Leukocytes rolling and recruitment by endothelial cells: hemorheological experiments and numerical simulations.

The recruitment of leukocytes from the blood stream and their subsequent adhesion to endothelial walls are essential stages to the immune response system during inflammation. The precise dynamic mechanisms by which molecular mediators facilitate leukocyte arrests are still unknown. In this study combined experimental results and computer simulations are used to investigate localized hydrodynamics of individual and collective behavior of clusters of leukocytes. Leukocyte-endothelial cell interactions in post-capillary venules of Wistar rats cremaster muscle were monitored by intravital microscopy. From these experiments the hemorheologic and hemodynamical measured parameters were used in time dependent three-dimensional computer simulations, using a mesoscopic lattice Boltzmann flow solver for shear thinning fluids. The dynamics of leukocyte clusters under generalized Newtonian blood flow with shear thinning viscosity was computed and discussed. In this paper we present quantified distributions of velocity and shear stress on the surface of leukocytes and near vessel wall attachment points. We have observed one region of maximum shear stress and two regions of minimum shear stress on the surface of leukocytes close to the endothelial wall. We verified that the collective hydrodynamic behavior of the cluster of recruited leukocytes establishes a strong motive for additional leukocyte recruitment. It was found that the lattice Boltzmann solver used here is fully adaptive to the measured experimental parameters. This study suggests that the influence of the leukocytes rolling on the increase of the endothelial wall shear stress may support the activation of more signalling mediators during inflammation.

[1]  G. Truskey,et al.  Three-dimensional numerical simulation of receptor-mediated leukocyte adhesion to surfaces: Effects of cell deformability and viscoelasticity , 2005 .

[2]  P. Gaehtgens,et al.  Adhesion Molecules: The Path to a New Understanding of Acute Inflammation. , 2000, News in physiological sciences : an international journal of physiology produced jointly by the International Union of Physiological Sciences and the American Physiological Society.

[3]  E. Evans,et al.  Dynamic strength of molecular adhesion bonds. , 1997, Biophysical journal.

[4]  Zanetti,et al.  Use of the Boltzmann equation to simulate lattice gas automata. , 1988, Physical review letters.

[5]  P Bongrand,et al.  Cell adhesion. Competition between nonspecific repulsion and specific bonding. , 1984, Biophysical journal.

[6]  Rakesh K Jain,et al.  Red blood cells augment leukocyte rolling in a virtual blood vessel. , 2002, Biophysical journal.

[7]  U. Frisch,et al.  Lattice gas models for 3D hydrodynamics , 1986 .

[8]  Q. Zou,et al.  On pressure and velocity boundary conditions for the lattice Boltzmann BGK model , 1995, comp-gas/9611001.

[9]  G. Schmid-Schönbein,et al.  Biomechanics of microcirculatory blood perfusion. , 1999, Annual review of biomedical engineering.

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

[11]  P. Lallemand,et al.  Momentum transfer of a Boltzmann-lattice fluid with boundaries , 2001 .

[12]  D. Giddens,et al.  Local hemodynamics affect monocytic cell adhesion to a three-dimensional flow model coated with E-selectin. , 2001, Journal of biomechanics.

[13]  R K Jain,et al.  Role of erythrocytes in leukocyte-endothelial interactions: mathematical model and experimental validation. , 1996, Biophysical journal.

[14]  O. Baskurt,et al.  Aggregation behavior and electrophoretic mobility of red blood cells in various mammalian species. , 2000, Biorheology.

[15]  G. Nash,et al.  Rheological properties of the blood influencing selectin-mediated adhesion of flowing leukocytes. , 2003, American journal of physiology. Heart and circulatory physiology.

[16]  Daniel A Hammer,et al.  Adhesive dynamics simulations of the shear threshold effect for leukocytes. , 2007, Biophysical journal.

[17]  O. Baskurt,et al.  Erythrocyte aggregation tendency and cellular properties in horse, human, and rat: a comparative study. , 1997, American journal of physiology. Heart and circulatory physiology.

[18]  C. Saldanha,et al.  Effects of velnacrine maleate in the leukocyte-endothelial cell interactions in rat cremaster microcirculatory network. , 2007, Clinical hemorheology and microcirculation.

[19]  A. Hoekstra,et al.  Mesoscopic simulations of systolic flow in the human abdominal aorta. , 2006, Journal of biomechanics.

[20]  Shu Chien,et al.  Shear Dependence of Effective Cell Volume as a Determinant of Blood Viscosity , 1970, Science.

[21]  Abdel Monim Artoli,et al.  Mesoscopic Simulations of Unsteady Shear-Thinning Flows , 2006, International Conference on Computational Science.

[22]  P. Lallemand,et al.  Lattice Boltzmann method for moving boundaries , 2003 .

[23]  G. Lowe Clinical Blood Rheology , 1988 .

[24]  P. Libby,et al.  Inflammation and Atherosclerosis , 2002, Circulation.

[25]  A. Artoli,et al.  A comparative numerical study of a non-Newtonian blood flow model , 2006 .

[26]  P. Kubes,et al.  Lipopolysaccharide-Induced Leukocyte-Endothelial Cell Interactions: A Role for CD14 Versus Toll-Like Receptor 4 Within Microvessels1 , 2002, The Journal of Immunology.

[27]  X. Wang,et al.  The deformation of an adherent leukocyte under steady shear flow: a numerical study. , 2004, Journal of biomechanics.

[28]  R. Benzi,et al.  Lattice Gas Dynamics with Enhanced Collisions , 1989 .

[29]  Daniel A Hammer,et al.  Adhesive dynamics simulation of neutrophil arrest with deterministic activation. , 2006, Biophysical journal.

[30]  G. Meininger,et al.  Altered cremaster muscle hemodynamics due to disruption of the deferential feed vessels. , 1990, Microvascular research.

[31]  A. Alayash,et al.  Hemodilution With Stoma-Free Hemoglobin at Physiologically Maintained Viscosity Delays the Onset of Vasoconstriction , 2004 .

[32]  M R King,et al.  Multiparticle adhesive dynamics: Hydrodynamic recruitment of rolling leukocytes , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[33]  E. W. Errill Rheology of blood. , 1969, Physiological reviews.

[34]  Rolf Rannacher,et al.  Hemodynamical Flows: Modeling, Analysis and Simulation (Oberwolfach Seminars) , 2007 .