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J Thorac Cardiovasc Surg 1996;111:708-717
© 1996 Mosby, Inc.


SURGERY FOR ACQUIRED HEART DISEASE

IS REFERRAL SOURCE A RISK FACTOR FOR CORONARY SURGERY? HEALTH MAINTENANCE ORGANIZATION VERSUS FEE-FOR-SERVICE SYSTEM

Albert Starr, MD, Anthony P. Furnary, MD§, Gary L. Grunkemeier, PhD§, Guo-Wei He, MD, PhD§, Aftab Ahmad, MD§

From the Albert Starr Academic Center for Cardiac Surgery, Providence Health System, Portland, Ore.

Received for publication April 27, 1995 Revisions requested July 25, 1995; revisions received Dec. 12, 1995 Accepted for publication Dec. 18, 1995. Address for reprints: Albert Starr, MD, 9155 SW Barnes, Suite 240, Portland, OR 97225.

Abstract

We began performing coronary artery bypass grafting for a large health maintenance organization (HMO) in 1974, as the sole provider of their cardiac surgery. The outcomes of our HMO group of patients were compared with those of our patients treated on a fee-for-service (FFS) basis. The HMO system entails preintervention and multidisciplinary screening conferences and is devoid of self-referral and personal financial incentives. Since 1985, the operative mortality for HMO patients has been consistently lower than for FFS patients. There were 8483 operations during this study period: 3168 (37%) were in the HMO group, with an overall operative mortality of 2.7%, and 5315 (63%) were in the FFS group, with an operative mortality of 4.6% (p = 0.00002). This difference was investigated with univariate and multivariable analyses. Sixteen factors were found to univariately affect the risk of operative mortality; for five of these risk correlates there was a significant maldistribution between the HMO and FFS patients. Logistic regression was used to explore the influence of this imbalance in risk factors. The model found seven independent risk factors (left ventricular failure, emergency coronary bypass, redo bypass, nonuse of the internal thoracic artery, unstable angina, age, and diabetes) that significantly affected operative mortality. The FFS group variable closely approached independent risk significance at p = 0.059. This multivariable model explained only one third of the observed differences in actual mortality between the HMO and FFS groups. The system-wide angioplasty/coronary bypass ratio, which could not be used in a patient-specific model, was 0.6 in the HMO system and 1.5 in the FFS group. Other factors related to the operating structure of a mature, large HMO may account for the remainder of the difference. The HMO referral system, through a powerful selection process, resulted in fewer emergencies, redo bypass operations, and catheterization complications that, in turn, yielded lower operative mortality than a noncoordinated FFS system of cardiovascular management. (J THORACCARDIOVASCSURG1996;111:708-17)

Political and economic market forces of the past decade have powered major changes in the provision of health care in the United States. This health care reform has been made evident by the constantly increasing market share of managed care and capitated delivery systems, with the pure private practice, fee-for-service (FFS) structure playing an ever diminishing role. Health maintenance organization (HMO) coverage grew from 8.3% of all hospital admissions to 17.0% between 1983 and 1988 in California.Go 1 This explosive growth of managed and capitated health care systems has since spread to almost all other regions of the United States.

The restructuring of medical delivery into highly managed, clinically coordinated systems carries with it significant medical and socioeconomic questions concerning the benefits and risks of such a change in the process of disease treatment. Namely, does a coordinated process of disease management, with redirected financial incentives, provide an indirect method of rationing that may inherently alter the morbidity and mortality of the treatment of a particular disease?

Cardiovascular sector risk contracting growth, as exemplified by Medicare statistics, has mirrored the health care market changes with a fivefold growth to 6% over the past 10 years.Go 2 Even more striking is the progressive nature of cardiovascular health care delivery in the Pacific Northwest. This is exemplified by the Cardiology Preeminence Roundtable report,Go 2 which noted that 64% (10 times the national average) of all Medicare cardiovascular services in Portland, Oregon, in 1993 were capitated. Managed systems have gradually ascended to prominence in our geographic market over the past 15 years. Thus an unusual opportunity has presented itself during this transition—to test the hypothesis that a managed system of cardiovascular health care results in an altered risk to patients undergoing treatment for heart disease as compared with a pure FFS system.

