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Original Article

A Prospective Study of Indexes Predicting the Outcome of Trials of Weaning from Mechanical Ventilation

Karl L. Yang, M.D., and Martin J. Tobin, M.D.

N Engl J Med 1991; 324:1445-1450May 23, 1991

Abstract
Abstract

Background.

The traditional predictors of the outcome of weaning from mechanical ventilation — minute ventilation (VE) and maximal inspiratory pressure (P1max) — are frequently inaccurate. We developed two new indexes: the first quantitates rapid shallow breathing as the ratio of respiratory frequency to tidal volume (f/VT), and the second is termed CROP, because it integrates thoracic c̱ompliance, respiratory ate, arterial o̱xygenation, and P1max.

Methods.

The threshold values for each index that discriminated best between a successful and an unsuccessful outcome of weaning were determined in 36 patients, and the predictive accuracy of these values was then tested prospectively in an additional 64 patients. Sensitivity and specificity were calculated, and the data were also analyzed with receiver-operating-characteristic (ROC) curves, in which the proportions of true positive results and false positive results are plotted against each other for a number of threshold values of an index; the area under the curve reflects the accuracy of the index.

Results.

Sensitivity was highest for P1max (1.00), followed closely by the f/VT ratio (0.97). Specificity was highest for the f/VT ratio (0.64) and lowest for P1max (0.11). The f/VT ratio was the best predictor of successful weaning, and P1max and the f/VT ratio were the best predictors of failure. The area under the ROC curve for the f/VT ratio (0.89) was larger than that under the curves for the CROP index (0.78, P<0.05), P1max (0.61, P<0.001), and VE (0.40, P<0.001).

Conclusions.

Rapid shallow breathing, as reflected by the f/VT ratio, was the most accurate predictor of failure, and its absence the most accurate predictor of success, in weaning patients from mechanical ventilation. (N Engl J Med 1991;324:1445–50.)

Article

ALTHOUGH an experienced physician may be able to foretell the likely outcome of trying to wean a patient from mechanical ventilation, it is desirable to have predictive indexes that can be easily measured and widely applied. The purposes of such indexes are to identify the earliest time that a patient can resume spontaneous breathing and to identify patients in whom a trial of weaning is likely to fail, so that cardiorespiratory distress or collapse can be avoided. In addition, such indexes assess many different physiologic functions and may provide insight into the reasons for dependence on a ventilator.1

A number of indexes, such as vital capacity,2 maximal inspiratory pressure (PImax),2 , 3 and minute ventilation (VE),3 4 5 have been proposed as accurate predictors of the outcome of weaning, but in recent studies their predictive power has been very poor.6 7 8 9 The discrepancy in results between the original study and more recent ones may be due to several factors, including differences in patient populations3 , 6 , 8 or in techniques of measurement,10 and the lack of objective criteria to define weaning outcome. Another reason why a predictive index may perform poorly is that it does not accurately reflect the true pathophysiologic determinants of the outcome of weaning.

Since many factors can be responsible for the failure of an attempt to wean a patient from mechanical ventilation, we reasoned that accurate prediction is more likely with an index that integrates a number of physiologic functions.11 We developed two new indexes. The first is the ratio of respiratory frequency (f) to tidal volume (VT), which quantitates the extent of rapid shallow breathing — a common finding in patients in whom a weaning trial fails.12 The second index incorporates a measure of pulmonary gas exchange and an assessment of the relation between the demands placed on the respiratory system and the capacity of the respiratory muscles to handle them. We compared these new indexes with traditional ones with regard to accuracy. The study was divided into two parts: first, the threshold values of the indexes that discriminated best between successful weaning and weaning failure were determined; second, the accuracy of each index was assessed prospectively in an additional group of patients. The accuracy of the various indexes was also assessed with receiver-operating-characteristic (ROC) curves.13 , 14

Methods

Patients

One hundred patients (46 men and 54 women; mean age [±SE], 59.6± 1.7 years) who were clinically stable and whose primary physicians considered them ready to undergo a weaning trial were recruited from our medical intensive care units. The patients had received 8.2 ± 1.1 days of ventilator support. Their physicians were blinded to the study design and the measurements obtained, although arterial blood gas values and routine measurements by respiratory therapists (PImax, thoracic compliance, and VE and its subdivisions) were available to them. The decision to extubate a patient or reinstitute mechanical ventilation was made solely by the primary physician. The study was approved by the institutional ethics committee of the University of Texas Health Science Center.

