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Rules, hypergraphs, and probabilities: The three-level analysis of chemical reaction systems and other stochastic stoichiometric population processes

Fig 15

The stationarity condition (62), written in the dual coordinates of Eq (65).

Ellipse is a surface of constant excess dissipation from Eq (66) below. This is the minimum of on the surface 1^Tα = 1 of fixed flux J^ext. and are the eigenvectors of g_∘, normalized here to the 1^Tα = 1 surface. α_i is the coordinate vector of some other integer flow solution f_i, restricted to support on a subgraph of the graph defining g_°.

doi: https://doi.org/10.1371/journal.pcsy.0000022.g015