1
Introduction
Stroke is the third leading cause of death and the primary cause of disability in
the world [1]. Carotid atherosclerotic disease is thought to be the predominant etiology
of stroke in Western society [2]. Nevertheless, clinical assessment of stroke risk
has not progressed beyond the use of luminal stenosis in spite of evidence to suggest
that this is an inadequate predictor of stroke [3]. Recent imaging studies have suggested
plaque composition as an independent risk factor for ischemic stroke [4,5].
A typical carotid atherosclerotic plaque is composed of lipid-rich necrotic core (LRNC),
calcium and plaque hemorrhage covered by a layer of fibrous cap (FC). High risk characteristics
include large LRNC [6], presence of hemorrhage [7], and thin or defective FC [8].
Intraplaque hemorrhage (IPH) may cause complications by promoting vulnerability, luminal
occlusion or downstream emboli. Long term plaque progression due to IPH can be captured
using high-resolution magnetic resonance imaging (MRI) [9]. It has been observed that
IPH has a much wider prevalence in symptomatic patients than asymptomatic individuals
[5]. Altaf et al. found that 15 out of 66 recurrent events were associated with IPH
while only two recurrent events occurred in its absence in symptomatic patients with
high-grade atherosclerotic lesions [10]. Similar results were obtained from 39 symptomatic
patients with mild to moderate (30–69%) stenosis [11]. Recently, in a prospective
study of 61 acutely symptomatic patients, Sadat et al. found that the presence of
plaque hemorrhage was closely associated with the occurrence of future cerebrovascular
events [12]. Even in asymptomatic patients, there is a risk conferred by IPH. Takaya
et al. found that presence of IPH was associated with the incidence of cerebrovascular
events in previously asymptomatic patients (n = 154; stenosis: 50–79%) [13]. Singh
et al. confirmed that MR-depicted IPH was associated with an increased risk of cerebrovascular
events (n = 91) in asymptomatic moderate carotid stenosis [14].
Histopathological examinations have revealed the association between IPH and the presence
of neovessels [15,16]. Neovascularization can be considered a compensatory response
to hypoxia present in the deep intimal and medial areas of the artery [17,18]. Due
to poorly developed vessel walls, blood components, such as red blood cells (RBC),
neutrophils and other proinflammatory cells, may migrate from the bloodstream into
the plaque [19,20]. These may release an array of proteases that induce the death
of endothelial cells, thereby generating local disruption of microvessels [21] and
further promoting IPH.
Aside from these inflammatory factors, under physiological conditions, atherosclerotic
plaque is subjected to mechanical loading due to blood pressure, as are its associated
neovessels. Finite element analysis has been widely used to estimate the stress concentrated
within the fibrous cap as a mechanics-based vulnerability assessment [22,23]. This
is based on the hypothesis that fibrous cap rupture possibly occurs when the extra
loading due to blood pressure and hemodynamic flow exceed its material strength. Being
embedded in the atherosclerotic plaque, neovessels are also presumably susceptible
to mechanical loading effects from the deformation of entire plaque structure driven
by the dynamic blood pressure. Harsh local mechanical conditions, if present, may
also contribute to the neovessel damage and further encourage IPH formation. However,
this has not yet been examined in detail. This study, therefore, aims to (1) quantify
the critical mechanical conditions (stress and stretch) around neovessels based on
high-resolution histological images; and (2) characterize the association between
these conditions and plaque's pathological features, such as the distribution of red
blood cells as a marker of IPH.
2
Materials and methods
Four carotid plaques with over 70% stenosis were collected en bloc following carotid
endarterectomy. One of the four patients was male; they were 74.3 ± 15.2 years old;
the blood pressure was 127.5 ± 26.8 mmHg for systole and 78.0 ± 15.0 mmHg for diastole.
The samples were formalin-saline fixed, decalcified, embedded in paraffin and stained
using hematoxylin and eosin (H&E), Verhoeff's Van Gieson (EVG), Nile red and Masson's
trichrome to visualize various components within plaque. Histopathological slides
were digitalized using NanoZoomer (Hamamatsu, Japan) (Fig. 1). Considering the computational
workload, one slide located at the most stenotic site was chosen for analysis.
