Metabolic Control Analysis

From BioUML platform
Revision as of 11:07, 19 April 2013 by BioUML wiki Bot (Talk | contribs)

Jump to: navigation, search
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

DAE-models-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.
Personal tools
Namespaces

Variants
Actions
BioUML platform
Community
Modelling
Analysis & Workflows
Collaborative research
Development
Virtual biology
Wiki
Toolbox