Cost Effectiveness of Thrombolytic Therapy with Tissue Plasminogen Activator as Compared with Streptokinase for Acute Myocardial Infarction
Daniel B. Mark, M.D., M.P.H., Mark A. Hlatky, M.D., Robert M. Califf, M.D., C. David Naylor, M.D., D.Phil., Kerry L. Lee, Ph.D., Paul W. Armstrong, M.D., Gabriel Barbash, M.D., Harvey White, M.B., Maarten L. Simoons, M.D., Charlotte L. Nelson, M.S., Nancy Clapp-Channing, M.P.H., J. David Knight, M.S., Frank E. Harrell, Ph.D., John Simes, M.D., and Eric J. Topol, M.D.
Background Patients with acute myocardial infarction who weretreated with accelerated tissue plasminogen activator (t-PA)(given over a period of 11/2 hours rather than the conventional3 hours, and with two thirds of the dose given in the first30 minutes) had a 30-day mortality that was 15 percent lowerthan that of patients treated with streptokinase in the GlobalUtilization of Streptokinase and Tissue Plasminogen Activatorfor Occluded Coronary Arteries (GUSTO) study. This was equivalentto an absolute decrease of 1 percent in 30-day mortality. Wesought to assess whether the use of t-PA, as compared with streptokinase,is cost effective.
Methods Our primary, or base-case, analysis of cost effectivenessused data from the GUSTO study and life expectancy projectedon the basis of the records of survivors of myocardial infarctionin the Duke Cardiovascular Disease Database. In the primaryanalysis, we assumed that there were no additional treatmentcosts due to the use of t-PA after the first year and that thecomparative survival benefit of t-PA was still evident one yearafter enrollment.
Results One year after enrollment, patients who received t-PAhad both higher costs ($2,845) and a higher survival rate (anincrease of 1.1 percent, or 11 per 1000 patients treated) thanstreptokinase-treated patients. On the basis of the projectedlife expectancy of each treatment group, the incremental cost-effectivenessratio with both future costs and benefits discountedat 5 percent per year was $32,678 per year of life saved.The use of t-PA was least cost effective in younger patientsand most cost effective in older patients. At all ages, theuse of t-PA in patients with anterior infarctions yielded morefavorable cost-effectiveness values. In our secondary analyses,the cost-effectiveness values were most sensitive to a loweringof the projected long-term survival benefits of t-PA and tomoderate or greater increases in the projected medical costsfor patients in the t-PA group after the first year. In contrast,our results were not sensitive to even very unfavorable assumptionsabout the additional costs associated with the higher rate ofdisabling stroke that was noted in patients treated with t-PAin the GUSTO study.
Conclusions The cost effectiveness of treatment with acceleratedt-PA rather than streptokinase compares favorably with thatof other therapies whose added medical benefit for dollars spentis judged by society to be worthwhile.
The value of thrombolytic therapy for patients with acute myocardialinfarction has been firmly established. To identify the thrombolyticapproach that most effectively produces sustained patency ofthe infarct-related artery and improves survival, the GlobalUtilization of Streptokinase and Tissue Plasminogen Activatorfor Occluded Coronary Arteries (GUSTO) investigators comparedfour different regimens: accelerated tissue plasminogen activator(t-PA), streptokinase with intravenous heparin, streptokinasewith subcutaneous heparin, and a combination of t-PA and streptokinase.1("Accelerated" refers to the administration of t-PA over a periodof 11/2 hours with two thirds of the dose given in thefirst 30 minutes rather than the conventional periodof 3 hours.) That study found a statistically significant relativedecrease of 15 percent and an absolute decrease of 1 percentin 30-day mortality from all causes for treatment with acceleratedt-PA as compared with the pooled streptokinase regimens (themortality rates for which were not significantly different fromone another). Furthermore, t-PA reduced the risk of death ineach of the analyzed subgroups.1 Some observers have questionedwhether the improved survival rates seen in the GUSTO studyare worth the substantial additional cost of t-PA.
We conducted a cost-effectiveness analysis to compare the valueof t-PA treatment with that of streptokinase treatment on thebasis of the information on mortality and use of resources fromthe GUSTO study and detailed data on the use of medical resourcesand the quality of life of a random subgroup of the GUSTO cohortresiding in the United States.