The digitalized image was segmented manually using NDP Viewer (Hamamatsu, Japan) to
identify the lumen contour, fibrous tissue, lipid and hemorrhage, etc. The contours
of lumen and outer wall of each neovessel were carefully traced at 40× magnification.
About 100 neovessels were identified for each slide. All contours were exported and
processed using an in-house developed package in Matlab (MathWorks, USA). All components
were assumed to be non-linear hyper-elastic, piecewise homogeneous and incompressible
materials governed by the modified Mooney–Rivlin strain energy density function,
W = c
1(I
1 − 3) + D
1exp[D
2(I
1 − 3) − 1]where I
1 is the first strain invariant and c
1, D
1 and D
2 are material parameters, derived from earlier studies [24] with the following details:
vessel material: c
1 = 36.8 kPa, D
1 = 14.4 kPa, D
2 = 2; fibrous cap: c
1 = 73.6 kPa, D
1 = 28.8 kPa, D
2 = 2.5; lipid core: c
1 = 2 kPa, D
1 = 2 kPa, D
2 = 1.5: calcification, c
1 = 368 kPa, D
1 = 144 kPa, D
2 = 2.0; fresh IPH: c
1 = 1 kPa, D
1 = 1 kPa, D
2 = 0.25 and for chronic IPH: c
1 = 9 kPa, D
1 = 9 kPa, D
2 = 0.25. The blood pressure of each patient was used as the loading condition applying
on the plaque as a whole and the pressure in the neovessel was assumed to be 10 mmHg
(as it was not directly measurable). This value was chosen because it approximately
reflects blood pressure in the venous environment. However, our experimental conclusions
did not change when the value was lowered to 5 mmHg. Considering the small size of
an individual neovessel, a very fine mesh was used around the local region with about
0.5 μm on each element edge. Each model consists of over 100,000 elements. Maximum
principal stress (Stress-P1) and stretch (Stretch-P1) were computed using finite element
method (FEM) in ADINA8.6.1 (ADINA R&D, Inc., USA).
The region of interest (ROI) for each neovessel was defined as the region within four
times of the corresponding lumen area (The number could be changed to 2.5, 6 and 8
and the results and conclusions remained the same). The maximum value of Stress-P1
and Stretch-P1 within ROI was extracted from the simulation. The value at systole
and the difference across the cardiac cycle were used to quantify the critical mechanical
condition. The change of lumen area of the neovessel during the cardiac cycle was
also computed to quantify the deformation. The locations of red blood cells were recorded
to quantify their distribution. Therefore, the neovessels were divided into two groups
(without-RBC and with-RBC) depending on the presence of red blood cell within the
ROI. The association between this distribution and critical mechanical condition was
further analyzed.
The statistical analysis was performed in Instat3.06 (GraphPad Software Inc., USA).
A two-tailed Mann–Whitney test was used for the statistical analysis if the data did
not pass the normality test (Shapiro–Wilk test); otherwise, two-tailed student t test
was used. A significant difference was assumed with a p-value <0.05.
3
Results
In total, 379 neovessels were identified in four histological slides. Red blood cells
were found within the region of interest of 146 of them (38.5%). As it can be seen
from Fig. 1, neovessels appeared throughout the plaque structure and many were adjacent
to the lumen (Fig. 1A&B), some were located in the middle of the plaque (Fig. 1C)
surrounded by a cluster of red blood cells and some were located in the periphery
of the plaque (Fig. 1D) with various lumen sizes and wall thicknesses. The corresponding
band plot of Stretch-P1 was shown in Fig. 2. As depicted in the amplified thumbnails,
large deformations were found around the neovessel when it was close to the lumen
(Fig. 2A, B & C). Fig.3 visualizes the location-dependent mechanical parameters, stress
concentration at systole (Stress-P1; Fig.3A), stress variation during one cardiac
cycle (Diff-Stress-P1; Fig.3B), large local deformation at systole (Stretch-P1; Fig.3C)
and the stretch variation (Diff-Stretch-P1; Fig.3D), in the ROI of each neovessel.
These parameters decrease greatly when the neovessel is located away from the carotid
lumen.
