(Circulation. 1996;93:246-252.)
© 1996 American Heart Association, Inc.
Articles |
From the Laboratoire de Physiologie-GIP Exercice (J.C.B., F.R., A.G.), Université de Saint-Etienne, France; Département de Médecine Interne (J.M.G.), Hopital Cantonal Universitaire de Genève, Switzerland; Département de Statistiques (P.M., A.A.), Université Joseph Fourier, Grenoble, France; UCPX (E.P.), Grenoble, France; Service de Cardiologie (J.E.W.), Hopital Universitaire de Dijon, France; Clinique du Tonkin (C.W.), Villeurbanne, France; Hopital Universitaire de Service de Cardiologie (I.K.), Saint-Etienne, France; Service de Cardiologie (C.C.), Hopital de Macon, France; and Laboratoire de Physiologie-GIP Exercice (J.R.L.), Université Lyon I, France.
| Abstract |
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Methods and Results We evaluated 236 consecutive male patients without previous myocardial infarction who had been referred for the diagnosis of coronary artery disease. None of the patients had cardiomyopathy, severe cardiac heart failure, or valvular heart disease. Blood lactate concentration at maximal exercise was measured as well as other classic variables. Correlations between variables and coronary status as assessed by coronary arteriography were described using receiver operating characteristic (ROC) curves and logistic regression analysis. The first four most powerful variables (lactate level, maximal power output, exercise duration, and percentage of maximal predicted heart rate), which are directly representative of the global functional capacity, showed values of 0.777, 0.775, 0.760, and 0.740, respectively, by ROC curve analysis. Mean±SD blood lactate level at peak exercise reached 7.68±2.70 mmol/L in the 153 diseased and 10.56±2.75 mmol/L in the 83 nondiseased patients (P<.0001). After adjustment for other variables, blood lactate level remained a significant predictor of coronary artery disease by logistic regression analysis (adjusted odds ratio, 1.2; confidence interval, 1.04 to 1.4).
Conclusions Global muscle fatigue as assessed by lactate levels in the blood at maximal exercise appears to be a powerful distinguisher of diseased and nondiseased coronary status.
Key Words: coronary disease ischemia diagnosis tests exercise
| Introduction |
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These controversies can be explained by the simultaneous analysis of several factors. Bayesian analysis has been used to determine the probability of disease by exercise stress testing. However, according to the exercise protocol used, the most determining variables are not always the same, the prevalence of the disease varies among centers and modifies the decision weight attached to a given parameter, and the equations are not easy to use and very often are not implemented in the diagnosis processing.
The most determining variable isolated by Ellestad,5 exercise duration, has been considered to be a good indicator of the overall exercise capacity. Thus, we investigated the discriminant capacity of another global muscular exhaustion parameter, the blood lactate level reached at maximal exercise capacity.
Most often, mathematical analysis is oriented toward building decision trees based on multivariate analysis. As areas under receiver operating characteristic (ROC) curves represent the magnitude of the information given by the most significant variables,6 we tried to investigate further, extracting from the ROC curve analysis information allowing better characterization of subgroups of patients and looking for combined variables that demonstrated very high sensitivity or specificity.
| Methods |
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Patients were referred for suspicion of CAD based on suggestive symptoms. In the absence of contraindication, a stress test was conducted systematically before any invasive procedure. Cardiac catheterization was then performed in all patients with a positive test result and in the cases specifically referred for cardiac catheterization, regardless of the exercise test result. The two procedures were performed within an interval of less than 3 months for each patient. Thus, 146 cardiac catheterizations (62%) were performed in patients with a positive exercise test and 90 were performed (38%) in patients with a negative exercise test.
Stress Testing
All patients who were enrolled in the study
underwent stress
testing according to a continuous maximal graded symptom-limited
protocol with the use of a bicycle ergometer, beginning at 30 to 60 W
with 20- to 30-W increments each 3 minutes to a positive test or
exhaustion. A 12-lead ECG was recorded on paper every 3 minutes
during the test and the recovery period; symptoms were noted, and blood
pressure was recorded at the same time intervals. End points for
the test were reaching a positive stress test criteria or the
development of exertion-limiting symptoms. Positive stress test
criteria were horizontal or downsloping ST-segment depression of
1.0
mm or upsloping ST-segment depression of
1.5 mm at 60 milliseconds
after the J point. Predictive maximal heart rate was calculated using
the formula [210-(0.65xage)].7 The tests
were always
conducted after an interruption of medical treatment in accordance with
specific drug half-lives. Stress test duration was planned to last
10 minutes; this was controlled by the cardiologist in charge of the
test, using both the watts programmed at the beginning of the test and
the increment.