Methods
Our analysis comparing accelerated t-PA with streptokinase useddata from the GUSTO study: data on 1-year survival for all 41,021patients enrolled in the study, data on the use of medical resourcesduring the initial hospitalization for all 23,105 U.S. patients,and data on a prospective random sample of 2600 U.S. patientswho underwent structured interviews by telephone 30 days, 6months, and 12 months after enrollment on their use of medicalresources and quality of life.1,2 The particular costs and benefitsexamined in a cost-effectiveness analysis vary with the perspectiveof the study.3,4 In medical economics, the analysis can be constructedto reflect the viewpoint of society as a whole, payers, healthcare providers, or patients. In the present study, we used asocial perspective to identify relevant costs, although indirectcosts (e.g., time lost from work) and nonmedical costs werenot included. Effectiveness was measured in terms of additionallife expectancy, and the effects of the treatments on the patients'quality of life were examined in a sensitivity analysis.5,6Both survival and costs were discounted continuously at an annualrate of 5 percent, as is consistent with conventional practice.6,7Extensive sensitivity analyses were performed. Cost-effectivenessratios were expressed as the additional lifetime costs requiredto add one extra year of life with t-PA treatment as comparedwith streptokinase therapy. Higher cost-effectiveness ratiosindicate lower cost effectiveness.
Determining Costs
The costs of initial hospitalization (including charges forany transfers between hospitals) were calculated in two ways:from total cost estimates (variable costs plus fixed costs)from the Duke Transition One cost-accounting system, and fromMedicare diagnosis-related-group (DRG) reimbursement rates (Table 1).The Transition One system estimates hospital costs usinga bottom-up approach that is based on resources consumed andunit prices for those resources.3 Costs of the thrombolyticagents were also calculated in two ways: from the Drug TopicsRed Book average of 1993 wholesale prices,8 and from the averagecosts of the drugs in 16 randomly selected GUSTO hospitals (2hospitals in each GUSTO geographic region).1 The Red Book averagewholesale price of 1.5 million units of streptokinase was $320;the price of 100 mg of t-PA was $2,750. The average cost tothe 16 GUSTO hospitals was $270 for 1.5 million units of streptokinaseand $2,216 for 100 mg of t-PA. We assumed that pharmacy handlingand preparation costs and drug-administration costs would beequivalent for the two regimens. For follow-up hospitalizationcosts, we used Medicare DRG reimbursement rates for North Carolina(Table 1). Reported hospitalizations and revascularization procedureswere verified with the relevant institution. Physicians' feesfor both initial and follow-up hospitalizations were drawn fromthe Medicare fee schedule for North Carolina (Table 1).
For the primary analysis, incremental costs included only cumulativehospital and physicians' costs for the first year after treatment.Because there were no empirical data on costs after one year,the primary analysis assumed no cost differences between thetreatment groups after one year. All costs were expressed in1993 dollars.
Estimating Survival
To estimate survival rates after the end of follow-up in theGUSTO study, the primary analysis assumed that the hazard ofdeath after one year did not depend on the thrombolytic agentreceived (i.e., that the survival curves of the two treatmentgroups were parallel) and that the patients' pattern of long-termsurvival was typical of the chronic, stable phase of coronaryheart disease. To represent that pattern, we constructed a Coxproportional-hazards model based on the experience of 4379 patientsin the Duke Cardiovascular Disease Database9,10,11,12 with myocardialinfarction between 1971 and 1992 who had either pathologic Qwaves on a resting 12-lead electrocardiogram or a marked focalwall-motion abnormality seen on a left ventriculogram and whosurvived at least one year. This survival model was used toextend the 1-year survival data by an additional 14 years. Forthe model, we selected covariates that were available in theGUSTO data base, including age, sex, and location of infarction.Because, in the Duke data, approximately 20 percent of patientswere alive at the last follow-up, we used a Gompertz functionto extrapolate the tail of the survival curve.13
Using this composite modeling approach, we generated lifetimesurvival curves for both treatment groups and calculated lifeexpectancy as the area under each curve. The increase in lifeexpectancy for the t-PA group was thus represented by the differencebetween the areas under the two curves. The survival curve forthe t-PA group is presented in Figure 1.
Figure 1. Probability of Survival among Patients Treated with t-PA.
