Flux Balance Constraint (analysis)
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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.
- Jeffrey D. Orth, Ines Thiele and Bernhard O. Palsson, "What is flux balance analysis?". Nature Biotechnology 28, 245–248 2010.