Blood Lactate Level
Capillary blood samples were taken using
a finger stick within 3
to 5 minutes after the end of the test. The samples were diluted in an
hemolizing solution and stored at room temperature. The measurements
were carried out within 10 days with a lactate analyzer (LA 640
Kontron, Roche Biomedics, F. Hoffman, La Roche et Cie SA). The methods
of sampling, storage, and analysis have been previously
validated.8
Coronary Arteriography
Selective coronary arteriography was
performed in
multiple projections using cranial and caudal angulations. A
significant coronary stenosis was defined as
70%
luminal diameter narrowing of at least one major coronary
artery. All stenosis measurements were made twice with the use
of calipers by the same operator who was blinded to the results of his
first measurements. The coefficient of variability was <5%.
The reference was the result of the coronary arteriography: a patient demonstrating a significant coronary artery stenosis was considered to be diseased; in the opposite situation, he was declared to be nondiseased.
Statistical Analysis
Statistical analysis was performed to
evaluate the
ability of each variable level to discriminate nondiseased from
diseased subjects. Thus, the dependent variable was the disease
status. The independent variables analyzed were age,
weight, maximal lactate level at the end of the exercise, test
duration, maximal power output (W), maximal heart rate, percentage of
maximal predicted heart rate, maximal systolic and
diastolic blood pressures, maximal heart rate multiplied by
maximal systolic blood pressure, angina, maximal ST depression,
and work capacity index (maximal power output divided by the
weight).
ROC curve analysis was used,6 9 with
calculations
of the areas under the ROC curves represented by the letter
W. This quantity represents the probability for a randomly
chosen subject free of disease to demonstrate a variable level
higher than the level observed among randomly chosen diseased subjects.
A W value of 0.5 means the variable level distributions are similar
in both populations; conversely, a W value of 1.0 means that the two
populations' variable distributions do not overlap. The ROC curve
also allows determination of variable thresholds according to the
target sensitivity or specificity. A different test, a
2 analysis, was used to test the
dependence between angina during the test, a nominal variable, and
disease.
Logistic regression was also used to analyze the data via a simple logistic regression of the disease status versus each of the covariates to verify the ROC curve analysis previously performed. Multiple logistic regression analysis was then used to evaluate the strength of the association of each variable with diseased status, after adjustment for the other variables.
A first decision tree was built using the discriminant variables as indicated by the ROC curves and the logistic regression analysis. The first variable used was the one determining better separation between diseased and nondiseased subjects. The other variables were then introduced according to a descending order of discriminative capacity. For each continuous variable, the cutoff value acting as a separator to make the decision was chosen as that offering the smallest number of classification errors, ie, that which minimizes the sum of false-positive and false-negative results. A second decision tree, called operational, was built with the intention to select the combinations of the value thresholds of the variables leading to the best possible identification of nondiseased and diseased populations. This allowed isolation of homogeneous nondiseased or diseased populations. It was made by identifying the common characteristics of groups of nondiseased or diseased populations. This exploration was made by progressively increasing or decreasing by increments the thresholds of the variables until a given population was isolated. Only the variables identified as discriminant were included in this particular screening process. Every variable combination was tested to characterize populations of nondiseased and diseased subjects.
Data were analyzed with STATVIEW and JMP (SAS Institute). Differences were considered significant at P<.05. Values are expressed as mean with a 95% standard deviation (mean±SD).
| Results |
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Mean±SD blood lactate level at peak exercise (Fig 1
)
reached 7.68±2.70 mmol/L in the 153 patients
with CAD and 10.56±2.75 mmol/L in the 83 patients without CAD
(P<.0001).
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An ROC curve (continuous data) was built for continuous variables.
They were classified according to their ability to distinguish diseased
from nondiseased patients. In Table 1
, the obtained W
values for each continuous variable are shown and listed by
descending order. The variables with significant W values are
lactate level, maximal power output, exercise duration, percentage of
maximal predicted heart rate, maximal ST depression, age, and double
product. The statistical significance of lactate level is not
different from that of maximal power output, exercise duration, or
percentage of maximal predicted heart rate by ROC curve
analysis; it is significantly different from that for maximum
ST depression. For each continuous variable, the thresholds giving
a chosen sensitivity or specificity were calculated and listed in Table
2
.
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Angina during exercise (nominal data) and disease status are dependent
(
2, P<.0001). The sensitivity of the
variable angina during exercise is 56% and specificity is
87%.
The five most discriminant continuous variables in Table 1
did not
significantly correlate with an increased severity of CAD in terms of
the number of diseased vessels; however, their values were
significantly different in diseased subjects (P<.0001) than
the corresponding values observed in nondiseased subjects (Table
3
).
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A separate simple logistic regression analysis of the disease
status versus each of the covariates was performed to verify the ROC
curve analysis previously performed and to select a reasonable
subset of explanatory variables for further investigation without
too much power being lost in the statistical procedures. Maximum
likelihood estimates were obtained for each of the important
explanatory covariates (Table 4
). These results
confirmed the ROC analysis. The most significant variables
retained for further analysis by regression trees and
classification are illustrated in Tables 1
and
4
.
