K. Keyhani et al., A NUMERICAL-MODEL OF NASAL ODORANT TRANSPORT FOR THE ANALYSIS OF HUMAN OLFACTION, Journal of theoretical biology, 186(3), 1997, pp. 279-301
The transport and uptake of inspired odorant molecules in the human na
sal cavity were determined using an anatomically correct three-dimensi
onal finite element model. The steady-state equations of motion and co
ntinuity were first solved to determine laminar flow patterns of odoro
us air at quiet breathing flow rates. The air stream entering the vent
ral tip of the naris traveled to the olfactory slit, and then passed t
hrough the slit in nearly a straight path without forming separated re
circulating zones. The fraction of volumetric flow passing through the
olfactory airway was about 10%, and remained nearly constant with var
iations in flow rate. The three-dimensional inspiratory velocity field
was used in the solution of the uncoupled steady convective-diffusion
equation to determine the concentration field in the airways and odor
ant mass flux at the nasal walls. The mass-transfer boundary condition
used at the nasal cavity wall included the effects of solubility and
diffusivity of odorants in the mucosal lining, and the thickness of th
e mucus layer. The total olfactory flux of odorants, that is highly co
rrelated with perceived odor intensity, was determined as a function o
f all transport parameters in our model. Increase in nasal flow rate a
t a constant inlet concentration resulted in an increase in total olfa
ctory uptake for all odorants. However, with increase in flow rate, th
e fractional uptake, i.e., total olfactory flux normalized by convecti
ve flux at the inlet, decreased for poorly soluble odorants, while it
increased for highly soluble odorants. The pattern of flux (or imposed
patterning) across the olfactory mucosa, that carries information con
cerning odor identity, was also determined as a function of transport
parameters. There was an overall decrease in odorant flux as the locat
ion on the olfactory surface was varied from the anterior towards the
posterior and from the inferior towards the superior ends. The flux pa
ttern became more uniform, i.e., the steepness of the flux gradients a
cross the olfactory surface decreased, as the mucus solubility of the
odorants decreased. Different odorants generated discernibly different
flux patterns across the olfactory mucosa that may contribute to the
encoding of odor quality. Variation of total olfactory flux with time
after cessation of airflow was determined by solving the unsteady diff
usion equation in the air-phase. The flux decreased approximately expo
nentially with time. The rate of decay decreased as solubility and dif
fusivity decreased, but was very rapid over a wide range of the parame
ters, with time constants of less than 0.5 s for most odorants, implyi
ng a rapid decrease in perceived odor intensity with cessation of nasa
l airflow. (C) 1997 Academic Press Limited.