Figure 2.

Uncertainty in cell length due to fluctuations in protein concentration as a function of the gradient length scale. (Dotted line) ($\Delta L_{\mathrm{conc}}^u$)² given by Eq. 9. (Solid line) ($\Delta L_{\mathrm{conc}}^n$)² given by Eq. 10. (Dashed line) ($\Delta L_{\mathrm{conc}}^c$)² given by Eq. 13. The gradient model allows for higher precision than the uniform system, and shows an optimum as a function of λ. (Inset) Length uncertainty after time-averaging over τ = 300 s. Parameter values are as described in Model (see text).