Abstract
Variation in heart and lung offer acceptance practices may affect numbers of transplanted organs and create variability in waitlist mortality. To investigate these issues, offer acceptance ratios, or adjusted odds ratios, for heart and lung transplant programs individually and for all programs within donation service areas (DSAs) were estimated using offers from donors recovered July 1, 2016-June 30, 2017. Logistic regressions estimated the association of DSA-level offer acceptance ratios with donor yield and local placement of organs recovered in the DSA. Competing risk methodology estimated the association of program-level offer acceptance ratios with incidence and rate of waitlist removals due to death or becoming too sick to undergo transplant. Higher DSA-level offer acceptance was associated with higher yield (odds ratios [ORs]: lung, 1.041.111.19; heart, 1.091.211.35) and more local placement of transplanted organs (ORs: lung, 1.011.121.24; heart, 1.471.691.93). Higher program-level offer acceptance was associated with lower incidence of waitlist removal due to death or becoming too sick to undergo transplant (hazard ratios [HRs]: heart, 0.800.860.93; lung, 0.670.750.83), but not with rate of waitlist removal (HRs: heart, 0.910.981.06; lung, 0.890.991.10). Heart and lung offer acceptance practices affected numbers of transplanted organs and contributed to program-level variability in the probability of waitlist mortality.
Introduction
Offer acceptance practices are receiving increasing attention in the transplant community. Transplant typically confers a survival benefit to candidates compared with remaining on the waiting list1–5; therefore, high offer acceptance may improve survival outcomes for listed candidates through better access to transplant. This relationship was established in liver transplantation, where low program-specific acceptance of the first organ offer was associated with additional mortality on the waiting list.6 Also, offer acceptance is a conceptual component of allocation efficiency because below average offer acceptance may lead to non-local organ placement, longer cold ischemia times and, ultimately, discard. For example, in kidney transplantation, high offer acceptance in a donation service area (DSA) was associated with higher kidney yield (kidneys transplanted from a donor), lower cold ischemia time, and higher odds of local organ placement.7
Despite potentially important practical implications, organ offer data are limited in complex ways that may obscure the expected association between offer acceptance and waitlist mortality. Specifically, organ offer data can only evaluate offers for eventually accepted organs, and programs can screen offers out of match runs (i.e., never receive an offer) from donors with certain clinical characteristics; e.g., lung programs may not transplant lungs from donors who recently smoked. Programs that aggressively screen offers could achieve good apparent offer acceptance despite providing poor access to transplant. Conversely, programs that consider every offer may have low apparent offer acceptance but provide better access to transplant. This may attenuate the expected association of offer acceptance with waitlist mortality because offer acceptance may no longer reflect program-level variability in access to transplant. Thus, due to the difficult and potentially confounding nature of offer acceptance data, an empirical evaluation is necessary to establish the association between offer acceptance and waitlist mortality.
In heart and lung transplantation, organ offer acceptance practices are particularly important due to relatively high rates of waitlist mortality8,9 and low rates of organ yield compared with kidney and liver transplantation.10 Thoracic transplantation differs from kidney transplantation in important ways that may modify the previously established association of organ offer acceptance with organ yield and local placement of transplanted organs.7 First, hearts and lungs are more difficult to transport than kidneys. This could create a stronger dependence between the acceptance practices of programs in proximity to the donor and organ yield. Since low acceptance at nearby programs may be more difficult to overcome, the offer acceptance practices of nearby heart and lung programs could be more strongly associated with organ yield and local placement than kidney offer acceptance. Second, the relatively lower rate of organ yield and lower level of program competition within DSAs could motivate organ procurement organizations (OPOs) to avoid offering and/or recovering hearts or lungs that would be unacceptable to local programs.11 Since offer acceptance data can only evaluate eventually accepted organs,7 this could attenuate the association of heart and lung offer acceptance with organ yield and, especially, local placement of transplanted organs compared with kidney offer acceptance. To determine whether these limitations modify the expected relationships, we estimated the empirical associations of offer acceptance with waitlist mortality, organ yield, and local placement in heart and lung transplantation.
