Blood flow behavior in microchannels: Past, current and future trends

Single and Two-Phase Flows on Chemical and Biomedical Engineering

Volumn , Issue , 2012, Pages 513-547

  Lima, R ^a,b   Ishikawa, T ^c   Imai, Y ^c   Yamaguchi, T ^c  

^a INSTITUTO POLITÉCNICO DE BRAGANÇA   (Portugal)

^b UNIVERSITY OF PORTO   (Portugal)

^c TOHOKU UNIVERSITY   (Japan)

Author keywords

Blood flow; Blood rheology; Boundary element method; Cell free layer; Computational fluid dynamics; Confocal micro PIV PTV; In vitro blood; Microchannel; Microcirculation; Microscale blood flow; Multiphase flow; Multiscale blood flow; Numerical model; Particle method; Red blood cells

Indexed keywords

EID: 84882848971     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.2174/978160805295011201010513     Document Type: Chapter

References (111)

1. Caro C, Pedley T, Schroter R, Seed W. The mechanics of the circulation. USA: Oxford University Press 1978.
2. Fung Y. Biomechanics-Circulation. 2nd ed. New York: Springer-Verlag 1997.
3. Yamaguchi T, Ishikawa T, Tsubota K, et al. Computational blood flow analysis-new trends and methods. J Biomech Sci Eng 2006; 1: 29-50.
4. Burton A. Physiology and biophysics of the circulation. Chicago: Year Book Medical Publishers 1966.
5. Fahraeus R, Lindqvist T. The viscosity of the blood in narrow capillary tubes. Am J Physiol 1931; 96: 562-568.
6. Wetzel B, Schaefer H. National Cancer Institute. Human Blood Cells. 1982. Available from: http://en.wikipedia.org/wiki/Wikipedia:Featured_picture_candidates/Human_Blood_Cells
7. Chien S, Usami S, Skalak R. Blood flow in small tubes. In: Geiger RR Eds. Handbook of physiology-The cardiovascular system IV, American Physiological Association 1984; 217-249.
8. Shiga T, Maeda N, Kon K. Erythrocyte rheology. Crit Rev Oncol Hemat 1990; 10: 9-48.
9. Fung Y. Biomechanics-Mechanical properties of living tissues. 2nd ed. New York: Springer-Verlag 1993.
10. Minamiyama M. In vivo microcirculatory studies: In vivo video images of microcirculation part 2. 2000. Available from: http://www.ne.jp/asahi/minamiya/medicine/
11. Tsubota K, Wada S, Yamaguchi T. Particle method for computer simulation of red blood cell motion in blood flow. Comput Meth Prog Bio 2006; 83: 139-146.
12. Waite L. Biofluid mechanics in cardiovascular systems, USA: McGraw-Hill 2005.
13. Chien S. Shear dependence of effective cell volume as a determinant of blood viscosity. Science 1970; 168: 977-979.
14. Goldsmith H, Turitto V. Rheological aspects of thrombosis and haemostasis: basic principles and applications. ICTH-Report-Subcommittee on Rheology of the International Committee on Thrombosis and Haemostasis. Thromb Haemostasis 1986; 55(3): 415-435.
15. Levick JR. An introduction to cardiovascular physiology. 4th ed. London: Arnold 2003.
16. Maeda N. Erythrocyte rheology in microcirculation. Jpn J Physiol 1996; 46: 1-14.
17. Lima R. Analysis of the blood flow behavior through microchannels by a confocal micro- PIV/PTV system. PhD(Eng.) dissertation, Bioengineering and Robotics Department, Tohoku University, Japan, 2007.
18. Lima R, Ishikawa T, Imai Y, et al. Measurement of individual red blood cell motions under high hematocrit conditions using a confocal micro-PTV system. Ann Biomed Eng 2009; 37, 8: 1546-1559.
19. Pries A, Neuhaus D, Gaehtgens P. Blood viscosity in tube flow: dependence on diameter and hematocrit. Am J Physiol 1992; 263: H1770-H1778.
20. Pries A, Secomb T. Rheology of the microcirculation. Clin Hemorheol Micro 2003; 29: 143-148.
