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Ann Thorac Surg 2006;81:793-799
© 2006 The Society of Thoracic Surgeons
a Department of Veterans Affairs Medical Center, Denver, Colorado
b University of Colorado Health Sciences Center, Denver, Colorado
Accepted for publication August 15, 2005.
* Address correspondence to Dr Shroyer, Cardiac Research, Denver Department of Veterans Affairs Medical Center, 820 Clermont St, 112R, Denver, CO 80220 (Email: laurie.shroyer{at}med.va.gov).
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| Abstract |
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METHODS: We analyzed 56,543 veterans who underwent CABG surgery at one of 43 VA cardiac surgery centers between October 1, 1991, and March 30, 2001. Each patient was followed for a minimum of 3.5 months and a maximum of 9.5 years for mortality assessment. The time-varying effects of 22 mortality preoperative risk factors were evaluated using both standard Cox regression models and Cox B-spline regression models.
RESULTS: Six variables showed significant varying effects over time on mortality after surgery. The effects of previous heart surgery or preoperative intra-aortic balloon pump carried about 5 times and 3 times the risk, respectively, of dying on the first day after surgery, but were not significant during long-term follow-up. Conversely, diabetes had little additional risk immediately after surgery, but the risk increased steadily and doubled at 9.5 years after surgery. Three other risk variablesage, chronic obstructive pulmonary disease, and urgent or emergent statusalso had risk changing by 50% to 60% over the next decade. Most of the other 16 risk variables were significantly associated with mortality, but the risk did not vary substantially over time.
CONCLUSIONS: Risk associated with some preoperative variables can change significantly during the decade after surgery, and risk assessments that assume constant risk during the postoperative period may substantially overestimate or underestimate risk at some times. These findings may help clinicians identify appropriate management strategies for patients during the years after CABG surgery, and support an emphasis on noncardiac comorbidities during later postoperative periods.
Preoperative risk factors for short-term (
30 days), intermediate-term (31 to 210 days), and long-term (>210 days) mortality after coronary artery bypass graft (CABG) surgery have been investigated [17], and differences in risk factor sets for these time periods have been noted [7]. However, the majority of previous studies have focused on risk factors for short-term outcomes, and little is known about risk factors for long-term mortality or how these risk factors may vary over time. Time-varying risk means that a given preoperative risk factor may be associated with different degrees of risk at different times after surgery. We have previously shown that effects of risk variables can vary in the 7 months after surgery, such that some cardiac risk factors (eg, prior myocardial infarction) confer maximal risk perioperatively whereas some noncardiac risk variables (eg, chronic obstructive pulmonary disease) have increasing impact over the months after the operation.
The goal of the present study was to examine the time-varying effects of preoperative risk variables on long-term mortality in a large cohort of CABG surgery patients, and to compare the results with previous investigations of shorter-term risk factors. It is hoped that the results of this study will help inform better preoperative risk stratification and counseling of patients with regard to mortality risk during the decade after the operation.
| Patients and Methods |
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Outcomes
The purpose of this study was to examine variation in risk factors over time for long-term survival of patients after CABG surgery. The outcome was all-cause mortality between the date of surgery and July 17, 2001, the closing date for records from the VA Beneficiary Identification and Record Locator System (BIRLS). Mortality assessments were made using both BIRLS and individual follow-up by VA personnel (including information from electronic medical records, cardiology clinics, and personal contact by CICSP surgical clinical nurse reviewers). The BIRLS, which has been shown to be comparable with the National Death Index for mortality assessment in a VA population [9], was used for the primary determination of mortality outcomes. Individual follow-up by CICSP personnel was used for confirmation and determination of any deaths missed by BIRLS.
Risk Variables
We considered 22 preoperative risk variables that have been previously established as mortality risk factors for CABG surgery [3, 6]. These 22 variables were categorized as either demographic or noncardiac, or cardiac by CICSP. The demographic or noncardiac variables considered were age, sex, body surface area (m2), partially or totally dependent functional status, chronic obstructive pulmonary disease (COPD), peripheral vascular disease, cerebral vascular disease, current smoker, diabetes, and serum creatinine level of 1.5 mg/dL or greater. The cardiac risk variables considered were prior heart surgery, Canadian Cardiovascular Society (CCS) anginal class III or IV, prior myocardial infarction (regardless of time of occurrence), preoperative intra-aortic balloon pump (IABP), intravenous nitroglycerin 48 hours or less before operation, percutaneous transluminal coronary angiography (PTCA) 0 to 72 hours before surgery, ST-segment depression on preoperative electrocardiogram, New York Heart Association (NYHA) functional class III or IV, urgent or emergent surgical priority, number of stenotic coronary arteries 2 or more, left main coronary artery stenosis greater than 50%, and left ventricular ejection fraction less than 0.55.
