AXISYMMETRIC AND ASYMMETRIC BEHAVIORS OF A RED BLOOD CELL IN CAPILLARIES

Ting Ye, Hua Li

Abstract

The axisymmetric and asymmetric behaviours of a red blood cell (RBC) in capillaries are investigated numerically by developing a two-fluid model, in which the membrane force is considered to describe the RBC deformation. The quantitative validations with the experimental and theoretical results are provided, and good agreements are found in the deformation index and deformed RBC shapes. The present results show that the RBC experiences the axisymmetric motion if the membrane force is balanced between the RBC cusps, otherwise the asymmetric motion occurs. The characteristic parachute shape of deformed RBC is observed in the axisymmetric motion, while the tank-treading motion of RBC membrane is generated in the asymmetric motion. As the capillary diameter increases, the decrease in RBC length is accompanied by an increase in RBC width.

References

  1. Evans E., Fung Y., 1972. Improved measurements of the erythrocyte geometry. Microvasc. Res., 4, 335-347.
  2. Jeong J. H., Sugii Y., Minamiyama M., Okamoto K., 2006. Measurement of RBC deformation and velocity in capillaries in vivo. Microvasc. Res., 71, 212-217.
  3. Lie J., Lysaker M., Tai X., 2006. A binary level set model and some applications to Mumford-Shah image segmentation. IEEE Trans. Image Processing, 15, 1171-1181.
  4. Patankar S. V., 1981. A calculation procedure for twodimensional elliptic situations. Numer Heat Transfer, 4, 409-425.
  5. Pozrikdis C., 2003. Modeling and Simulation of Capsules and Biological Cells, Chapman & Hall/CRC.
  6. Pozrikidis C., 2005. Axisymmetric motion of a file of red blood cells through capillaries. Phys. Fluids, 17, 031503.
  7. Secomb T. W., 1987. Flow-dependent rheological properties of blood in capillaries. Microvasc. Res., 34, 46-58.
  8. Secomb T. W., Skalak R., 1982. A two-dimensional model for capillary flow of an asymmetric cell. Microvasc. Res., 24, 194-203.
  9. Shu C., 1997. Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conversation laws. NASA/CR-97-206253, ICASE Report No. 97-65
  10. Sugihara-Seki M., Skalak R., 1988. Numerical study of asymmetric flows of red blood cells in capillaries. Microvasc. Res., 36, 64-74.
  11. Tomaiuolo G., Simeone M., Martinelli V., Rotoli B., Guido S., 2009. Red blood cell deformation in microconfined flow. Soft Matter, 5, 3736-3740.
  12. Tsukada K., Sekizuka E., Oshio C., Minamitani H., 2001. Direct measurement of erythrocyte deformability in diabetes mellitus with a transparent microchannel capillary model and high-speed video camera system. Microvasc. Res., 61, 231-239.
  13. Van-Doormaal J. P., Raithby G. D., 1984. Enhancement of SIMPLE Method for Predicting Incompressible Fluid Flow. Numer Heat Transfer, 7, 147-163.
Download


Paper Citation


in Harvard Style

Ye T. and Li H. (2011). AXISYMMETRIC AND ASYMMETRIC BEHAVIORS OF A RED BLOOD CELL IN CAPILLARIES . In Proceedings of the International Conference on Biomedical Electronics and Devices - Volume 1: BIODEVICES, (BIOSTEC 2011) ISBN 978-989-8425-37-9, pages 97-102. DOI: 10.5220/0003105700970102


in Bibtex Style

@conference{biodevices11,
author={Ting Ye and Hua Li},
title={AXISYMMETRIC AND ASYMMETRIC BEHAVIORS OF A RED BLOOD CELL IN CAPILLARIES},
booktitle={Proceedings of the International Conference on Biomedical Electronics and Devices - Volume 1: BIODEVICES, (BIOSTEC 2011)},
year={2011},
pages={97-102},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003105700970102},
isbn={978-989-8425-37-9},
}


in EndNote Style

TY - CONF
JO - Proceedings of the International Conference on Biomedical Electronics and Devices - Volume 1: BIODEVICES, (BIOSTEC 2011)
TI - AXISYMMETRIC AND ASYMMETRIC BEHAVIORS OF A RED BLOOD CELL IN CAPILLARIES
SN - 978-989-8425-37-9
AU - Ye T.
AU - Li H.
PY - 2011
SP - 97
EP - 102
DO - 10.5220/0003105700970102