21. Wada S, Kobayashi R. Simulation of the shape change of a red blood cell at the entrance of a capillary. In: Proceedings of the 4th World Congress of Biomechanics, Calgary, Canada, 2002.
22. Tsubota K, Wada S, Yamaguchi T. Simulation study on effects of hematocrit on blood flow properties using particle method. J Biomech Sci Eng 2006; 1: 159-170.
23. Schmid-Schonbein H, Wells R. Fluid drop-like transition of erythrocytes under shear. Science 1969; 165: 288-291.
24. Goldsmith H. Red cell motions and wall interactions in tube flow, Fed Proc 1971; 30(5): 1578-1588.
25. Goldsmith H. Deformation of human red cells in tube flow, Biorheology 1971; 7: 235-242.
26. Mchedlishvili G, Maeda N. Blood flow structure related to red cell flow: a determination of blood fluidity in narrow microvessels. Jpn J Physiol 2001; 51: 19-30.
27. Reike W, Gaehtgen W, Johnson P. Blood viscosity in small tubes: effect of shear rate, aggregation, and sedimentation. Am J Physiol 1987; 253: H540-H547.
28. Cokelet G, Goldsmith H. Decreased hydrodynamic resistance in the two-phase flow of blood through small vertical tubes at low flow rates. Circ Res 1990; 68 (1): 1-17.
29. Alonso C, Pries A, Kiesslich O, Lerche D, Gaehtgens P. Transient rheological behaviour of blood in low-shear tube flow: velocity profiles and effective viscosity. Am J Physiol 1995; 268: H25-32.
30. Gaehtgens P. Tube flow of human blood at near zero shear. Biorheology 1987; 24: 367-376.
31. Goldsmith H, Karino T. Microscopic considerations: the motions of individual particles. Ann NY Acad Sci 1977; 283: 241-255.
32. Goldsmith H, Marlow J. Flow behavior of erythrocytes. II. Particles motions in concentrated suspensions of ghost cells, J Colloid Interf Sci 1979; 71 (2): 383-407.
33. Nash G, Meiselman H. Red cell and ghost viscoelasticity. Effects of hemoglobin concentration and in vivo aging. Biophysical Journal 1983; 43: 63-73.
34. Baker M, Wayland H. On-line volume flow rate and velocity profile measurement for blood in microvessels. Microvasc Res 1974; 7: 131-143.
35. Gaehtgens P, Meiselman H, Wayland H. Velocity profiles of human blood at normal andreduced hematocrit in glass tubes up to 130 μ diameter. Microvasc Res 1970; 2: 13-23.
36. Tangelder G, Slaaf D, Muijtjens M, et al. Velocity profiles of blood platelets and red blood cells flowing in arteriols of rabbit mesentery. Circ Res 1986; 59: 505-514.
37. Parthasarathi A, Japee S, Pittman R. Determination of red blood cell velocity by video shuttering and image analysis. Ann Biomed Engi 1999; 27: 313-325.
38. Einav S, Berman R, Fuhro P, DiGiovanni P, Fine S, Fridman J. Measurement of velocity profiles of red blood cells in the microcirculation by laser Doppler anemometry (LDA). Biorheology 1975; 12: 207-210.
39. Born G, Melling A, Whitelaw J. Laser Doppler microscope for blood velocity measurement. Biorheology 1978; 15: 163-172.
40. Cochrane T, Earnshaw J, Love A. Laser Doppler measurement of blood velocity in microvessels, Med Biol Eng Comput 1981; 19: 589-596.
41. Uijttewaal W, Nijhof E, Heethaar R. Lateral migration of blood cells and microspheres in two-dimensional Poiseuille flow: a laser Doppler study. J Biomech 1994; 27: 35-42.
42. Golster H, Linden M, Bertuglia S, et al. Red blood cell velocity and volumetric flow assessment by enhanced high-resolution laser Doppler imaging in separate vessels of hamster cheek pouch microcirculation. Microvasc Res 1999; 58: 62-73.
