Difference between revisions of "Flux Balance Constraint (analysis)"
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Metabolic reactions are represented as a stoichiometric matrix ''S''. The flux through all of the reactions in a network is represented by the vector ''v''. Flux Balance Analysis seeks to maximize or minimize an objective function ''Z = c<sup>T</sup>v'', which can be any linear combination of fluxes, where ''c'' is a vector of weights, indicating how much each reaction contributes to the objective function. FBA can thus be defined as the use of linear programming to solve the equation ''Sv = 0'' given a set of upper and lower bounds on ''v'' and a linear combination of fluxes as an objective function. | Metabolic reactions are represented as a stoichiometric matrix ''S''. The flux through all of the reactions in a network is represented by the vector ''v''. Flux Balance Analysis seeks to maximize or minimize an objective function ''Z = c<sup>T</sup>v'', which can be any linear combination of fluxes, where ''c'' is a vector of weights, indicating how much each reaction contributes to the objective function. FBA can thus be defined as the use of linear programming to solve the equation ''Sv = 0'' given a set of upper and lower bounds on ''v'' and a linear combination of fluxes as an objective function. | ||
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| + | ==== Parameters: ==== | ||
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| + | * '''Diagram path''' – Path to input diagram | ||
| + | * '''Data Table Path''' – Path to FBC data table | ||
| + | * '''Result path''' – Path to resulting element | ||
| + | * '''Type Objective Function''' (expert) – TypeObjectiveFunction | ||
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| + | ==== Example ==== | ||
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| + | FBC syntax example: a simple four reaction pathway. The reactions are ''R1, R2, X1, X2'' with fixed species ''IN, OUT, ATP, NADH'' and variable species ''A, B''. | ||
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| + | Using the reagent identity and stoichiometry it is possible to compactly describe this network in terms of its reaction stoichiometry: | ||
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| + | There are capacity constraints in this example: | ||
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| + | In this example the flux through reaction ''R2'' will be maximized. Solving this we find that maximization of flux through ''R2'' gives an optimal solution ''R2 = 1'' with one possible solution for ''v''. | ||
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# Jeffrey D. Orth, Ines Thiele and Bernhard O. Palsson, "What is flux balance analysis?". Nature Biotechnology 28, 245–248 2010. | # Jeffrey D. Orth, Ines Thiele and Bernhard O. Palsson, "What is flux balance analysis?". Nature Biotechnology 28, 245–248 2010. | ||
| + | # [http://identifiers.org/combine.specifications/sbml.level-3.version-1.fbc.version-1.release-1 SBML Level 3 Package Specification] | ||
[[Category:Analyses]] | [[Category:Analyses]] | ||
[[Category:DAE models (analyses group)]] | [[Category:DAE models (analyses group)]] | ||
[[Category:Autogenerated pages]] | [[Category:Autogenerated pages]] | ||
Revision as of 12:39, 12 April 2013
Flux balance Analysis
Flux balance analysis is a mathematical approach for analyzing the flow of metabolites through a metabolic network.
Metabolic reactions are represented as a stoichiometric matrix S. The flux through all of the reactions in a network is represented by the vector v. Flux Balance Analysis seeks to maximize or minimize an objective function Z = cTv, which can be any linear combination of fluxes, where c is a vector of weights, indicating how much each reaction contributes to the objective function. FBA can thus be defined as the use of linear programming to solve the equation Sv = 0 given a set of upper and lower bounds on v and a linear combination of fluxes as an objective function.
Parameters:
- Diagram path – Path to input diagram
- Data Table Path – Path to FBC data table
- Result path – Path to resulting element
- Type Objective Function (expert) – TypeObjectiveFunction
Example
FBC syntax example: a simple four reaction pathway. The reactions are R1, R2, X1, X2 with fixed species IN, OUT, ATP, NADH and variable species A, B.
Using the reagent identity and stoichiometry it is possible to compactly describe this network in terms of its reaction stoichiometry:
There are capacity constraints in this example:
In this example the flux through reaction R2 will be maximized. Solving this we find that maximization of flux through R2 gives an optimal solution R2 = 1 with one possible solution for v.
- Jeffrey D. Orth, Ines Thiele and Bernhard O. Palsson, "What is flux balance analysis?". Nature Biotechnology 28, 245–248 2010.
- SBML Level 3 Package Specification
