Mathematical Solution of the Flow Field over  Glycocalyx Inside Vascular System

Nurullah Arslan

doi:10.3390/mca12030173

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Article

1 December 2007

Mathematical Solution of the Flow Field over Glycocalyx Inside Vascular System

Fatih University Graduate Institute of Sciences and Engineering & Department of Genetics and Bioengineering 34500 Büyükçekmece, Istanbul, Turkey

Math. Comput. Appl.2007, 12(3), 173-179;https://doi.org/10.3390/mca12030173

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Abstract

Mathematical analysis of the the flow field over the glycocalyx located on the endothelial cells (EC) inside cardiovascular system was investigated. Two flow regions were considered. A core flow region which is located in the lumen of the vessel. The flow in this region is similar to Poiseuille flow seen inside the straight pipes. Flow region through the glycocalyx is located near the lumen wall. The flow in this region is considered as a flow through the porous media. Solutions are found in both regions and wall shear stresses (WSS) and drag force are calculated.

Keywords:

Mathematical modeling; Glycocalyx; Blood Flow; Wall Shear Stress

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