43. Sugii Y, Okuda R, Okamoto K, Madarame H. Velocity measurement of both red blood cells and plasma of in vitro blood flow using high-speed micro PIV technique. Meas Sci Technol 2005; 16: 1126-1130.
44. Nakano A, Sugii Y, Minamiyama M, Niimi H. Measurement of red cell velocity in microvessels using particle image velocimetry (PIV). Clin Hemorheol Micro 2003; 29: 445-455.
45. Pries A, Secomb T, Gessner T, et al. Resistance to blood flow in microvessels in vivo. Circ Res 1994; 75: 904-915.
46. Suzuki Y, Tateishi N, Soutani M, Maeda N. Deformation of erythrocytes in microvessels and glass capillaries: effects of erythrocyte deformability. Microcirculation 1996; 3: 49-57.
47. Lima R, Wada S, Tanaka S, et al. In vitro blood flow in a rectangular PDMS microchannel: experimental observations using a confocal micro-PIV system. Biomed Microdevices, 2008; 10, 2: 153-167.
48. Fujiwara H, Ishikawa T, Lima R, et al. Red blood cell motions in a high hematocrit blood flowing through a stenosed micro-channel. J Biomech, 2009; 42: 838-843.
49. Lima R, Nakamura M, Omori T, Ishikawa T, Wada S, Yamaguchi T. Microscale flow dynamics of red blood cells in microchannels: an experimental and numerical analysis, In: Tavares JM, Jorge RM, Eds. Computational Vision and Medical Processing: Recent Trends. Springer 2010 (in press).
50. Kaji H, Kawashima T, Nishizawa M. Patterning cellular motility using an electrochemical technique and a geometrically-confined environment. Langmuir 2006; 22: 10784-10787.
51. Kaji H, Hashimoto M, Kawashima T, et al. An electrochemical microsystem for manipulating living cells. In: Esashi M, Ishi K, Ohuchi N, Osumi N, Sato M, Yamaguchi T, Eds. Future Medical Engineering based on Bio-nanotechnology, ICP, 2007; 3-14.
52. Kaji H, Sekine S, Hashimoto M, et al. Stepwise formation of patterned cell co-cultures in silicone tubing. Biotechnol Bioeng 2007; 98: 919-925.
53. Lima R, Oliveira, MSN, Ishikawa T, et al. Axisymmetric PDMS microchannels for in vitro haemodynamics studies. Biofabrication 2009; 1, 3: 035005.
54. Giddens D, Zarins C, Glagov S. The role of fluid mechanics in the localization and detection of atherosclerosis. Journal of Biomechanical Engineering 1993; 115: 588-594.
55. Stanton A. Haemodynamics, wall mechanics and atheroma: a clinician's perspective. Proc Inst Mech Engrs, H 1999; 213: 385-390.
56. Slaaf D, Arts T, Jeurens T, et al. Electronic measurement of red blood cell velocity andvolume flow in microvessels, In: Chayen J, Bitensky L, Eds. Investigative Microtechniques in Medicine and Biology, New York, Marcel Dekker 1984; 327-364.
57. Sugii Y, Nishio S, Okamoto K. In vivo PIV measurement of red blood cell velocity field in microvessels considering mesentery motion. Physiol. Meas. 2002; 23: 403-416.
58. Chiu J, Chen C, Lee P, et al. Analysis of the effect of distributed flow on monocytic adhesion to endothelial cells. J Biomech 2003; 36: 1883-18895.
59. Bitsch L, Olesen LH, Westergaard CH, et al. Micro particle-image velocimetry of bead suspensions and blood flows. Exp Fluids 2005; 39: 505-511.
60. Vennemann P, Kiger K, Lindken R, et al. In vivo micro particle image velocimetry measurements of blood-plasma in the embryonic avian heart. J Biomech 2006; 39: 1191-1200.
61. Kim GB, Lee SJ. X-ray PIV measurements of blood flows without tracer particles. Exp Fluids 2006; 41: 195-200.
62. Meinhart C, Wereley S, Gray H. Volume illumination for two-dimensional particle image velocimetry. Meas Sci Technol 2000; 11: 809-814.
