Influence of thickness and permeability of endothelial surface layer on transmission of shear stress in capillaries
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  • 作者:SongPeng Zhang ; XiangJun Zhang ; Yu Tian…
  • 关键词:endothelial surface layer ; transition layer ; Brinkman equation ; shear stress transmission ; glycocalyx thickness ; permeability ; 078701
  • 刊名:SCIENCE CHINA Physics, Mechanics & Astronomy
  • 出版年:2015
  • 出版时间:July 2015
  • 年:2015
  • 卷:58
  • 期:7
  • 页码:1-9
  • 全文大小:1,041 KB
  • 参考文献:1.Pries A R, Secomb T W, Gaehtgens P. The endothelial surface layer. Pfl眉gers Arch Eur J Phys, 2000, 440: 653鈥?66View Article
    2.Squire J M, Chew M, Nneji G, et al. Quasi-periodic substructure in the microvessel endothelial glycocalyx: A possible explanation for molecular filtering. J Struct Biol, 2001,136: 239鈥?55View Article
    3.Reitsma S, Slaaf D W, Vink H, et al. The endothelial glycocalyx: Composition, functions, and visualization. Pflugers Arch, 2007, 454: 345鈥?59View Article
    4.Tarbell J M, Pahakis M Y. Mechanotransduction and the glycocalyx. J Intern Med, 2006, 259: 339鈥?50View Article
    5.Pahakis M Y, Kosky J R, Dull R O, et al. The role of endothelial glycocalyx components in mechanotransduction of fluid shear stress. Biochem Biophys Res Commun, 2007, 355: 228鈥?33View Article
    6.Secomb T W, Hsu R, Pries A R. Effect of the endothelial surface layer on transmission of fluid shear stress to endothelial cells. Biorheology, 2001, 38: 143鈥?50
    7.Yao Y, Rabodzey A, Dewey C. Glycocalyx modulates the motility and proliferative response of vascular endothelium to fluid shear stress. Am J Physiol Circ Physiol, 2007, 293: H1023鈥揌1030View Article
    8.Tarbell J M, Ebong E E. The endothelial glycocalyx: A mechano-sensor and -transducer. Sci Signal, 2008, 1: pt8
    9.Kumagai R, Lu X, Kassab G. Role of glycocalyx in flow-induced production of nitric oxide and reactive oxygen species. Free Radic Biol Med, 2009, 47: 600鈥?07View Article
    10.Weinbaum S, Zhang X, Han Y, et al. Mechanotransduction and flow across the endothelial glycocalyx. Proc Natl Acad Sci USA, 2003, 100: 7988鈥?995ADS View Article
    11.Han Y, Ganatos P, Weinbaum S. Transmission of steady and oscillatory fluid shear stress across epithelial and endothelial surface structures. Phys Fluids, 2005, 17: 031508MathSciNet ADS View Article
    12.Fu B M, Tarbell J M. Mechano-sensing and transduction by endothelial surface glycocalyx: Composition, structure, and function. Wiley Interdiscip Rev Syst Biol Med, 2013, 5: 381鈥?90View Article
    13.Whitaker S. Flow in porous media I: A theoretical derivation of Darcy鈥檚 law. Transp Porous Media, 1986, 1: 3鈥?5View Article
    14.Nield D A, Bejan A. Convection in Porous Media. New York: Springer, 2013MATH View Article
    15.Duman T, Shavit U. An apparent interface location as a tool to solve the porous interface flow problem. Transp Porous Media, 2009, 78: 509鈥?24View Article
    16.Chandesris M, Jamet D. Boundary conditions at a fluid-porous interface: An a priori estimation of the stress jump coefficients. Int J Heat Mass Transf, 2007, 50: 3422鈥?436MATH View Article
    17.Beavers G S, Joseph D D. Boundary conditions at a naturally permeable wall. J Fluid Mech, 1967, 30: 197鈥?07ADS View Article
    18.Ochoa-Tapia J, Whitaker S. Momentum transfer at the boundary between a porous medium and a homogeneous fluid-I. Theoretical development. Int J Heat Mass Transf, 1995, 38: 2635鈥?646MATH View Article
    19.Ochoa-Tapia J A, Whitaker S. Momentum transfer at the boundary between a porous medium and a homogeneous fluid-II. Comparison with experiment. Int J Heat Mass Transf, 1995, 38: 2647鈥?655View Article
    20.Goyeau B, Lhuillier D, Gobin D, et al. Momentum transport at a fluid-porous interface. Int J Heat Mass Transf, 2003, 46: 4071鈥?081MATH View Article
    21.Jamet D, Chandesris M, Goyeau B. On the equivalence of the discontinuous one- and two-domain approaches for the modeling of transport phenomena at a fluid/porous interface. Transp Porous Media, 2008, 78: 403鈥?18MathSciNet View Article
    22.Arthur J K, Ruth D W, Tachie M F. Porous medium flow and an overlying parallel flow: PIV interrogation area and overlaps, interfacial location, and depth ratio effects. Transp Porous Media, 2013, 97: 5鈥?3View Article
    23.Goharzadeh A, Khalili A, J酶rgensen B B. Transition layer thickness at a fluid-porous interface. Phys Fluids, 2005, 17: 057102ADS View Article
    24.Morad M R, Khalili A. Transition layer thickness in a fluid-porous medium of multi-sized spherical beads. Exp Fluids, 2009, 46: 323鈥?30View Article
    25.Nield D A, Kuznetsov A V. The effect of a transition layer between a fluid and a porous medium: Shear flow in a channel. Transp Porous Media, 2009, 78: 477鈥?87View Article
