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From elementary flux modes to elementary flux vectors: Metabolic pathway analysis with arbitrary linear flux constraints

Fig 4

A bounded flux polyhedron in the example network.

The two additional inhomogeneous constraints (an upper flux bound for reaction R1 and a lower flux bound for reaction R2) give rise to two hyperplanes r1 = 2 and r2 = −1 (green and yellow). These hyperplanes cut out the bounded flux polyhedron (dark grey) from the unbounded flux cone of Fig 3 (light grey). The polyhedron has five elementary flux vectors (full/dashed blue arrows and the zero vector), four of which correspond to vertices (full blue arrows and zero). The vertices and elementary flux vectors of the polyhedron are also depicted as flux distributions.

Fig 4

doi: https://doi.org/10.1371/journal.pcbi.1005409.g004