@article{oai:kansai-u.repo.nii.ac.jp:00011116,
 author = {Sugihara-seki, Masako and Akinaga, Takeshi and Itano, Tomoaki},
 journal = {Journal of Fluid Mechanics},
 month = {},
 note = {A mathematical model is presented for steady fluid flow across microvessel walls
through a serial pathway consisting of the endothelial surface glycocalyx and the
intercellular cleft between adjacent endothelial cells, with junction strands and their
discontinuous gaps. The three-dimensional flow through the pathway from the vessel
lumen to the tissue space has been computed numerically based on a Brinkman
equation with appropriate values of the Darcy permeability. The predicted values of
the hydraulic conductivity Lp, defined as the ratio of the flow rate per unit surface
area of the vessel wall to the pressure drop across it, are close to experimental
measurements for rat mesentery microvessels. If the values of the Darcy permeability
for the surface glycocalyx are determined based on the regular arrangements of fibres
with 6 nm radius and 8 nm spacing proposed recently from the detailed structural
measurements, then the present study suggests that the surface glycocalyx could be
much less resistant to flow compared to previous estimates by the one-dimensional
flow analyses, and the intercellular cleft could be a major determinant of the hydraulic
conductivity of the microvessel wall.},
 pages = {229--252},
 title = {Flow across microvessel walls through the endothelial surface glycocalyx and the interendothelial cleft},
 volume = {601},
 year = {2008}
}