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. 2014 Apr 29;9(4):e95744. doi: 10.1371/journal.pone.0095744

Figure 7. Cis-inhibition with a primary Notch signaling source creates cell-autonomous bistability.

Figure 7

(A) Stationary ligand level as a function of the cis-interactions strength Inline graphic for Inline graphic and Inline graphic. Solid lines denote linearly stable solutions, dashed lines indicate linearly unstable solutions. Black dots refer to the stationary ligand levels for Inline graphic. (B) Nullclines diagram showing the three possible solutions at Inline graphic. The blue and red lines represent the nullclines. The continuous black line is a separatrix, which divides the parameter space into two basins of attraction of the two stable solutions. Percentages indicate the fraction of cells reaching the corresponding stable state computed from Inline graphic cells with initial random uniform levels of ligand. (C) Phase diagram showing the cell-autonomous bistability region zone where two states are linearly stable. The gray area is the theoretically computed region, and the blue circles correspond to simulation results (Methods). Parameter values: Inline graphic, Inline graphic, Inline graphic and Inline graphic for all panels. These results can also be obtained for Inline graphic in the cis-inhibition regime (data not shown).