Index of Rapid Shallow Breathing

While each patient breathed spontaneously for one minute, rapid shallow breathing was quantitated as the respiratory frequency (the number of breaths per minute) divided by the VT in liters.

Integrative Index

The fraction of maximal inspiratory muscle strength used in each breath, or what may be termed the fraction of the inspiratory-effort reserve — i.e., the ratio of mean inspiratory pressure (PI) to PImax — is an important determinant of respiratory-muscle fatigue15 and can be calculated as follows:

(1) Fraction of inspiratory-effort reserve per breath = PI/PImax.

For a given VT, PI is inversely proportional to the "dynamic compliance" of the respiratory system (Cdyn ).16 Thus, equation 1 can be expressed as follows:

(2) Fraction of inspiratory-effort reserve per breath α (1/Cdyn)/PImax.

Likewise, an index of the rate of energy expenditure per minute can be obtained by multiplying equation 2 by the respiratory rate (the number of breaths per minute):

(3) Rate of energy expenditure per minute α rate/(Cdyn X PImax).

For convenience, the elements of equation 3 can be inverted so that a high value indicates that respiratory demands are well matched by respiratory-muscle strength. A measure of gas exchange — specifically, the ratio of arterial to alveolar oxygen tension (Pa02/PA02)17 — is also incorporated, because in some patients a weaning trial fails because of impaired oxygenation rather than ventilatory-pump failure. The final form of the equation is

(4) Integrative index = (Cdyn x PImax X [Pa02/ PAO2)/rate,

which we have termed the CROP index, an acronym for compliance, rate, oxygenation, and pressure.

Data Collection

During mechanical ventilation, the delivered volume was measured at the endotracheal tube with a calibrated spirometer (Boehringer Laboratory, Wynnewood, Pa.). Airway pressure was measured with a differential pressure transducer (model 78905A, Hewlett-Packard, Waltham, Mass.) attached to the endotracheal tube. The inflationary pressure needed to overcome the elastic recoil of the respiratory system was measured as the plateau in airway pressure that resulted from temporary occlusion of the expiratory tubing at end-inspiration.18 The patient's airway was also occluded at end-expiration to detect the presence of spontaneous positive end-expiratory pressure.19 The "static compliance" (Cst) of the respiratory system was calculated as volume delivered/(plateau pressure — positive end-expiratory pressure),18 and the "dynamic compliance" (Cdyn) as volume delivered/(peak airway pressure — positive end-expiratory pressure).18

PImax was measured with a calibrated differential pressure transducer. A unidirectional valve was attached to the airway, permitting expiration but not inspiration, and the most negative pressure recorded during 20 seconds of airway occlusion was taken as the PImax.10 After the discontinuation of mechanical ventilation, the patient breathed room air spontaneously for one minute, while VE and f were measured with a spirometer; the spontaneous VT was calculated by dividing VE by f. Both the VT corrected for the patient's weight (VT/weight in kilograms) and the uncorrected value were used in the data analysis. A sample of arterial blood was collected for blood gas analysis while the patient was receiving mechanical ventilation, and pulmonary gas exchange was assessed by calculation of the Pa02/PA02 ratio.17

Classification of Weaning Outcomes

The group that was successfully weaned consisted of 60 patients who were able to sustain spontaneous breathing for ≥24 hours after extubation.7 , 9 , 20 The group in which weaning failed consisted of 40 patients in whom mechanical ventilation was reinstituted at the end of a weaning trial or who required reintubation within 24 hours. The patients in whom weaning failed were divided into two subgroups on the basis of their arterial blood gas values at the end of the trial.3 , 12 , 20 , 21 Twenty-eight patients met objective criteria for weaning failure because they had one or more of the following: a partial pressure of carbon dioxide ≥50 torr (7 kPa) (17 patients), an increase in partial pressure of carbon dioxide of ≥8 torr (1 kPa) (18 patients), a pH of arterial blood ≤7.33 (16 patients), a decrease in pH of ≥0.07 (19 patients), or a partial pressure of oxygen ≤60 torr (8 kPa) with a fraction of inspired oxygen ≥0.5 (5 patients). The remaining 12 patients met subjective criteria for weaning failure because diaphoresis, evidence of increasing effort, tachycardia, arrhythmias, or hypotension required the reinstitution of mechanical ventilation.

