(Circulation. 1997;96:3880-3887.)
© 1997 American Heart Association, Inc.
Articles |
From the Medizinische Klinik rechts der Isar and Deutsches Herzzentrum (A.S., A.K., S.E., H.S., J.D.) Institut für Medizinische Statistik und Epidemiologie (F.D., M.W., K.U.), Technische Universität München, Munich, Germany.
| Abstract |
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Methods and Results Quantitative angiographic evaluation was performed in 1084 lesions of 1084 patients before, immediately after, and 6 months after successful Palmaz-Schatz stent placement; this represented 80.4% of patients eligible for follow-up angiography. Principal end points of the analysis were angiographic indexes of restenosis at 6 months. Twenty-two lesions that became totally occluded at follow-up were excluded from most parts of the analysis. Diameter stenosis, minimal luminal diameter (MLD), and lumen loss at 6 months did not follow a normal pattern; the bimodal pattern was demonstrated through deconvolution that yielded two separate normal components delineating two lesion populations, which developed distinctively different degrees of lumen renarrowing. The first and larger subgroup of lesions, which was less prone to restenosis, was centered around a mean value of 27% for diameter stenosis and 2.19 mm for MLD, whereas the second subgroup, with a greater tendency for restenosis, was situated around a mean value of 68% for diameter stenosis and 0.76 mm for MLD. The intersection point between the two theoretical normal distribution components was 53.5% for diameter stenosis and 1.09 mm for MLD at follow-up.
Conclusions Frequency-distribution curves of angiographic indexes of restenosis after coronary stent placement have a bimodal pattern, suggesting the existence of two distinct populations with different propensity to restenosis. These findings may encourage future efforts for the timely identification of the subset with a higher risk as the target of specific antirestenotic strategies.
Key Words: stents coronary disease restenosis angioplasty
| Introduction |
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50%
diameter stenosis at follow-up. Nevertheless, various
investigators have continued in their attempts to identify clinical,
lesional, and procedural factors to characterize a subgroup of patients
at higher risk for restenosis.410 The
continuous view of restenosis has been challenged by a study
that demonstrated a bimodal distribution of diameter stenosis
at late follow-up and suggested that restenosis may be a
distinct pathophysiological process that occurs in
some lesions but not in others.11 Subsequently,
it was recognized that bimodal distribution of quantitative
angiographic measures of restenosis could be present but
difficult to discern due to the imprecision of the quantitative systems
and the relatively low frequency of
restenosis.12 These findings were
recently confirmed with a detailed analysis of the angiographic
follow-up outcome in >3500 de novo lesions after conventional
angioplasty.13 Although the distribution curves
did not appear to be bimodal at first glance, curve deconvolution
identified two distinct groups of lesions: one with and one without
overall late luminal renarrowing.13 The
generalization of this model to a broader spectrum of lesions and to
other coronary interventional devices may provide new insights
into the process of restenosis and may help in better defining
the target of future efforts for the reduction of
restenosis. The aim of this study was to assess the distribution features of angiographic restenosis indexes at 6 months after coronary stent implantation.
| Methods |
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Stent Placement and Poststenting Treatment
The stent implantation technique has been described
previously.14 All patients received 15 000 U
heparin and 500 mg aspirin IV before PTCA. Short 7-mm or articulated
15-mm Palmaz-Schatz stents (Johnson & Johnson) were delivered under
fluoroscopic guidance after having been hand-crimped on conventional
angioplasty balloons. Balloon size and pressure were left to the
operator's discretion. Multiple stents (more than one standard or two
short stents) were deployed if necessary to cover the full extent of
the target lesion or of the dissection if it was incurred. The short
stent (7 mm) was used as a unit of analysis (one standard,
articulated 15-mm stent was counted as 2 stent units). Adequacy of the
final result was based solely on the angiographic assessment.
After sheath removal and pressure bandage application, heparin infusion was started in all patients and continued for 12 hours. All patients were administered 100 mg aspirin PO BID throughout the study. In the first half of the study period, patients were treated with an anticoagulation regimen consisting of heparin for 5 to 10 days and phenprocoumon (Marcumar; Hoffman-La Roche) for 4 to 6 weeks (397 patients), whereas most of the patients within the last 2 years were treated with combined antiplatelet therapy with 250 mg ticlopidine BID in addition to aspirin (687 patients).