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With the use of a multiple logistic regression analysis, only
two variables appeared to be independently and significantly
associated with disease status: the level of lactate at peak exercise
and the presence of angina during the stress test (Table 4
),
indicating
that all other variables are expressed through these two and thus
reinforcing the variable lactate level as a major discriminant.
After adjustment for all other variables, such as maximal power
output, exercise duration, maximal predicted heart rate, maximal
systolic and diastolic blood pressures, maximal ST
depression, occurrence of angina, age, and weight, lactate level
remained a significant predictor of CAD status (adjusted odds
ratio, 1.2; confidence interval, 1.04 to 1.4). The other significant
independent predictor of CAD was angina during the test (adjusted odds
ratio, 2.5; confidence interval, 1.6 to 3.9).
The most significant variables from the ROC curves allowed us to
build a decision tree with the first eight variables of Table
1
.
Tree-specific thresholds were calculated for each of these
variables (Fig 2
). The first variable was
lactate, with a threshold found at 11.0 mmol/L. The tree's expansion
was limited by the number of patients and left 46 patients undetected
(30.06% of diseased patients). The positive and negative predictive
values were 90.7% and 80.4%, respectively.
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Thus, we used a combination of several variables from the ROC
curves with specific threshold values presenting a strong negative
predictive value and a high sensitivity to build the operational tree;
they are illustrated in Fig 3
. The combinations
described are always headed by the threshold of lactate value because
this variable was the only one always present as discriminant.
For a high negative predictive value (96%), a lactate level as high as
15 mmol is sufficient on its own; when this value is lower, other
variable thresholds have to be progressively introduced to keep the
negative predictive value sufficiently high. It is not surprising that
angina is the next variable, followed by maximal power output and
percentage of maximal predicted heart rate. For a high positive
predictive value (97%), lactate level alone is sufficient when below
5.8 mmol. For lactate values above 5.8 mmol, angina and percentage of
maximal predicted heart rate have to be added. The overall negative
predictive value reaches 96%, and the sensitivity is 99% (82% to
99%). Only
40% of the patients were identified by these
combinations. This tree illustrates a simple but fundamental
factthe variation of the predictive weight of a particular factor
in a given set of predictive factors with exercise intensity. However,
calculation of the predictive weight of each predictive variable,
for a given lactate level, was not possible due to the limited number
of patients involved.
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In a separate analysis of the predictive value of the variable ST-segment depression alone, stress tests were found to be positive because of ST-segment depression in 150 patients and negative in 86. Among these 150 patients, 112 had the disease. Thus, the sensitivity of ST-segment depression alone was 73.8% and the specificity was 55%.
| Discussion |
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The intent to use maximal lactate level as a marker for fitness was reinforced by the observation of its interest when evaluating sportsmen. The ability of maximal lactate level to predict the performance of athletes has been clearly outlined.11 12 13 Also, exercise limitation of diseased patients, eg, as in chronic obstructive pulmonary disease, is often correlated with a limitation in cardiac output adaptation.14 Although aware of its variability, we chose to measure lactate because its measurement is very easy to perform with automatic devices, it can be performed within seconds, and the procedure is inexpensive.
In the population we investigated, lactate level at peak exercise
clearly appeared to be a potent discriminant factor by ROC curve
analysis. The importance of blood lactate level compared with
other variables was underlined by the result of the multiple
logistic regression analysis, indicating that this variable
presents a major discriminant power and that it is independently
associated with disease status (adjusted odds ratio, 1.2; confidence
interval, 1.04 to 1.4). Two facts explain why the increase in blood
lactate was limited in the presence of CAD, in the absence of any
functional impairment. First, exercise was stopped when there was any
evidence of a positive stress test, limiting the metabolic
synthesis of lactate. Second, patients with severe ischemic
symptoms stopped the test on their own with the same consequences on
blood lactate level. However, the variable lactate does not allow
separation of diseased patients into subgroups with different disease
severity, ie, one-, two-, or three-vessel disease. Also, the large
standard deviations of lactate values in the diseased and nondiseased
populations are responsible for an important overlap. This overlap
reinforces the need for a multivariate approach; this
is illustrated in Fig 3
, in which it can be seen that maximal
exercise
intensity expressed by lactate level modifies the relative weight of
each predictor in a given set of predictive variables according to
the level of the lactate value. At both extremes, ie, maximal and
minimal levels, lactate value carries by itself the entire weight of
the predictive power, whereas for intermediate values, this weight is
shared with other variables.
