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. 2019 Jan 15;179(3):894–906. doi: 10.1104/pp.18.01273

Figure 1.

Figure 1.

Constraint-based modeling of metabolic networks. A, A metabolic network is a collection of biochemical reactions exchanging metabolites with the environment and interconverting them into the building blocks of biomass and energy. The network includes five reactions and four metabolites, A to D. B, Stoichiometric matrix of the metabolic network shown in A. Highlighted is reaction 2, converting one molecule of the substrate B into one molecule of the product C. C, Feasible solutions (gray) are compatible with the steady-state constraints, whereby there is no change in the concentration of metabolite over time (i.e. Inline graphic) and flux capacity bounds (i.e. Inline graphic). The optimum for the objective function, Inline graphic, in orange is associated with a unique optimum flux distribution (v*), while Inline graphic and Inline graphic are two optimal flux distributions for the objective function in blue. Note that the optimal objective value at Inline graphic and Inline graphic are the same. D, Addition of reactions Inline graphic and Inline graphic leads to the introduction of metabolite E. E, Removal of reaction Inline graphic leads to the removal of metabolite D. F, Context-specific metabolic networks are obtained by considering constraints from different profiling technologies applicable to single cell types, tissues, organs, and entire organisms.