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BioMed Research International
Volume 2016, Article ID 1801403, 16 pages
http://dx.doi.org/10.1155/2016/1801403
Research Article

A Two-Dimensional Numerical Investigation of Transport of Malaria-Infected Red Blood Cells in Stenotic Microchannels

1Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2School of Electronic Science and Engineering, Nanjing University, Nanjing 210093, China

Received 28 August 2016; Revised 12 November 2016; Accepted 23 November 2016

Academic Editor: Hiroaki Hirata

Copyright © 2016 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. L. H. Miller, D. I. Baruch, K. Marsh, and O. K. Doumbo, “The pathogenic basis of malaria,” Nature, vol. 415, no. 6872, pp. 673–679, 2002. View at Publisher · View at Google Scholar · View at Scopus
  2. 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
  3. 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 · View at Scopus
  4. S. Kim, A. S. Popel, M. Intaglietta, and P. C. Johnson, “Aggregate formation of erythrocytes in postcapillary venules,” American Journal of Physiology - Heart and Circulatory Physiology, vol. 288, no. 2, pp. H584–H590, 2005. View at Publisher · View at Google Scholar · View at Scopus
  5. M. Abkarian, M. Faivre, and H. Stone, “Red blood cell dynamics, deformation and separation in microfluidic devices,” Journal of Biomechanics, vol. 39, no. 1, p. S332, 2006. View at Publisher · View at Google Scholar
  6. S. S. Lee, Y. Yim, K. H. Ahn, and S. J. Lee, “Extensional flow-based assessment of red blood cell deformability using hyperbolic converging microchannel,” Biomedical Microdevices, vol. 11, no. 5, pp. 1021–1027, 2009. View at Publisher · View at Google Scholar · View at Scopus
  7. H. Bow, I. V. Pivkin, M. Diez-Silva et al., “A microfabricated deformability-based flow cytometer with application to malaria,” Lab on a Chip, vol. 11, no. 6, pp. 1065–1073, 2011. View at Publisher · View at Google Scholar · View at Scopus
  8. V. Leble, R. Lima, R. Dias et al., “Asymmetry of red blood cell motions in a microchannel with a diverging and converging bifurcation,” Biomicrofluidics, vol. 5, no. 4, Article ID 044120, 2011. View at Publisher · View at Google Scholar · View at Scopus
  9. G. Tomaiuolo, M. Barra, V. Preziosi, A. Cassinese, B. Rotoli, and S. Guido, “Microfluidics analysis of red blood cell membrane viscoelasticity,” Lab on a Chip—Miniaturisation for Chemistry and Biology, vol. 11, no. 3, pp. 449–454, 2011. View at Publisher · View at Google Scholar · View at Scopus
  10. Q. Guo, S. J. Reiling, P. Rohrbach, and H. Ma, “Microfluidic biomechanical assay for red blood cells parasitized by Plasmodium falciparum,” Lab on a Chip—Miniaturisation for Chemistry and Biology, vol. 12, no. 6, pp. 1143–1150, 2012. View at Publisher · View at Google Scholar · View at Scopus
  11. Y. Imai, H. Kondo, T. Ishikawa, C. Teck Lim, and T. Yamaguchi, “Modeling of hemodynamics arising from malaria infection,” Journal of Biomechanics, vol. 43, no. 7, pp. 1386–1393, 2010. View at Publisher · View at Google Scholar · View at Scopus
  12. Y. Imai, K. Nakaaki, H. Kondo, T. Ishikawa, C. Teck Lim, and T. Yamaguchi, “Margination of red blood cells infected by Plasmodium falciparum in a microvessel,” Journal of Biomechanics, vol. 44, no. 8, pp. 1553–1558, 2011. View at Publisher · View at Google Scholar · View at Scopus
  13. 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 · View at Scopus
  14. T. Wu and J. J. Feng, “Simulation of malaria-infected red blood cells in microfluidic channels: passage and blockage,” Biomicrofluidics, vol. 7, no. 4, Article ID 044115, 2013. View at Publisher · View at Google Scholar · View at Scopus
  15. T. Ye, N. Phan-Thien, B. Cheong Khoo, and C. Teck Lim, “Numerical modelling of a healthy/malaria-infected erythrocyte in shear flow using dissipative particle dynamics method,” Journal of Applied Physics, vol. 115, no. 22, Article ID 224701, 2014. View at Publisher · View at Google Scholar · View at Scopus