Coronary Angiographic Evaluation
Qualitative angiographic assessment was done by the operator
during or immediately after the procedure. The angiogram was assessed
for the presence of vessel occlusion before PTCA or stenting and
dissections15 immediately before stent placement.
The vessel was considered occluded in the presence of TIMI flow grade 0
or 1. An occlusion was considered recent in the setting of acute
myocardial infarction or if it occurred as a complication of the PTCA
procedure preceding stent implantation; otherwise, it was considered
chronic.
Quantitative angiographic analysis was made by operators not involved in the intervention with the use of the automated edge-detection system CMS (Medis Medical Imaging Systems). The contrast-filled nontapered catheter tip was used for calibration. MLD, RD, percent diameter stenosis, and diameter of the maximally inflated balloon were obtained with this analysis system. The measurements were done for the angiogram before and immediately after stenting and for that recorded at follow-up. Care was taken to choose identical projections of the target lesion for all assessed angiograms. Balloon-to-vessel ratio was calculated as diameter of the inflated balloon divided by the coronary RD. Late loss was computed as the difference between the final poststenting MLD and the MLD at follow-up angiography. We recently demonstrated for this system an accuracy of -0.006 mm and a precision of 0.075 mm,16 which are very similar to the values of Reiber et al.17
| Data Analysis |
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Data are expressed as percentages for discrete variables and as mean±SD for continuous variables. The frequency distribution of the angiographic variables was described through parameters such as mean, median, mode, skewness, and kurtosis and tested for normality by means of the Kolmogorov-Smirnov goodness-of-fit test. For graphical presentation histograms, hanging histobars and frequency-distribution curves are used. For distribution curves with bimodal appearance and a marked deviation from the theoretical normal curve, deconvolution in two best-fitted normally distributed curves was performed with the EM algorithm19 with the S-Plus statistical package (S-Plus Version 3.3, StaSci Division, MathSoft). The stability of the findings presented was ensured through the use of bootstrapping with 1000 replications of the original data and performance of the deconvolution with the mean values obtained from the 1000 random samplings for each parameter in study.20 As a result, the mean, SD, and proportion of the population belonging to each of the estimated component normal distributions were obtained and used to construct the combined mixture distribution. The mixture distribution was tested for equality against the respective observed frequency distribution by means of the Kolmogorov-Smirnov test. The bootstrapping technique also allowed the calculation of the intersection point between the two component normal distribution curves, together with its nonparametric CI. Statistical significance was accepted for all values of P<.05.
Results
The Table
describes the clinical characteristics of the patients
included in this study, together with the angiographic and procedural
data. A relevant proportion of the patients presented with
high-risk features such as acute myocardial infarction (16.8%),
unstable angina pectoris (34.6%), and multivessel disease (74.6%).
Most of the lesions were located in the left anterior descending
coronary artery. The intervention reduced diameter
stenosis from 76.6±15.1% before stenting to 5.4±10.5%
immediately after stenting. This was achieved with a mean
balloon-to-vessel ratio of 1.07±0.14 and deployment of 2.56±1.50
stent units (ie, 7-mm stent segments). At 6-month follow-up, the
population presented with a diameter stenosis of
37.7±23.2% and a restenosis rate (diameter stenosis
of
50%) of 25.6%. Fig 1
presents
the histograms for diameter stenosis and MLD both immediately
after the intervention and at follow-up for all 1084 lesions. Although
both diameter stenosis and MLD immediately after stenting
approximated a normal distribution (Fig 1A
and 1B
), a different shape
is present in the histograms of diameter stenosis and MLD
at follow-up (Fig 1C
and 1D
). Visual assessment of the latter
histograms identifies three peaks. For diameter stenosis at
follow-up (Fig 1C
), the first peak is centered around a 30% value, the
second is centered around a 70% value, and the last peak corresponds
exclusively to the 22 totally occluded lesions at control angiography.
