Fig 4. Temporal sensing is favored over spatial sensing when diffusion rate of activator is higher than that of the inactivator.

(a,c) Fraction of parameters that choose temporal sensing over spatial sensing for different values of $D_B^{{}^{\prime }}$ and $D_A^{{}^{\prime }}$ at β = 0.125 for the incoherent feedforward (a) and negative integral feedback circuits (c). (b,d) Dynamics of the average level of protein C (red), level of protein C at the front (green) and back (blue) for different values of $D_A^{{}^{\prime }}$ and $D_B^{{}^{\prime }}$ for the incoherent feedforward (b) and negative integral feedback circuits (d). O_T and O_S are the output from temporal and spatial sensing respectively.