 面:591-604页
核心收录:
学科分类:09[农学] 0903[农学-农业资源与环境] 090302[农学-植物营养学]
基 金:Supported by the National Natural Science Foundation of China(No.11071238) the Key Lab of Random Complex Structures and Data Science,CAS(No.2008DP173182) the National Center for Mathematics and interdisciplinary Sciences,CAS(N0.Y029184K51)
主 题:photosynthesis the efficiency of photosynthesis multiple steady states stability critical point
摘 要: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 CO2 concentration on steady states. Especially, a critical point is found, the system has only one steady state with C02 concentration in the left neighborhood of the critical point, but has two with C02 concentration in the right neighborhood. In addition, the paper also explores the influence of C02 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.