Our cardiac surgical group has performed coronary artery bypass graft (CABG) operations at Providence St. Vincent Hospital and Medical Center in Portland, Oregon, since 1968. In 1974, we became the exclusive provider of cardiac surgical services to Kaiser Permanente Health Maintenance Organization in Oregon and Washington. These surgical services were provided at the same institution and with the same group of surgeons that concomitantly maintained an active tertiary referral, private FFS practice. By 1985, annual CABG volumes had increased to levels large enough to allow valid comparisons between the HMO and FFS groups. Annual review has shown that CABG operative mortality has been consistently lower in the Kaiser HMO group of patients over the past 10 years.

The purpose of this investigation was to test the hypothesis of HMO-altered CABG risk described earlier and elucidate the pertinent patient- and system-related variables contributing to this difference.

Patients and methods

Patients
A total of 14,416 CABGs were performed at Providence St. Vincent Hospital and Medical Center between January 1974 and March 1994. All patients were operated on by the same surgical group in a common hospital setting. In 1985, the number of HMO CABGs per annum rose above 200 for the first time and has grown gradually (Fig. 1). Thus we chose the decade between January 1985 and March 1994 as the study period for a comparative analysis between outcomes of patients having CABG in an HMO or FFS setting.



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Fig. 1. Number of CABG operations per year since 1974, the first year of our HMO experience.

 
Demographic, catheterization, operative, perioperative, and follow-up data were extracted from our cardiac surgery outcomes database, which has been in active existence since 1972. This database is constantly updated with new patient and follow-up patient information. Nonsurgical, myocardial infarction, admission, and death rates in 1992 and 1993 were obtained from the Kaiser Permanente and St. Vincent medical records centers.

Definitions
Catheterization complications
Catheterization complications were defined as problems in the catheterization laboratory that necessitated urgent or emergency CABG. These included (1) percutaneous transluminal coronary angioplasty (PTCA) or attempted PTCA resulting in a myocardial infarction or circulatory instability, chest pain, or hypotension or (2) direct intracoronary thrombolytic therapy resulting in a myocardial infarction or circulatory instability.

History of PTCA
Any patient who had had PTCA before the present admission was considered to have a history of angioplasty.

Elective CABG
An elective operation is one that is performed on a patient with cardiac ischemia that is stable in the days or weeks before the operation. Patients receiving an elective operation need not remain in the hospital in the interval between cardiac catheterization and the CABG operation.

Urgent CABG
Any patient who does not have to go to the operating room on an emergency basis but requires CABG on the basis of medical necessity before discharge is considered to need urgent CABG. The patient must have unstable symptoms or critical anatomy and may require intravenous intervention (e.g., nitroglycerin, heparin, or inotropic support) for stabilization before the operation. These patients do not fit into the elective or emergency categories.

Emergency CABG
An emergency operation is one in which there should be no delay in providing operative intervention. Patients requiring an emergency operation will have ongoing, refractory, unrelenting cardiac compromise, with or without hemodynamic instability, and are not responsive to any form of therapy except cardiac surgery.

Most other variable definitions are self-explanatory.

Data analysis
Statistical Package for Social Sciences (SPSS, Inc., Chicago, Ill.) statistical software was used to analyze all data. All results are expressed as mean ± standard error of measurement. Univariate comparisons were performed with two-tailed t tests for continuous variables and Pearson's {chi}2 statistic for categoric variables. Bonferroni's correction for multiple analyses was applied to all univariate analyses by dividing the resultant p value by the total number of different comparisons between any two groups.