Methods
This study used Scientific Registry of Transplant Recipients (SRTR) data. The SRTR data system includes data on all donors, waitlisted candidates, and transplant recipients in the US, submitted by the members of the Organ Procurement and Transplantation Network (OPTN), and has been described elsewhere.12 The Health Resources and Services Administration, US Department of Health and Human Services, provides oversight of the activities of the OPTN and SRTR contractors.
Heart and Lung Offer Acceptance Models
The heart and lung offer acceptance models were estimated with offer data (called match runs for individual donors) for donors recovered between July 1, 2016, and June 30, 2017. Discrete-time survival models estimated the probability of acceptance separately for offers to pediatric and adult candidates from match runs that ended in acceptance, and were estimated with generalized linear models with a logit-link. The time-scale was the number of previous offers, and a semi-parametric baseline hazard function (i.e., the effect of the number of previous offers) ensured a non-zero probability of acceptance for each offer. The heart offer acceptance model stratified offers to adult candidates by donor age: ≤ 40 or > 40 years. The lung offer acceptance model stratified offers to adult candidates by donor risk level: high-risk donors were aged ≥ 55 years, continually used cigarettes in the past 6 months, or donated after circulatory death. Both models adjusted for several other donor/candidate factors, including PO2 for lung offer acceptance and ejection fraction for heart offer acceptance. Further documentation, including the donor/candidate factors and inclusion/exclusion criteria, are accessible on the SRTR website (https://www.srtr.org/reports-tools/risk-adjustment-models-offer-acceptance/).
Estimation of Program- and DSA-Level Offer Acceptance Ratios
Heart and lung offer acceptance ratios were estimated separately from the offer acceptance models to alleviate the computational burden. After the heart and lung offer acceptance models were estimated, separate generalized linear mixed models (GLMMs) with a logit link estimated the program- and DSA-level offer acceptance ratios with a corresponding random intercept term.13 The GLMMs accounted for donor and candidate characteristics through an offset term equal to the linear predictors from the appropriate offer acceptance model. These program- and DSA-level offer acceptance ratios were used as predictors in the primary analyses.
Association of DSA-Level Offer Acceptance Ratios with Organ Yield and Local Placement
Multiple logistic regressions estimated the association between DSA-level offer acceptance ratios (on log base 2 scale) and the likelihood of organ yield and local placement of transplanted organs from donors recovered in the DSA. The organ yield analysis used recovered donors, i.e., donors from whom any solid organ was recovered for the purpose of transplant. Donors were included only if the recovering DSA had an active heart or lung transplant program between July 1, 2016, and June 30, 2017; this was required to guarantee the existence of the DSA-level offer acceptance ratio. The Supplementary Materials specify the donor characteristics included in each model.
Association of Program-Level Offer Acceptance Ratios with Waitlist Removal Due to Death or Becoming Too Sick to Undergo Transplant
Waitlist mortality was assessed in the competing risk framework for time to removal from the waiting list. The competing risks of waitlist removal were categorized as: removal due to transplant, death, becoming too sick to undergo transplant, or other reasons. We were interested in the effect of offer acceptance on removal due to death or becoming too sick to undergo transplant (i.e., a composite outcome). The analyses used a period prevalent cohort of candidates on the waiting list between July 1, 2016, and June 30, 2017. The time-scale was calendar time. Candidates listed after July 1, 2016, were left-truncated at the time of listing, and candidates still on the waiting list on June 30, 2017, were right-censored. Candidates listed for a heart- or lung-alone transplant were included in the analyses.
The association between program-level offer acceptance (on the log base 2 scale) and the incidence of death or becoming too sick to undergo transplant was estimated with Fine and Gray methodology14 adapted to left-truncation.15 The association of program-level offer acceptance (on the log base 2 scale) with the rate of waitlist removal due to death or becoming too sick to undergo transplant was estimated with a Cox proportional hazards model that censored for removal from the list for reasons other than death or becoming too sick.16,17 The Supplementary Materials specify the candidate characteristics included in each model. Missing data were imputed with the median of the non-missing values, and a missing indicator was included in the regression models. The effect of continuous risk factors was estimated with penalized splines.
