Title
Analysis on steady states of photosynthetic carbon metabolic system
Abstract
In this paper, we propose a reduced molecular network of the photosynthetic carbon metabolism, which includes the nine major metabolites with 48 parameters. The reduced molecular network can represent the key ingredients of photosynthetic carbon metabolism, i.e. the autocatalytic cycle, the utilization of photosynthate, and the effect of photorespiration. Based on the model, we theoretically study steady states or stable equilibria of photosynthetic carbon metabolism, and prove that such a system actually has at most one feasible steady state in the domain of a parameter set defined around nominal values for that parameter set. Specifically, we first equivalently transform the original system into an independent 2-dimensional subsystem which contains just 10 parameters, and then show that steady states of the original system can be determined by the 2-dimensional subsystem uniquely. Finally, we show that when the 10 parameters for the 2-dimensional subsystem all stay in an appropriate domain around the nominal value of each parameter, the reduced model has at most one physiologically feasible steady state no matter how the other 38 parameters in the original model are taken. In addition, we also derive parameter domain to ensure such an asymptotical behavior.
Year
DOI
Venue
2009
10.1109/CDC.2009.5399509
CDC
Keywords
Field
DocType
physiologically feasible steady state,autocatalytic cycle,carbon,reduced molecular network,biochemistry,physiological models,molecular biophysics,photosynthesis,stablity equilibria,asymptotic behavior,independent 2-dimensional subsystem,photosynthate utilization,steady states analysis,photorespiration effects,photosynthetic carbon metabolic system,mathematical model,steady state,electronics packaging,2 dimensional
Photorespiration,Photosynthesis,Biological system,Control theory,Computer science,Molecular biophysics,Steady state,Carbon,Autocatalysis,Real versus nominal value
Conference
ISSN
ISBN
Citations 
0191-2216 E-ISBN : 978-1-4244-3872-3
978-1-4244-3872-3
2
PageRank 
References 
Authors
0.48
0
6
Name
Order
Citations
PageRank
Hong-Bo Lei131.02
Xin Wang220.48
Ruiqi Wang36415.44
Xin-Guang Zhu4232.97
Luonan Chen51485145.71
Ji-Feng Zhang6147086.42