Variations in mass transfer to single endothelial cells
Tóm tắt
Mass transfer between flowing blood and arterial mural cells (including vascular endothelial cells) may play an important role in atherogenesis. Endothelial cells are known to have an apical surface topography that is not flat, and hence mass transfer patterns to individual endothelial cells are likely affected by the local cellular topography. The purpose of this paper is to investigate the relationship between vascular endothelial cell surface topography and cellular level mass transfer. Confluent porcine endothelial monolayers were cultured under both shear and static conditions and atomic force microscopy was used to measure endothelial cell topography. Using finite element methods and the measured cell topography, flow and concentration fields were calculated for a typical, small, blood-borne solute. A relative Sherwood number was defined as the difference between the computed Sherwood number and that predicted by the Leveque solution for mass transfer over a flat surface: this eliminates the effects of axial location on mass transfer efficiency. The average intracellular relative Sherwood number range was found to be dependent on cell height and not dependent on cell elongation due to shear stress in culture. The mass flux to individual cells reached a maximum at the highest point on the endothelial cell surface, typically corresponding to the nucleus of the cell. Therefore, for small receptor-mediated solutes, increased solute uptake efficiency can be achieved by concentrating receptors near the nucleus. The main conclusion of the work is that although the rate of mass transfer varies greatly over an individual cell, the average mass transfer rate to a cell is close to that predicted for a flat cell. In comparison to other hemodynamic factors, the topography of endothelial cells therefore seems to have little effect on mass transfer rates and is likely physiologically insignificant.
Tài liệu tham khảo
Barbee KA, Davies PF, Lal R (1994) Shear stress-induced reorganization of the surface topography of living endothelial cells imaged by atomic force microscopy. Circ Res 74(1): 163–171
Barbee KA, Mundel T, Lal R, Davies PF (1995) Subcellular distribution of shear stress at the surface of flow-aligned and nonaligned endothelial monolayers. Am J Physiol Heart Circ Physiol 268(4): 1765–1772
Bird RB, Stewart WE, Lightfoot EN (1960) Transport phenomena, 2nd edn. Wiley, New York
Braet F, Rotsch C, Wisse E, Radmacher M (1998) Comparison of fixed and living liver endothelial cells by atomic force microscopy. Appl Phys A 66(0): S575–S578
Bussolari SR (1983) The dynamic response of vascular endothelium to fluid shear stress in vitro. Ph.D. thesis, Massachusetts Institute of Technology
Chandran KB, Wahle A, Vigmostad SC, Olszewski ME, Rossen JD, Sonka M (2006) Coronary arteries: imaging, reconstruction, and fluid dynamic analysis. Crit Rev Biomed Eng 34(1): 23–103
Charm SE, Kurland GS, Brown SL (1968) The influence of radial distribution and marginal plasma layer on the flow of red cell suspensions. Biorheology 5(1): 15–43
Chen X, Jaron D, Barbee KA, Buerk DG (2006) The influence of radial RBC distribution, blood velocity profiles, and glycocalyx on coupled NO/O2 transport. J Appl Physiol 100(2): 482–492
Dodge JT, Brown BG, Bolson EL, Dodge HT (1992) Lumen diameter of normal human coronary arteries. Influence of age, sex, anatomic variation, and left ventricular hypertrophy or dilation. Circulation 86(1): 232–246
Ethier CR (2002) Computational modeling of mass transfer and links to atherosclerosis. Ann Biomed Eng 30(4): 461–471
Ethier CR, Steinman DA, Ojha M (1999) The haemodynamics of arterial organs: comparison of computational predictions with in vivo and in vitro data, vol. 1 of Advances in Computational Bioengineering. Comparisons between computational hemodynamics, photochromic dye flow visualization and magnetic resonance velocimetry. WIT Press, pp 131–183