Multivariable analyses were performed by means of a forward stepwise logistic regression. To assess the fit of the resultant model, we used two methods of analysis, both of which can be portrayed graphically. These methods assess different properties of the model: one is called calibrationGo 3 or reliabilityGo Go 4,5 and the second is called discriminationGo Go 4,5 or resolution.Go 6 The first measures the ability of the model to assign appropriate risk. It is usually evaluated by dividing the patients into groups according to expected risk and comparing the expected mortality to the mortality actually observed in those groups. The second measures the model's ability to discriminate among those who die or live and can be summarized by an ROC (receiver operating characteristic) curve.

Results

A total of 8483 CABGs were performed during the study period. Kaiser HMO patients accounted for 37% of the operations, with FFS patients making up the remaining 63%. Annual operative mortality was consistently lower for the HMO patients throughout the study period (Fig. 2). Overall mortality was significantly lower in the HMO group (2.7%; 86/3168) than in the FFS group (4.6%; 242/5315; p < 0.005).



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Fig. 2. Operative mortality per year since 1985, the first year our HMO CABG procedures numbered greater than 200.

 
A comparison of the demographic and medical characteristics of these two study groups (GoTable I) reveals that most patient-related variables such as age, gender, and the incidence of diabetes, hypertension, and previous infarction are strikingly similar. Likewise, most cardiac comorbidities are also closely matched, including the incidence of left ventricular failure, left main trunk disease, acute myocardial infarction, and the number and type of CABGs used. In addition, although a higher proportion of FFS patients were operated on early in the study period, the mean date of operation for the two groups was not different. However, some very important differences remain between the HMO and FFS populations. The HMO group had significantly lower rates of redo and emergency CABG operations and lower incidences of previous PTCA and catheterization laboratory complications. Note that the HMO group also had a lower mean ejection fraction.


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Table I. Patient characteristics: HMO versus FFS
 
Univariate analyses of these variables revealed several potential correlates of operative mortality (GoTable II). Many of these correlates of mortality concur with previously published independent CABG risk factors, including age greater than 70 years,Go Go 7-9 female gender,Go Go 7,8 diabetes,Go 7 redo CABG,Go Go 7,10 left main trunk disease,Go 11 left ventricular failure,Go 7 acute myocardial infarction,Go Go 8,12 emergency operation,Go Go 10,13 preoperative use of an intraaortic balloon pump,Go Go 7,12 and nonuse of the left internal thoracic artery.Go 10 Interestingly, both a history of PTCA and hyperlipidemia were shown to be protective against CABG mortality.


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Table II. Operative mortality by patient characteristics
 
Univariately significant variables were then used in a series of multivariable regression analyses to determine which factors were independent predictors of operative mortality. This series of tests began with many variables and few patients. The least significant variables at the end of each run were progressively excluded to gain a larger number of patients with complete sets of data available for inclusion in the model. The final regression model (GoTable III) included 3686 (43%) of the 8483 study patients. No significant demographic differences were observed between excluded patients (with one or more missing risk factors) and those patients included in the final model. As shown in GoTable III, this model revealed that left ventricular failure, emergency operation, redo CABG, nonuse of the internal thoracic artery, unstable angina, age, and diabetes were independent predictors of perioperative CABG mortality. In this multivariate analysis, FFS was not a significant independent predictor of risk but showed a strong trend toward significance, with a p value of 0.059 in the final model. Among the 3686 patients included in the final regression model, the operative mortalities of the HMO and FFS subgroups of patients were 2.6% (33/1279) and 4.1% (98/2407), respectively (p < 0.02).


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Table III. Multivariable risk factor analysis
 
The clinical outcome deviance (the negative of 2x the log likelihood) decreased from 1132 for the null model (step 0 of the multivariable regression) to 924 for the final regression model (step 7). This difference of 208 was highly significant (p < 0.00001, with 7 degrees of freedom), indicating that the model did improve the ability to predict outcome. However, this particular model decreased the original deviance by only 18%. Thus other important variables not included in the model contribute to mortality. This result is not uncommon, in a pragmatic sense, for a predictive clinical outcomes model.

