Metabolic Control Analysis

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 × N_R is the stiochiometric matrix decomposition generated by the mass conservation analysis, and Id is r-by-r identity matrix¹. We also scaled all elements E_i,j, C^S_i,j and C^J_i,j of these matrices with the coefficients S_j / v_i, v_j / S_i and v_j / v_i respectively.

References

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