A survival function of this type was used to estimate life expectancy for each treatment group. The curve consists of three parts: the survival pattern in the first year after treatment in the GUSTO study, data for an additional 14 years on survivors of myocardial infarction in the Duke Cardiovascular Disease Database, and a Gompertz parametric survival function adjusted to agree with the empirical survival data at the 10-year and 15-year follow-up points.
Sensitivity Analyses
Extensive sensitivity analyses were performed in order to findthreshold values for variables in the model that would resultin a cost-effectiveness ratio of more than $50,000 per yearof life saved. We varied survival and costs in both the shortand the long term for the t-PA group, the costs and adversehealth consequences of the increased risk of disabling strokeassociated with t-PA, and the utility weights we used to reflectthe attitude of patients toward their current state of health.
Utility
Utility (a number from 0 to 100 that summarizes the value patientsattach to their current state of health) was measured in structuredtelephone interviews one year after treatment. Patients wereasked, in a series of questions, how much of their current lifeexpectancy assumed to be 10 years in their present stateof health they would be willing to give up in orderto live their remaining years in excellent health.14,15
Subgroup Analysis
We calculated the comparative cost-effectiveness value for treatmentwith t-PA instead of streptokinase for eight clinical subgroupsdefined by the patient's age (up to 40 years, 41 to 60 years,61 to 75 years, or more than 75 years) and the location of theinfarction (anterior or inferior). In a linear regression analysis,neither age nor the location of the infarction had an identifiableassociation with costs in the first year after treatment. Consequently,we used the cost differences from our primary analysis in calculatingthe cost-effectiveness values for the eight subgroups.
Statistical Analysis
Descriptive data are presented as percentages for discrete variablesand as medians with 25th and 75th percentiles for continuousvariables (Table 2). Intention-to-treat analyses of base-line,six-month, and one-year data were performed with a chi-squaretest for discrete variables and by the Wilcoxon rank-sum testfor continuous variables.
Table 2. Use of Medical Resources during the Initial Hospitalization and up to One Year after Discharge, According to Treatment.
Results
Primary Analysis
Costs
Resource consumption within the first year was generally similarin the streptokinase and t-PA groups (Table 2). There was aslightly higher use of pulmonary-artery catheters in the patientswho received streptokinase during the initial hospitalization(20 percent, vs. 18 percent in the t-PA group; P = 0.002). Therewas a trend toward more percutaneous transluminal coronary angioplastyin the t-PA group (3 percent vs. 2 percent, P = 0.03) and morerehospitalization (19 percent vs. 15 percent, P = 0.06) fromsix months to one year after enrollment (Table 2). At the timeof initial hospital discharge, there was no difference betweenthe two treatment groups in the rates of use of any of the majorclasses of cardiac medications. The estimated cumulative medicalcosts (hospital costs plus physicians' fees) at one year, exclusiveof the cost of the thrombolytic agent, averaged $24,575 forpatients treated with streptokinase and $24,990 for patientstreated with t-PA. When the Red Book drug costs for the thrombolyticagent were added, the incremental, undiscounted costs for eachpatient who received t-PA were $2,845. The primary analysisassumed no increased costs for the t-PA group after the firstyear.
Life Expectancy
Survival at 30 days was 92.7 percent in the streptokinase groupand 93.7 percent in the t-PA group (P = 0.001), and 89.9 percentand 91.0 percent, respectively, after one year (P = 0.006).We projected a life expectancy from the time of enrollment inthe GUSTO study of 15.27 years for patients treated with streptokinaseand 15.41 years for patients treated with t-PA, or an undiscountedincrease in life expectancy for the t-PA group of 0.14 yearper patient (i.e., 14 additional years of life per 100 patientstreated with t-PA).
Cost Effectiveness
With an increased life expectancy in the t-PA group of 0.14year of life per patient, an increased cost of $2,845 per patient,and a discount rate of 5 percent, the comparative primary cost-effectivenessratio for the use of t-PA instead of streptokinase was $32,678per year of life saved. Substituting the average thrombolytic-drugcosts to the hospitals in the GUSTO study for the Red Book wholesaleprices in our primary analysis yielded a cost-effectivenessvalue of $27,115 per year of life saved. If we used MedicareDRG reimbursement rates for the initial hospitalization ratherthan the Duke Transition One costs, kept the Red Book pricesfor the thrombolytic agents, and left all other factors unchanged,the increase in costs for patients treated with t-PA was $3,154and the cost-effectiveness ratio became $36,218 per year oflife saved. Substituting the GUSTO prices for thrombolytic agentsinto this latter calculation reduced the additional cost oft-PA treatment to $2,670 and lowered the cost-effectivenessvalue to $30,655 per year of life saved.
