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Quorum-Sensing Synchronization of Synthetic Toggle Switches: A Design Based on Monotone Dynamical Systems Theory

Fig 5

Examples of monotone parametric dependencies for a (1:1)-mixed state.

Panels (A) and (B) correspond to dependencies of LacI and TetR levels on parameter δg, respectively. Panels (C) and (D) correspond to dependencies of LacI and TetR levels on parameter δr, respectively. The dependencies for the G-subpopulation are shown only, within which LacI is activated, while TetR is repressed. Green and red solid curves correspond to stable branches of (1:1)-equilibrium solutions, while all blue curves correspond to unstable branches of the solutions. Red filled circles correspond to an LP-bifurcation point. In panel (A), projections of stable and unstable branches coincide and, so, only the stable branch is shown.

Fig 5

doi: https://doi.org/10.1371/journal.pcbi.1004881.g005