For MLD at follow-up (Fig 1D
), the histogram reveals the reciprocal
pattern of that for diameter stenosis. The small group of total
occlusions at follow-up was analyzed separately: 41% of these
lesions had been occluded before the intervention as well, increasing
the likelihood that reocclusion may have occurred early and
asymptomatically. Because thrombosis, a quite different
mechanism than restenosis, cannot be ruled out with certainty
as the cause of these occlusions and given the small number of these
lesions (2% of the total population), we decided to exclude them from
further analysis. The following analyses were based on
all the lesions without total occlusions at follow-up (ie, 1062
lesions). The distributions for MLD and diameter stenosis
before the intervention were significantly skewed due to the high
proportion of total occlusions. This is easily deducible from a mode of
0 mm for MLD and 100% for diameter stenosis. These
distributions returned to normal, however, after logarithmic
transformation for MLD and exponential transformation for diameter
stenosis. The analysis was then concentrated on the
angiographic parameters at follow-up. The distribution of
RD showed a unimodal shape, which was not significantly different from
the normal distribution (Fig 2
). A
bimodal pattern is evident from the frequency-distribution curves of
both diameter stenosis (Fig 3A
)
and MLD (Fig 4A
) at follow-up, with a
significant deviation from the hypothetical normal distribution as
demonstrated by the hanging histobars on Figs 3B
and 4B
, respectively.
The density estimate for diameter stenosis is also shown in Fig 3C
, with the two-component normal distributions obtained as a result of
its deconvolution. The EM algorithm identified two normally distributed
curves as components of the observed distribution curve for diameter
stenosis at follow-up. The first component corresponds to a
larger subgroup representing 78% (CI, 63% to 84%) of all
lesions and including lesions with a diameter stenosis centered
around a mean value of 27±13.5%. The second component corresponds to
a smaller subgroup, 22% (CI, 16% to 37%) of all lesions, centered
around a mean diameter stenosis of 68±13%. As indicated by
Fig 3C
, the two components intersect at the value of 53.5%, defining a
cutoff value for the division of the two lesion populations. The two
normal distribution curves were then combined to form a single
distribution (Fig 3C
) representing the theoretical
frequency distribution for the entire population as estimated with the
EM algorithm. Apart from the striking visual resemblance of this curve
to the observed frequency-distribution curve, the Kolmogorov-Smirnov
goodness-of-fit test demonstrated that the two distributions were not
statistically different (P=.20). The stability of the
obtained intersection point of 53.5% for diameter stenosis was
assessed by calculating its 95% CI through the use of 1000 Monte Carlo
bootstrap replications of the data. The 95% CI was found to be between
42.5% and 60.5% (Fig 3C
). Fig 3D
depicts the distribution of the
replicated intersection points and the estimated CI.
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A similar pattern was verified for MLD at follow-up angiography. The
density estimate is shown on Fig 4C
with the two-component normal
distributions obtained as a result of its deconvolution by means of the
EM algorithm. Fifteen percent (CI, 11% to 19%) of the lesions formed
the first subgroup with a mean MLD of 0.76±0.30 mm. In the second
and larger subgroup, 85% (CI, 81% to 89%) of the population was
composed of lesions with a mean MLD of 2.19±0.63 mm. As
illustrated in Fig 4C
, the intersection point of these two curves
corresponds to an MLD of 1.09 mm, which was considered the cutoff
value dividing the two lesion populations. The mixture distribution
produced by the combination of the two normal distribution components
and the smoothed observed distribution fit well for a wide range of
values, with no statistical difference between them (P=.19,
Kolmogorov-Smirnov test). Again, Fig 4C
and 4D
presents the results
of 1000 bootstrap replications for the assessment of the stability of
the intersection point of 1.09 mm for MLD. The 95% CI provided by
this analysis lays between 0.97 and 1.20 mm (Fig 4C
), and
the distribution of intersection points is displayed in Fig 4D
.
The analysis of frequency-distribution curves for diameter
stenosis and MLD at follow-up identified two distinct subsets
of lesions. We analyzed the interrelation of the subgroups
identified by these two parameters. An MLD of
1.09
mm was associated with a diameter stenosis of
53.5% in
94.1% of the cases, whereas an MLD of <1.09 mm was followed by a
diameter stenosis of >53.5% in 97.1% of the cases, resulting
in an overall accuracy of 94.5%.
