The permeation of drug (benzocaine) and swelling agent (ethanol) through th
e polymeric [poly(ethylene-co-vinylacetate) and polyurethane] membranes was
investigated theoretically and experimentally. Based on the Flory-Huggins
and Yasuda theories, the swelling effect on permeant diffusivity was descri
bed by expressing the permeant diffusivity in powers of the activity of the
swelling agent. The experimental results suggest that the leading-order te
rm (first order of activity) is accurate enough to describe the diffusiviti
es of benzocaine and ethanol in the poly(ethylene-co-vinylacetate) and poly
urethane membranes. The linear dependence of permeant diffusivity on swelli
ng-agent activity was further used to analyze the drug diffusion in a membr
ane subject to a swelling gradient. With the knowledge of the dependence of
benzocaine and ethanol diffusivities on ethanol activity the activity prof
ile of ethanol across the membrane can be calculated, and the effective dif
fusivity of benzocaine can then be predicted. Experiments carried out to de
termine the variation in the effective benzocaine diffusivity corresponding
to different swelling gradients agreed well with the calculated results.