Indices of callibration and discrimination were used to assess the predictive accuracy of the logistic regression model. The patients were divided into ten groups of approximately equal numbers on the basis of the deciles of estimated operative mortality. Fig. 3 compares the average estimated mortality (horizontal axis) with the observed mortality (vertical axis) within each group. The value of the Hosmer-Lemeshow test statisticGo 14 was 0.77, indicating a good fit to the data. Fig. 4 contains the ROC curve derived from the model. The area under the curve (called the c-index) of 83% measures the probability that a randomly chosen death would have a higher expected mortality than a randomly chosen survival.



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Fig. 3. Calibration assessment of the logistic regression model: expected versus observed mortality for deciles of expected risk.

 


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Fig. 4. Assessment of the discrimination of the logistic model (ROC curve).

 
Long-term follow-up was completed between 1992 and 1994 on 6532 (77%) patients at a mean of 30 months after the operation. Kaplan-Meier survival analysis (Fig. 5) revealed no significant difference (p = 0.09) between the HMO and FFS patient populations through 9 years after the operation. Thus, despite a reduction in perioperative mortality, the HMO selection process had no significantly demonstrable effect on long-term CABG outcomes in operative survivors.



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Fig. 5. Kaplan-Meier survival curves for HMO and FFS CABG patient groups.

 
Discussion

The implication that the type of health care system in which cardiovascular services are provided may itself affect the short-term outcome of coronary revascularization is indeed provocative. To try to understand the mechanism of such an alteration in risk, one must dissect the respective paradigms of cardiovascular management in each system.

HMO system
The Kaiser HMO system uses an integrated approach to the delivery of cardiovascular services. The cardiac section is a high-volume service, experienced in the methods of coordinated care. Characteristics integral to this approach are as follows:

FFS system
Providence St. Vincent Hospital and Medical Center is a high-volume tertiary cardiac referral center with one cardiothoracic surgical group and up to 10 individually practicing cardiologist groups during this study period. Thus cardiovascular services are provided in a nonintegrated, disparate management system in which FFS reimbursement predominates. In contrast to the HMO, the FFS system characteristics include the following:

Coordination, redirected financial incentives, and mandatory triaging of HMO patients requiring CABG or PTCA drive a selection process that results in a CABG patient population that is significantly and clinically different from the FFS cohort. Two of these differences—emergency operation and redo CABG—directly contribute, as strong independent factors, to a lower CABG mortality in the HMO group.

Although referral source, per se, was not found to be a strict independent predictor of mortality in this model, it is highly likely that it would come into the equation with more complete data by allowing a larger multivariable cohort for analysis. The FFS "risk factor" is the only univariate factor that "trends" toward significance, with a p value of 0.059. Thus more patients with similar characteristics would eventually bring the p value of FFS as an independent risk factor below the strict 0.05 cutoff.

Using the multivariate model described herein, one can compare the predicted and actual mortalities in the two cohorts. The predicted mortalities for the FFS and HMO groups are 3.7% and 3.2%, respectively, giving a predicted difference of 0.5%. The actual mortalities in the same cohorts were 4.1% and 2.6%, respectively, for an actual mortality difference of 1.5%. Thus the multivariate model fails to account for a full 1.0%, or two thirds of the total (1.0%/1.5%) mortality difference. This unaccounted mortality difference favors the HMO group and further suggests the eventual inclusion of FFS as a strict independent risk factor.

A possible contributor to this unaccounted mortality difference is the discrepancy in the use of PTCA between the FFS and HMO systems (Fig. 6). There is a profound difference in the ratio of PTCA/CABG use between the FFS and HMO systems (1.5 vs 0.6, p < 0.00001). This factor could not be directly entered into the analysis of risk for CABG because it pertains to each system's cardiac population as a whole and not to any individual patient. Nonetheless, possible overuse of PTCA in the FFS system, catalyzed by self-referral, direct financial incentives, and possible direct referral of high-risk PTCA cases to this tertiary center, may indirectly affect CABG mortality. This is likely through an increased incidence of both catheterization complications and emergency operations in patients having PTCA.



