Difference between revisions of "Metabolic Control Analysis"
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| + | :[[Institute of Systems Biology]] | ||
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| + | ==== Description ==== | ||
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 <sup>S</sup>'' and ''r''-by-''r'' flux control matrix ''C <sup>J</sup>'' calculating by the formulas | 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 <sup>S</sup>'' and ''r''-by-''r'' flux control matrix ''C <sup>J</sup>'' calculating by the formulas | ||
Revision as of 15:41, 18 April 2013
- Analysis title
- Metabolic Control Analysis
- Provider
- Institute of Systems Biology
Description
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.
References
- C Reder, "Metabolic control theory: a structural approach". J. Theor. Biol., 135:175-201, 1988.
