Influence of erythrocyte aggregation on leukocyte margination in postcapillary expansions: A lattice Boltzmann analysis

Leukocyte rolling on the vascular endothelium requires initial contact between the circulating leukocytes in the blood and the vessel wall. Although specific adhesion mechanisms are involved in leukocyte–endothelium interactions, adhesion patterns in vivo suggest other rheological mechanisms are involved as well. Previous studies have proposed that the abundance of leukocyte rolling in postcapillary venules is due to interactions between red blood cells and leukocytes as they enter capillary expansions as well as red blood cell (RBC) aggregation. We have established a lattice Boltzmann approach to analyze the interactions of RBC aggregates and leukocytes as they flow through a postcapillary expansion. The lattice Boltzmann technique provides the complete solution of the flow field and quantification of the particle–particle forces. Our results show that RBC aggregation strongly influences leukocyte–endothelium interactions.

[1]  L. Munn,et al.  Particulate nature of blood determines macroscopic rheology: a 2-D lattice Boltzmann analysis. , 2005, Biophysical journal.

[2]  C. Aidun,et al.  Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation , 1998, Journal of Fluid Mechanics.

[3]  H. Mayrovitz,et al.  Leukocyte adherence initiation in skeletal muscle capillaries and venules. , 1987, Microvascular research.

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

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

[6]  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 .

[7]  Chenghai Sun,et al.  Adaptive lattice Boltzmann model for compressible flows: Viscous and conductive properties , 2000 .

[8]  S Chien,et al.  In vivo measurements of "apparent viscosity" and microvessel hematocrit in the mesentery of the cat. , 1980, Microvascular research.

[9]  Matthaeus,et al.  Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[10]  Y. Qian,et al.  Lattice BGK Models for Navier-Stokes Equation , 1992 .

[11]  O. Séro-Guillaume,et al.  Multispecies 2D lattice gas with energy levels: diffusive properties , 1991 .

[12]  Jian Cao,et al.  Mechanics of Leukocyte Deformation and Adhesion to Endothelium in Shear Flow , 1999, Annals of Biomedical Engineering.

[13]  P. Bhatnagar,et al.  A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .

[14]  L. Munn,et al.  Red blood cells initiate leukocyte rolling in postcapillary expansions: a lattice Boltzmann analysis. , 2003, Biophysical journal.

[15]  R K Jain,et al.  Selectin- and integrin-mediated T-lymphocyte rolling and arrest on TNF-alpha-activated endothelium: augmentation by erythrocytes. , 1995, Biophysical journal.

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

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

[18]  S. Weinbaum,et al.  Dynamic contact forces on leukocyte microvilli and their penetration of the endothelial glycocalyx. , 2001, Biophysical journal.

[19]  R. Jain,et al.  Erythrocytes enhance lymphocyte rolling and arrest in vivo. , 2000, Microvascular research.

[20]  R. Jain,et al.  Lateral view flow system for studies of cell adhesion and deformation under flow conditions. , 2001, BioTechniques.