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Margination of white blood cells: a computational approach by a hydrodynamic phase field model

Published online by Cambridge University Press:  03 February 2016

Wieland Marth ,
Sebastian Aland  and
Axel Voigt
Wieland Marth
Affiliation:
Institute of Scientific Computing, TU Dresden, 01062 Dresden, Germany
Sebastian Aland
Affiliation:
Institute of Scientific Computing, TU Dresden, 01062 Dresden, Germany
Axel Voigt*
Affiliation:
Institute of Scientific Computing, TU Dresden, 01062 Dresden, Germany Center for Systems Biology Dresden, Pfotenhauerstr. 108, 01307 Dresden, Germany
*
†Email address for correspondence: axel.voigt@tu-dresden.de
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Abstract

We numerically investigate margination of white blood cells and demonstrate the dependency on a number of conditions including haematocrit, the deformability of the cells and the Reynolds number. The approach, which is based on a mesoscopic hydrodynamic Helfrich-type model, reproduces previous results, e.g. a decreasing tendency for margination with increasing deformability and a non-monotonic dependency on haematocrit. The consideration of inertia effects, which may be of relevance in various parts of the cardiovascular system, indicates a decreasing tendency for margination with increasing Reynolds number. The effect is discussed by analysing inertial and non-inertial lift forces for single cells under different flow conditions and large-scale two-dimensional simulations of interacting red blood cells and white blood cells in an idealized blood vessel.

JFM classification

Biological Fluid Dynamics: Biological Fluid Dynamics Biological Fluid Dynamics: Blood flow
Type
Papers
Information
Journal of Fluid Mechanics , Volume 790 , 10 March 2016 , pp. 389 - 406
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Copyright
© 2016 Cambridge University Press 

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Marth Supplementary Material

The video file "movie1.avi" shows WBC margination in a vessel for $H_t=0.293$ considering a rigid WBC and adopting the simulation parameters Re$=5\cdot10^{-2}$, Be$_{RBC}=5.3$, In$=0.1$ and $Q=15$.

Download Marth Supplementary Material(Video)
Video 11.3 MB