Metabolic Control Analysis

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Analysis title
Differential-algebraic-equations-Metabolic-Control-Analysis-icon.png 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 J calculating by the formulas

Differential-algebraic-equations-Metabolic-Control-Analysis-mca.png

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

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