Metabolic Control Analysis
- Analysis title
- Metabolic Control Analysis
- Institute of Systems Biology
- biouml.plugins.modelreduction (Model reduction plug-in)
The metabolic control analysis quantifies how variables, such as fluxes and species concentrations, depend on the systems parameters. If the systems consists of r reactions and m species, then the matrices of control coefficients includes m-by-r elasticity matrix E, m-by-r concentration control matrix C S and r-by-r flux control matrix C J calculating by the formulas
Here v is a vector of reaction rates, S is a vector of species concentrations, N = L × NR is the stiochiometric matrix decomposition generated by the mass conservation analysis, and Id is r-by-r identity matrix1. We also scaled all elements Ei,j, CSi,j and CJi,j of these matrices with the coefficients Sj / vi, vj / Si and vj / vi respectively.
- C Reder, "Metabolic control theory: a structural approach". J. Theor. Biol., 135:175-201, 1988.