The same type of analysis was performed on the
frequency-density curve of late lumen loss (Fig 5A
). It showed a markedly nonnormal
distribution pattern as demonstrated by the hanging histobars on Fig 5B
, even after logarithmic transformation (P=.002,
Kolmogorov-Smirnov test for normality). After deconvolution,
two-component normal distributions were obtained with centers around
0.51±0.32 and 1.47±0.66 mm, respectively (Fig 5C
), with 55%
(CI, 42% to 64%) of the lesions belonging to the first component. The
mean intersection point of the two-component normal distributions as
estimated with the bootstrap replications was situated at the value of
0.93 mm, with a CI between 0.76 and 1.18 mm (Fig 5D
). The
mixture distribution obtained from the addition of the two-component
normal distributions demonstrated no statistically significant
difference from the observed distribution of the late loss
parameter (P=.09, Kolmogorov-Smirnov test).
|
Additional analyses were made to exclude the possibility that the bimodal pattern described above may have been the effect of the distortion produced by certain characteristics of this study population. Frequency-distribution curves for diameter stenosis and MLD at follow-up were reconstructed after removal of the lesions that were occluded at the time of the intervention and the same bimodal pattern as before was reproduced.
| Discussion |
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The major finding of this study derived from the bimodal shape of the
distribution curves for diameter stenosis, MLD, and lumen loss
at 6-month follow-up after stenting is the suggestion of the existence
of two different lesion populationsone that is less prone to
restenosis and one with a high likelihood of
restenosis. Our study provides an important extension of
similar findings after PTCA, due to at least two advantages. First,
patients were not excluded due to patient and lesion risk profiles.
Baseline patient and lesion characteristics indicate that stenting was
often carried out in a high-risk setting (Table
). Second, previous
intravascular ultrasound imaging have suggested that
neointimal hyperplasia plays an exclusive role in the
restenosis after stenting23; therefore,
our bimodal pattern of the distribution curve may in fact reflect two
subgroup of lesions with different propensities to hyperplasia. In
combining the previous results for PTCA11,13 with
our results, the bimodal pattern of frequency-distribution curves for
restenosis indexes may actually be generalized for all the
lesions most commonly treated and for the coronary
interventions most commonly used, such as PTCA and stenting.
An important finding of this study is that the observed distribution
curves for all three measures of restenosis (ie, diameter
stenosis, MLD, and late loss at 6-month follow-up) did not
follow a normal pattern (Figs 3 through 5![]()
![]()
). The deconvolution in
two-component normal distributions was possible for all three curves. A
finding that deserves comment is that deconvolution of the
frequency-distribution curve for late lumen loss estimated that the
proportion of lesions belonging to the curve component with more
pronounced lumen renarrowing was almost the double that estimated for
diameter stenosis. The discrepancy between the incidence of
restenosis as assessed by diameter stenosis and late
lumen lossderived indexes has been accentuated after
stenting.24 Because of the major acute gain
achieved with stenting, more lumen loss can be accommodated afterward
without leading to a significant increase in diameter
stenosis.
The bimodal pattern in the distribution of diameter stenosis
may also renew the interest in the frequently criticized categorical
approach for the assessment of restenosis. There has been much
debate on the optimal binary definition of
restenosis.12,25 The most commonly used
criterion, that of a
50% diameter stenosis at follow-up, has
more of a historical than physiological
basis.26 We found that the intersection point of
the estimated distribution curves for the two populations of lesions
corresponds to a value of 53.5% diameter stenosis. This cutoff
value was well validated through the bootstrapping technique and is
very close to the traditional restenosis criterion of 50%.
This may provide the most frequently used criterion of
restenosis with a theoretical basis.
