Pulsatile albumin transport in large arteries: A numerical simulation study

Journal of Biomechanical Engineering

Volumn 118, Issue 4, 1996, Pages 511-519

  Rappitsch, G ^a   Perktold, K ^a  

^a GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

BLOOD VESSELS; BOUNDARY CONDITIONS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FLOW PATTERNS; MASS TRANSFER; MECHANICAL PERMEABILITY; NAVIER STOKES EQUATIONS; PHYSIOLOGICAL MODELS; PROTEINS; PULSATILE FLOW; SHEAR STRESS;

ATHEROSCLEROTIC DISEASES; CONVECTIVE DIFFUSION EQUATION; PULSATILE ALBUMIN TRANSPORT; VASCULAR GEOMETRY;

HEMODYNAMICS;

ARTERY BLOOD FLOW; ARTERY OCCLUSION; ARTERY WALL; ARTICLE; COMPUTER SIMULATION; FLOW KINETICS; HEART CYCLE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PROTEIN TRANSPORT;

ARTERIES; BIOLOGICAL TRANSPORT; BLOOD FLOW VELOCITY; COMPUTER SIMULATION; CONSTRICTION, PATHOLOGIC; MODELS, BIOLOGICAL; PULSATILE FLOW; SERUM ALBUMIN; VASCULAR RESISTANCE;

EID: 0030298422     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.2796038     Document Type: Article

References (28)

