Simplified particulate model for coarse-grained hemodynamics simulations

F. Janoschek, F. Toschi, and J. Harting
Phys. Rev. E 82, 056710 – Published 18 November 2010

Abstract

Human blood flow is a multiscale problem: in first approximation, blood is a dense suspension of plasma and deformable red cells. Physiological vessel diameters range from about one to thousands of cell radii. Current computational models either involve a homogeneous fluid and cannot track particulate effects or describe a relatively small number of cells with high resolution but are incapable to reach relevant time and length scales. Our approach is to simplify much further than existing particulate models. We combine well-established methods from other areas of physics in order to find the essential ingredients for a minimalist description that still recovers hemorheology. These ingredients are a lattice Boltzmann method describing rigid particle suspensions to account for hydrodynamic long-range interactions and—in order to describe the more complex short-range behavior of cells—anisotropic model potentials known from molecular-dynamics simulations. Paying detailedness, we achieve an efficient and scalable implementation which is crucial for our ultimate goal: establishing a link between the collective behavior of millions of cells and the macroscopic properties of blood in realistic flow situations. In this paper we present our model and demonstrate its applicability to conditions typical for the microvasculature.

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  • Received 14 May 2010

DOI:https://doi.org/10.1103/PhysRevE.82.056710

©2010 American Physical Society

Authors & Affiliations

F. Janoschek1,2,*, F. Toschi1,3,4,†, and J. Harting1,2,‡

  • 1Department of Applied Physics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
  • 2Institute for Computational Physics, University of Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany
  • 3Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
  • 4CNR-IAC, Via dei Taurini 19, 00185 Rome, Italy

  • *fjanoschek@tue.nl
  • f.toschi@tue.nl
  • j.harting@tue.nl

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Vol. 82, Iss. 5 — November 2010

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