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Annals of Biomedical Engineering

, Volume 35, Issue 5, pp 755–765 | Cite as

Two-Dimensional Simulation of Red Blood Cell Deformation and Lateral Migration in Microvessels

  • Timothy W. Secomb
  • Beata Styp-Rekowska
  • Axel R. Pries
Article

Abstract

A theoretical method is used to simulate the motion and deformation of mammalian red blood cells (RBCs) in microvessels, based on knowledge of the mechanical characteristics of RBCs. Each RBC is represented as a set of interconnected viscoelastic elements in two dimensions. The motion and deformation of the cell and the motion of the surrounding fluid are computed using a finite-element numerical method. Simulations of RBC motion in simple shear flow of a high-viscosity fluid show “tank-treading’’ motion of the membrane around the cell perimeter, as observed experimentally. With appropriate choice of the parameters representing RBC mechanical properties, the tank-treading frequency and cell elongation agree closely with observations over a range of shear rates. In simulations of RBC motion in capillary-sized channels, initially circular cell shapes rapidly approach shapes typical of those seen experimentally in capillaries, convex in front and concave at the rear. An isolated RBC entering an 8-μm capillary close to the wall is predicted to migrate in the lateral direction as it traverses the capillary, achieving a position near the center-line after traveling a distance of about 60 μm. Cell trajectories agree closely with those observed in microvessels of the rat mesentery.

Keywords

Erythrocyte mechanics Capillary flow Shear flow Tank-treading 

Notes

Acknowledgments

Supported by NIH Grant HL034555.

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Copyright information

© Biomedical Engineering Society 2007

Authors and Affiliations

  • Timothy W. Secomb
    • 1
  • Beata Styp-Rekowska
    • 2
  • Axel R. Pries
    • 2
    • 3
  1. 1.Department of PhysiologyUniversity of ArizonaTucsonUSA
  2. 2.Department of PhysiologyCharité – Universitätsmedizin Berlin, Campus Benjamin FranklinBerlinGermany
  3. 3.Deutsches Herzzentrum BerlinBerlinGermany

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