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A boundary-integral representation for biphasic mixture theory, with application
to the post-capillary glycocalyx
#MMPMID26345494
Sumets PP
; Cater JE
; Long DS
; Clarke RJ
Proc Math Phys Eng Sci
2015[Jul]; 471
(2179
): 20140955
PMID26345494
show ga
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.
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