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Diffusive transport of macromolecules across the arterial wall
Korean Journal of Chemical Engineering, May 1997, 14(3), 198-203(6), 10.1007/BF02706095
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Abstract
A mathematical model of diffusive transport of macromolecules across the arterial wall was developed in order to analyze the enhancement of molecular transport into the media in the presence of the endothelial injuries. The model is based on the continuum description of the distribution of macromolecules in the arterial wall with multiple injuries periodically dispersed on the endothelial surface. A boundary element method is successfully employed to model the problem geometry along with the relevant boundary conditions. The concentration and surface flux are computed for various physical conditions of the artery. Among other factors, the proper estimation of the mass transfer resistance, characterized by the Biot number, of the endothelial surface is crucial for the analysis. In addition the curvature effects are negligible when the vessel radius is larger than 10 times the wall thickness.
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References
Beskos DE, "Boundary Element Methods in Mechanics," North Holland, Amsterdam (1987)
Cowper GR, Int. J. Numer. Methods Eng., 114, 405 (1973)
Fung YC, "Biodynamics-Circulation," Springer Verlag, New York (1984)
Getz GS, Ann. N. Y. Acad. Sci., 598, 17 (1990)
Jawson MA, Symm GT, "Integral Equation Methods in Potential Theory and Electrostatics," Academic Press, New York (1977)
Kellogg OD, "Foundations of Potential Theory," Dover, New York (1953)
Lever MJ, Jay MT, "Transport of Materials through the Walls of Different Blood Vessels," Biomechanical Transport Processes, Mosora, F., Caro, C.G., Krause, E., Schmid-Schonbein, H., Baquey, C. and Pelissier, R., Plenu, New York (1990)
Nerem RM, J. Biomech. Eng., 114, 274 (1992)
Nir A, Pfeffer R, J. Theor. Biol., 81, 685 (1979)
Pfeffer R, Ganatos P, Nir A, Weinbaum A, J. Biomech. Eng., 103, 197 (1981)
Ross R, N. Engl. J. Med., 314, 488 (1986)
Tedgui A, Lever MJ, Am. J. Physiol., 253, H1530 (1987)
Tomlin SG, Biochim. Biophys. Acta, 183, 559 (1969)
Weinbaum S, Caro CG, J. Fluid Mech., 74, 611 (1976)
Weinbaum S, Chien S, J. Biomech. Eng., 115, 602 (1993)
Yla-Herttuala S, Ann. N. Y. Acad. Sci., 623, 40 (1991)
Cowper GR, Int. J. Numer. Methods Eng., 114, 405 (1973)
Fung YC, "Biodynamics-Circulation," Springer Verlag, New York (1984)
Getz GS, Ann. N. Y. Acad. Sci., 598, 17 (1990)
Jawson MA, Symm GT, "Integral Equation Methods in Potential Theory and Electrostatics," Academic Press, New York (1977)
Kellogg OD, "Foundations of Potential Theory," Dover, New York (1953)
Lever MJ, Jay MT, "Transport of Materials through the Walls of Different Blood Vessels," Biomechanical Transport Processes, Mosora, F., Caro, C.G., Krause, E., Schmid-Schonbein, H., Baquey, C. and Pelissier, R., Plenu, New York (1990)
Nerem RM, J. Biomech. Eng., 114, 274 (1992)
Nir A, Pfeffer R, J. Theor. Biol., 81, 685 (1979)
Pfeffer R, Ganatos P, Nir A, Weinbaum A, J. Biomech. Eng., 103, 197 (1981)
Ross R, N. Engl. J. Med., 314, 488 (1986)
Tedgui A, Lever MJ, Am. J. Physiol., 253, H1530 (1987)
Tomlin SG, Biochim. Biophys. Acta, 183, 559 (1969)
Weinbaum S, Caro CG, J. Fluid Mech., 74, 611 (1976)
Weinbaum S, Chien S, J. Biomech. Eng., 115, 602 (1993)
Yla-Herttuala S, Ann. N. Y. Acad. Sci., 623, 40 (1991)