  Inter and intra-cellular signaling are essential for individual cells to
execute various physiological tasks and accurately respond to changes in their
environment. Signaling is carried out via diffusible molecules, the transport
of which is often aided by active processes that provide directional advection.
How diffusion and advection together impact the accuracy of information
transmission during cell signaling remains less studied. To this end, we study
a one-dimensional model of cell signaling and compute the mutual information
(MI) as a measure of information transmission. We find that the efficacy of the
information transmission improves with advection only when the system
parameters result in Peclet number greater than one. Intriguingly, MI exhibits
nontrivial scaling with the Peclet number, characterized by three distinct
regimes. We demonstrate that the observed dependence of MI on the transport
properties of signaling molecules has important consequences on cellular
communication.