Missing values of risk variables were imputed using the median for continuous variables or the most frequent category for categorical variables. Eighteen variables had less than 0.05% missing values, serum creatinine had 0.29% missing, number of stenotic coronary arteries and left main coronary artery stenosis (50% or more) had 2.5% and 2.4% missing, respectively, and left ventricular ejection fraction had 5.77% missing.
Statistical Analyses
Two separate multivariable methods were implemented to determine the independent time-varying effect of each risk variable. First, standard Cox proportional hazards survival analysis was used to estimate for each risk variable a constant hazard ratio (ie, the same risk applies over time after surgery) [10]. The hazard ratio represents the increased risk for a patient with the risk factor compared with a patient without the risk factor, controlling for other variables in the model.
Second, Cox proportional hazards regression with the incorporation of linear B-spline functions of survival time after surgery was used to estimate possibly different hazard ratios at each day after surgery. The splines we used are functions composed of straight lines (first-order splines) that join and may change slope at prespecified times (knots, which we located at approximately the 10th, 25th, 50th, 75th, and 90th percentiles of death times, which correspond to 7, 98, 784, 1,645, and 2,324 days after surgery, respectively). These piecewise linear functions are capable of representing a wide variety of risk patterns over time, and provide one approach to modeling nonproportionality of risk (ie, varying risk over time) when necessary [1114]. Comparison of the B-spline models with standard Cox regression indicates whether the risk varies with time after surgery.
A sequence of steps was used to determine whether each of the 22 risk factors had a significant and substantially time-varying association, and if so, to estimate the postoperative pattern of risk while adjusting for the remaining risk factors. That involved selecting the number and location of knots in the spline function for each risk variable while adjusting for other variables in time-constant form, comparing this spline function with a time-constant hazard function, and repeating the estimation and comparison with constant hazard while adjusting for other variables in their time-varying hazard form. We used both statistical criteria (likelihood ratio tests and the Bayesian information criterion [BIC] [15]) and clinical criteria (requiring that the hazard ratio vary by at least 50% over the 9.5-year follow-up) in determining risk variables that displayed time-varying risk. Details of statistical methods are given in the Appendix.
For each risk variable found to have time-varying hazard ratio, a graph of the hazard ratio and 95% confidence interval (CI) at each day after surgery is given. For risk variables with constant hazard ratio, an estimated hazard ratio, 95% CU, and p value are given. All statistical analyses were conducted using PROC PHREG in SAS version 8 (SAS Institute, Cary, North Carolina), and sample code is available upon request to the corresponding author.
| Results |
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Time-Constant Risk Factors
Of the remaining 16 variables for which we estimated time-constant hazard ratios, 14 had hazard ratios significantly different from 1 (PTCA 0 to 72 hours before surgery and CCS anginal class III or IV were not significant). These estimates were obtained from the models in which all variables were in the forms (either time-constant or time-varying) chosen by model selection. These 16 variables, with their overall hazard ratios and 95% CI for the 9.5-year period after CABG surgery are listed in Table 3. Only serum creatinine level 1.5 mg/dL or greater had estimated constant hazard ratio greater than 1.5 (1.70, 95% CI: 1.63 to 1.77, p < 0.0001) over the 9.5-year period.
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Three cardiac-related variablesprior heart surgery, preoperative IABP, and urgent or emergent surgical prioritywere associated with high risk immediately after surgery but with subsequent rapidly decreasing risk over time. In all cases, these risks decreased or disappeared over the succeeding weeks or months. Comparing these results to estimated hazard ratios assuming the same risk at all times after surgery shows that the standard time-constant estimates substantially underestimate risk immediately after surgery and overestimate risk over the longer term. Thus, these three cardiac risk variables are even more important than previously often thought during the perioperative period, but appear to add little information toward predicting risk over the long term.
Three noncardiac variablesdiabetes, age, and COPDshowed little risk immediately after surgery, but the risk increased rapidly during the weeks or months after surgery. In particular, the hazard ratio for diabetes continued to increase over long-term follow-up. These results indicate that assuming constant hazard ratio during the entire decade after surgery will overestimate risk immediately after surgery and underestimate risk over the long term. Finally, of the 16 risk variables for which we did not find substantially time-varying risk, 14 were associated with independent time-constant risk over the 9.5-year period after surgery. The highest time-constant independent risk was elevated serum creatinine. Of note, the risk from renal dysfunction was independent of the risk from diabetes, and, conversely, the time-varying risk from diabetes was independent of the constant risk from elevated serum creatinine.
