title: Summation theorems for flux and concentration control coefficients of dynamic systems.
abstract: 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.
authors.affiliation: Department of Biochemistry, University of Stellenbosch, Private Bag X1, Matieland 7602, South Africa.
authors.forename: R
authors.initials: R
authors.lastname: Conradie
authors.forename: H V
authors.initials: HV
authors.lastname: Westerhoff
authors.forename: J M
authors.initials: JM
authors.lastname: Rohwer
authors.forename: J H S
authors.initials: JH
authors.lastname: Hofmeyr
authors.forename: J L
authors.initials: JL
authors.lastname: Snoep
mesh_terms: 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*
chemical_list: D020543:Proteome