Summation theorems for flux and concentration control coefficients of dynamic systems.
Metabolic control analysis (MCA) was developed to quantify how system variables are affected by parameter variations in a system. In addition, MCA can express the global properties of a system in terms of the individual catalytic steps, using connectivity and summation theorems to link the control coefficients to the elasticity coefficients. MCA was originally developed for steady-state analysis and not all summation theorems have been derived for dynamic systems. A method to determine time-dependent flux and concentration control coefficients for dynamic systems by expressing the time domain as a function of percentage progression through any arbitrary fixed interval of time is reported. Time-dependent flux and concentration control coefficients of dynamic systems, provided that they are evaluated in this novel way, obey the same summation theorems as steady-state flux and concentration control coefficients, respectively.
Conradie
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Department of Biochemistry, University of Stellenbosch, Private Bag X1, Matieland 7602, South Africa.
Westerhoff
H V
HV
Rohwer
J M
JM
Hofmeyr
J H S
JH
Snoep
J L
JL
D000465:Algorithms; D001683:Biological Clocks / Q000502:physiology*; D002468:Cell Physiological Phenomena; D003198:Computer Simulation; D005246:Feedback / Q000502:physiology; D007700:Kinetics; D008954:Models, Biological; D020543:Proteome / Q000378:metabolism*; D015398:Signal Transduction / Q000502:physiology*
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