Sensitivity Analyses
Differences in One-Year Survival
The 95 percent confidence interval for the 1.1 percent increasein one-year survival among patients in the t-PA group was 0.46percent to 1.74 percent, a range that would produce cost-effectivenessratios of $71,039 to $18,781 per year of life saved.
Differences in Long-Term Survival
The true life expectancy of the subjects could differ from thevalue predicted in our model of approximately 15 years. In addition,the survival curves may actually converge or diverge after oneyear. Either reducing the life expectancy or causing the survivalcurves to converge would reduce the additional years of lifesaved by t-PA treatment (Figure 2). With a 5 percent discountrate, the cost-effectiveness ratio would rise above $50,000if the number of years of life saved by t-PA treatment fellbelow 7 undiscounted years per 100 patients, and it would riseabove $100,000 per year of life saved if the number of undiscountedyears of life saved per 100 patients fell below 3.
Figure 2. Sensitivity Analysis of the Long-Term Increase in Survival in the t-PA Group as Compared with the Streptokinase Group.
The y axis shows cost-effectiveness ratios expressed as dollars per additional year of life saved (all values are discounted). The x axis shows undiscounted years of life saved by the use of t-PA per 100 patients treated. In the primary analysis, t-PA saved 14 additional years of life per 100 patients treated and had a cost-effectiveness ratio of $32,678. If the t-PA and streptokinase survival curves converged over time, or if the life expectancy of the GUSTO cohort was less than that projected in our analysis, then the cost-effectiveness value would be greater and, therefore, less favorable.
Discounting the value of future costs and benefits reduces theirpresent value. If costs and increased years of life were notdiscounted at all, the primary cost-effectiveness ratio in ourstudy would be $20,468 per year of life saved; if a discountrate of 10 percent was used, however, the cost-effectivenessratio would rise to $47,337 per year of life saved.
Cost Differences in the First Year
Although the difference in associated costs between streptokinaseand t-PA (exclusive of the cost of the drugs themselves) wasnot statistically significant, variations in the increased costsassociated with t-PA treatment did affect the cost-effectivenessratio (Figure 3). A cost-effectiveness value of $50,000 is reachedwhen the additional cost of t-PA treatment, including the costof the thrombolytic agents, exceeds $4,350 per patient (53 percenthigher than the cost calculated in the primary analysis). Ifthe additional cost of t-PA use were $2,000, the cost-effectivenessratio would be $27,736 per year of life saved. If the drug costswere those typical in Europe (approximately $1,000 for 100 mgof t-PA and $200 for 1.5 million units of streptokinase), thecost-effectiveness ratio would be $13,943 per year of life saved.
Figure 3. Sensitivity Analysis of the Cost Difference between Treatment with t-PA and Treatment with Streptokinase, Assuming No Cost Differences beyond the First Year after Treatment.
The y axis shows cost-effectiveness ratios expressed as dollars per additional year of life saved. The x axis shows the increased cost per patient associated with treatment with t-PA. In the primary analysis, the increased cost per patient was $2,845.
Cost Differences after One Year
In the primary analysis, we assumed no cost difference betweent-PA and streptokinase beyond the first year after treatment.In a random subgroup of U.S. patients, we observed a mean increasedcost per patient for the t-PA group between six months and oneyear of $508 (P = 0.38). Although it was not statistically significant,we used this figure to estimate the possible increase in long-termcosts for subjects who survived one year after treatment. Ifwe annualize this figure to $1,016 per year, discount futurecosts at 5 percent per year, and calculate on the basis of theaverage GUSTO patient's life expectancy (15 years), an additional$9,975 is added to the costs associated with t-PA, yieldingan incremental cost-effectiveness ratio of $147,333 per yearof life saved. If the increased level of cost continues foronly the second year after treatment, then the cost-effectivenessratio would be approximately $44,000. If the higher costs continuethrough the third year of follow-up, the cost-effectivenessratio would be approximately $55,300 per year of life saved.
