Figure 3 | Scientific Reports

Figure 3

From: Modeling the Transitions between Collective and Solitary Migration Phenotypes in Cancer Metastasis

Figure 3

The circuit response to the input signals μ1 and μ2.

(a) Two-parameter bifurcation phase diagram; where the two bifurcation parameters are the two input signals μ1 (y-axis) and μ2 (x-axis). Each phase, marked by a distinct color (shown in bottom), corresponds to a different combination of coexisting phenotypes (Phase plane diagrams for each phase are showed in Supplementary Fig. S4). (b) One-parameter bifurcation diagram when both μ1 and μ2 change simultaneously at the same rate, allowing them to merge into one parameter (here it is referred to as μ), as shown by the trajectory I in the two-parameter bifurcation phase diagram (Fig. 3a). (c) One-parameter bifurcation diagram for the circuit driven by varying levels of μ1 for a fixed μ2 = 4,000 molecules, corresponding to the trajectory II in the two-parameter bifurcation phase diagram (Fig. 3a). (d) One-parameter bifurcation diagram for the circuit driven by varying levels of μ2 at a fixed μ1 = 4,000 molecules, corresponding to the trajectory III in the two-parameter bifurcation phase diagram (Fig. 3a).

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