# Metabolic Control Analysis

- Analysis title
- Metabolic Control Analysis
- Provider
- Institute of Systems Biology
- Class
`MetabolicControlAnalysis`

- Plugin
- biouml.plugins.modelreduction (Model reduction plug-in)

#### 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*calculating by the formulas

^{J}Here *v* is a vector of reaction rates, *S* is a vector of species concentrations, *N = L × N _{R}* is the stiochiometric matrix decomposition generated by the mass conservation analysis, and

*Id*is

*r*-by-

*r*identity matrix

^{1}. We also scaled all elements

*E*,

_{i,j}*C*and

^{S}_{i,j}*C*of these matrices with the coefficients

^{J}_{i,j}*S*/

_{j}*v*,

_{i}*v*/

_{j}*S*and

_{i}*v*/

_{j}*v*respectively.

_{i}#### References

- C Reder, "Metabolic control theory: a structural approach". J. Theor. Biol., 135:175-201, 1988.