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1 Energy Phenomena Laboratory, Department of Mechanical Engineering and Science, Tokyo Institute of Technology, Tokyo 152-8552, Japan; and 2 Biomolecular Transport Dynamics Laboratory, Chemical Engineering and Bioengineering Department, The Pennsylvania State University, University Park, Pennsylvania 16802-4400
Interstitial flow through the tunica media of an artery wall in the presence of the internal elastic lamina (IEL), which separates it from the subendothelial intima, has been studied numerically. A two-dimensional analysis applying the Brinkman model as the governing equation for the porous media flow field was performed. In the numerical simulation, the IEL was modeled as an impermeable barrier to water flux, except for the fenestral pores, which were uniformly distributed over the IEL. The tunica media was modeled as a heterogeneous medium composed of a periodic array of cylindrical smooth muscle cells (SMCs) embedded in a fiber matrix simulating the interstitial proteoglycan and collagen fibers. A series of calculations was conducted by varying the physical parameters describing the problem: the area fraction of the fenestral pore (0.001-0.036), the diameter of the fenestral pore (0.4-4.0 µm), and the distance between the IEL and the nearest SMC (0.2-0.8 µm). The results indicate that the value of the average shear stress around the circumference of the SMC in the immediate vicinity of the fenestral pore could be as much as 100 times greater than that around an SMC in the fully developed interstitial flow region away from the IEL. These high shear stresses can affect SMC physiological function.
fenestral pore; numerical analysis
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