Comparison of erythrocyte dynamics in shear flow under different stress-free configurations

Physics of Fluids

Volumn 26, Issue 4, 2014, Pages

  Cordasco, Daniel ^a   Yazdani, Alireza ^a   Bagchi, Prosenjit ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BLOOD; CELLS; COMPRESSIVE STRESS; CYTOLOGY; DYNAMICS; ENERGY BARRIERS; TANKS (CONTAINERS); VISCOSITY;

HIGHER-ENERGY BARRIERS; PHYSIOLOGICAL RANGE; SHAPE OSCILLATION; SHEAR-PLANE ANGLE; SIMPLE SHEAR FLOW; STRESS-FREE STATE; THEORETICAL MODELING; VORTICITY DIRECTION;

SHEAR FLOW;

EID: 84905188427     PISSN: 10706631     EISSN: 10897666     Source Type: Journal    
DOI: 10.1063/1.4871300     Document Type: Article

References (56)

1. R. Skalak and P. I. Branemark, "Deformation of red blood cells in capillaries," Science 164, 717 (1969).
2. H. Schmid-Schonbein and R. Wells, "Fluid drop-like transition of erythrocytes under shear," Science 165, 288 (1969).
3. T. M. Fischer, M. Stohr-Liesen, and H. Schmid-Schonbein, "The red cell as a fluid droplet: Tank tread-like motion of the human erythrocyte membrane in shear flow," Science 202, 894 (1978).
4. R. Tran-Son-Tay, S. P. Sutera, and P. R. Rao, "Determination of red blood cell membrane viscosity from rheoscopic observations of tank-treading motion," Biophys. J. 46, 65 (1984).
5. T. M. Fischer, "Tank-tread frequency of the red cell membrane: Dependence on the viscosity of the suspending medium," Biophys. J. 93, 2553 (2007).
6. H. L. Goldsmith and J. Marlow, "Flow behavior of erythrocytes. I. Rotation and deformation in dilute suspensions," Proc. R. Soc. London, Ser. B 182, 351 (1972).
7. M. Bitbol, "Red blood cell orientation in orbit C = 0," Biophys. J. 49, 1055 (1986).
8. W. Yao, Z. Wen, Z. Yan, D. Sun, W. Ka, L. Xie, and S. Chien, "Low viscosity ektacytometry and its validation tested by flow chamber," J. Biomech. 34, 1501 (2001).
9. J. Dupire, M. Socol, and A. Viallat, "Full dynamics of a red blood cell in shear flow," Proc. Natl. Acad. Sci. U.S.A. 109, 20808 (2012).
10. M. Abkarian,M. Faivre, and A. Viallat, "Swinging of red blood cells under shear flow," Phys. Rev. Lett. 98, 188302 (2007).
11. J. M. Skotheim and T. W. Secomb, "Red blood cells and other nonspherical capsules in shear flow: Oscillatory dynamics and the tank-treading-to-tumbling transition," Phys. Rev. Lett. 98, 078301 (2007).
12. Y. Sui, Y. T. Chew, P. Roy, Y. P. Cheng, and H. T. Low, "Dynamic motion of red blood cells in simple shear flow," Phys. Fluids 20, 112106 (2008).
13. P. B. Canham, "The minimum energy of bending as a possible explanation of the biconcave shape of the human red blood cell," J. Theor. Biol. 26, 61 (1970).
14. T. M. Fischer, C. W. H. Haest, M. Stohr-Liesen, H. Schmid-Schonbein, and R. Skalak, "The stress-free shape of the red blood cell membrane," Biophys. J. 34, 409 (1981).
15. C. Pozrikidis, "Resting shape and spontaneous membrane curvature of red blood cells," Math. Med. Biol. 22, 34 (2005).
16. T. M. Fischer, "Shape memory of human red blood cells," Biophys. J. 86, 3304 (2004).
17. T. M. Fischer and R. Korzeniewski, "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," J. Fluid Mech. 736, 351 (2013).
