(
A) Viruses entering the trachea (e.g. as aerosolized respiratory droplets) bind to the mucosal barrier. The probability of a particle infecting the underlying epithelium depends on the relative rates of virus diffusion (with a characteristic time of ~Δ
2/
Dvirus) and mucociliary clearance (with a characteristic time of ~
L/
U). (
B) Solutions to the first passage problem illustrated in panel (
A) for different virus diffusion coefficients. Each curve plots the solution to
Equations (6) and (7) with a different virus diffusion coefficient, starting from 80 nm
2/s (black curve) and increasing by intervals of 80 nm
2/s (gray or magenta curves). Black and magenta curves correspond to diffusion coefficients measured from
Figure 3B with correlated (magenta) or uncorrelated (black) steps. The inset box shows physiological estimates of other parameters used to solve the first-passage problem.