Study Design

The patients were assigned to one of two data sets, depending on the order in which they entered the study. The "training set" consisted of the first 36 patients who were successfully weaned (24 patients) or in whom weaning failed according to objective criteria (12 patients). Data on these patients were used to determine which value for each index studied best differentiated the patients who were successfully weaned from those in whom weaning failed. The value selected as the threshold value was the one that resulted in the fewest false classifications. This decision was based on the assumption that the disadvantages associated with either a false positive result or a false negative result were equal, since weaning trials undertaken either prematurely or after an unnecessary delay were considered equally deleterious to a patient's health.

The predictive power of the threshold value for each index was assessed in the remaining 64 patients, who constituted the "prospective-validation set." The data for this group were subdivided in two ways —first, to compare the 36 patients who were successfully weaned with the 28 patients in whom weaning failed, and second, to compare the 36 successfully weaned patients with the 16 patients who met objective criteria for weaning failure. The clinical diagnoses of the patients in the training and the prospective-validation sets were as follows: adult respiratory distress syndrome (in 10 and 18 patients, respectively), pneumonia (9 and 9 patients), obstructive airway disease (6 and 11), central nervous system disorders (6 and 7), congestive heart failure (2 and 12), pulmonary fibrosis (0 and 2), and miscellaneous other diagnoses (3 and 5).

Statistical Analysis

A true positive result was defined as occurring when a patient's test predicted weaning success and weaning actually succeeded, a true negative result as occurring when a test predicted weaning failure and weaning actually failed, a false positive result as occurring when a test predicted weaning success but weaning failed, and a false negative result as occurring when a test predicted weaning failure but weaning succeeded. Standard formulas were used to calculate the sensitivity (true positives/[true positives + false negatives]), specificity (true negatives/[true negatives + false positives]), positive predictive value (true positives/[true positives + false positives]), and negative predictive value (true negatives/[true negatives + false negatives]) of each index.22

The predictive performance of each index was also assessed with ROC curves. ROC-curve analysis provides a powerful means of assessing a test's ability to discriminate between two groups of patients, with the advantage that the analysis does not depend on the threshold value selected.13 , 14 , 23 The area under the ROC curve for each index, which summarizes the performance of that index in predicting weaning outcome, was calculated by the nonparametric method of Hanley and McNeil24; the technique developed by these authors was also used to compare the areas under the curves. Two sets of ROC curves were constructed for the prospective-validation data set. The first set was derived from the data on the 36 successfully weaned patients and all 28 patients in whom weaning failed, and the second set was derived from the data on the 36 successfully weaned patients and the 16 patients who met objective criteria for weaning failure.

Results

The threshold values for each index that discriminated best in the training set of data between the successfully weaned patients and the patients in whom weaning failed are shown in Table 1Table 1Threshold Values of Indexes Used to Predict Weaning Outcome..

The accuracy of each index in the prospective-validation data set is shown in Table 2Table 2Accuracy of the Indexes Used to Predict Weaning Outcome.*. Sensitivity was 1.00 for PImax, which was marginally higher than the sensitivity of the f/VT ratio or the VT (both of which were 0.97). Specificity was highest for the f/VT ratio (0.64) and lowest for PImax (0.11). Positive predictive value was highest for the f/VT ratio (0.78). Negative predictive value was highest for the PImax (1.00), followed closely by the f/VT ratio (0.95).

Besides examining the accuracy of the predictive indexes in the successful-weaning group and the group of all patients in whom weaning failed, we also examined the indexes' accuracy in discriminating between the successfully weaned patients and the patients who met objective criteria for weaning failure. In this second comparison, the specificities and positive predictive values of Cdyn, Cst, the Pa02/PA02 ratio, and the CROP index were considerably higher (by ≥0.15), but no major differences were observed in sensitivity and negative predictive value.

We assessed the influence of the duration of mechanical ventilation on the accuracy of the predictive indexes by comparing the patients who required mechanical ventilation for ≥8 days with those who required it for shorter periods (Table 3Table 3Effect of Duration of Mechanical Ventilation (<8 Days or ≥8 Days) on the Accuracy of Indexes in Predicting Weaning Outcome.*). The accuracy was generally lower (by ≥0.15) in the patients requiring ≥8 days of mechanical ventilation, especially in terms of positive predictive value; the differences in sensitivity, specificity, and negative predictive value were smaller. The specificity of PImax and the negative predictive values of f and the Pa02/PA02 ratio were higher, however, in the patients requiring ≥8 days of ventilatory support.