Taken together, the results of this study emphasize that while cardiac factors are critical with regard to mortality risk in the early postoperative period, there is a clear shift toward noncardiac risk factors with regard to longer-term survival. Patients are often labeled as "cardiac patients" after CABG surgery, with emphasis on cardiac condition for extended periods of time. Yet, after the early recovery period it appears that emphasis on management of comorbid conditions, like diabetes and COPD, is critical toward longer-term survival. This underscores the importance of the "hand-off," or transition, from cardiothoracic surgery and cardiology back to primary care in the months after the operation. Future studies should evaluate whether disease management interventions for key comorbid conditions in post-CABG patients can improve outcomes. In addition, studies such as the evaluation of tight glycemic control in diabetics and smoking cessation interventions to reduce risk from COPD among post-CABG patients may be warranted to see if such interventions can improve long-term survival.
The general patterns of risk found in this study were consistent with previous investigations by our group focused in the first 7 months after CABG surgery [7, 8]. In those previous studies, we found that cardiac-related risks tended to be higher during the first weeks or month after surgery, and the effects of noncardiac factors appeared during the subsequent 6 months. The present study extends those results to much longer-term follow-up, uses a larger sample, and considers a more extensive set of preoperative risk variables.
The previous literature on risk factors for long term survival after CABG surgery is limited. Risum and colleagues [4] followed 1,025 patients for up to 10 years after CABG surgery and found previous heart surgery to be a strong independent predictor of early (
30 days) but not of total mortality (as long as 10 years), consistent with our findings. In contrast, diabetes mellitus was not an independent predictor of either early or total mortality in that study. Srinivasan and coworkers [17] followed 840 elderly patients for as long as 5 years after CABG or valve surgery. Renal disease was the strongest independent predictor of mortality, but prior heart surgery and diabetes were not independent risk factors. Our study had over 50 times as many patients as either of these previous studies, and therefore had significantly higher power to assess risk effects such as the impact of diabetes on long-term mortality. Consistent with our study, Leavitt and coworkers [18] noted significant long-term risk associated with diabetes and even greater risk for diabetic subjects with renal failure, peripheral vascular disease, or both in 10-year follow-up of the large (36,641 patients) Northern New England Cardiovascular Disease database.
This study has several potential limitations. The VA population is largely male, and has a typically greater burden of comorbidities than other populations, so care is needed in generalizing our results to non-VA populations. Also, we did not have information on cause of death, and noted minor differences in mortality rates between the two methods we used to capture mortality (individual follow-up by VA personnel and BIRLS). However, previous sensitivity analyses (eg, Gao and associates [8]) indicated that these differences are not large enough to change results substantively. We also note that our results are specifically for patients after CABG surgery and may not necessarily apply with other types of cardiac surgery. For example, our group has previously noted substantial differences between post-CABG patients and postvalve replacement patients in effects of some risk variables on short-term (30-day) mortality [19].
In conclusion, we found that during the nearly 10 years after CABG surgery, the risk of death associated with several preoperative risk variables changed substantially. Risks from several cardiac risk variables were high immediately after surgery but dissipated quickly, whereas risks from several noncardiac-related variables increased over time after the operation. Our results suggest that after the immediate recovery from CABG surgery, a focus on noncardiac conditions may be most important to maximize long-term survival.
| Appendix |
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As a statistical criterion for determining which models fitted our data best, we used likelihood ratio tests and the Bayesian information criterion (BIC) [15]. Likelihood ratio tests determine whether the hazard ratio varies statistically significantly with time after surgery. In models with each variable individually in time-varying spline form and adjusting for all other risk variables in time-constant form, all risk variables were found to have significantly time-varying hazard ratio (p < 0.01). However, this is a common occurrence in studies such as this with vary large sample sizes and power to detect very small deviations from null hypotheses, and when hazard ratio functions were examined the magnitude of variation in the hazard ratio over time was often very small and the hazard ratio took a complex form and was not of practical interest. Therefore, BIC values were also examined. The BIC takes into account how well the model predicts survival as well as how many parameters were estimated. A smaller BIC value indicates a model that has a higher probability of being correct for the given data. Kass and Raftery [16] discuss these issues and provide guidelines for how differences in BIC values between two models correspond to strength of evidence in favor of one of the models. We have used their criterion of a difference in BIC values greater than 10 corresponding to "very strong evidence." In our study, if a more complex model had BIC more than 10 units better than a simpler model, the more complex model was chosen, otherwise the simpler model was used. When we repeated analyses with different values, in some cases different numbers of variables were flagged as having time-varying hazard ratio, but the same several risk variables reported in the Results emerged as having the greatest degree of time variation. To ensure that variables with time-varying risk as determined by statistical methods also showed sufficient magnitude of variation over time to be of clinical interest, we also required that the highest estimated hazard ratio over the 9.5-year follow-up be at least 50% greater than the smallest estimated hazard ratio.
| Acknowledgments |
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| References |
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