Figure 3
Multi-dimensional dynamical analysis of the 3-layer MAPK cascade with negative feedback.
(a) Schematic diagram (b) Timecourse of sustained oscillations (c–e) Multi-dimensional bifurcation analysis of the cascade when (de)phosphorylation reactions follow first-order kinetics for: (c) the rate constants (d) the rate constants and species abundances (e) scatter plots of relevant quantities. (f–h) Multi-dimensional bifurcation analysis of the cascade when (de)phosphorylation reactions follow saturating kinetics (MM): (f) oscillations sets (red) superimposed on all generated sets (blue) when only reaction 2 is described by MM kinetics (g) oscillations sets as in (j) but those with n = 3 is highlighted in red. (h) oscillations sets (blue) when all the reaction 2,4,6 are described by MM kinetics with those having low n highlighted in red.
