Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2013, Article ID 409387, 13 pages
http://dx.doi.org/10.1155/2013/409387
Research Article

Structure-Induced Dynamics of Erythrocyte Aggregates by Microscale Simulation

1Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2Department of Materials Science and Engineering, Nanjing University, Nanjing 210093, China
3Department of Physics, Nanjing University, Nanjing 210093, China

Received 22 February 2013; Revised 11 May 2013; Accepted 27 May 2013

Academic Editor: Georgios Georgiou

Copyright © 2013 Tong Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. O. K. Baskurt, R. A. Farley, and H. J. Meiselman, “Erythrocyte aggregation tendency and cellular properties in horse, human, and rat: a comparative study,” American Journal of Physiology, vol. 273, no. 6, pp. H2604–H2612, 1997. View at Google Scholar · View at Scopus
  2. O. K. Baskurt, M. Bor-Kucukatay, O. Yalcin, and H. J. Meiselman, “Aggregation behavior and electrophoretic mobility of red blood cells in various mammalian species,” Biorheology, vol. 37, no. 5-6, pp. 417–428, 2000. View at Google Scholar · View at Scopus
  3. S. M. Razavian, M. Del Pino, A. Simon, and J. Levenson, “Increase in erythrocyte disaggregation shear stress in hypertension,” Hypertension, vol. 20, no. 2, pp. 247–252, 1992. View at Google Scholar · View at Scopus
  4. D. Lominadze, I. G. Joshua, and D. A. Schuschke, “Increased erythrocyte aggregation in spontaneously hypertensive rats,” American Journal of Hypertension, vol. 11, no. 7, pp. 784–789, 1998. View at Publisher · View at Google Scholar · View at Scopus
  5. A. S. Popel and P. C. Johnson, “Microcirculation and hemorheology,” Annual Review of Fluid Mechanics, vol. 37, pp. 43–69, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. A. Kim, H. Dadgostar, G. N. Holland et al., “Hemorheologic abnormalities associated with HIV infection: altered erythrocyte aggregation and deformability,” Investigative Ophthalmology and Visual Science, vol. 47, no. 9, pp. 3927–3932, 2006. View at Publisher · View at Google Scholar · View at Scopus
  7. A. Luquita, L. Urli, M. J. Svetaz et al., “Erythrocyte aggregation in rheumatoid arthritis: cell and plasma factor's role,” Clinical Hemorheology and Microcirculation, vol. 41, no. 1, pp. 49–56, 2009. View at Publisher · View at Google Scholar · View at Scopus
  8. H. A. Cranston, C. W. Boylan, and G. L. Carroll, “Plasmodium falciparum maturation abolishes physiologic red cell deformability,” Science, vol. 223, no. 4634, pp. 400–403, 1984. View at Google Scholar · View at Scopus
  9. J. P. Shelby, J. White, K. Ganesan, P. K. Rathod, and D. T. Chiu, “A microfluidic model for single-cell capillary obstruction by Plasmodium falciparum-infected erythrocytes,” Proceedings of the National Academy of Sciences of the United States of America, vol. 100, no. 25, pp. 14618–14622, 2003. View at Publisher · View at Google Scholar
  10. C. T. Lim, “Single cell mechanics study of the human disease malaria,” Journal of Biomechanical Science and Engineering, vol. 1, no. 1, pp. 82–92, 2006. View at Publisher · View at Google Scholar
  11. S. Suresh, J. Spatz, J. P. Mills et al., “Connections between single-cell biomechanics and human disease states: gastrointestinal cancer and malaria,” Acta Biomaterialia, vol. 1, no. 1, pp. 15–30, 2005. View at Publisher · View at Google Scholar · View at Scopus
  12. D. A. Fedosov, B. Caswell, S. Suresh, and G. E. Karniadakis, “Quantifying the biophysical characteristics of Plasmodium falciparum-parasitized red blood cells in microcirculation,” Proceedings of the National Academy of Sciences of the United States of America, vol. 108, no. 1, pp. 35–39, 2011. View at Publisher · View at Google Scholar
  13. B. Neu, J. K. Armstrong, T. C. Fisher, and H. J. Meiselman, “Aggregation of human RBC in binary dextran—PEG polymer mixtures,” Biorheology, vol. 38, no. 1, pp. 53–68, 2001. View at Google Scholar · View at Scopus
  14. J. K. Armstrong, R. B. Wenby, H. J. Meiselman, and T. C. Fisher, “The hydrodynamic radii of macromolecules and their effect on red blood cell aggregation,” Biophysical Journal, vol. 87, no. 6, pp. 4259–4270, 2004. View at Publisher · View at Google Scholar · View at Scopus
  15. M. W. Rampling, H. J. Meiselman, B. Neu, and O. K. Baskurt, “Influence of cell-specific factors on red blood cell aggregation,” Biorheology, vol. 41, no. 2, pp. 91–112, 2004. View at Google Scholar · View at Scopus
  16. T. Y. Wong, R. Klein, A. R. Sharrett et al., “Cerebral white matter lesions, retinopathy, and incident clinical stroke,” The Journal of the American Medical Association, vol. 288, no. 1, pp. 67–74, 2002. View at Publisher · View at Google Scholar
