Ws. Kim et Jm. Tarbell, MACROMOLECULAR TRANSPORT THROUGH THE DEFORMABLE POROUS-MEDIA OF AN ARTERY WALL, Journal of biomechanical engineering, 116(2), 1994, pp. 156-163
To determine the macromolecular transport properties of the tunica med
ia of an artery wall deformed inhomogeneously by the transmural pressu
re, we combine a simple mechano-hydraulic model based on a two paramet
er strain-dependent permeability function, which was developed by Klan
char and Tarbell (1987), with a fiber matrix theory. The combined theo
ry allows us to calculate the spatial distributions of porosity, solut
e partition, fiber radius and macromolecular solute concentration in t
he media and their dependence on the transmural pressure. The predicti
ons from the combined theory are in good agreement with experimental m
easurements of sucrose space, albumin space and albumin concentration
profiles in the media of rabbit aortas at transmural pressures of 70 a
nd 180 mmHg. The predictions indicate that albumin transport through t
he aortic media is dominated by convection rather than diffusion. It i
s further demonstrated that the transport properties of unstressed pla
nar tissue samples, which are often used in in vitro experiments, may
be quite different from those of intact vessels in their natural cylin
drical configuration because of variation in tissue deformation.