An extended convection diffusion model for red blood cell-enhanced transport of thrombocytes and leukocytes
- 7 October 2009
- journal article
- Published by IOP Publishing in Physics in Medicine & Biology
- Vol. 54 (20), 6415-6435
- https://doi.org/10.1088/0031-9155/54/20/024
Abstract
Transport phenomena of platelets and white blood cells (WBCs) are fundamental to the processes of vascular disease and thrombosis. Unfortunately, the dilute volume occupied by these cells is not amenable to fluid-continuum modeling, and yet the cell count is large enough that modeling each individual cell is impractical for most applications. The most feasible option is to treat them as dilute species governed by convection and diffusion; however, this is further complicated by the role of the red blood cell (RBC) phase on the transport of these cells. We therefore propose an extended convection-diffusion (ECD) model based on the diffusive balance of a fictitious field potential, Psi, that accounts for the gradients of both the dilute phase and the local hematocrit. The ECD model was applied to the flow of blood in a tube and between parallel plates in which a profile for the RBC concentration field was imposed and the resulting platelet concentration field predicted. Compared to prevailing enhanced-diffusion models that dispersed the platelet concentration field, the ECD model was able to simulate a near-wall platelet excess, as observed experimentally. The extension of the ECD model depends only on the ability to prescribe the hematocrit distribution, and therefore may be applied to a wide variety of geometries to investigate platelet-mediated vascular disease and device-related thrombosis.Keywords
This publication has 66 references indexed in Scilit:
- Analytic solution for a higher-order lattice Boltzmann method: Slip velocity and Knudsen layerPhysical Review E, 2008
- Three-phase CFD analytical modeling of blood flowMedical Engineering & Physics, 2008
- Hemodynamic Computation Using Multiphase Flow Dynamics in a Right Coronary ArteryAnnals of Biomedical Engineering, 2006
- A multi-component lattice Boltzmann scheme: Towards the mesoscale simulation of blood flowMedical Engineering & Physics, 2006
- Numerical Simulation of Wall Shear Stress and Particle-Based Hemodynamic Parameters in Pre-Cuffed and Streamlined End-to-Side AnastomosesAnnals of Biomedical Engineering, 2005
- Large-scale lattice Boltzmann simulations of complex fluids: advances through the advent of computational GridsPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2005
- Platelet-wall interactions in continuum models of platelet thrombosis: formulation and numerical solutionMathematical Medicine and Biology, 2004
- Particle hemodynamics analysis of Miller cuff arterial anastomosisJournal of Vascular Surgery, 2003
- Computational haemodynamics analysis and comparison study of arterio-venous graftsJournal of Medical Engineering & Technology, 2000
- The Influence of Flow on the Concentration of Platelet Active Substances in the Vicinity of Mural MicrothrombiComputer Methods in Biomechanics and Biomedical Engineering, 1998