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Fig. 6. Use of CABG and PTCA for HMO and FFS groups by year. Top two lines = FFS system; bottom two lines = HMO system.

 
The Kaiser HMO practice guidelines for selection of patients for CABG and PTCA are similar to those of the Coronary Artery Surgery Study randomized prospective study, which have the potential to delay surgery in some patients with ischemia. However, the highly honed HMO selection process for interventional cardiac procedures did not result in a higher mortality from nonsurgical myocardial infarction in the Kaiser HMO group as a whole. The most recent data available from the Kaiser HMO and St. Vincent Hospital show similar mortality from myocardial infarction admissions in both 1993 (7.3%, 50/682 vs 7.1%, 54/758) and 1994 (7.2%, 52/724 vs 8.3%, 60/724), respectively. Therefore, the reduction in CABG mortality through the HMO selection process was not achieved at the expense of a higher mortality resulting from medically treated myocardial infarctions.

Limitations of this study include the comparison of a finite population (Kaiser HMO) with an indefinite population lacking a known denominator. Thus, although the mortality from myocardial infarction is similar, one cannot compare the incidence of myocardial infarction between the two population groups. Furthermore, St. Vincent Hospital and Medical Center has long been a tertiary cardiac referral center whose cardiologists and surgeons accept difficult cases from a four-state area. This referral group, which tends to be high risk, could easily skew the results against the FFS cohort. However, the independent risks associated with this referral group should be factored out by the multivariable regression analysis.

Despite these limitations, this analysis leads to the inescapable but provocative conclusion that referral source contributes to clinical and population differences that combine to produce a lower mortality in a coherently managed group of patients needing CABG. This suggests that the coordination that occurs between the primary care physician, internist, cardiologist, and surgical team provides a safer pathway for patient movement through a cardiovascular service that culminates in the application of coronary revascularization. This continuity of care is the hallmark of a coordinated system which, through a variety of factors, reduces the mortality of coronary revascularization. Coordination, redirected financial incentives, and mandatory triage are the cornerstones of this system.

The importance of this conclusion is that it argues against the concept that capitated delivery of health care is primarily focused on reducing use and thereby is not beneficial to the patient. On the contrary, we have shown that Kaiser HMO participation may have been protective against CABG mortality. Coordinated, coherent cardiac care may certainly be possible in an FFS system, outside of an HMO format, that may achieve similar benefits to those provided by a tightly managed HMO structure.

Nevertheless, in this limited experience, a managed system of cardiovascular health provision results in a lowered risk to patients undergoing treatment for heart disease as compared with a pure FFS system.

Appendix: Discussion

Dr. Thomas A. Pfeffer (Los Angeles, Calif.)
You are probably in a unique position to perform a comparison such as this because you have a large number of patients in both the FFS and HMO settings.

At Southern California Kaiser Permanente, which is the largest HMO in Southern California, we have, I think, carried your coherent system one stage further in that there is no contract with an outside hospital for cardiac procedures. All adult cardiac operations are performed in house by four senior cardiac surgeons, excluding the San Diego region, and all pediatric cases from Southern California, including San Diego, as well as from Hawaii, are performed in house.

There is no financial incentive for the surgeons or the cardiologists to perform procedures; on the other hand, this is not a managed care system in which there is a potential for financial disincentive or for a potential gatekeeping system possibly restricting access to procedures.

Our 1994 caseload at Southern California Kaiser comprised 1639 procedures, of which 896 were CABG procedures. In comparing the cardiac characteristics of our series with those of yours, the incidence of redo CABGs was slightly lower, approximately 10% in our group, the incidence of recent myocardial infarction greater, approximately 20%, and the use of an internal thoracic artery as a conduit was more frequent.

Our 1994 mortality for CABG was 2.2%.

Dr. Starr, do you think there is a difference in rate of CABGs performed per population in the two groups of patients that you have? Second, inasmuch as there is no self-referral to cardiologists for PTCA, are these procedures performed on a contract basis with outside cardiologists or are they performed by the HMO cardiologists? Third, what accounts for the difference in the rate of emergency operations in these two groups?