Bootstrapping was used throughout the analysis. It is a new technique for the assessment of the stability of statistical estimators and the construction of nonparametric CIs. We used 1000 replications of the original data of our end points of analysis (ie, diameter stenosis, MLD, and late lumen loss) to then draw at random a large number of bootstrap samples, each the same size as the original. The main advantage of such a procedure is that the sampling distribution is not mathematically estimated but empirically reconstructed based on all the original characteristics of the data. These advantages strengthen the validity of the results of the present study. Additional analyses were made to exclude possible sources of bias. More than 10% of the lesions analyzed in this report were chronic occlusions or acute occlusions as the cause of acute myocardial infarction. This factor may have conveyed a particular risk for restenosis and may have distorted the distribution curve of restenosis indexes. This possibility was excluded because the curve shape was maintained even after confinement of the analysis to lesions that were initially patent. The quantitative angiographic system may represent another source of bias due to a systematic imprecision. However, we used a well validated system,16,17 and it is highly unlikely for it to be responsible for the introduction of an artificial second peak in the curve. A systematic error, as such, would distort all serial measurements, which did not occur in our analysis. Neither before nor immediately after the intervention did the distribution curves of diameter stenosis and MLD have a bimodal pattern. Moreover, the RD at follow-up was normally distributed.
Conclusions
This study demonstrates that angiographic indexes of
restenosis at 6-month follow-up after coronary stent
placement present frequency distributions with a bimodal pattern
suggesting the existence of two distinct populations with different
propensities to restenosis. These findings, which parallel
those recently reported with PTCA, contradict the long-standing view
that restenosis is a continuous process that may affect at
random all patients after coronary interventions. The findings
may provide a new basis for future efforts aimed at identifying the
subset at higher risk, which will become the target of specific
antirestenotic strategies.
| Selected Abbreviations and Acronyms |
|---|
|
| Footnotes |
|---|
Received May 21, 1997; revision received August 14, 1997; accepted August 22, 1997.
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A. Kastrati, W. Koch, P. B. Berger, J. Mehilli, K. Stephenson, F.-J. Neumann, N. von Beckerath, C. Bottiger, G. W. Duff, and A. Schomig Protective role against restenosis from an interleukin-1 receptor antagonist gene polymorphism in patients treated with coronary stenting J. Am. Coll. Cardiol., December 1, 2000; 36(7): 2168 - 2173. [Abstract] [Full Text] [PDF] |
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A. Kastrati, A. Schomig, J. Dirschinger, J. Mehilli, F. Dotzer, N. von Welser, and F.-J. Neumann A Randomized Trial Comparing Stenting With Balloon Angioplasty in Small Vessels in Patients With Symptomatic Coronary Artery Disease Circulation, November 21, 2000; 102(21): 2593 - 2598. [Abstract] [Full Text] [PDF] |
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M. Gyongyosi, P. Yang, A. Khorsand, D. Glogar, on behalf of the Austrian Wiktor Stent Study Group, and European Paragon Stent Investigators Longitudinal straightening effect of stents is an additional predictor for major adverse cardiac events J. Am. Coll. Cardiol., May 1, 2000; 35(6): 1580 - 1589. [Abstract] [Full Text] [PDF] |
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A. Buffon, G. Liuzzo, L. M. Biasucci, P. Pasqualetti, V. Ramazzotti, A. G. Rebuzzi, F. Crea, and A. Maseri Preprocedural serum levels of C-reactive protein predict early complications and late restenosis after coronary angioplasty J. Am. Coll. Cardiol., November 1, 1999; 34(5): 1512 - 1521. [Abstract] [Full Text] [PDF] |
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A. Kastrati, A. Schomig, M. Seyfarth, W. Koch, S. Elezi, C. Bottiger, J. Mehilli, K. Schomig, and N. von Beckerath PlA Polymorphism of Platelet Glycoprotein IIIa and Risk of Restenosis After Coronary Stent Placement Circulation, March 2, 1999; 99(8): 1005 - 1010. [Abstract] [Full Text] [PDF] |
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A. Kastrati, A. Schomig, S. Elezi, H. Schuhlen, M. Wilhelm, and J. Dirschinger Interlesion Dependence of the Risk for Restenosis in Patients With Coronary Stent Placement in Multiple Lesions Circulation, June 23, 1998; 97(24): 2396 - 2401. [Abstract] [Full Text] [PDF] |
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