Prediction of Coronary Artery Disease Progression in
Human from Numerically Determined Endothelial Shear Stress
CL Feldman
1,2
, AU Coskun
3
, PH Stone
1,2
1
Brigham & Women's Hospital, Boston, MA, USA
2
Harvard Medical School, Boston, MA, USA
3
Northeastern University, Boston, MA, USA
Abstract
Using a technique in which intravascular ultrasound
images are fused with two planes of angiography, blood
flow is measured, and the Navier Stokes equations are
solved in 3 dimensions, we have studied the remodeling
characteristic of 55 human coronary arteries and the
relationship of endothelial shear stress (ESS) to
remodeling and plaque progression in 13 human arteries.
Results indicate that the remodeling characteristics of
87% of coronaries with minimal luminal narrowing are
constant along the length of the artery: 60% percent
demonstrate compensatory remodeling; 19% exhibit
under-remodeling (consistent with stable CAD) and 21%
exhibit excessive remodeling (consistent with unstable
syndromes). Serial studies show that plaque progresses
almost exclusively in regions of low ESS (<12 dyne/cm
2
).
This suggests a new paradigm that focuses on segments
with low ESS, treating those with excessive remodeling
as being at risk for unstable syndromes and those with
inadequate remodeling as being at risk for stable CAD.
1. Introduction
Coronary artery disease (CAD) is a diffuse,
inflammatory disease, resulting from incorporation of
lipoproteins into the wall of the coronary artery.
However, the important sequelae of CAD are focal, with
evidence gathered over several decades suggesting that
the sites of plaque accumulation are determined by
patterns of local endothelial shear stress (ESS)[1,2]. Focal
progression of CAD is related to both plaque progression
and vascular remodeling (outward or inward remodeling
of the external elastic membrane [EEM]). Glagov and
colleagues[3] observed that, in the aggregate, the
response of the EEM to increasing plaque burden is
compensatory outward remodeling until plaque occupies
approximately 40% of the dilated EEM. However, there
is great individual variability in this “Glagov”
remodeling. Outward remodeling has been associated
with unstable plaque, acute coronary syndromes and
myocardial infarction while inward remodeling has been
associated with stable CAD[4-7]. Using techniques we
have previously described and have subsequently
refined[8], we have studied both the remodeling
characteristic of human coronary arteries and the
relationship of ESS to plaque progression in a subset of
those arteries during a follow-up period of approximately
8 months. Our objective is to develop tools to determine
which minor lesions will progress and, of those that do
progress, which will evolve to stable CAD and which will
result in unstable coronary syndromes.
2. Methods
Our methods of intracoronary profiling have been
previously described[8-10]. In brief, the 3-D anatomy of
the artery was reconstructed from IVUS images and 2
planes of coronary angiography. IVUS (Boston
Scientific, Natick, MA) was performed with controlled
pullback at 0.5 mm/sec. The ECG was recorded on the
IVUS images. The arterial lumen and outer vessel wall
were reconstructed from digitized and segmented end-
diastolic IVUS frames[9]. The physical 3-D path of the
IVUS transducer during pullback was determined using
the corresponding biplane angiographic projections. The
3-D reconstructed catheter core served as the stem on
which to rebuild the 3-D geometry. The 3-D position of
each ECG-gated IVUS frame was determined from the
reconstructed trajectory of catheter pullback and pullback
speed[11]. The rotation of the frame was determined
using computational geometry[9]. Each frame was
aligned perpendicular to the catheter core. The boundary
points of each frame were connected by spline curves to
rebuild the luminal geometry in 3-D space.
The 3-D geometry of the outer vessel wall (area within
the EEM) was recreated in a manner similar to that
described for the lumen geometry. The 3-D geometry of
the plaque (plaque plus media thickness) was taken as the
difference between the outer vessel wall and the
lumen[13]. Figure 1 illustrates the reconstructed artery.
0276-6547/05 $20.00 © 2005 IEEE 105 Computers in Cardiology 2005;32:105-108.