Dr. Starr
The results of the large Kaiser group in California is very pertinent to this discussion. The PTCA is not farmed out by Kaiser but is done by an in-house cardiologist who is referred by other cardiologists to do the PTCA. Also, the number of PTCAs that are done by the Kaiser cardiologist, per cardiologist, is much higher than in the FFS system, these cardiologists are more experienced.

There are no financial incentives within our system. We have a capitated surgical portion of the Kaiser program. Within a managed care system it is possible to achieve a significantly decreased overall mortality from CABG. The decrease in emergency surgery may be one of the important determinants of that difference. I believe that the decrease in emergencies is related to a more conservative management of acute infarction, which does not result in an increased incidence of death from infarction, and from a more judicious use of PTCA, which is markedly different in the two systems.

The use of CABG in the Kaiser system is about 100 cases per 100,000 population, which is about the same as the Oregon population in general. This is a high rate of use, but Oregon is also a high user of CABG in relation to other parts of the country, both being comparable.

In addition, as we examined the population of the Kaiser-insured population versus the population of Oregon matched for age and sex, it matched completely with the age and sex distribution of the Oregon population. So this is not a very unusual population within Kaiser.

Dr. Richard M. Engelman (Springfield, Mass.)
Was there a difference in the age population of the two groups of patients that you investigated?

Dr. Starr
No, there was no difference in age, sex, hypertension, or diabetes. There were just a few elements that were different in each group, and they pertained mostly to cardiac emergencies.

Dr. Richard P. Anderson (Seattle, Wash.)
The hypothesis of this study is that the so-called "coherent" system of prereferral HMO cardiology management results in a lower operative mortality than the so-called "chaotic" system of prereferral non-HMO cardiology management. The differences between the two systems are stated to be preintervention screening conferences, absence of self-referral, and personal financial incentives. I am a believer in managed care systems, but I do not understand how differences in these matters independently affect surgical results.

It is not clear whether HMO referral is an independent predictor of operative mortality. Multiple logistic regression analysis should answer this question. Has such an analysis or a comparable analysis been done? If the results show that HMO referral is an independent predictor of surgical mortality, then would you speculate on the physiologic basis for this conclusion? On the other hand, if such an analysis failed to show that HMO membership is an independent predictor of mortality, then one might reasonably conclude that the HMO merely refers patients in whom the risk is low. In that event, could you speculate on HMO enrollment practices that would result in referral of a low-risk group of patients who then have a lower operative mortality?

Dr. Starr
These are excellent questions that help clarify the issues. With regard to the triage preintervention conference, the FFS practice is a truly unstructured practice; there is no other mechanism than an individual phone call from an individual cardiologist to an individual surgeon. That surgeon is free to accept the patient on his own judgment according to the Hippocratic oath.

With regard to the reason for this HMO effect, there is no question that there is a difference in operative mortality, but how is this difference achieved? It is achieved in part by a selection process. This selection process avoids emergency surgery to a greater extent than in the FFS practice, but it does not do so at the expense of a higher mortality from myocardial infarction. That is an important point.

Through this selection process, without encompassing any higher medical mortality, the results are achieved in part. But the logistic regression is not significant for just HMO alone as an independent predictor on a multivariate analysis. It comes close, immediately after diabetes. We think if we had a larger series it would be an independent predictor. If it were an independent predictor, then there may be some other mechanisms, that is, the appropriate timing of operation, the integration between the primary care physician and the cardiologist, and the integration between the cardiologist and the surgeon, all resulting in a smoother pathway for the patient that results in a lower overall operative risk.

Whether it is an independent predictor or not, there is no question that one system yields a group of patients for whom the operative mortality is distinctly lower without incurring a higher medical mortality.