18. E. A. Evans and Y. C. Fung, "Improved measurements of the erythrocyte geometry," Microvasc. Res. 4, 335 (1972).
19. Y. C. Fung, Biomechanics: Mechanical Properties of Living Tissues (Springer-Verlag, New York, 1993).
20. N. Mohandas and P. G. Gallagher, "Red cell membrane: Past, present, and future," Blood 112(10), 3939 (2008).
21. K. Chen, J. Liu, S. Heck, J. A. Chasis, X. An, and N. Mohandas, "Resolving the distinct stages in erythroid differentiation based on dynamic changes in membrane protein expression during erythropoiesis," Proc. Natl. Acad. Sci. U.S.A. 106(41), 17413 (2009).
22. J. Li, M. Dao, C. T. Lim, and S. Suresh, "Spectrin-level modeling of the cytoskeleton and optical tweezers stretching of the erythrocyte," Biophys. J. 88, 3707 (2005).
23. U. Seifert, K. Berndl, and R. Lipowsky, "Shape transformations of vesicles: Phase diagram for spontaneous-curvature and bilayer-coupling models," Phys. Rev. A 44(2), 1182 (1991).
24. Y. Lange, R. A. Hadesman, and T. L. Steck, "Role of the reticulum in the stability and shape of the isolated human erythrocyte membrane," J. Cell Biol. 92, 714 (1982).
25. K. Svoboda, C. F. Schmidt, D. Branton, and S. M. Block, "Conformation and elasticity of the isolated red blood cell membrane skeleton," Biophys. J. 63, 784 (1992).
26. K. Khairy, J. Foo, and J. Howard, "Shapes of red blood cells: Comparison of 3D confocal images with the bilayer-couple model," Cell Mol. Biol. 1, 173 (2008).
27. N. Mohandas, "Mechanical properties of the red cell membrane in relation to molecular structure and genetic defects," Annu. Rev. Biophys. Biomol. Struct. 23, 787 (1994).
28. P. R. Zarda, S. Chien, and R. Skalak, "Elastic deformations of red blood cells," J. Biomech. 10(4), 211 (1977).
29. Z. Peng, R. Asaro, and Q. Zhu, "Multiscale simulation of erythrocyte membrane," Phys. Rev. E 81, 031904 (2010).
30. M. Dao, J. Li, and S. Suresh, "Molecularly based analysis of deformation of spectrin network and human erythrocyte," Mater. Sci. Eng. C 26, 1232 (2006).
31. G. Lim H. W., M. Wortis, and R. Mukhopadhyay, "Stomatocyte-discocyte-echinocyte sequence of the human red blood cell: Evidence for the bilayer-couple hypothesis from membrane mechanics," Proc. Natl. Acad. Sci. U.S.A. 99(26), 16766 (2002).
32. K. Tsubota, S. Wada, and H. Liu, "Elastic behavior of a red blood cell with the membrane's nonuniform natural state: Equilibrium shape, motion transition under shear flow, and elongation during tank-treading motion," Biomech. Model Mechanobiol. (published online).
33. Z. Peng and Q. Zhu, "Deformation of the erythrocyte cytoskeleton in tank-treading motions," Soft Matter 9, 7617 (2013).
34. A. Z. K. Yazdani and P. Bagchi, "Phase diagram and breathing dynamics of a single red blood cell and a biconcave capsule in dilute shear flow," Phys. Rev. E 84, 026314 (2011).
35. E. Evans, N. Mohandas, and A. Leung, "Static and dynamic rigidities of normal and sickle erythrocytes," J. Clin. Invest. 73, 477 (1984).
36. S. Chien, "Red cell deformability and its relevance to blood flow," Annu. Rev. Physiol. 49, 177 (1987).
37. A. Z. K. Yazdani and P. Bagchi, "Three-dimensional numerical simulation of vesicle dynamics using a front-tracking method," Phys. Rev. E 85, 056308 (2012).
