Flow of red blood cells in narrow capillaries

role of membrane tension.

Timothy W Secomb, J. F. Gross

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

A theoretical model is developed to describe blood flow in narrow capillaries, with inside diameters 3 microns to 6 microns. Each red blood cell is assumed to have axisymmetric geometry, and fixed surface area and volume. Cell velocities in the range 1 mm s-1 or higher are assumed, and the stress in the cell membrane is approximated by an isotropic tension. This tension is assumed to fall to zero at the concave trailing end of the cell, except in vessels whose diameter is near the minimum for passage of the cell. In the latter case, a separate analysis is used, in which the cell is effectively rigid and fully distended at each end. Lubrication theory is used to describe the plasma flow in the narrow gap between the cell and the vessel wall. Good agreement is obtained between predicted values of the tube hematocrit and apparent viscosity and published experimental values for these parameters.

Original languageEnglish (US)
Pages (from-to)229-240
Number of pages12
JournalInternational journal of microcirculation, clinical and experimental / sponsored by the European Society for Microcirculation
Volume2
Issue number3
StatePublished - 1983
Externally publishedYes

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Erythrocytes
Membranes
Lubrication
Hematocrit
Viscosity
Cell Wall
Theoretical Models
Cell Membrane

ASJC Scopus subject areas

  • Medicine(all)

Cite this

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title = "Flow of red blood cells in narrow capillaries: role of membrane tension.",
abstract = "A theoretical model is developed to describe blood flow in narrow capillaries, with inside diameters 3 microns to 6 microns. Each red blood cell is assumed to have axisymmetric geometry, and fixed surface area and volume. Cell velocities in the range 1 mm s-1 or higher are assumed, and the stress in the cell membrane is approximated by an isotropic tension. This tension is assumed to fall to zero at the concave trailing end of the cell, except in vessels whose diameter is near the minimum for passage of the cell. In the latter case, a separate analysis is used, in which the cell is effectively rigid and fully distended at each end. Lubrication theory is used to describe the plasma flow in the narrow gap between the cell and the vessel wall. Good agreement is obtained between predicted values of the tube hematocrit and apparent viscosity and published experimental values for these parameters.",
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AB - A theoretical model is developed to describe blood flow in narrow capillaries, with inside diameters 3 microns to 6 microns. Each red blood cell is assumed to have axisymmetric geometry, and fixed surface area and volume. Cell velocities in the range 1 mm s-1 or higher are assumed, and the stress in the cell membrane is approximated by an isotropic tension. This tension is assumed to fall to zero at the concave trailing end of the cell, except in vessels whose diameter is near the minimum for passage of the cell. In the latter case, a separate analysis is used, in which the cell is effectively rigid and fully distended at each end. Lubrication theory is used to describe the plasma flow in the narrow gap between the cell and the vessel wall. Good agreement is obtained between predicted values of the tube hematocrit and apparent viscosity and published experimental values for these parameters.

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