Heil M, Hazel AL (2003) Mass transfer from a finite strip near an oscillating stagnation point—implications for atherogenesis. J Eng math 47(3): 315–334
Hodgson L, Tarbell JM (2002) Solute transport to the endothelial intercellular cleft: the effect of wall shear stress. Ann Biomed Eng 30(7): 936–945
Kaazempur-Mofrad MR, Ethier CR (2001) Mass transport in an anatomically realistic human right coronary artery. Ann Biomed Eng V 29(2): 121–127
Kaazempur-Mofrad MR, Minev PD, Ethier CR (2003) A characteristic/finite element algorithm for time-dependent 3-D advection-dominated transport using unstructured grids. Comput Methods Appl Mech Eng 192(1): 1281–1298
Laurent TC, Bjork I, Pietruszkiewicz A, Persson H (1963) The interaction between polysaccharides and other macromolecules II. The transport of globular particles through hyaluronic acid solutions. Biochim Biophys Acta 78: 351–359
Levesque MJ, Nerem RM, Sprague EA (1990) Vascular endothelial cell proliferation in culture and the influence of flow. Biomaterials 11(9): 702–707
McMichael WJ, Hellums JD (1975) Interphase mass and heat transfer in pulsatile flow. AIChE J 21(4): 743–752
Minev PD, Ethier CR (1998) A characteristic/finite element algorithm for the 3-D Navier-Stokes equations using unstructured grids. Comput Methods Appl Mech Eng 178(1): 39–50
Moloney M, McDonnell L, O’Shea H (2004) Atomic force microscopy of bhk-21 cells: an investigation of cell fixation techniques. Ultramicroscopy 100(3-4): 153–161
Nakamura M, Sawada T (1988) Numerical study on the flow of a non-newtonian fluid through an axisymmetric stenosis. J Biomech Eng 110(2): 137–143
Phibbs RH, Burton AC (1968) Orientation and distribution of erythrocytes in blood flowing through medium-sized arteries. In: Hemorheology: proceedings of the first international conference, pp 617–632
Reitsma S, Slaaf D, Vink H, van Zandvoort M, oude Egbrink M (2007) The endothelial glycocalyx: composition, functions, and visualization. Pflug Arch Eur J Phys 454(3): 345–359
Satcher RL Jr, Bussolari SR, Gimbrone MA Jr, Dewey CF Jr (1992) The distribution of fluid forces on model arterial endothelium using computational fluid dynamics. J Biomech Eng 114(3): 309–316
Sato M, Nagayama K, Kataoka N, Sasaki M, Hane K (2000) Local mechanical properties measured by atomic force microscopy for cultured bovine endothelial cells exposed to shear stress. J Biomech 33(1): 127–135
Shaw J, Slade A, Yip C (2003) Simultaneous in situ total internal reflectance fluorescence/atomic force microscopy studies of DPPC/dPOPC microdomains in supported planar lipid bilayers. J Am Chem Soc 125(39): 11838–11839
Shaw JE, Epand RF, Epand RM, Li Z, Bittman R, Yip CM (2006) Correlated fluorescence-atomic force microscopy of membrane domains: Structure of fluorescence probes determines lipid localization. Biophys J 90(6): 2170–2178
Sinniah K, Paauw J, Ubels J (2002) Investigating live and fixed epithelial and fibroblast cells by atomic force microscopy. Curr Eye Res 24(3): 188–195
Tandon PN, Rana UVS (1995) A new model for blood flow through an artery with axisymmetric stenosis. Int J Biomed Comput 38(3): 257–267
Tarbell JM (2003) Mass transport in arteries and the localization of atherosclerosis. Annu Rev Biomed Eng 5(1): 79–118
Wada S, Karino T (2002) Prediction of ldl concentration at the luminal surface of a vascular endothelium. Biorheology 39(3): 331–336
Winlove CP, Parker KH (1984) Diffusion of macromolecules in hyaluronate gels. I. Development of methods and preliminary results. Biorheology 21(3): 347–362
Zhang J (2005) Finite element modeling of mass transport to endothelial cells. Master’s thesis, University of Toronto