LBM simulations on the influence of endothelial SGL structure on cell adhesion in the micro-vessels

Abstract The endothelial surface glycocalyx layer (SGL) plays a crucial role in modulating vascular permeability, sensing hydrodynamic changes and attenuating cell adhesion in microcirculation. In this work, the effect of endothelial SGL structure on cell adhesion was numerically studied in the uneven micro-vessel caused by the shedding of SGL. The blood dynamics was conducted by the lattice Boltzmann method (LBM), the adhesive dynamics was performed by the stochastic Monte Carlo method, and the cell dynamics was implemented by the Newton ′ s law with translation and rotation. To validate the numerical schemes, the cell suspension flow in the symmetric stenotic vessel and the leukocyte adhesion in the straight micro-vessel were executed firstly. The simulation results show that the present numerical schemes are capable of studying cell suspension behavior and leukocyte adhesive phenomenon in the 2-D blood vessels. By investigating the effect of SGL structure on cell adhesion, it is found that the endothelial SGL structure significantly influences cell adhesion function, by changing the geometry of the vessel, providing more ligands to form receptor–ligand bonds, and enhancing the forward reaction rate for forming new bonds. The present results may be helpful in understanding the mechanical mechanism of cell adhesion function with the shedding of endothelial SGL in microcirculation.

[1]  Shu Chien,et al.  Handbook of Bioengineering , 1986 .

[2]  D. Torney,et al.  The reaction-limited kinetics of membrane-to-surface adhesion and detachment , 1988, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[3]  Sameer Jadhav,et al.  A 3-D computational model predicts that cell deformation affects selectin-mediated leukocyte rolling. , 2005, Biophysical journal.

[4]  Louis J. Durlofsky,et al.  Dynamic simulation of hydrodynamically interacting particles , 1987, Journal of Fluid Mechanics.

[5]  C. Shu,et al.  Particulate Flow Simulation via a Boundary Condition-Enforced Immersed Boundary-Lattice Boltzmann Scheme , 2009 .

[6]  Daniel A Hammer,et al.  Effect of microvillus deformability on leukocyte adhesion explored using adhesive dynamics simulations. , 2005, Biophysical journal.

[7]  P. Bongrand,et al.  Glycocalyx modulation is a physiological means of regulating cell adhesion , 2000 .

[8]  B. Duling,et al.  Identification of distinct luminal domains for macromolecules, erythrocytes, and leukocytes within mammalian capillaries. , 1996, Circulation research.

[9]  Zhifang Lin,et al.  Lattice Boltzmann simulation on particle suspensions in a two-dimensional symmetric stenotic artery. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  D. Hammer,et al.  Influence of direction and type of applied force on the detachment of macromolecularly-bound particles from surfaces , 1996 .

[11]  Sheldon Weinbaum,et al.  The structure and function of the endothelial glycocalyx layer. , 2007, Annual review of biomedical engineering.

[12]  D. Hammer,et al.  The state diagram for cell adhesion under flow: leukocyte rolling and firm adhesion. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[13]  G. He,et al.  Simulation of swimming of a flexible filament using the generalized lattice-spring lattice-Boltzmann method. , 2014, Journal of theoretical biology.

[14]  Luft Jh.  Fine structures of capillary and endocapillary layer as revealed by ruthenium red. , 1966 .

[15]  John M Tarbell,et al.  Shear stress and the endothelial transport barrier. , 2010, Cardiovascular research.

[16]  H. Lipowsky.  The Endothelial Glycocalyx as a Barrier to Leukocyte Adhesion and Its Mediation by Extracellular Proteases , 2011, Annals of Biomedical Engineering.

[17]  Shiyi Chen,et al.  LATTICE BOLTZMANN METHOD FOR FLUID FLOWS , 2001 .

[18]  G. Segré,et al.  Radial Particle Displacements in Poiseuille Flow of Suspensions , 1961, Nature.

[19]  John M Tarbell,et al.  Mechano‐sensing and transduction by endothelial surface glycocalyx: composition, structure, and function , 2013, Wiley interdisciplinary reviews. Systems biology and medicine.

[20]  A. Mulivor,et al.  Role of glycocalyx in leukocyte-endothelial cell adhesion. , 2002, American journal of physiology. Heart and circulatory physiology.

[21]  Y. Liu,et al.  Effects of curvature and cell–cell interaction on cell adhesion in microvessels , 2010, Biomechanics and modeling in mechanobiology.

[22]  P. Williams.  Organic Acids in Pacific Ocean Waters , 1961, Nature.

[23]  M R King,et al.  Multiparticle adhesive dynamics. Interactions between stably rolling cells. , 2001, Biophysical journal.

[24]  Sai K. Doddi,et al.  A computational study of leukocyte adhesion and its effect on flow pattern in microvessels. , 2008, Journal of theoretical biology.

[25]  A. Ladd.  Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation , 1993, Journal of Fluid Mechanics.

[26]  G. I. Bell.  Models for the specific adhesion of cells to cells. , 1978, Science.

[27]  Bin Cai,et al.  Quantification of the endothelial surface glycocalyx on rat and mouse blood vessels. , 2012, Microvascular research.

[28]  D. Hammer,et al.  Simulation of cell rolling and adhesion on surfaces in shear flow: general results and analysis of selectin-mediated neutrophil adhesion. , 1992 .

[29]  B. Fu,et al.  Effects of wall shear stress and its gradient on tumor cell adhesion in curved microvessels , 2011, Biomechanics and Modeling in Mechanobiology.

[30]  D. Slaaf,et al.  Endothelial Glycocalyx Structure in the Intact Carotid Artery: A Two-Photon Laser Scanning Microscopy Study , 2011, Journal of Vascular Research.