Impact of endothelium roughness on blood flow

Journal of Theoretical Biology

Volumn 300, Issue , 2012, Pages 152-160

  Park, Sang Woo ^a   Intaglietta, Marcos ^b   Tartakovsky, Daniel M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA SAN DIEGO   (United States)

Author keywords

Random; Stochastic; Wall shear stress

Indexed keywords

NITRIC OXIDE;

BLOOD; FLUID FLOW; PHYSIOLOGICAL RESPONSE; PLASMA; SHEAR STRESS; SPATIAL VARIATION; SPATIOTEMPORAL ANALYSIS; STOCHASTICITY; VISCOSITY;

ARTICLE; BLOOD FLOW; BLOOD PRESSURE; BLOOD VISCOSITY; CALCULATION; CELL SURFACE; ENDOTHELIUM; ERYTHROCYTE; FLOW RATE; MEASUREMENT; PRIORITY JOURNAL; SHEAR STRESS; SIMULATION;

BLOOD FLOW VELOCITY; BLOOD VISCOSITY; ENDOTHELIUM, VASCULAR; HUMANS; MODELS, CARDIOVASCULAR; REGIONAL BLOOD FLOW; STOCHASTIC PROCESSES; STRESS, MECHANICAL; SURFACE PROPERTIES;

EID: 84862777857     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2012.01.017     Document Type: Article

References (24)

1. Barbee K.A., Mundel T., Lal R., Davies P.F. Subcellular distribution of shear stress at the surface of flow-aligned and nonaligned endothelial monolayers. Am. J. Physiol. Heart Circ. Physiol. 1995, 268:H1765-H1772.
2. 2 transport. J. Appl. Physiol. 2006, 100:482-492.
3. Davies P.F., Mundel T., Barbee K.A. A mechanism for heterogeneous endothelial responses to flow in vivo and in vitro. J. Biomech. 1995, 28:1553-1560.
4. Ghanem R., Spanos P. Stochastic Finite Elements: A Spectral Approach 1991, Springer-Verlag, New York.
5. Hightower C.M., Vazquez B.Y.S., Park S.-W., Sriram K., Martini J., Yalcin O., Tsai A.G., Cabrales P., Tartakovsky D.M., Johnson P.C., Intaglietta M. Integration of cardiovascular regulation by the blood/endothelium cell-free layer. WIREs Syst. Biol. Med. 2011, 3:458-470.
6. John K., Barakat A.I. Modulation of ATP/ADP concentration at the endothelial surface by shear stress: effect of flow-induced ATP release. Ann. Biomed. Eng. 2001, 29:740-751.
7. Kelley C., D'Amore P., Hechtman H.B., Shepro D. Microvascular pericyte contractility in vitro: comparison with other cells of the vascular wall. J. Cell Biol. 1987, 104:483-490.
8. Kim S., Kong R.L., Popel A.S., Intaglietta M., Johnson P.C. A computer-based method for determination of the cell-free layer width in microcirculation. Microcirculation 2006, 13:199-207.
9. Kim S., Kong R.L., Popel A.S., Intaglietta M., Johnson P.C. Temporal and spatial variations of cell-free layer width in arterioles. Am. J. Physiol. Heart Circ. Physiol. 2007, 293:H1526-H1535.
10. Lazarev Y.N., Petrov P.V., Tartakovsky D.M. Interface dynamics in randomly heterogeneous porous media. Adv. Water Resour. 2005, 28:393-403.
11. Lin G., Tartakovsky A.M., Tartakovsky D.M. Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids. J. Comput. Phys. 2010, 229:6995-7012.
12. Loève M. Probability Theory 1977, Springer-Verlag, New York. fourth ed.
13. Mashour G.A., Boock R.J. Effects of shear stress on nitric oxide levels of human cerebral endothelial cells cultured in an artificial capillary system. Brain Res. 1999, 842:233-238.
14. Mazzoni M.C., Borgström P., Intaglietta M., Arfors K.E. Lumenal narrowing and endothelial cell swelling in skeletal muscle capillaries during hemorrhagic shock. Circ. Shock 1989, 29:27-39.
15. McAllister T.N., Frangos J.A. Steady and transient fluid shear stress stimulate NO release in osteoblasts through distinct biochemical pathways. J. Bone Miner. Res. 1999, 14:930-936.
16. Satcher R.L.J., Bussolari S.R., Gimbrone M.A.J., Dewey C.F.J. The distribution of fluid forces on model arterial endothelium using computational fluid dynamics. J. Biomech. Eng. 1992, 114:309-316.
17. Sharan M., Popel A.S. A two phase model for flow of blood in narrow tubes with increased effective viscosity near the wall. Biorheology 2001, 38:415-428.
18. Sharan M., Singh B., Kumar P. A two layer model for studying the effect of plasma layer on the delivery of oxygen to tissue using a FEM. Appl. Math. Model. 1997, 21:419-426.
19. Sriram K., Vazquez B.Y.S., Yalcin O., Johnson P.C., Intaglietta M., Tartakovsky D.M. The effect of small changes in hematocrit on nitric oxide transport in arterioles. Antioxid. Redox Signal. 2011, 14:175-185.
20. Tartakovsky D.M., Winter C.L. Dynamics of free surfaces in random porous media. SIAM J. Appl. Math. 2001, 61:1857-1876.
21. Tartakovsky D.M., Xiu D. Stochastic analysis of transport in tubes with rough walls. J. Comput. Phys. 2006, 217:248-259.
22. Xiang C., Cao L., Qin K., Xu Z., Chen B.M. A modified dynamic model for shear stress induced ATP release from vascular endothelial cells. Bio-inspired Computational Intelligence and Applications Lecture Notes in Computer Science 2007, vol. 4688:462-472. Springer, Berlin/Heidelberg.
23. Xiu D., Karniadakis G. The Wiener-Askey polynomial chaos for stochastic differential equations. SIAM J. Sci. Comput. 2002, 24:619-644.
24. Xiu D., Tartakovsky D.M. Numerical methods for differential equations in random domains. SIAM J. Sci. Comput. 2006, 28:1167-1185.