Theoretical modeling of ultrafine particle deposition in human airways
can be employed as a valuable complement to difficult and expensive i
n vitro and in vivo experimental studies. If such modeling can be show
n to be reasonably accurate (compared with laboratory data), versatile
(simulate different conditions), and compact (easy to use), it would
then be warranted to use it for the extrapolation of theoretical resul
ts in risk assessment applications. In this study, a closed-form solut
ion proposed by Martonen et al. (in press), which quantitatively descr
ibes convective particle diffusion in a conduit including wall irregul
arities and entrance effects, has been validated by experimental data
from the literature. Theoretical predictions of particle deposition ef
ficiencies are not only in agreement with the best-fit empirical corre
lation presented by Cohen and Asgharian (1990) over a wide range of di
mensionless diffusion parameters but also march individual experimenta
l measurements with regard to effects of the parameters of particle si
ze, flow rate, and airway dimensions. Indeed, the model presented in t
his work is in much better agreement with actual data than the theory
of Ingham (1975) used by Cohen and Asgharian (1990). For instance, the
mean ratio of experimental-to-theoretical particle diffusion values u
sing our model is 1.1 (i.e., the difference is only about 10%), while
the mean ratio using Ingham's (1975) theory is 2.1 (i.e., the differen
ce can exceed 100%).