1. Back, L. H., Radbill, J. R. And Crawford, D. W., 1977, “Analysis of Oxygen Transport From Pulsatile, Viscous Blood Flow to Diseased Coronary Arteries of Man,” J. Biomechanics, Vol. 10, pp. 763-774.
2. Brooks, A. N. And Hughes, T. J. R., 1982, “Streamline Upwind/Petrov-Galerkin Formulations for Convection Dominated Flows With Particular Emphasis on the Incompressible Navier-Stokes Equations,” Comp. Meth. InAppl. Mech. And Eng., Vol. 32, pp. 199-259.
3. Caro, C. G., Fitzgerald, J. M. And Schroter, R. C., 1971, “Atheroma and Wall Shear: Observation, Correlation and Proposal of a Shear Dependent Mass Transfer Mechanism of Atherogenesis,” Proc. Roy. Soc. Lond. Vol. 177, pp. 109-159.
4. Davies, P. F., Dewey, C. F., Bussolari, S. R., Gordon, E. J. And Gimbrone, M. A., 1984, “Influence of Hemodynamic Forces on Vascular Endothelial Function,” Journal of Clinical Investigations, Vol. 73, pp. 1121-1142.
5. Friedman, M. H. And Ehrlich, L. W., 1975, “Effect of Spatial Variations in Shear on Diffusion at the Wall of an Arterial Branch,” Circulation Research, Vol. 37, pp. 446-454.
6. Friedman, M. H. And Fry, D. L., 1993, “Arterial Permeability Dynamics and Vascular Disease,” Atherosclerosis, Vol. 104, pp. 189-194.
7. Fry, D. L., 1968, “Acute Vascular Endothelial Changes Associated With Increased Blood Velocity Gradients,” Circulation Research, Vol. 22, pp. 165-197.
8. Fry, D. L., 1976, “Hemodynamic Forces in Atherogenesis,” Cerebrovascular Diseases P. Scheinberg, ed., Raven Press, New York, pp. 77-95.
9. Fry, D. L. And Vaishnav, R. N., 1980, “Mass Transport in the Arterial Wall,” Basic Hemodynamics and its Role in Disease Processes, Patel, D. J. And Vaishnav, R. N., eds. University Park Press, pp. 425-482.
10. Henderson, J. M., Fry, D. L., and Friedman, M. H., 1994, “Analysis of Models of Arterial Permeability Dynamics,” Biofluid Mechanics, D. Liepsch, ed., Fortschritt-Berichte, Reihe 17, Nr. 107, VDI-Verlag, pp. 717-725.
11. Hughes, T. J. R., Mallet, M. And Mizukami, A., 1986, “A New Finite Element Formulation for Computational Fluid Dynamics: II. Beyond SUPG,” Comp. Meth. In Appl. Mech. And Eng., Vol. 54, pp. 341-355.
12. Hughes, T. J. R., 1987, “Recent Progress in the Development and Understanding of SUPG Methods With Special Reference to the Compressible Euler and Navier-Stokes Equations,” Int. J. Num. Meth. In Fluids, Vol. 7, pp. 1261-1275.
13. Jo, H., Dull, R. O., Hollis, T. M., and Tarbell, J. M., 1991, “Endothelial Albumin Permeability is Shear Dependent, Time Dependent and Reversible,” American Journal of Physiology, Vol. 260, pp. H1992.
14. Johnson, C., Nävert, U., and Pitkäranta, J., 1984, “Finite Element Methods for Linear Hyperbolic Problems,” Comp. Meth. In Appl. Mech. And Eng., Vol. 45, pp. 285-312.
15. Ma, P., Li, X., and Ku, D, N., 1994, “Heat and Mass Transfer in a Separated Flow Region for High Prandtl and Schmidt Numbers Under Pulsatile Conditions,” Int. J. Heat and Mass Transfer, Vol. 37, pp. 2723-2736.
16. Osenberg, H. P., 1991, “Simulation des arteriellen Blutflusses-Ein allgemeines Modell mit Anwendung auf das menschliche Hirngefäßsystem,” Diss., ETH-Zürich 9342, IBT-Zürich.
17. Perktold, K., 1987, “On Numerical Simulation of Three-Dimensional Physiological Flow Problems,” Ber. Math. Stat. Sektion, Forschungsges. Joanneum Graz, Nr. 2809.
18. Perktold, K., Resch, M., and Florian, H., 1991, “Pulsatile Non-Newtonian Flow Characteristics in a Three-Dimensional Human Carotid Bifurcation Model,” ASME Journal op Biomechanical Engineering, Vol. 113, pp. 464-475.
19. Perktold, K., and Rappitsch, G., 1995, “Computer Simulation of Local Blood Flow and Vessel Mechanics in a Compliant Carotid Artery Bifurcation Model,” J. Biomechanics, Vol. 28, pp. 845-856.
20. Perktold, K., Rappitsch, G. And Liepsch, D., 1994, “Flow and Wall Shear Stress in the Human Carotid Artery Bifurcation: Computer Simulation Under Anatomically Realistic Conditions,” Advances in Bioengineering, M. J. Askew, ed., ASME, BED-Vol. 28, pp. 437-438, New York.
21. Pittman, J. F. T., 1989, “Finite Elements for Field Problems,” Computer Modeling of Polymer Processing C. L. Tucker, ed., Hansers Publishers, pp. 238-367, Munich, Vienna, New York.
22. Rappitsch, G., and Perktold, K., 1994, “Numerical Simulation of Mass Transport in Arterial Systems,” Biofluid Mechanics, D. Liepsch, ed., VDI-Verlag, Reihe 17: Biotechnik, Nr. 107, 465-470.
23. Rappitsch, G. And Perktold, K., 1994, “Computer Simulation of Convective Diffusion Phenomena in Large Arteries,” Advances in Bioengineering M. J. Askew, ed., ASME, BED-Vol. 28, pp. 391-392, New York.
24. Rappitsch, G., and Perktold, K., 1996, “Computer Simulation of Convective Diffusion Processes in Large Arteries,” J. Biomechanics, Vol. 29, pp. 207-215.
25. Schneiderman, G., Ellis, C. C., and Goldstick, T. K., 1979, “Mass Transport in Walls of Stenosed Arteries: Variation with Re and Blood Separation,” J. Biomechanics, Vol. 12, pp. 869-873.
26. Sprague, E. A., Steinbach, B. L., Nerem, R. M. And Schwartz, C. J., 1987, “Influence of a Laminar Steady-state Fluid Imposed Wall Shear Stress on the Binding, Internalization, and Degradation of Low Density Lipoproteins by Cultured Arterial Endothelium,” Circulation, Vol. 76, p. 648.
27. Tarbell, J. M., 1993, “Bioengineering Studies of the Endothelial Transport Barrier,” BMES Bulletin, Vol. 17, pp. 35-39
28. Weinbaum, S., Tzeghai, G., Ganatos, P., Pfeffer, R. And Chien, S., 1985, “The Effect of Cell Turnover and Leaky Junctions on Arterial Macromolecular Transport,” Am. J. Physiol., Vol. 248, p. H945.