  16. M. Navidbakhsh and M. Rezazadeh, “An immersed boundary-lattice Boltzmann model for simulation of malaria-infected red blood cell in micro-channel,” Scientia Iranica, vol. 19, no. 5, pp. 1329–1336, 2012. View at Publisher · View at Google Scholar · View at Scopus
  17. M. Aingaran, R. Zhang, S. K. Law et al., “Host cell deformability is linked to transmission in the human malaria parasite Plasmodium falciparum,” Cellular Microbiology, vol. 14, no. 7, pp. 983–993, 2012. View at Publisher · View at Google Scholar · View at Scopus
  18. 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
  19. 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 Scopus
  20. 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—Statistical, Nonlinear, and Soft Matter Physics, vol. 79, no. 4, Article ID 041916, 2009. View at Publisher · View at Google Scholar · View at Scopus
  21. T. Wang, Z. Xing, and D. Xing, “Structure-induced dynamics of erythrocyte aggregates by microscale simulation,” Journal of Applied Mathematics, vol. 2013, Article ID 409387, 13 pages, 2013. View at Publisher · View at Google Scholar · View at Scopus
  22. H. Li, T. Ye, and K. Y. Lam, “Computational analysis of dynamic interaction of two red blood cells in a capillary,” Cell Biochemistry and Biophysics, vol. 69, no. 3, pp. 673–680, 2014. View at Publisher · View at Google Scholar · View at Scopus
  23. P. Bagchi, “Mesoscale simulation of blood flow in small vessels,” Biophysical Journal, vol. 92, no. 6, pp. 1858–1877, 2007. View at Publisher · View at Google Scholar · View at Scopus
  24. 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
  25. H. Noguchi and G. Gompper, “Shape transitions of fluid vesicles and red blood cells in capillary flows,” Proceedings of the National Academy of Sciences of the United States of America, vol. 102, no. 40, pp. 14159–14164, 2005. View at Publisher · View at Google Scholar · View at Scopus
  26. D. A. Fedosov, B. Caswell, and G. E. Karniadakis, “A multiscale red blood cell model with accurate mechanics, rheology, and dynamics,” Biophysical Journal, vol. 98, no. 10, pp. 2215–2225, 2010. View at Publisher · View at Google Scholar · View at Scopus
  27. D. A. Fedosov, B. Caswell, and G. E. Karniadakis, “Systematic coarse-graining of spectrin-level red blood cell models,” Computer Methods in Applied Mechanics and Engineering, vol. 199, no. 29-32, pp. 1937–1948, 2010. View at Publisher · View at Google Scholar · View at Scopus
  28. T. Wang, U. Rongin, and Z. Xing, “A micro-scale simulation of red blood cell passage through symmetric and asymmetric bifurcated vessels,” Scientific Reports, vol. 6, Article ID 20262, 2016. View at Publisher · View at Google Scholar · View at Scopus
  29. K. Tsukada, E. Sekizuka, C. Oshio, and H. Minamitani, “Direct measurement of erythrocyte deformability in diabetes mellitus with a transparent microchannel capillary model and high-speed video camera system,” Microvascular Research, vol. 61, no. 3, pp. 231–239, 2001. View at Publisher · View at Google Scholar · View at Scopus
  30. J. M. Higgins, D. T. Eddington, S. N. Bhatia, and L. Mahadevan, “Sickle cell vasoocclusion and rescue in a microfluidic device,” Proceedings of the National Academy of Sciences of the United States of America, vol. 104, no. 51, pp. 20496–20500, 2007. View at Publisher · View at Google Scholar · View at Scopus
  31. S. Chien and K.-M. Jan, “Ultrastructural basis of the mechanism of rouleaux formation,” Microvascular Research, vol. 5, no. 2, pp. 155–166, 1973. View at Publisher · View at Google Scholar · View at Scopus
  32. B. Neu and H. J. Meiselman, “Depletion-mediated red blood cell aggregation in polymer solutions,” Biophysical Journal, vol. 83, no. 5, pp. 2482–2490, 2002. View at Publisher · View at Google Scholar · View at Scopus
  33. R. 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 · View at Scopus
  34. R. 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 · View at Zentralblatt MATH · View at Scopus
  35. 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 MathSciNet · View at Scopus
  36. A. Quarteroni, “Cardiovascular mathematics,” in Proceedings of the International Congress of Mathematicians, Madrid, Spain, August 2006.