Difference between revisions of "Stoichiometric Matrix (analysis)"
(Analysis icon added) |
(Space after icon) |
||
| Line 1: | Line 1: | ||
;Analysis title | ;Analysis title | ||
| − | :[[File:DAE-models-Stoichiometric-Matrix-icon.png]]Stoichiometric Matrix | + | :[[File:DAE-models-Stoichiometric-Matrix-icon.png]] Stoichiometric Matrix |
;Provider | ;Provider | ||
:[[Institute of Systems Biology]] | :[[Institute of Systems Biology]] | ||
Revision as of 17:02, 23 April 2013
- Analysis title
- File:DAE-models-Stoichiometric-Matrix-icon.png Stoichiometric Matrix
- Provider
- Institute of Systems Biology
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.
