Fig. 3

Analysis of removing reactions in pairs from the TI system. a Bifurcation diagrams showing the steady states of the systems where two catalytic reactions, and their corresponded spontaneous reactions, have been removed from the TI network. The arrows above each panel indicate which reactions have been dropped. The stable state (ss) is indicated by a solid line, the unstable steady state (us) is defined by the dash-dotted line, and the maxima and minima of oscillations (amp – for amplitude) are shown by dashed lines. b Wiring diagram of the All Intermediate (AI) network. The reactions that convert PO into OO and PP are both missing, so all molecules end up in this single-phosphorylated form. c Wiring diagram of the Broken Paths (BP) network. The reaction from PO to PP was dropped together with the reaction from OP to OO. d Time course diagram for the BP network in the oscillatory regime (phosphate donor nt = 2.2 AU). e Zoom in the bifurcation diagram of the BP system (panel “p2 d0 bp2 bd0”). See networks topology in Methods for more information about the structure. Table 2 in Methods contain the values of parameters