Modeling Interstitial Flow in an Artery Wall Allows Estimation of Wall Shear Stress on Smooth Muscle Cells

[+] Author and Article Information
D. M. Wang, J. M. Tarbell

Physiological Transport Studies Laboratory, Department of Chemical Engineering, The Pennsylvania State University, University Park, PA 16802

J Biomech Eng 117(3), 358-363 (Aug 01, 1995) (6 pages) doi:10.1115/1.2794192 History: Received September 21, 1993; Revised August 31, 1994; Online October 30, 2007


The arterial media is modeled as a periodic array of cylindrical smooth muscle cells residing in a matrix comprised of proteoglycan and collagen fibers. Using Brinkman’s model to describe transmural flow through such a fibrous media, we calculate the effective hydraulic permeability of the media and the wall shear stress on smooth muscle cells. Two interesting results are obtained: first, the wall shear stress on smooth muscle cells is on the order of 1 dyne/cm2 , which is in the range known to affect endothelial cells in vitro; second, the flow resistance due to smooth muscle cells is not negligible compared to the resistance due to the fiber matrix.

Copyright © 1995 by The American Society of Mechanical Engineers
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