Threshold shear stress for the transition between tumbling and tank-treading of red blood cells in shear flow: Dependence on the viscosity of the suspending medium

Journal of Fluid Mechanics

Volumn 736, Issue , 2013, Pages 351-365

  Fischer, Thomas M ^a   Korzeniewski, Rafal ^a  

^a RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

biological fluid dynamics; capsule cell dynamics

Indexed keywords

BLOOD; CELLS; CYTOLOGY; SHEAR STRESS; VISCOSITY;

BIOLOGICAL FLUIDS; CRITICAL SHEAR RATES; GLASS CAPILLARIES; MODEL ASSUMPTIONS; POISEUILLE FLOW; RED BLOOD CELL; SHEAR FIELDS; THEORETICAL MODELLING;

SHEAR FLOW;

BIOLOGICAL ANALYSIS; BLOOD; FLUID DYNAMICS; SHEAR FLOW; SHEAR STRESS; VISCOSITY;

EID: 84894421706     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2013.496     Document Type: Article

References (38)

1. ABKARIAN, M., FAIVRE, M. & VIALLAT, A. 2007 Swinging of red blood cells under shear flow. Phys. Rev. Lett. 98, 188302.
2. BASU, H, DHARMADHIKARI, A. K., DHARMADHIKARI, J. A., SHARMA, S. & MATHUR, D. 2011 Tank treading of optically trapped red blood cells in shear flow. Biophys. J. 101, 1604-1612.
3. BESSIS, M. 1972 Red cell shapes: an illustrated classification and its rationale. Nouvelle Revue Française d'Hématologie 12, 721-746.
4. BETZ, T., LENZ, M., JOANNY, J.-F. & SYKES, C. 2009 ATP-dependent mechanics of red blood cells. Proc. Natl Acad. Sci. 106, 15320-15325.
5. BITBOL, M. 1986 Red blood cell orientation in orbit C = 0. Biophys. J. 49, 1055-1068.
6. BOSS, D., HOFFMANN, A., RAPPAZ, B., DEPEURSINGE, C. & MAGISTRETTI, P. J. 2012 Spatially-resolved eigenmode decomposition of red blood cells membrane fluctuations questions the role of ATP in flickering. PLoS ONE 7, e40667.
7. DIMITRAKOPOULOS, P. 2012 Analysis of the variation in the determination of the shear modulus of the erythrocyte membrane: effects of the constitutive law and membrane modelling. Phys. Rev. E 85, 041917.
8. DUPIRE, J., SOCOL, M. & VIALLAT, A. 2012 Full dynamics of a red blood cell in shear flow. Proc. Natl Acad. Sci. USA 109, 20808-20813.
9. EVANS, E. & FUNG, Y.-C. 1972 Improved measurements of the erythrocyte geometry. Microvasc. Res. 4, 335-347.
10. EVANS, J., GRATZER, W., MOHANDAS, N., PARKER, K. & SLEEP, J. 2008 Fluctuations of the red blood cell membrane: relation to mechanical properties and lack of ATP dependence. Biophys. J. 94, 4134-4144.
11. FEDOSOV, D. A., CASWELL, B. & KARNIADAKIS, G. E 2010a Dissipative particle dynamics modelling of red blood cells. In Red Cell Membrane Transport in Health and Disease (ed. C. Pozrikidis), pp. 182-218. CRC Press.
12. FEDOSOV, D. A., CASWELL, B. & KARNIADAKIS, G. E. 2010b A multiscale red blood cell model with accurate mechanics, rheology, and dynamics. Biophys. J. 98, 2215-2225.
13. FISCHER, T. M. 1980 On the energy dissipation in a tank-treading human red blood cell. Biophys. J. 61, 863-868.
14. FISCHER, T. M. 2004 Shape memory of human red blood cells. Biophys. J. 86, 3304-3313.
15. FISCHER, T. M. 2010 A method to prepare isotonic dextran-salt solutions. Cytometry A 77, 805-810.
16. FISCHER, T. M., HAEST, C. W. M., STÖHR-LIESEN, M., SCHMID-SCHÖNBEIN, H. & SKALAK, R. 1981 The stress-free shape of the red blood cell membrane. Biophys. J. 34, 409-422.
17. FISCHER, T. M. & KORZENIEWSKI, R. 2011 Effects of shear rate and suspending medium viscosity on elongation of red cells tank-treading in shear flow. Cytometry A 79, 946-951.
18. GOLDSMITH, H. L. & MARLOW, J. 1972 Flow behaviour of erythrocytes. Part 1. Rotation and deformation in dilute suspensions. Proc. R. Soc. Lond. B 182, 351-384.