Angina was analyzed separately from continuous variables. However, the logistic regression analysis shows the importance of this symptom during the test as an independent predictor of CAD (adjusted odds ratio, 2.5; confidence interval, 1.6 to 3.9). This further underlines the need to use decisional trees to interpret stress testing for CAD detection.
All patients were free of cardiomyopathy, severe cardiac heart failure, and valvular heart disease. The exercise limitations introduced by these diseases would have altered the interpretation of lactate values at maximal exercise for CAD detection, introducing low values without clear association with CAD. The patients were also free of previous myocardial infarction, which would have required a more specific test to assess the presence of residual myocardial ischemia, such as a thallium scintigraphy.
With these limitations, these results underline the importance of global performance as an indicator of the presence or absence of CAD. They are in accordance with the results of Fortini,10 who found that maximal oxygen consumption was a very good determinant of CAD; however, these authors did not have reference coronary angiograms. Our results are also in accordance with Ellestad's findings.5 The two variables that we added, compared with their list, were lactate level at peak exercise and maximal power output. These two variables are ranked as first and second, respectively, by ROC curve analysis. Among other variables that have commonly been examined, we found nearly the same hierachy as Ellestad for the most determinant ones: percentage of maximal predicted heart rate, ST depression, and age. Regarding ST depression, it must be underlined that stress tests were interrupted when a patient demonstrated a significant ST depression; thus, the statistical significance of ST depression is lower than if the patient had been asked to exercise 3 or 4 minutes longer; this strategy would probably have decreased the predictive value of the lactate level. For Ellestad, the ST-segment variable was less discriminant than duration of exercise and percentage of maximal predicted heart rate. We thus confirm these data and add that it is also less precise than lactate and maximal power output.4
One of the variables most frequently used to assess exercise intensity is heart rate. We chose a target heart rate calculated by the formula [210-(agex0.65)] as it has been considered to be more appropriate for people older than age 65 compared with the classic formula (220-age), without modifying the calculated target heart rate for younger people.7 When compared with lactate level, heart rate did not have an equivalent predictive power. This difference in predictive power can be explained by the fact that at maximal exercise intensity, heart rate reaches an asymptote and is not modified further by one or more exercise stages, which gives to the values beyond 85% of maximal predicted heart rate too limited a scale to accurately reflect the possible large variations in exercise intensity; on the contrary, lactate level does not vary much at low-intensity exercise but increases the most at the last stages of maximal exercise when one is close to maximal power output. Even when considering that lactate level is highly variable, its large increase at the end of a maximal exercise makes it able to separate different exercise intensities. Futhermore, the predicted maximal heart rate is far from being perfectly fitted to a curve, and in our population, the maximum reached by the nondiseased subjects differed from the above formula by 10.7%. It could be inferred that heart rate should be a better separator at the lowest exercise intensities, where lactate level does not show large variations, whereas lactate level would become a better discriminant factor at higher exercise intensities, when subjects are close to their maximal power output.
The variable "duration of exercise" on a treadmill was the
first indicator of CAD for Ellestad, whereas it was not the case in our
analysis. Duration of exercise, as measured according to our
protocol, cannot be directly compared with the value of duration of
exercise measured when using a treadmill. In our standard exercise
protocol, the operator arbitrarily chooses the initial work load, as
well as the additional work load added at each stage, trying to reach
exhaustion in
10 minutes. In that case, the percentage of the target
duration of exercise should be used and not the duration per se.
However, the use of percentages precludes direct use of exercise
duration as a predictive variable and does not allow a comparison
of intensities of exercise. Equations have been
described15 that allow conversion of performance
on a treadmill based on weight, speed, and slope to performance
on a bicycle directly expressed in watts. However, this approach loses
its reliability at high exercise intensities5 and would be
cumbersome to use on a regular basis. Peak exercise lactate level
appears to be a better common denominator between these two types of
exercise tests and is easier to use and to measure in the same way the
intensity of exercise in both conditions, particularly at high exercise
intensities. In other words, lactate level at peak exercise somewhat
standardizes exercise intensities obtained when a treadmill or bicycle
is used.
The data of the operational tree were compared with those of Morise and Duval,16 who analyzed the same population by using the Cadenza, tabular, and a composite dual Bayes analysis. Dual Bayes is a mixture of Cadenza and tabular, with the Cadenza being used first and then the tabular adjustment being used when the Cadenza gives a posttest probability of >50%. Compared with the dual Bayes analysis, we found better negative (96% versus 85%) and positive (97% versus 77%) predictive values, with the same percentage (59% versus 60%) of undeterminate diagnoses. However, this improvement was not statistically significant.
In conclusion, blood lactate concentration at peak exercise appears to be a strong independent predictor of CAD in men; the decision tree that we built using the discriminant power of lactate level should now be tested in an independent population.
| Acknowledgments |
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| Footnotes |
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Received June 27, 1995; revision received October 25, 1995; accepted November 3, 1995.
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