Quality of Life
At one year, the mean utility weights measured in our interviewswere 0.90 for both treatment groups. That is, patients werehypothetically willing to trade 10 years of life at their presentstate of health for 9 years of excellent health. Weighting increasedsurvival in both groups by this factor yielded a cost-effectivenessratio of $36,402 per quality-adjusted year of life saved.
Increased Risk of Stroke
In the first 30 days after treatment in the GUSTO study, t-PAproduced a net increase of one disabling nonfatal stroke per1000 patients treated, as compared with the rate with streptokinase.1If disabling nonfatal stroke is considered an end point equivalentto death in the hospital, then the increase in life expectancyestimated for the t-PA group in our model is reduced to 0.13undiscounted year per patient, and the primary cost-effectivenessratio increases to $35,538.
Costs for the care of survivors of stroke in the first yearafter treatment were included in our primary analysis. In asensitivity analysis, we assumed that patients with stroke whowere in a rehabilitation hospital or nursing home one year aftertreatment (12 percent of the stroke survivors) would incur thecosts of such care (an average daily cost of $1,212 for carein a rehabilitation hospital and $155 for nursing home care)for the remainder of their life expectancy. Allocating theseextra costs to the t-PA group on the basis of one additionaldisabling nonfatal stroke per 1000 patients, and counting disablingstroke as an end point equivalent to death in the hospital,produce a cost-effectiveness ratio of $36,238. If each additionaldisabling stroke in the t-PA group required nursing home carefor an average of 15 years, then the cost-effectiveness ratiowould be $42,400.
Subgroup Analyses
We calculated incremental cost-effectiveness ratios for eightclinical subgroups defined by age and location of the infarction(Table 3). The number of years of life added by treatment witht-PA was greater for older patients than for younger patientsand greater for anterior than for inferior infarction. For patientswith anterior myocardial infarction, cost-effectiveness ratioswere above $50,000 only for subjects 40 years of age or younger.For patients with inferior myocardial infarction, values wereabove $50,000 for subjects up to 60 years of age.
Table 3. Cost-Effectiveness Ratios for t-PA as Compared with Streptokinase in the Primary Analysis and for Selected Subgroups of Patients.
Discussion
The substitution of accelerated t-PA for streptokinase in thetreatment of acute myocardial infarction yields increased healthbenefits at a cost comparable to those of other expensive therapiesroutinely considered worthwhile. Benchmarks against which theaverage comparative cost-effectiveness ratio of t-PA ($32,678per year of life saved) can be measured include that of coronarybypass surgery as compared with medical therapy for left maincoronary artery disease ($7,000 per year of life saved), thatof medical therapy as compared with no therapy for severe hypertension($20,000 per year of life saved), and that of hemodialysis ascompared with no dialysis for chronic renal failure ($35,000per year of life saved).16 The upper limit for an acceptablecost-effectiveness ratio remains controversial, but values ofmore than $100,000 per year of life saved are generally consideredtoo high. Most previous economic analyses of thrombolytic therapyhave compared therapy with no therapy rather than comparingdifferent agents.16,17,18 Several earlier attempts to examinethe incremental cost effectiveness of t-PA relative to streptokinasehave made assumptions that are inappropriate in the light ofthe findings of the GUSTO study.1,19,20 However, Naylor et al.found that treatment with t-PA was cost effective, providingthat the drug's beneficial effect on survival, as compared withstreptokinase, was sustained for five years.21
Sensitivity Analyses
Our sensitivity analysis examined the effects of altering thekey assumptions of the cost-effectiveness analysis, such asour estimate of 14 years of life saved per 100 patients treatedwith t-PA. This estimate was based on our survival model, onthe increase in one-year survival observed in patients treatedwith t-PA as compared with those treated with streptokinase,and on an assumption that the survival curves for the two treatmentgroups would remain parallel after one year. The assumptionthat the survival curves will remain parallel is supported bythe findings of other studies indicating that the benefit ofthrombolysis is sustained through five years of follow-up.22,23,24,25In our sensitivity analysis of the assumed increase in survival,a threshold cost-effectiveness ratio of $50,000 per year oflife saved was not exceeded until the increased survival forthe t-PA group fell below 7 years of life added per 100 patientstreated; a threshold value of $100,000 per year of life savedwas not reached until the added years of life per 100 patientstreated fell below 3.