63. Meinhart C, Wereley S, Santiago J. PIV measurements of a microchannel flow. Exp Fluids 1999; 27: 414-419.
64. Meinhart C, Wereley S, Santiago J. A PIV algorithm for estimating time-averaged velocity fields. J Fluids Eng 2000; 122: 285-289.
65. Nguyen N, Wereley S. Fundamentals and applications of microfluidics, Norwood, MA: Artech House 2002.
66. Ichihara A, Tanaami T, Isozaki K, et al. High-speed confocal fluorescent microscopy using a Nipkow scanner with microlenses for 3-D imaging of single fluorescent molecule in real time. Bioimages 1996; 4 (2): 57-62.
67. Tanaani T, Otsuki S, Tomosada N, et al. High-speed 1-frame/ms scanning confocal microscope with a microlens and Nipkow disks. Appl Optics 2002; 41 (22): 4704-4708.
68. Inoue S, Inoue T. Direct-view high-speed confocal scanner: the CSU-10. Cell Biological Applications of Confocal Microscopy. Academic Press, 2002; 87-127.
69. Park J, Choi C, Kihm K. Optically sliced micro-PIV using confocal laser scanning microscopy (CLSM). Exp Fluids 2004; 37: 105-119.
70. Park J, Kihm K. Use of confocal laser scanning microscopy (CLSM) for depthwise resolved microscale-particle image velocimetry (μ-PIV). Opt Laser Eng 2006; 44: 208-223.
71. Lima R, Wada S, Tsubota K, Yamaguchi T. Confocal micro-PIV measurements of three dimensional profiles of cell suspension flow in a square microchannel. Meas Sci Technol 2006; 17: 797-808.
72. Kinoshita H, Kaneda S, Fujii T, Oshima M. Three-dimensional measurement and visualization of internal flow of a moving droplet using confocal micro-PIV. Lab on a Chip 2007; 7: 338-346.
73. Lima R, Wada S, Takeda M, Tsubota K, Yamaguchi T. In vitro confocal micro-PIV measurements of blood flow in a square microchannel: the effect of the haematocrit on instantaneous velocity profiles. J Biomech 2007; 40: 2752-2757.
74. Lima R, Ishikawa T, Imai Y, Takeda M, Wada S, Yamaguchi T. Radial dispersion of red blood cells in blood flowing through glass capillaries: role of heamatocrit and geometry. J Biomech 2008; 41: 2188-2196.
75. Shevkoplyas S, Gifford S, Yoshida T, Bitensky M. Prototype of an in vitro model of the microcirculation. Microvasc Res 2003; 65: 132-136.
76. Toner M, Irimia D. Blood on a chip. Annu Rev Biomed Eng 2005; 7: 77-103.
77. Faivre M, Abkarian M, Bickraj K, Stone H. Geometrical focusing of cells in a microfluidic device: an approach to separate blood plasma. Biorheology 2006; 43: 147-159.
78. Casson N. Rheology of Disperse System. London: Pergamon Press 1959.
79. Youngren GK, Acrivos A. Stokes flow past a particle of arbitrary shape: a numerical method of solution. J. Fluid Mech., 1975; 69: 377-403.
80. Rallison JM, Acrivos A. A numerical study of the deformation and burst of a viscous drop in an external flow. J. Fluid Mech 1978; 89, 191-200.
81. Pozrikidis C. Interfacial dynamics for Stokes flow. J Comp Phys 2001; 169: 250-301.
82. Pozrikidis C, ed. Modeling and simulation of capsules and biological cells. Chapman & Hall, 2003.
83. Lac E, Barthes-Biesel D, Pelekasis NA, Tsamopoulos J. Spherical capsules in threedimensional unbounded Stokes flows: effect of the membrane constitutive law and onset of buckling. J Fluid Mech 2004; 516: 303-334.
84. Skalak A, Tozeren R, Zarda P, Chien S. Strain energy function of red blood cell membranes. Biophys J 1973; 13: 245-264
85. Ramanujan S, Pozrikidis C. Deformation of liquid capsules enclosed by elastic membranes in simple shear flow: large deformations and the effect of fluid viscosities. J Fluid Mech 1998; 361: 117-143.
