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. 2011 Nov 10;7(11):e1002271. doi: 10.1371/journal.pcbi.1002271

Figure 3. Polarity is repressed below a critical total density of signaling molecules.

Figure 3

(A) Illustration shows stability of equilibrium values for cytosolic densities, Inline graphic and Inline graphic, for varying Inline graphic when Inline graphic. Red: stable root; black unstable root. (B) Shown is equilibrium membrane fraction Inline graphic of signaling molecules on the membrane Inline graphic for various cell densities and different values of Inline graphic. Cytosolic buffering occurs when Inline graphic is nearly zero. (C) The probability, Inline graphic, that the: cytosol contains exactly Inline graphic molecules is shown for different total molecule numbers, Inline graphic, scanned between 0 and Inline graphic. Steady state probabilities of molecule numbers in the cytosol are computed from stochastic master equation (Protocol S1). Inset: zoom-in of transition region showing bimodality of probability distribution.