The bci shows that the twelve nodes can be divided in three classes (Fig. ): Nodes for which the bci has a moderate value (bci > 0.2), a low value (bci < 0.05), or is absent (bci = 0). The relative high values for nodes 4 and 5 underscore the importance of the species Tr and Int-I to act as the key intermediates of the network. Surprisingly, the nodes 8, and 9-nodes for species which role in the oscillator is often neglected in the mass-action model, Tr•Pro-I and Ap•Int-I-also appear to share a similar high occurrence with which the species act as an intermediate between network connections. In contrast, species I (bc6=0.05) appears to have a less important role to sustain the network connectivity than anticipated in previous work. Other nodes with low values for bci are 1-3, and 7. The nodes for the reactants (i=1-3) only appear on shortest paths that direct from an inflow (S). The node for Tr•Tg (i=7) only lies on the shortest path corresponding to when Tg converts into Tr, explaining its similarly low betweenness value. Finally, the three nodes, i=10-12, do not lie on any shortest path. bc10 is zero and validates that 10 summarizes species that do not contribute to the overall dynamics. bc11 and bc12 are zero is due to the fact that edges are either directing from 11 (the source) or directing to 12 (the waste). Overall, that similar patterns for ki, cci, and bci were observed for G1 shows that the introduction of the nodes to account for the continuous inflow of reactants and outflow of products does not significantly alter the structural properties of the CRN.