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. 2006 Mar 31;2(3):e30. doi: 10.1371/journal.pcbi.0020030

Figure 6. Synchronization Regions (Arnold Tongues) for the Deterministic Models.

Figure 6

Only the 1:1 (red) and 1:2 (blue) stable resonance regions are shown. ω0 is the limit cycle frequency (the undriven system is in the oscillatory regime at Δ = 11 for Design I and Δ = 22 for Design II, respectively), and ω denotes the signal frequency. The (scaled) signal amplitude δRS affects the repressor degradation (see Supporting Information). Positive values (top panels) increase degradation and decrease the value of Δ while negative values (bottom panels) decrease degradation and increase the value of Δ. Solid lines: critical values of signal amplitude for effectively driving the system towards the rest state.