Difference between revisions of "Stoichiometric Matrix (analysis)"
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Revision as of 10:51, 7 May 2013
- Analysis title
- File:DAE-models-Stoichiometric-Matrix-icon.png Stoichiometric Matrix
- Provider
- Institute of Systems Biology
- Plugin
- biouml.plugins.modelreduction (Model reduction plug-in)
Description
The stoichiometric matrix N provides the linear relationship of the model between the flux rates of the (enzymatic) reactions and the derivatives of the reactant (enzyme) concentrations.
If a reaction network has n reactions and m participating molecular species then the dynamic mass balance equation can be written as
where v is the flux vector and S is the concentration vector:
Example
Consider the following system of reactions:
This systems comprises four reactions and five different molecular species. The stoichiometry matrix for this system can be written as:
where the rows correspond to S1, S2, S3, S4 and S5, respectively. Note that the process of converting a reaction scheme into a stoichiometry matrix can be a lossy transformation, for example, the stoichiometries in the second reaction simplify when included in the matrix.