Figure 1Figure 1Isopleths for the Ratio of Breathing Frequency to Tidal Volume, Representing Different Degrees of Rapid Shallow Breathing. shows a series of isopleths for the f/VT ratio that represent different degrees of rapid shallow breathing. The points to the left of the isopleth representing 100 breaths per minute per liter indicate patients with a 95 percent likelihood that a weaning trial would fail, whereas the points to the right of this isopleth indicate patients with an 80 percent likelihood of successful weaning.

The areas under the ROC curves for each index are shown in Table 4Table 4Area under the ROC Curve for Each Index.*, and the curves of selected indexes are shown in Figure 2Figure 2ROC Curves for the f/VT Ratio, CROP Index, PImax, and VE in the Prospective-Validation Data Set of 64 Patients.. For most indexes, the areas were significantly larger than that of an arbitrary test that is expected a priori to have no discriminatory value (i.e., 0.50), with the exception of the areas for VE (0.40), Pa02/PA02 (0.48), and PImax (0.61). In addition, the areas under the ROC curves for VE and PImax were significantly smaller than those for the CROP index (P<0.001 and P<0.03, respectively), the f/VT ratio (P<0.001 in both instances), VT (P<0.001 in both instances), or f (P<0.001 and P<0.03, respectively), whereas the area under the curve for VE was significantly smaller than those for Cdyn (P<0.003) and Cst (P<0.003). Except for the Pa02/PA02 ratio, which tended to decrease the diagnostic accuracy, the areas under the ROC curves tended to become larger as additional components were incorporated into the CROP index: for Cdyn, the area was 0.67±0.07; for compliance and oxygenation (Cdyn X Pa02/PA02), it was 0.58±0.07; for compliance and pressure (Cdyn X PImax), it was 0.73±0.06; for compliance and respiratory rate (Cdyn/rate), it was 0.80±0.06; for compliance, pressure, and rate together (Cdyn X PImax/rate), it was 0.82±0.05; and for the CROP index it was 0.78±0.06. The area under the ROC curve for compliance, pressure, and rate was significantly larger than those for Cdyn (P<0.03) and compliance and oxygenation (P<0.002), the area under the curve for compliance and rate was larger than those for Cdyn (P<0.03) and compliance and oxygenation (P<0.002), and the area under the curve for the CROP index was larger than that of compliance and oxygenation (P<0.01), but none of the other comparisons were significant. The area under the ROC curve for the f/VT ratio (0.89±0.05) was larger than that for the CROP index (0.78±0.06, P<0.05). The areas under the ROC curves generated by the data for the 36 successfully weaned patients and the 16 patients in whom weaning failed according to objective criteria were not significantly different from the areas generated by the data for the complete prospective-validation set of 64 patients.

Discussion

The predictive power of each of the two new indexes of weaning outcome, the f/VT ratio and the CROP index, was considerably greater than that of traditional indexes, such as VE and PImax.

Certain aspects of study design become particularly important when an investigation of predictors of weaning outcome is undertaken, and also when such investigations are compared.1 , 25 First, the study population needs to be carefully defined. We limited our study population to medical patients, since it is generally more difficult to predict the weaning outcome in these patients than in surgical patients. Second, the technique of making the physiologic measurements needs to be clearly stated.10 , 18 Third, the end points of a study need to be well defined. The definition of successful weaning is fairly straightforward (successful spontaneous ventilation for ≥24 hours is the usual one), but that of weaning failure is more difficult. Almost all investigators have defined weaning failure on the basis of abnormal arterial blood gas measurements or clinical deterioration, without stating the relative proportion of each. The lack of objective criteria for weaning failure makes it difficult to compare the performance of predictive indexes in different studies, because the patients in whom a weaning trial was considered to have failed in one study might have been weaned successfully by a more aggressive physician. Accordingly, we analyzed separately the subgroup of patients who met objective criteria for weaning failure in addition to analyzing the entire group in whom weaning failed. Fourth, the method of choosing the threshold value for an index is critical. To our knowledge, all previous investigators have used post hoc analysis to determine the threshold values that discriminated best between successfully weaned patients and patients in whom weaning failed. In contrast, we determined the optimal threshold value for each index in the first 36 patients in our study (Table 1) and then tested the accuracy of these values prospectively in the remaining patients. Finally, we used an additional technique of data analysis, the construction of ROC curves, that circumvents the chief problem inherent in the technique of classic decision analysis — namely, dependence on the threshold value that is selected.

