A mathematical model of the photosynthetic carbon metabolism has multiple steady states under the same parameter conditions

doi:10.1007/s10255-016-0563-z

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	A mathematical model of the photosynthetic carbon metabolism has multiple steady states under the same parameter conditions
	Zhou, Jin-ling 1; Zheng, Zuo-huan2 ; Zhu, Xin-guang 3,4
	2016-07-01
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	32 期号:3 页码:591-604
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 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.
关键词	photosynthesis the efficiency of photosynthesis multiple steady states stability critical point
DOI	10.1007/s10255-016-0563-z
语种	英语
资助项目	National Natural Science Foundation of China[11071238] ; Key Lab of Random Complex Structures and Data Science, CAS[2008DP173182] ; National Center for Mathematics and interdisciplinary Sciences, CAS[Y029184K51]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000382008800004
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23341
专题	应用数学研究所
通讯作者	Zhou, Jin-ling
作者单位	1.Zhejiang Int Studies Univ, Inst Sci & Technol, Hangzhou 310012, Zhejiang, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 3.Chinese Acad Sci, CAS MPG Partner Inst Computat Biol, Shanghai 200031, Peoples R China 4.Chinese Acad Sci, Key Lab Computat Biol, Shanghai Inst Biol Sci, Shanghai 200031, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Jin-ling,Zheng, Zuo-huan,Zhu, Xin-guang. A mathematical model of the photosynthetic carbon metabolism has multiple steady states under the same parameter conditions[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2016,32(3):591-604.
APA	Zhou, Jin-ling,Zheng, Zuo-huan,&Zhu, Xin-guang.(2016).A mathematical model of the photosynthetic carbon metabolism has multiple steady states under the same parameter conditions.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,32(3),591-604.
MLA	Zhou, Jin-ling,et al."A mathematical model of the photosynthetic carbon metabolism has multiple steady states under the same parameter conditions".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 32.3(2016):591-604.