Title :
Parameter sensitivity analysis for the Calvin cycle by use of an algebraic-equation method
Author :
Yang Meng ; Jin Guo ; Yanlong Zhao
Author_Institution :
Key Lab. of Syst. & Control, Acad. of Math. & Syst. Sci., Beijing, China
Abstract :
This paper takes a simplified model for example to investigate the parameter sensitivity of the Calvin cycle. A parameter sensitivity analysis method is proposed by Taylor expansion and multi-linear regression. The rationality of the method is discussed and the definition of sensitivity vector is introduced to describe the role of each parameter and an algorithm is proposed to study parameter sensitivity of a class of biochemical reactions described by differential equations. Using such method, the sensitivity vector of the steady-state concentration of each metabolite in the Calvin cycle is obtained and the one of overall variables containing the interaction of parameters is also derived.
Keywords :
algebra; chemical engineering; chemical reactions; differential equations; regression analysis; sensitivity analysis; Calvin cycle; Taylor expansion; algebraic-equation method; biochemical reactions; differential equations; multilinear regression; parameter sensitivity analysis; sensitivity vector definition; steady-state metabolite concentration; Electronics packaging; Equations; Mathematical model; Sensitivity analysis; Steady-state; Vectors; Calvin cycle; multi-linear regression; parameter sensitivity vector;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an