Sahn and Lakshminarayan3 reported that a PImax of ≤ — 30 cm of water ( — 3 kPa) invariably resulted in successful weaning and that a value of ≥ —20 cm of water ( — 2 kPa) invariably resulted in weaning failure; they also reported that a VE of ≥10 liters per minute was useful in predicting weaning failure. Subsequent investigators, however, found a high rate of false positive and false negative results when PImax6 , 7 , 9 , 26 or VE 6 , 8 , 9 was used as a criterion. Measures of the accuracy of these threshold values in our prospective-validation set are shown in Table 5Table 5Accuracy of Various Threshold Values for the Indexes Used to Predict Weaning Outcome.*. The accuracy of indexes of pulmonary gas exchange18 as predictors of weaning outcome has never been subjected to detailed prospective investigation. In the prospective-validation data set, a Pa02/PA02 ratio of 0.35 was found to be a relatively weak predictor of weaning outcome (Table 2), which probably reflects the fact that abnormalities of oxygenation do not frequently determine weaning failure. Other indexes that have been used to predict weaning outcome include vital capacity and maximal voluntary ventilation,2 , 3 but these have also been reported to result in a high rate of false positive and false negative results6 , 27; in addition, their measurement requires considerable cooperation on the part of the patient, making reliable data more difficult to obtain.18

Weaning failure is commonly multifactorial in origin, and thus an index that assesses a single physiologic function may not be optimal.1 , 11 Indeed, this was borne out by the data in the present and previous studies, which showed that indexes assessing the major determinants of weaning outcome had limited diagnostic accuracy when used individually. In contrast, the CROP index, which assesses pulmonary gas exchange and the balance between respiratory demands and respiratory neuromuscular reserve, was a considerably more accurate predictor. The precise pathophysiologic basis of an elevated f/VT ratio in patients in whom a weaning trial fails is unknown,12 but we suspect that it is a stress response reflecting an imbalance between respiratory neuromuscular reserve and respiratory demands. As a predictor, the f/VT ratio has several attractive features: it is easy to measure, it is independent of the patient's effort and cooperation, it has high predictive power, and fortuitously, it has a "rounded-off" threshold value (100) that is easy to remember.

Of the primary indexes, VT was the most accurate in predicting weaning outcome. Since VT is determined by the interaction between the amount of inspiratory pressure generated for each breath and the load placed on the respiratory system (i.e., VT = PI X Cdyn), it is not too surprising that it proved to be a relatively accurate predictor. However, we are not aware of any previous study that has objectively evaluated its usefulness as a predictor of weaning outcome.

The areas under a number of the ROC curves in this study were quite large — specifically, 0.89, 0.87, and 0.77 for the f/VT ratio, VT, and the CROP index, respectively, which compare favorably with the areas under the ROC curves for diagnostic indexes that are considered reliable in everyday clinical practice. These include, for example, the ratio of forced expiratory volume in one second to forced vital capacity in the diagnosis of obstructive airways disease (0.86),28 mean corpuscular volume in the diagnosis of iron-deficiency anemia (0.79),13 and the acid phosphatase level in the diagnosis of prostatic carcinoma (0.75 to 0.80).13 In contrast, the areas under the ROC curves for PImax and VE (0.61 and 0.40, respectively) were not significantly larger than that of an arbitrary test that is expected a priori to have no discriminatory value (i.e., a value of 0.50).

In summary, the indexes traditionally used to predict weaning outcome had limited power and were considerably inferior to the f/VT ratio and the CROP index. The f/VT ratio, which quantitates rapid shallow breathing, appeared to be the single most accurate index, whereas the more complex CROP index, which reflects pulmonary gas exchange and the balance between respiratory demands and respiratory-muscle reserve, was slightly less accurate.

Supported in part by grants from the American Lung Association and the Veterans Affairs Research Service.

We are indebted to Drs. Robert Centor, Charles Metz, and Asha Kapadia for their advice on data analysis; to Drs. Robert F. Lodato, M. Jeffery Mador, and Amal Jubran for their careful review of the manuscript; and to Mr. Kevin Nelson for technical assistance.

Source Information

From the Division of Pulmonary and Critical Care Medicine, the University of Texas Health Science Center at Houston (K.L.Y.), and the Division of Pulmonary and Critical Care Medicine, Hines Veterans Affairs Hospital, and the Loyola University of Chicago Stritch School of Medicine, Chicago (M.J.T.). Address reprint requests to Dr. Yang at the Division of Pulmonary and Critical Care Medicine, the University of Texas Health Science Center at Houston, 6431 Fannin, Suite 1.274, Houston, TX 77030.

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