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Article

Mathematical Solution of the Flow Field over Glycocalyx Inside Vascular System

by
Nurullah Arslan
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
Published: 1 December 2007
Versions Notes

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 Mathematical modeling; Glycocalyx; Blood Flow; Wall Shear Stress

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MDPI and ACS Style

Arslan, N. Mathematical Solution of the Flow Field over Glycocalyx Inside Vascular System. Math. Comput. Appl. 2007, 12, 173-179. https://doi.org/10.3390/mca12030173

AMA Style

Arslan N. Mathematical Solution of the Flow Field over Glycocalyx Inside Vascular System. Mathematical and Computational Applications. 2007; 12(3):173-179. https://doi.org/10.3390/mca12030173

Chicago/Turabian Style

Arslan, Nurullah. 2007. "Mathematical Solution of the Flow Field over Glycocalyx Inside Vascular System" Mathematical and Computational Applications 12, no. 3: 173-179. https://doi.org/10.3390/mca12030173

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