Abstract
The mechanics of leukocyte [white blood cell (WBC)] deformation and adhesion to endothelial cells (EC) in shear flow has been investigated. Experimental data on transient WBC–EC adhesion were obtained from in vivo measurements. Microscopic images of WBC–EC contact during incipient WBC rolling revealed that for a given wall shear stress, the contact area increases with time as new bonds are formed at the leading edge, and then decreases with time as the trailing edge of the WBC membrane peels away from the EC. A two-dimensional model (2D) was developed consisting of an elastic ring adhered to a surface under fluid stresses. This ring represents an actin-rich WBC cortical layer and contains an incompressible fluid as the cell interior. All molecular bonds are modeled as elastic springs distributed in the WBC–EC contact region. Variations of the proportionality between wall shear stress (τ w ) in the vicinity of the WBC and the resulting drag force (F s ), i.e., Fs/τw, reveal its decrease with WBC deformation and increasing vessel channel height (2D). The computations also find that the peeling zone between adherent WBC and EC may account for less than 5% of the total contact interface. Computational studies describe the WBC–EC adhesion and the extent of WBC deformation during the adhesive process. © 1999 Biomedical Engineering Society.
PAC99: 8717-d, 8719Tt, 8717Aa
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REFERENCES
Alon, R., D. A. Hammer, and T. A. Springer. Lifetime of the P-selectin—carbohydrate bond and its response to tensile force in hydrodynamic flow. Nature (London) 374:539–542, 1995.
Baker, M., and H. Wayland. On-line volume flow rate and velocity profile measurement for blood in microvessels. Microvasc. Res. 7:131–143, 1974.
Bell, G. I. Models for the specific adhesion of cells to cells. Science 200:618–627, 1978.
Cao, J., B. Donell, D. R. Deaver, M. B. Lawrence, and C. Dong. In vitro side-view imaging technique and analysis of human T-leukemic cell adhesion to ICAM-1 in shear flow. Microvasc. Res. 55:124–137, 1998.
Dembo, M., D. C. Torney, K. Saxman, and D. A. Hammer. The reaction-limited kinetics of membrane-to-surface adhesion and detachment. Proc. R. Soc. London 234:55–83, 1988.
Dembo, M. On peeling an adherent cell from a surface. Lect. Math. Life Sci. 24:51–77, 1994.
Dong, C., R. Skalak, K.-L. P. Sung, G. W. Schmid-Schönbein, and S. Chien. Passive deformation analysis of human leukocytes. J. Biomech. Eng. 110:27–36, 1988.
Dong, C., R. Skalak, and K.-L. P. Sung. Cytoplasmic rheology of passive neutrophils. Biorheology 28:557–567, 1991.
Dong, C., and R. Skalak. Leukocyte deformability: Finite element modeling of large viscoelastic deformation. J. Theor. Biol. 158:173–193, 1992.
Evans, E. Minimum energy analysis of membrane deformation applied to pipet aspiration and surface adhesion of red blood cells. Biophys. J. 30:265–284, 1980.
Evans, E. Detailed mechanics of membrane—membrane adhesion and separation, I. Continuum of molecular crossbridges. Biophys. J. 48:175–183, 1985.
Evans, E., and R. Skalak. Mechanics and Thermodynamics of Biomembranes. Boca Raton, FL: CRC, 1980, pp. 101–117.
Evans, E., and A. Yeung. Apparent viscosity and cortical tension of blood granulocytes determined by micropipet aspiration. Biophys. J. 56:151–160, 1989.
Firrell, J. C., and H. H. Lipowsky. Leukocyte margination and deformation in mesenteric venules of rat. Am. J. Physiol. 256:H1667–1674, 1989.
Goldman, A. J., R. G. Cox, and H. Brenner. Slow viscous motion of a sphere parallel to a plane wall II-Couette flow. Chem. Eng. Sci. 22:653–660, 1967.
Hammer, D. A., and S. M. Apte. Simulation of cell rolling and adhesion on surfaces in shear flow: General results and analysis of selectin-mediated neutrophil adhesion. Biophys. J. 63:35–57, 1992.
Hammer, D. A., and D. A. Lauffenburger. A dynamical model for receptor-mediated cell adhesion to surfaces. Biophys. J. 52:475–487, 1987.
House, S. D., and H. H. Lipowsky. In vivo determination of the force of leukocyte—endothelium adhesion in the mesenteric microvasculature of the cat. Circ. Res. 63:658–668, 1988.
Lawrence, M. B., and T. A. Springer. Leukocytes roll on a selectin at physiologic flow rates: Distinction from and prerequisite for adhesion through integrins. Cell 65:859–873, 1991.
Lei, X., M. B. Lawrence, and C. Dong. Influence of cell deformation on leukocyte rolling adhesion in shear flow. J. Biomech. Eng. (in review).
Lipowsky, H. H., D. Rigedel, and G. S. Shi. In vivo mechanical properties of leukocytes during adhesion to venular endothelium. Biorheology 28:53–64, 1991.
Olivier, L. A., and G. A. Truskey. A numerical analysis of forces exerted by laminar flow on spreading cells in a parallel plate flow chamber assay. Biotechnol. Bioeng. 42:963–973, 1993.
Schmid-Shönbein, G. W., Y. C. Fung, and B. W. Zweifach. Vascular endothelium-leukocyte interaction, sticking shear force in venules. Circ. Res. 36:173–184, 1975.
Springer, T. A. Traffic signals for lymphocyte recirculation and leukocyte emigration: The multistep paradigm. Cell 76:301–314, 1994.
Struble, E. J., C. Dong, and H. H. Lipowsky. Leukocyte deformation and endothelial cell contact mechanics during incipient membrane peeling and cell rolling. FASEB J. 7:A903, 1993.
Tözeren, A., K.-L. Sung, and S. Chien. Theoretical and experimental studies on cross-bridge migration during cell disaggregation. Biophys. J. 55:479–487, 1989.
Ward, M. D., M. Dembo, and D. A. Hammer. Kinetics of cell detachment: Effect of ligand density. Ann. Biomed. Eng. 23:322–331, 1995.
Zhe, S., and H. H. Lipowsky. Image enhancement of the in vivo leukocyte-endothelium contact zone using optical sectioning microscopy. Ann. Biomed. Eng. 25:521–535, 1996.
Zhelev, D. V., D. Needham, and R. M. Hochmuth. Role of the membrane cortex in neutrophil deformation in small pipets. Biophys. J. 67:696–705, 1994.
Zhurkov, S. N. Kinetic concept of the strength of solids. Int. J. Fract. Mech. 1:311–323, 1965.
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Dong, C., Cao, J., Struble, E.J. et al. Mechanics of Leukocyte Deformation and Adhesion to Endothelium in Shear Flow. Annals of Biomedical Engineering 27, 298–312 (1999). https://doi.org/10.1114/1.143
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DOI: https://doi.org/10.1114/1.143