Mechanical Mechanisms for Thrombosis in
Microvessels
Qin Liu
1
, David Mirc
2
, and Bingmei Fu
1
1
Department of Biomedical Engineering, the City College of New York, the City University of New York,
New York, NY10031
2
Department of Mechanical Engineering, University of Nevada-Las Vegas, Las Vegas, NV 89154
Abstract–The hypothesis that thrombus can be
induced in curved vessels due to mechanical stimuli
was tested both experimentally and computationally.
Our in vivo experiments on rat mesentery showed
that thrombi could be formed in non-injured
stretched/curved microvessels (post-capillary venules,
20-50 micrometer in diameter), and they were
initiated at the inner side of the curvature. To
investigate the mechanical mechanisms of the
thrombus formation, we performed 3-D
computational simulation using commercial software,
FLUENT. Vessels with different curvatures (90
o
and
180
o
) as well as different shaped-cross sections
(circular and elliptic) were considered. Our
computational results demonstrated that the shear
rate and shear rate gradient at the inner side of the
curve were higher than those at the opposite side.
The differences became larger in more bended and
elliptic-shaped microvessels. This suggested that
higher shear rate and shear rate gradient are two of
the factors that initiate the thrombosis in curved
post-capillary venules. Our results are consistent
with others in branched venules [1].
I. INTRODUCTION
It has been found that physical factors alone, without
exogenous chemical factors, can induce platelet
aggregation near an injured/damaged location in the
vessel. These physical factors are related to the
magnitude of shear stress/rate, the local geometry of the
vessel, and the duration of the forces applied [2]. Study
[1] on microvessels (arterioles/venules) of rat mesentery
showed that thrombus initiation depended significantly
on shear rate rather than the flow velocity. Platelet
thrombi were first initiated at locations of higher shear
rate in venules and lower shear rate in arterioles. While
in previous studies, either there is turbulence or slowing
in the flow (flow stasis), or the vessels must be
injured/damaged by mechanical, electrical, laser-induced
[3] or photochemical methods [4], in the current study,
we hypothesized that thrombus could be induced in
intact non-injured stretched/curved microvessels due to
mechanical stimuli such as localized shear rates.
II. MATERIALS
Female Sprague-Dawley rats (250-300 g, age 3-4
month) were supplied by Simonson Laboratory (Gilroy,
CA).
Computational simulation was performed on personal
computer (DELL, Pentium 4 CPU, 3.80GHz, 3.37GB
RAM).
III. METHODS
Rat mesentery was gently taken out and arranged on
the surface of a polished quartz pillar (2cm in diameter),
and was continuously superfused with Ringer solution at
35-37
o
C. The microvessel chosen were straight non-
branched postcapillary venules (diameters 20-50 μm).
Restraining glass pipettes were used to hold and stretch
the tissue near the venule to form the curvature. The
microvessel was stretched/curved for ~60 min or less.
Blood circulation in the microvessel was observed by
using a COHU CCD video camera.
3-D models were created with different curvature
angles (0
o
-straight, 90
o
, and 180
o
) as well as different
cross sections (circular and elliptic). The models were
calculated using Fluent (Fluent Inc., Lebanon, NH).
Blood flow was assumed to be steady, incompressible,
laminar, and Newtonian with average velocity 1 mm /s.
Microvessel wall was assumed to be rigid and
impermeable. The density of blood was 1050 kg/m
3
, and
viscosity 2.5 cp [5]. Non-slip boundary condition was
applied on the wall. The outlet pressure was 980 Pa. The
Reynolds number of the flow in the vessel was
approximately 0.01. Solution convergence criterion was
10
-8
in magnitude of residuals.
173 1-4244-1033-9/07/$25.00 © 2007 IEEE.