A model for red blood cell motion in glycocalyx-lined capillaries

The American Journal of Physiology
T W SecombA R Pries

Abstract

The interior surfaces of capillaries are lined with a layer (glycocalyx) of macromolecules bound or absorbed to the endothelium. Here, a theoretical model is used to analyze the effects of the glycocalyx on hematocrit and resistance to blood flow in capillaries. The glycocalyx is represented as a porous layer that resists penetration by red blood cells. Axisymmetric red blood cell shapes are assumed, and effects of cell membrane shear elasticity are included. Lubrication theory is used to compute the flow of plasma around the cell and within the glycocalyx. The effects of the glycocalyx on tube hematocrit (Fahraeus effect) and on flow resistance are predicted as functions of the width and hydraulic resistivity of the layer. A layer of width 1 micron and resistivity 10(8) dyn.s/cm4 leads to a relative apparent viscosity of approximately 10 in a 6-micron capillary at discharge hematocrit 45% and flow velocity of approximately 1 mm/s. This is consistent with experimental observations of increased flow resistance in microvessels in vivo, relative to glass tubes with the same diameters.

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Citations

Jul 17, 2001·American Journal of Physiology. Heart and Circulatory Physiology·T W SecombA R Pries
Nov 10, 2001·Annual Review of Biomedical Engineering·G W Schmid-Schönbein
Dec 3, 2008·Journal of Biomechanical Engineering·Takashi KandoriAtsushi Shirai
Mar 31, 2010·Annals of Biomedical Engineering·Wenjuan Xiong, Junfeng Zhang
May 21, 2016·American Journal of Physiology. Heart and Circulatory Physiology·P Mason McClatcheyJane E B Reusch
Dec 16, 2017·PLoS Computational Biology·Shyr-Shea ChangMarcus Roper
Sep 3, 2019·Frontiers in Neurology·Şefik Evren Erdener, Turgay Dalkara
May 14, 2003·Annual Review of Fluid Mechanics·Roger D Kamm
Mar 22, 2007·Annual Review of Biomedical Engineering·Sheldon WeinbaumEdward R Damiano
Mar 19, 2011·Science China. Life Sciences·ZhiGuo Zhang, XiWen Zhang
Mar 25, 2017·Oxidative Medicine and Cellular Longevity·Julieta A Díaz-Juárez, Rolando Hernández-Muñoz
Jul 26, 2005·American Journal of Physiology. Heart and Circulatory Physiology·A R Pries, T W Secomb
Jul 4, 2008·Proceedings of the Institution of Mechanical Engineers. Part H, Journal of Engineering in Medicine·J Lee, N Smith
Dec 30, 2009·Medical & Biological Engineering & Computing·Yael Ruschkewitz, Amit Gefen
Jan 13, 2018·Scientific Reports·Aleksei Kabedev, Vladimir Lobaskin
May 26, 2018·Physical Review Letters·Heather S DaviesLionel Bureau
May 1, 2007·American Journal of Physiology. Heart and Circulatory Physiology·Yu YaoC Forbes Dewey
Feb 24, 2009·Bulletin of Mathematical Biology·Daniel A Beard, Fan Wu
Sep 9, 2015·Proceedings. Mathematical, Physical, and Engineering Sciences·P P SumetsR J Clarke
Feb 9, 2017·Bulletin of Mathematical Biology·Nathaniel J KarstRussell T Carr
Dec 20, 2013·Journal of Fluid Mechanics·Mingge DengGeorge Em Karniadakis
Jun 17, 2020·Microcirculation : the Official Journal of the Microcirculatory Society, Inc·Casper HempelThomas Lars Andresen
May 2, 2021·Physiological Reports·Daniel M HiraiDavid C Poole

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