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

Author:

Wang D. M.1,Tarbell J. M.1

Affiliation:

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

Abstract

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.

Publisher

ASME International

Subject

Physiology (medical),Biomedical Engineering

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