A boundary-integral representation for biphasic mixture theory, with application to the post-capillary glycocalyx.
We describe a new boundary-integral representation for biphasic mixture theory, which allows us to efficiently solve certain elastohydrodynamic-mobility problems using boundary element methods. We apply this formulation to model the motion of a rigid particle through a microtube which has non-uniform wall shape, is filled with a viscous Newtonian fluid, and is lined with a thin poroelastic layer. This is relevant to scenarios such as the transport of small rigid cells (such as neutrophils) through microvessels that are lined with an endothelial glycocalyx layer (EGL). In this context, we examine the impact of geometry upon some recently reported phenomena, including the creation of viscous eddies, fluid flux into the EGL, as well as the role of the EGL in transmitting mechanical signals to the underlying endothelial cells.
Department of Engineering Science , University of Auckland , Auckland 1142, New Zealand.
P P
PP
Sumets
Department of Engineering Science , University of Auckland , Auckland 1142, New Zealand.
J E
JE
Cater
Department of Engineering Science , University of Auckland , Auckland 1142, New Zealand ; Auckland Bioengineering Institute , University of Auckland , Auckland 1142, New Zealand.
D S
DS
Long
Department of Engineering Science , University of Auckland , Auckland 1142, New Zealand.
R J
RJ
Clarke
biphasic mixture theory; boundary element methods; endothelial glycocalyx layer