    26.Tao K, Yao J, Huang Z. Analysis of the laminar flow in a transition layer with variable permeability between a free-fluid and a porous medium. Acta Mech, 2013, 224: 1943鈥?955MATH MathSciNet View Article
    27.J盲ger W, Mikelic A. On the interface boundary condition of Beavers, Joseph, and Saffman. SIAM J Appl Math, 2000, 60: 1111鈥?127MATH MathSciNet View Article
    28.Nield D A. The Beavers-Joseph boundary condition and related matters: A historical and critical note. Transp Porous Media, 2009, 78: 537鈥?40View Article
    29.Sangani A, Acrivos A. Slow flow past periodic arrays of cylinders with application to heat transfer. Int J Multiph flow, 1982, 8: 193鈥?06MATH View Article
    30.Brinkman H. A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles. Appl Sci Res, 1947, 1: 27鈥?4View Article
    31.Saffman P. Boundary condition at surface of a porous medium. Stud Appl Math, 1971, 50: 93MATH
    32.Martys N, Bentz D P, Garboczi E J. Computer simulation study of the effective viscosity in Brinkman鈥檚 equation. Phys Fluids, 1994, 6: 1434MATH ADS View Article
    33.Saez A, Perfetti J, Rusinek I. Prediction of effective diffusivities in porous media using spatially periodic models. Transp Porous Media, 1991, 6: 143鈥?57View Article
    34.Bear J, Bachmat Y. Introduction to Modeling of Transport Phenomena in Porous Media. Netherlands: Springer, 1990View Article
    35.Liu S, Masliyah J. Dispersion in porous media. Handb Porous Media, 2005
    36.Tam C. The drag on a cloud of spherical particles in low Reynolds number flow. J Fluid Mech, 1969, 38: 537鈥?46MATH ADS View Article
    37.Kaviany M. Principles of Heat Transfer in Porous Media. New York: Springer, 1995MATH View Article
    38.Agelinchaab M, Tachie M F, Ruth D W. Velocity measurement of flow through a model three-dimensional porous medium. Phys Fluids, 2006, 18: 017105ADS View Article
    39.Gupte S K, Advani S G. Flow near the permeable boundary of a porous medium: An experimental investigation using LDA. Exp Fluids, 1997, 22: 408鈥?22View Article
    40.Guo P. A hydrodynamic mechanosensory hypothesis for brush border microvilli. Am J Physiol-Ren Physiol, 2000, 279: F698鈥揊712
    41.Gouverneur M, Berg B, Nieuwdorp M, et al. Vasculoprotective properties of the endothelial glycocalyx: Effects of fluid shear stress. J Intern Med, 2006, 259: 393鈥?00View Article
    42.Nieuwdorp M. Loss of endothelial glycocalyx during acute hyperglycemia coincides withendothelial dysfunction and coagulation activation in vivo. Diabetes, 2006, 55: 480鈥?86View Article
  • 作者单位:SongPeng Zhang (1)
    XiangJun Zhang (1) (2)
    Yu Tian (1)
    YongGang Meng (1)
    Herbert Lipowsky (2)

    1. State Key Laboratory of Tribology, Tsinghua University, Beijing, 100084, China
    2. Department of Bioengineering, Pennsylvania State University, University Park, Pennsylvania, 16802, USA
  • 刊物类别:Physics and Astronomy
  • 刊物主题:Physics
    Chinese Library of Science
    Mechanics, Fluids and Thermodynamics
    Physics
  • 出版者:Science China Press, co-published with Springer
  • ISSN:1869-1927
文摘
The molecular coating on the surface of microvascular endothelium has been identified as a barrier to transvascular exchange of solutes. With a thickness of hundreds of nanometers, this endothelial surface layer (ESL) has been treated as a porous domain within which fluid shear stresses are dissipated and transmitted to the solid matrix to initiate mechanotransduction events. The present study aims to examine the effects of the ESL thickness and permeability on the transmission of shear stress throughout the ESL. Our results indicate that fluid shear stresses rapidly decrease to insignificant levels within a thin transition layer near the outer boundary of the ESL with a thickness on the order of ten nanometers. The thickness of the transition zone between free fluid and the porous layer was found to be proportional to the square root of the Darcy permeability. As the permeability is reduced ten-fold, the interfacial fluid and solid matrix shear stress gradients increase exponentially two-fold. While the interfacial fluid shear stress is positively related to the ESL thickness, the transmitted matrix stress is reduced by about 50% as the ESL thickness is decreased from 500 to 100 nm, which may occur under pathological conditions. Thus, thickness and permeability of the ESL are two main factors that determine flow features and the apportionment of shear stresses between the fluid and solid phases of the ESL. These results may shed light on the mechanisms of force transmission through the ESL and the pathological events caused by alterations in thickness and permeability of the ESL.

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