86. Kwak S, Pozrikidis C. Effect of membrane bending stiffness on the deformation of capsules in uniaxial extensional flow. Phys Fluids 2001; 13: 1234-1242.
87. Pozrikidis C. Effect of membrane bending stiffness on the deformation of capsules in simple shear flow. J Fluid Mech 2001; 440: 269-291.
88. Pozrikidis C. Numerical simulation of the flow-induced deformation of red blood cells. Ann Biomed Eng 2003; 31: 1194-1205.
89. Pozrikidis C. Numerical simulation of cell motion in tube flow. Ann Biomed Eng 2005; 33: 165-178.
90. Lac E, Barthes-Biesel D. Deformation of a capsule in simple shear flow: effect of membrane pre-stress. Phys Fluids 2005; 17: 1-8.
91. Chein S, Jan KM. Ultrastructural basis of the mechanism of rouleaux formation. Microvasc Res. 1973; 5: 155-166.
92. Neu B, Meiselman HJ. Depletion-mediated red blood cell aggregation in polymer solutions. Biophys J 2002; 83: 2482-2490.
93. Peskin CS. Numerical analysis of blood flow in the heart. J Comput Phys 1977; 25: 220-233.
94. Univerdi SO, Tryggvason G. A front-tracking method for viscous, incompressible multifluid flows. J Comput Phys 1992; 100: 25-37.
95. Tryggvason G, Bunner B, Esmaeeli A, et al. A front-tracking method for the computations of multiphase flow. J Comput Phys 2001; 169: 708-759.
96. Eggleton CD, Popel AS. Large deformation of red blood cell ghosts in a simple shear flow. Phys Fluids 1998; 10: 1834-1845.
97. Bagchi P. Mesoscale simulation of blood flow in small vessels. Biophys J 2007; 92: 1858-1877.
98. Li X, Sarkar K. Front tracking simulation of deformation and buckling instability of a liquid capsule enclosed by an elastic membrane. J Comput Phys 2008; 227: 4998-5018.
99. Zhang L, Gerstenberger A, Wang X, Liu WK. Immersed finite element method. Comput Methods Appl Engrg 2004; 193: 2051-2067.
100. Liu Y, Liu WK. Rheology of red blood cell aggregation by computer simulation. J Comput Phys 2006; 220: 139-154.
101. Liu WK, Jun S, Zhang YF. Reproducing kernel particle methods. Int J Numer Methods Fluids 1995; 20: 1081-1106.
102. Liu WK, Liu Y, Farrell D, Hsu, H. Immersed finite element method and its applications to biological systems. Comput Methods Appl Engrg 2006; 195: 1722-1749.
103. Succi S. The lattice Boltzmann equation for fluid mechanics and beyond. Oxford: Clarendon Press 2001.
104. Zhang J, Johnson PC, Popel AS. An immersed boundary lattice Boltzmann approach to simulate deformable liquid capsules and its application to microscopic blood flows. Phys Biol 2007; 4: 285-295.
105. Sui Y, Chew YT, Roy P, Low HT. A hybrid method to study flow-induced deformation of three-dimensional capsules. J Comput Phys 2008; 227: 6351-6371.
106. Dupin MM, Halliday I, Care CM, et al. Modeling the flow of dense suspensions of deformable particles in three dimensions. Phys Rev E 2007; 75: 066707.
107. Monagan JJ. An introduction to SPH. Comput Phys Commun 1988; 48: 89-96.
108. Tanaka N, Takano T. Microscopic-scale simulation of blood flow using SPH method. Int J Comput Methods 2005; 2: 555-568.
109. Koshizuka S, Oka Y. Moving-particle semi-implicit method for fragmentation of incompressible fluid. Nucl Sci Eng 1996; 123: 421-434.
110. Kondo H, Imai Y, Ishikawa T, et al. Hemodynamic analysis of microcirculation in malaria infection. Ann Biomed Eng 2009; 37: 702-709.
111. Imai Y, Kondo H, Ishikawa T, et al. Modeling of hemodynamics arising from malaria infection. J Biomech 2010; 43: 1386-1393.