  17. R. Skalak and P.-I. Branemark, “Deformation of red blood cells in capillaries,” Science, vol. 164, no. 3880, pp. 717–719, 1969. View at Google Scholar · View at Scopus
  18. Y. Suzuki, N. Tateishi, M. Soutani, and N. Maeda, “Deformation of erythrocytes in microvessels and glass capillaries: effects of erythrocyte deformability,” Microcirculation, vol. 3, no. 1, pp. 49–57, 1996. View at Google Scholar · View at Scopus
  19. J. Li, G. Lykotrafitis, M. Dao, and S. Suresh, “Cytoskeletal dynamics of human erythrocyte,” Proceedings of the National Academy of Sciences of the United States of America, vol. 104, no. 12, pp. 4937–4942, 2007. View at Publisher · View at Google Scholar
  20. H. Noguchi, G. Gompper, L. Schmid, A. Wixforth, and T. Franke, “Dynamics of fluid vesicles in flow through structured microchannels,” Europhysics Letters, vol. 89, no. 2, Article ID 28002, 2010. View at Publisher · View at Google Scholar
  21. H. W. Hou, Q. S. Li, G. Y. H. Lee, A. P. Kumar, C. N. Ong, and C. T. Lim, “Deformability study of breast cancer cells using microfluidics,” Biomedical Microdevices, vol. 11, no. 3, pp. 557–564, 2009. View at Publisher · View at Google Scholar · View at Scopus
  22. S. Braunmüller, L. Schmid, and T. Franke, “Dynamics of red blood cells and vesicles in microchannels of oscillating width,” Journal of Physics, vol. 23, no. 18, Article ID 184116, 2011. View at Publisher · View at Google Scholar
  23. M. Fenech, D. Garcia, H. J. Meiselman, and G. Cloutier, “A particle dynamic model of red blood cell aggregation kinetics,” Annals of Biomedical Engineering, vol. 37, no. 11, pp. 2299–2309, 2009. View at Publisher · View at Google Scholar · View at Scopus
  24. Y. Liu, L. Zhang, X. Wang, and W. K. Liu, “Coupling of Navier-Stokes equations with protein molecular dynamics and its application to hemodynamics,” International Journal for Numerical Methods in Fluids, vol. 46, no. 12, pp. 1237–1252, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  25. P. Bagchi, P. C. Johnson, and A. S. Popel, “Computational fluid dynamic simulation of aggregation of deformable cells in a shear flow,” Journal of Biomechanical Engineering, vol. 127, no. 7, pp. 1070–1080, 2005. View at Publisher · View at Google Scholar · View at Scopus
  26. Y. Liu and W. K. Liu, “Rheology of red blood cell aggregation by computer simulation,” Journal of Computational Physics, vol. 220, no. 1, pp. 139–154, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  27. J. Zhang, P. C. Johnson, and A. S. Popel, “Red blood cell aggregation and dissociation in shear flows simulated by lattice Boltzmann method,” Journal of Biomechanics, vol. 41, no. 1, pp. 47–55, 2008. View at Publisher · View at Google Scholar
  28. J. Zhang, P. C. Johnson, and A. S. Popel, “Effects of erythrocyte deformability and aggregation on the cell free layer and apparent viscosity of microscopic blood flows,” Microvascular Research, vol. 77, no. 3, pp. 265–272, 2009. View at Publisher · View at Google Scholar
  29. D. A. Fedosov, B. Caswell, A. S. Popel, and G. E. M. Karniadakis, “Blood flow and cell-free layer in microvessels,” Microcirculation, vol. 17, no. 8, pp. 615–628, 2010. View at Publisher · View at Google Scholar · View at Scopus
  30. T. Wang, T.-W. Pan, Z. W. Xing, and R. Glowinski, “Numerical simulation of rheology of red blood cell rouleaux in microchannels,” Physical Review E, vol. 79, no. 4, Article ID 041916, 11 pages, 2009. View at Publisher · View at Google Scholar
  31. K. I. Tsubota, S. Wada, and T. Yamaguchi, “Simulation study on effects of hematocrit on blood flow properties using particle method,” Journal of Biomechanical Science and Engineering, vol. 1, no. 1, pp. 159–170, 2006. View at Publisher · View at Google Scholar
  32. G. Glowinski, T.-W. Pan, and J. Periaux, “A fictitious domain method for Dirichlet problem and applications,” Computer Methods in Applied Mechanics and Engineering, vol. 111, no. 3-4, pp. 283–303, 1994. View at Publisher · View at Google Scholar
  33. G. Glowinski, T.-W. Pan, and J. Periaux, “A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations,” Computer Methods in Applied Mechanics and Engineering, vol. 112, no. 1–4, pp. 133–148, 1994. View at Publisher · View at Google Scholar
  34. C. S. Peskin, “Numerical analysis of blood flow in the heart,” Journal of Computational Physics, vol. 25, no. 3, pp. 220–252, 1977. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  35. T. Wang and Z. W. Xing, “Characterization of blood flow in capillaries by numerical simulation,” Journal of Modern Physics, vol. 1, no. 6, p. 349, 2010. View at Publisher · View at Google Scholar