19. HOCHMUTH, R. M., WORTHY, P. R. & EVANS, E. A. 1979 Red cell extensional recovery and the determination of membrane viscosity. Biophys. J. 26, 101-114.
20. HUANG, W.-X., CHANG, C. B. & SUNG, H. J. 2012 Three-dimensional simulation of elastic capsules in shear flow by the penalty immersed boundary method. J. Comput. Phys. 231, 3340-3364.
21. KAOUI, B., KRUGER, T. & HARTING, J. 2012 How does confinement affect the dynamics of viscous vesicles and red blood cells?. Soft Matt. 8, 9246-9252.
22. KELLER, S. R. & SKALAK, R. 1982 Motion of a tank-treading ellipsoidal particle in a shear flow. J. Fluid Mech. 120, 27-47.
23. LE, D. V. 2010 Effect of bending stiffness on the deformation of liquid capsules enclosed by thin shells in shear flow. Phys. Rev. E 82, 016318.
24. LE, D.-V. & TAN, Z. 2010 Large deformation of liquid capsules enclosed by thin shells immersed in the fluid. J. Comput. Phys. 229, 4097-4116.
25. LIM, G. H. W., WORTIS, M. & MUKHOPADHYAY, R. 2002 Stomatocyte-discocyte-echinocyte sequence of the human red blood cell: evidence for the bilayer-couple hypothesis from membrane mechanics. Proc. Natl Acad. Sci. USA 99, 16766-16769.
26. LINDERKAMP, O. & MEISELMAN, H. J. 1982 Geometric, osmotic, and membrane mechanical properties of density-separated human red cells. Blood 59, 1121-1127.
27. MORRIS, D. R. & WILLIAMS, A. R. 1979 The effects of suspending medium viscosity on erythrocyte deformation and haemolysis in vitro. Biochim. Biophys. Acta 550, 288-296.
28. NOGUCHI, H. 2009 Swinging and synchronized rotations of red blood cells in simple shear flow. Phys. Rev. E 80, 021902.
29. PARK, Y., BEST, C. A., BADIZADEGAN, K., DASARI, R. R., FELD, M. S., KURIABOVA, T., HENLE, M. L., LEVINE, A. J. & POPESCU, G. 2010 Measurement of red blood cell mechanics during morphological changes. Proc. Natl Acad. Sci. 107, 6731-6736.
30. SCHMID-SCHÖNBEIN, H. & WELLS, R. 1969 Fluid drop-like transition of erythrocytes under shear. Science 165, 288-291.
31. SECOMB, T. W. & SKALAK, R. 1982 Surface flow of viscoelastic membranes in viscous fluids. Q. J. Mech. Appl. Maths 35, 233-247.
32. SKALAK, R., TÖZEREN, A., ZARDA, P. & CHIEN, S. 1973 Strain energy function of red blood cell membranes. Biophys. J. 13, 245-264.
33. SKOTHEIM, J. M. & SECOMB, T. W. 2007 Red blood cells and other nonspherical capsules in shear flow: oscillatory dynamics and the tank-treading-to-tumbling transition. Phys. Rev. Lett. 98, 078301.
34. TRAN-SON-TAY, R., SUTERA, S. P. & RAO, P. R. 1984 Determination of red blood cell membrane viscosity from rheoscopic observations of tank-treading motion. Biophys. J. 46, 65-72.
35. TUVIA, S., ALMAGOR, A., BITLER, A., LEVIN, S., KORENSTEIN, R. & YEDGAR, S. 1997 Cell membrane fluctuations are regulated by medium macroviscosity: evidence for a metabolic driving force. Proc. Natl Acad. Sci. USA 94, 5045-5049.
36. VLAHOVSKA, P. M., YOUNG, Y.-N., DANKER, G. & MISBAH, C. 2011 Dynamics of a non-spherical microcapsule with incompressible interface in shear flow. J. Fluid Mech. 678, 221-247.
37. YAZDANI, A. Z. K. & BAGCHI, P. 2011 Phase diagram and breathing dynamics of a single red blood cell and a biconcave capsule in dilute shear flow. Phys. Rev. E 84, 026314.
38. YOON, Y.-Z., HONG, H., BROWN, A., KIM, D. C., KANG, D. J., LEW, V. L. & CICUTA, P. 2009 Flickering analysis of erythrocyte mechanical properties: dependence on oxygenation level, cell shape, and hydration level. Biophys. J. 97, 1606-1615.