The harsh mechanical environment around neovessels may be associated with the leak
of red blood cells, which were found around those neovessels that had undergone a
large deformation, shown in Fig. 4. Further analysis indicated that there was no significant
difference (p = 0.087) in terms of Stress-P1 at systole between the groups without
(without-RBC) and with (with-RBC) red blood cells (Table 1); however, during one cardiac
cycle, with-RBC underwent greater Stress-P1 variation (Diff-Stress-P1) than without-RBC
(p < 0.0001). The deformation of neovessels in with-RBC group at systole was about
8.9% which was much greater than the one in the without-RBC group (3.4%; p < 0.0001).
During one cardiac cycle, the stretch variation (Diff-Stretch-P1) of with-RBC was
about 2.82%, while the value of without-RBC was only 0.87% (p < 0.0001). Furthermore,
the lumen contour deformed (Diff-Area) much less in the without-RBC group than that
in the with-RBC group (0.565% vs. 2.024%; p < 0.0001).
4
Discussion
To our knowledge, this is the first study to quantify the mechanical conditions around
neovessels within atherosclerosis (Fig. 2). We highlight possible associations between
intraplaque hemorrhage and these mechanical conditions (Fig. 4 and Table 1). We found
first, that mechanical stress and stretch decreased significantly as the distance
between the neovessel and the main arterial lumen increased (Fig. 3). Second, those
neovessels with surrounding red blood cells, presumably evidence of fresh hemorrhage,
underwent much larger deformation at systole and stress and stretch variations during
one cardiac cycle than those without red blood cells close by (Table 1).
Several studies have shown a pathological effect of vessel stretch on the cellular
and genetic environment of the plaque. The large cycle deformation may impede endothelial
cell survival and tubulogenesis through the NAD(P)H subunit p22phox pathway [25].
Pathological stretch can dysregulate cytoskeletal gene expression, such as filamin
A [26], affecting cell attachment and encouraging programmed cell death [27] and therefore
preventing healing in the carotid plaque following acute events [28]. On a tissue
level, the risk of elevated strain/deformation on plaque destabilization has been
also recognized by various computational and clinical studies [28–30]. Although there
are likely several biological processes at work in the promotion of intraplaque hemorrhage,
here we suggest a possible contribution from the mechanical conditions around the
neovessel.
The association between alterations in mechanical stress and plaque hemorrhage was
suspected by Lusby et al. in early 1980s [31]. Recently, intraplaque hemorrhage has
been recognized as one trigger of plaque vulnerability [32]. Monitoring the development
of neovascularization within plaque might be important clinically. Non-invasive imaging
techniques [33] such as contrast-enhanced magnetic resonance imaging (MRI) [34] and
microbubble-targeted ultrasound [35], have been developed to quantify it. In vivo
high-resolution elastography approaches, such as intravascular ultrasound [36], optical
coherence tomography [37] and B-mode ultrasound elastography [38], have shown the
capacity in quantifying the local tissues deformation in the atherosclerotic plaque.
Further development of these techniques could lead to a more accurate plaque vulnerability
assessment by integrating plaque compositional features and critical mechanical conditions.
Despite the interesting findings reported in our paper, some limitations exist: (1)
the small number of plaques analysed (n = 4) means the pathological conclusions, such
as the distribution pattern of neovessels and extravasated red blood cells ought to
be repeated. However, this limitation does not completely negate our conclusion that
large deformations around the neovessel might promote hemorrhage, because those four
plaques yielded approximately 400 neovessels for analysis; (2) the origin of neovessel
could be various. It may be from the vasa vasorum in the adventitia or due to the
thrombus healing [39]. They are not differentiated in this study; another consideration
is that (3) this study was a two-dimensional simulation, and the effect of the blood
flow was not taken into account in this model. Since the neovessels were located within
the plaque structure, high velocity blood flow in the main arterial lumen should have
minimal impact on the prediction of critical mechanical conditions around the neovessel;
lastly, (4) despite rigorous attention to detail, some distortion of the plaque samples
may have occurred during processing for histopathological examination. Our segmentation,
therefore might not represent the true in vivo configuration of the plaque.
In conclusion, we suggest that there are large degrees of deformation and high variation
in the mechanical loading around plaque neovessels during the cardiac cycle. These
factors might damage the vessel walls and, in conjunction with inflammatory and other
factors, promote intraplaque hemorrhage.
Conflict of interest
None.