Difference between revisions of "Stoichiometric Matrix (analysis)"

From BioUML platform
Jump to: navigation, search
(Automatic synchronization with BioUML)

Revision as of 15:24, 4 April 2013

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

DAE-models-Stoichiometric-Matrix-stoich1.png

where v is the flux vector and S is the concentration vector:

DAE-models-Stoichiometric-Matrix-stoich2.png

Example

Consider the following system of reactions:

DAE-models-Stoichiometric-Matrix-stoich3.png

This systems comprises four reactions and five different molecular species. The stoichiometry matrix for this system can be written as:

DAE-models-Stoichiometric-Matrix-stoich4.png

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.

Personal tools
Namespaces

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