38. S. K. Doddi and P. Bagchi, "Lateral migration of a capsule in a plane Poiseuille flow in a channel," Int. J. Multiphase Flow 34, 966 (2008).
39. R. Skalak, A. Tozeren, P. R. Zarda, and S. Chien, "Strain energy function of red blood cell membrane," Biophys. J. 13, 245 (1973).
40. W. Helfrich, "Elastic properties of lipid bilayers: Theory and possible experiments," Z. Naturforsch. C 28(11), 693 (1973).
41. O.-Y. Zhong-Can and W. Helfrich, "Bending energy of vesicle membranes: General expressions for the first, second, and third variation of the shape energy and applications to spheres and cylinders," Phys. Rev. A 39(10), 5280 (1989).
42. D. Cordasco and P. Bagchi, "Orbital drift of capsules and red blood cells in shear flow," Phys. Fluids 25, 091902 (2013).
43. T. Betz, L. Martin, J.-F. Joanny, and C. Sykes, "ATP-dependent mechanics of red blood cells," Proc. Natl. Acad. Sci. U.S.A. 106, 15320 (2009).
44. Y.-Z. Yoon, H. Hong, A. Brown, D. C. Kim, D. J. Kang, V. Lew, and P. Cicuta, "Flickering analysis of erythrocyte mechanical properties: Dependence of oxygenation level, cell shape, and hydration level," Biophys. J. 97, 1606 (2009).
45. D. Boss, A. Hoffman, B. Rappaz, C. Depeusinge, and P. J. Magistretti, "Spatially-resolved eigenmode decomposition of red blood cells membrane fluctuations questions the role of ATP in flickering," PloS ONE 7, e40667 (2012).
46. J. Evans, W. Gratzer, N. Mohandas, K. Parker, and J. Sleep, "Fluctuations of the red blood cell membrane: Relation to mechanical properties and lack of ATP dependence," Biophys. J. 94, 4134 (2008).
47. H. J. Deuling and W. Helfrich, "Red blood cell shapes as explained on the basis of curvature elasticity," Biophys. J. 16, 861 (1976).
48. A. Yazdani and P. Bagchi, "Influence of membrane viscosity on capsule dynamics in shear flow," J. Fluid Mech. 718, 569 (2013).
49. H. Zhao and E. S. G. Shaqfeh, "The dynamics of a vesicle in simple shear flow," J. Fluid Mech. 674, 578 (2011).
50. T. Biben, A. Farutin, and C. Misbah, "Three-dimensional vesicles under shear flow: Numerical study of dynamics and phase diagram," Phys. Rev. E 83, 031921 (2011).
51. T. Omori, Y. Imai, T. Yamaguchi, and T. Ishikawa, "Reorientation of a nonspherical capsule in creeping shear flow," Phys. Rev. Lett. 108, 138102 (2012).
52. C. Dupont, A.-V. Salsac, and D. Barthès-Biesel, "Off-plane motion of a prolate capsule in shear flow," J. Fluid Mech. 721, 180 (2013).
53. C. Dupont, F. Delahaye, A.-V. Salsac, and D. Barthès-Biesel, "Off-plane motion of an oblate capsule in a simple shear flow," Comput. Methods Biomech. Biomed. Eng. 16, 4 (2013).
54. G. B. Jeffery, "The motion of ellipsoidal particles immersed in a viscous fluid," Proc. R. Soc. London, Ser. A 102, 161 (1922).
55. G. Subramanian and D. L. Koch, "Inertial effects on the orientation of nearly spherical particles in simple shear flow," J. Fluid Mech. 557, 257 (2006).
56. supplementary material at http://dx.doi.org/10.1063/1.4871300 for transverse membrane movement during alignment toward the shear plane followed by tank-treading and kayaking. SSF λ = 0.5, Ca = 0.1, θ° = 5p/12.