Mathematical analysis of the flow over endothelial glycocalyx

• Autorzy: Arslan N.
• Języki publikacji: EN

Abstrakty

EN

Mathematical modeling of the flow over the glycocalyx located on the endothelial cells (EC) was investigated. Flow regions are considered as a core flow region which is the flow in the lumen of the vessel which are simiIar flow to the Poiseuille flow inside the straight pipe and the flow over the glycocalyx located on the EC which are considered as flow through the porous media. Solutions were found in both regions and also wall shear stresses (WSS) and drag forces were calculated.

Słowa kluczowe

EN

mathematical modeling; endothelial cell; blood flow; glycocalyx; wall shear stress

PL

modelowanie matematyczne; komórka śródbłonka; przepływ krwi; glikokaliks

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2007
• Tom: Vol. 12, no 4
• Strony: 1165--1171
• Opis fizyczny: Bibliogr. 12 poz., rys.

Twórcy

autor

Arslan N.

• Fatih University Graduate Institute of Sciences and Engineering and Department of Genetics and Bioengineering 34500 Buyukcekmece, Istanbul, TURKEY,

Bibliografia

• Cannon J.R., Perez Esteva S. and Van der Hoek J. (1987): A Galerkin procedure for the diffiusion equation subject to the specification of mass. - SIAM J. Numerical Analysis, vol.24, No.3, pp.499-515.
• Damiano E.R. (1998): The effect of the endothelial-cell glycocalyx on the motion of red blood cells through capillaries. - Microvascular Research, vol.55, No.1, pp.77-91.
• Dehghan M. (2003): On the numerical solution of the diffusion equation with a nonlocal boundary condition. - Mathematical Problems in Engineering, vol.2, pp.81-92.
• Feng J. and Weinbaum S. (2000): Lubrication theory in highly compressible porous media: the mechanics of skiing, from red cells to humans. - Journal of Fluid Mechanics, vol.422, pp.281-317.
• Fu B.M., Weinbaum S., Tsay R.Y. and Curry F.E. (1994): A junction-orifice-fiber entrance layer model for capillary permeability - application to frog mesenteric capillaries. - Journal of Biomedical Engineering, vol.116, pp.502-513.
• Gordeziani N., Natani P. and Ricci P.E. (2005): Finite-difference methods for solution of nonlocal boundary value problems. - Computers and Mathematics with Applications, vol.50, pp.1333-1344.
• Guo P., Weinstein A.M. and Weinbaum S. (2000): A hydrodynamic mechanosensory hypothesis for brush border microvilli. - The American Journal of Physiology - Renal Physiology, vol.279, No.4, pp.698-712.
• Hu X. and Weinbaum S. (1999): A new view of Starling's hypothesis at the microstructural level. - Microvascular Research, vol.58, No.3, pp.281-304.
• Hu X., Adamson R.H., Liu B., Curry F.E. and Weinbaum S. (2000): Starling forces that oppose filtration after tissue oncotic pressure is increased. - The American Journal of Physiology - Heart and Circulatory Physiology, vol.279, No.4, pp.1724-1736.
• Michel C.C. (1997): Starling: the formulation of his hypothesis of microvascular fluid exchange and its significance after 100 years. - Experimental Physiology, vol.82, pp.1-30.
• Squire J.M., Crew M., Nneji G., Neal G, Barry J. and Michel C. (2001): Quasi-periodic substructure in the microvessel endothelial glycocalyx: A possible explanation for molecular filtering? - J. Struc. Biol., vol.136, pp.239-255.
• Weinbaum S. (1998): Whitaker distinguished lecture: Models to solve mysteries in biomechanics at the cellular level; A new view of fiber matrix layers. - Annals of Biomedical Engineering, vol.26, No.4, pp.627-643.