Appendix: Cardiac surgery/PTCA criteria

Procedure to evaluate medical necessity for cardiac surgery/PTCA

  1. Criteria used for CABG:

  1. Coronary angiography shows left main disease with greater than 50% stenosis.
  2. The patient is undergoing primary cardiac valvular surgery and angiogram shows left main or one-, two-, or three-vessel disease.
  3. The patient has angina with two- or three-vessel disease and left ventricular dysfunction with an ejection fraction less than 50%.
  4. The patient has had an episode of unstable angina within 3 months that responded to inpatient medical management and now has recurrent angina despite medical therapy consisting of nitrates, ß-adrenergic blockers, and calcium channel blockers, and angiogram shows at least two-vessel disease.

B. Criteria used for PTCA:

  1. Acute myocardial infarction with failed reperfusion with thrombolytic agents.
  2. Acute myocardial infarction with severe residual stenosis in a single vessel after successful thrombolytic reperfusion.
  3. Unstable angina with near complete occlusion or high-grade stenosis in one- or two-vessel disease.
  4. Stable angina persisting despite antianginal therapy, and
    1. high-grade single or double vessel stenosis, or
    2. stenosis in one vessel and occlusion in another, or
    3. high-grade stenosis in a CABG Bound volumes available to subscribers

Acknowledgments

We thank Skip McGinty and his staff for providing Kaiser Permanente patient data; Andrew Bennett, Avis Ostrem, and Carolyn Bingham for providing Providence St. Vincent Hospital patient data; and Natasha Pfeifer, Cindy Fessler, Deborah Gannon, and Jill Grunkemeier for assistance and preparation of the manuscript.

Footnotes

Read at the Seventy-fifth Annual Meeting of The American Association for Thoracic Surgery, Boston, Mass., April 23-26, 1995. Back

§By invitation. Back

References

  1. Robinson JC. HMO market penetration and hospital cost inflation in california. JAMA 1991;2719-23.
  2. Cardiology Preeminence Roundtable Report. Brave new world: briefing on the future of cardiac services. 1994:18-9.
  3. Diamond GA. Future imperfect: the limitations of clinical prediction models and the limits of clinical prediction. J Am Coll Cardiol 1989;14:12A-22A.
  4. Harrell FE Jr, Lee KL, Califf RM, Pryor DB, Rosati RA. Regression modeling strategies for improved prognostic prediction. Stat Med 1984;3:143-52.[Medline]
  5. Marshall G, Grover FL, Henderson WG, Hammermeister KE. Assessment of predictive models for binary outcomes: an empirical approach using operative death from cardiac surgery. Stat Med 1994;13:1501-11.[Medline]
  6. Grunkemeier GL. ROC curve evaluation of risk prediction models: focus on outcome analysis. 1995;4:7-11.
  7. Parsonnet V, Dean D, Bernstein AD. A method of uniform stratification of risk for evaluating the results of surgery in acquired heart disease. Circulation 1989;79(Suppl):I3-12.
  8. Kennedy JW, Ivey TD, Misbach G, et al. Coronary artery bypass graft surgery early after acute M.I. Circulation 1989;79(Suppl):I73-8.
  9. Loop FD, Lytle BW, Cosgrove DM, et al. Coronary artery bypass graft surgery in the elderly. Cleve Clin J Med 1988;55:23-34.[Medline]
  10. He GW, Acuff TE, Ryan WH. Determinants of operative mortality in elderly patients undergoing coronary artery bypass grafting. J THORAC CARDIOVASC SURG 1994;108:73-81.[Abstract/Free Full Text]
  11. Lytle BW, Loop FD, Cosgrove DM. Fifteen hundred coronary reoperations. J THORAC CARDIOVASC SURG 1987;93:847-59.[Abstract]
  12. Gardner TJ, Stuart RS, Greene PS, et al. Risk of coronary bypass surgery for patients with post infarction angina. Circulation 1989;79(Suppl):I79-80.
  13. Bolooki H. Emergency procedures in patients in cardiogenic shock due to complications of coronary artery disease. Circulation 1989;79(Suppl):I137-48.
  14. Hosmer DW, Lemeshow S. Applied logistic regression. New York: John Wiley, 1989:140.



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