Our results were not sensitive to changes in our estimates ofcosts. Only when the assumed increase in costs attributableto treatment with t-PA during the first year was 1.5 times greaterthan the value used in our study did the resulting cost-effectivenessratio exceed $50,000 per year of life saved. If the patientswho received t-PA were assumed to have continuing additionalcosts of about $1,100 per year (a figure projected from thenonsignificant cost difference observed in the second six monthsof follow-up) past the second follow-up year, the cost-effectivenessratio became greater than $50,000. However, there is no basisin the empirical data from the GUSTO study for expecting suchlong-term cost differences between the two treatments.
Importance of Disabling Strokes
One important question is the extent to which the additionalhemorrhagic strokes produced by t-PA may cancel out some ofthe observed increase in survival, thereby making t-PA lessattractive and less cost effective.1 However, even the mostunfavorable assumptions about nonfatal disabling stroke that patients with stroke had no increase in survival due tot-PA and that each patient would require 15 years of institutionalcare increased the cost-effectiveness ratio only moderately(to $42,400), because these costs were incurred by only 1 patientper 1000 receiving t-PA.
Subgroup Analyses
As is true of the main GUSTO study, our subgroup analyses shouldbe interpreted cautiously.1 For most of the eight subgroupswe studied, defined on the basis of age and location of theinfarction, the cost-effectiveness ratio was below our benchmarkfigure of $50,000 per year of life saved. The cost-effectivenessratios were least favorable for patients 40 years of age oryounger and for patients 60 years of age or younger with inferior-wallinfarctions, since these groups had the lowest one-year mortalityrates and the smallest increases in survival due to treatmentwith t-PA.26 In our study, we calculated the life expectanciesof treated subgroups on the basis of our survival model, ratherthan on short-term empirical data for each subgroup. This techniqueprovided more stable and consistent estimates than the alternativeapproach and also allowed us to control for the fact that anteriormyocardial infarction was more frequent in older patients.
Conclusions
The routine substitution of accelerated t-PA for streptokinasein the treatment of the approximately 250,000 eligible patientswho have acute myocardial infarction in the United States eachyear would be cost effective by customary criteria. It wouldcost the nation approximately $500 million each year but wouldalso provide 3.5 million additional years of life for patientsafter myocardial infarction. Our analysis can inform the decisionabout whether this should become the standard of care in theUnited States, but society itself must make the choice.
Supported in part by grants from the Agency for Health CarePolicy and Research (HS-05635 and HS-06503), Genentech, theNational Heart, Lung, and Blood Institute (HL-36587 and HL-17670),and the Robert Wood Johnson Foundation.
We are indebted to the international GUSTO investigators at1081 hospitals in 15 countries, without whose hard work andcommitment the present study would not have been possible; toDr. Stephen Pauker for his editorial assistance; to Julia Burchettand Celia Hybels for data-collection support; to Linda Davidson-Rayfor assistance in developing the cost data; to the GUSTO SteeringCommittee for their review of the manuscript and their usefulsuggestions; and to Maria Lee and Serena Smith for assistancein the preparation of the manuscript.
Source Information
From the Economic and Quality of Life Coordinating Center (D.B.M., C.L.N., N.C.-C., J.D.K.) and the Clinical Trials Coordinating Center (R.M.C., K.L.L.), Division of Cardiology, Department of Medicine, and the Division of Biometry, Department of Community and Family Medicine (K.L.L., F.E.H.), Duke University Medical Center, Durham, N.C.; the Division of Health Services Research, Department of Health Research and Policy, Stanford University School of Medicine, Palo Alto, Calif. (M.A.H.); the Department of Medicine, University of Toronto, and the Institute for Clinical Evaluative Sciences, Toronto (C.D.N.); the Department of Medicine, University of Alberta, Edmonton (P.W.A.); Tel Aviv Sorasky University Medical Center, Tel Aviv, Israel (G.B.); the Cardiology Department, Green Lane Hospital, Auckland, New Zealand (H.W.); Erasmus University, Rotterdam, the Netherlands (M.L.S.); the National Health and Medical Research Council Clinical Trials Centre, University of Sydney, Sydney, Australia (J.S.); and the Department of Cardiology, Cleveland Clinic, Cleveland (E.J.T.).
Address reprint requests to Dr. Mark at P.O. Box 3485, Duke University Medical Center, Durham, NC 27710.
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