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. 2012 Mar 13;7(3):e32779. doi: 10.1371/journal.pone.0032779

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Nené et al.

This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.

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(A) Typical time series of and for two input signals that grow at different speeds. (B) Initial and final distribution functions of values for 1000 cells. (C) Dependence of the fraction of cells that end up in the high branch, on the speed of the transition (measured by ) for different values of the maximum asymmetry (see Fig. 1C). For all curves in (A), (B) and (C) with exception of plot (ii), (iii) and (iv), the underlying equations are Eqs. (1) to (4) with . Also shown in (C) for are the ratios for an extended version of the system of Eqs. (1) to (4) with noisy dynamics (dashed dark blue line, no symbols (iv)) and without noise (solid light blue line, no symbols (iii)) (see also Eqs. (6) to (9) in Methods). We also tested the effects of fluctuations in phosphorylation reactions, i.e. (see (C), dashed light blue line, no symbols (ii)) for the extended system of equations (Eqs. (6) to (9)) with noisy dynamics. Parameters for (A), (B) and (C) (i) are those of Fig. 1 and for all curves (see also Table 1 and Methods). Parameters for (C) (ii), (iii) and (iv) are and (see also Eqs. (6) to (9)). For all curves and where fluctuations are considered .

Inline graphic — (A) Typical time series of and for two input signals that grow at different speeds. (B) Initial and final distribution functions of values for 1000 cells. (C) Dependence of the fraction of cells that end up in the high branch, on the speed of the transition (measured by ) for different values of the maximum asymmetry (see Fig. 1C). For all curves in (A), (B) and (C) with exception of plot (ii), (iii) and (iv), the underlying equations are Eqs. (1) to (4) with . Also shown in (C) for are the ratios for an extended version of the system of Eqs. (1) to (4) with noisy dynamics (dashed dark blue line, no symbols (iv)) and without noise (solid light blue line, no symbols (iii)) (see also Eqs. (6) to (9) in Methods). We also tested the effects of fluctuations in phosphorylation reactions, i.e. (see (C), dashed light blue line, no symbols (ii)) for the extended system of equations (Eqs. (6) to (9)) with noisy dynamics. Parameters for (A), (B) and (C) (i) are those of Fig. 1 and for all curves (see also Table 1 and Methods). Parameters for (C) (ii), (iii) and (iv) are and (see also Eqs. (6) to (9)). For all curves and where fluctuations are considered .