No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
Transport of particles by magnetic forces and cellular blood flow in a model microvessel
4. J.-B. Mathieu and S. Martel, “Magnetic microparticle steering within the constraints of an MRI system: Proof of concept of a novel targeting approach,” Biomed. Microdevices 9, 801–808 (2007).
5. J. Riegler, J. A. Wells, P. G. Kyrtatos, A. N. Price, Q. A. Pankhurst, and M. F. Lythgoe, “Targeted magnetic delivery and tracking of cells using a magnetic resonance imaging system,” Biomaterials 31, 5366 (2010).
7. A. Nacev, C. Beni, O. Bruno, and B. Shapiro, “Magnetic nanoparticle transport within flowing blood and into surrounding tissue,” Nanomedicine 5, 1459 (2010).
8. A. R. Pries, D. Neuhaus, and P. Gaehtgens, “Blood viscosity in tube flow: Dependence on diameter and hematocrit,” Am. J. Physiol. Heart Circ. Physiol. 263, H1770 (1992).
9. R. Zhao, M. V. Kameneva, and J. F. Antaki, “Investigation of platelet margination phenomena at elevated shear stress,” Biorheology 44, 161 (2007).
11. M. Saadatmand, T. Ishikawa, N. Matsuki, M. J. Abdekhodaie, Y. Imai, H. Ueno, and T. Yamaguchi, “Fluid particle diffusion through high-hematocrit blood flow within a capillary tube,” J. Biomech. 44, 170 (2011).
12. P. Gaehtgens, C. Duhrssen, and K. H. Albrecht, “Deformation, and interaction of blood cells and plasma during flow through narrow capillary tubes,” Blood Cells 6, 799 (1980).
14. R. L. Whitmore, Rheology of the Circulation (Pergamon, Oxford, 1968).
15. A. Sinha, R. Ganguly, A. K. De, and I. K. Puri, “Single magnetic particle dynamics in a microchannel,” Phys. Fluids 17, 117102 (2007).
19. J. B. Freund and H. Zhao, “A fast high-resolution boundary integral method for multiple interacting blood cells,” in Computational Hydrodynamics of Capsules and Biological Cells, edited by C. Pozrikidis (CRC, Boca Raton, Florida, 2010), pp. 71–111.
20. C. Pozrikidis, Boundary Integral and Singularity Methods for Linearized Viscous Flow (Cambridge University Press, Cambridge, 1992).
21. D. Saintillan, E. Darve, and E. S. G. Shaqfeh, “A smooth particle-mesh Ewald algorithm for Stokes suspension simulations: The sedimentation of fibers,” Phys. Fluids 17, 033301 (2005).
22. Y. Saad and M. H. Schultz, “GMRES: A generalized minimal residual algorithm for solveing nonsymmetric linear systems,” SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 7, 856 (1986).
23. S. Kim and S. J. Karrila, Microhydrodynamics: Principles and Selected Applications (Butterworth-Heinemann, Boston, 1991).
24. D. S. Long, “Microviscometric analysis of microvascular hemodynamics in vivo,” Ph.D. dissertation, University of Illinois at Urbana-Champaign, Urbana, Illinois, 2004.
25. H. Zhao, E. S. G. Shaqfeh, and V. Narsimhan, “Shear-induced particle migration and margination in a cellular suspension,” Phys. Fluids 24, 011902 (2012).
Article metrics loading...
The transport of particles (diameter 0.56 μm) by magnetic forces in a small blood vessel (diameter D = 16.9 μm, mean velocity U = 2.89 mm/s, red cell volume fraction H c = 0.22) is studied using a simulation model that explicitly includes hydrodynamic interactions with realistically deformable red blood cells. A biomedical application of such a system is targeted drug or hyperthermia delivery, for which transport to the vessel wall is essential for localizing therapy. In the absence of magnetic forces, it is seen that interactions with the unsteadily flowing red cells cause lateral particle velocity fluctuations with an approximately normal distribution with variance σ = 140 μm/s. The resulting dispersion is over 100 times faster than expected for Brownian diffusion, which we neglect. Magnetic forces relative to the drag force on a hypothetically fixed particle at the vessel center are selected to range from Ψ = 0.006 to 0.204. The stronger forces quickly drive the magnetic particles to the vessel wall, though in this case the red cells impede margination; for weaker forces, many of the particles are marginated more quickly than might be predicted for a homogeneous fluid by the apparently chaotic stirring induced by the motions of the red cells. A corresponding non-dimensional parameter Ψ′, which is based on the characteristic fluctuation velocity σ rather than the centerline velocity, explains the switch-over between these behaviors. Forces that are applied parallel to the vessel are seen to have a surprisingly strong effect due to the streamwise-asymmetric orientation of the flowing blood cells. In essence, the cells act as low-Reynolds number analogs of turning vanes, causing streamwise accelerated particles to be directed toward the vessel center and streamwise decelerated particles to be directed toward the vessel wall.
Full text loading...
Most read this month