The incidence but not the rate of waitlist mortality depends on the rate of transplant.16,17 Since high offer acceptance should affect waitlist mortality through better access to transplant, we anticipated that high offer acceptance would be associated with lower incidence of waitlist mortality but have no association with the rate of waitlist mortality. To better evaluate this hypothesis, we estimated the association of offer acceptance with incidence and rate of deceased donor transplant.
For both heart and lung transplantation, sensitivity analyses considered the effect of program-level offer acceptance ratios on removal due to death and, separately, removal due to becoming too sick to undergo transplant.
Data Analysis
All analyses were completed in R v3.3.3. The logistic models and the corresponding splines for continuous variables were estimated with the “mgcv” package. The survival models were estimated with the “survival” package, and the “mstate” package estimated the appropriate weights for the Fine and Gray methodology.15
Results
Characteristics of Heart and Lung Offers (Table 1)
Table 1.
Summary statistics for offered hearts and lungs across different points in the match run
Offer Characteristics | |||
---|---|---|---|
Offer 1 | Offers 2–10 | Offers > 10 | |
Heart transplantation | |||
Number of offers | 2941 | 10,693 | 24,864 |
Acceptance | 820 (28%) | 1514 (14%) | 667 (3%) |
Candidate characteristics | |||
Age, yrs. | 44 (20) | 48 (18) | 53 (13) |
Status 1 | 2399 (82%) | 6320 (59%) | 8842 (36%) |
Listed with VAD | 1085 (37%) | 4191 (39%) | 11427 (46%) |
Donor characteristics | |||
Age, yrs. | 29 (13) | 32 (14) | 39 (12) |
Ejection fraction, % | 61.9 (6.8) | 61.6 (6.7) | 61.9 (6.8) |
Lung transplantation | |||
Number of offers | 2172 | 9851 | 23486 |
Acceptance | 520 (24%) | 1092 (11%) | 714 (3%) |
Candidate characteristics | |||
Age, yrs. | 51 (16) | 54 (14) | 56 (13) |
Disease group A* | 221 (10%) | 2161 (22%) | 8438 (36%) |
Disease group B* | 125 (6%) | 563 (6%) | 1087 (5%) |
Disease group C* | 369 (17%) | 1331 (14%) | 2578 (11%) |
Disease group D* | 1457 (67%) | 5796 (59%) | 11383 (48%) |
Donor characteristics | |||
Age, yrs. | 35 (14) | 36 (14) | 38 (14) |
P02, mmHg | 372.2 (143.1) | 366.4 (143.1) | 351.2 (148.4) |
Smoking history | 148 (7%) | 789 (8%) | 2290 (10%) |
Note: Values are n (%) or mean (standard deviation). Each comparison was statistically significant.
VAD, ventricular assist device.
Disease groups: A, obstructive lung disease; B, pulmonary vascular disease; C, cystic fibrosis and immunodeficiency disorders; D, restrictive lung disease.
For both heart and lung transplantation, the acceptance rate was highest for the first offer (28% and 24%, respectively) and substantially lower for organs with more than 10 previous offers (3%). Later offers involved, on average, older candidates and older recipients. In lung transplantation, later offers involved lower donor PO2 levels and higher proportions of donors with a smoking history. In contrast, donor ejection fraction for heart offers was relatively constant early and late in the match run.
Characteristics of Heart and Lung Candidates (Table 2)
Table 2.
Summary statistics of candidates waiting for a heart or lung transplant and candidate status at the end of the cohort period (June 30, 2017)
Characteristic at Listing | Lung Candidates | Heart Candidates |
---|---|---|
Total candidates | 4237 | 7619 |
Candidates listed during cohort (after July 1, 2016) | 2837 (67%) | 3883 (51%) |
Candidate age, yrs. | 56 (13) | 53 (13) |
Candidate male sex | 2157 (51%) | 5739 (75%) |
Waiting list status on June 30, 2017 | ||
Still on waiting list | 1372 (32%) | 3600 (47%) |
Removed due to death or becoming too sick | 333 (8%) | 571 (7%) |
Removed due to transplant | 2344 (55%) | 2855 (37%) |
Removed due to other reasons | 188 (4%) | 593 (8%) |
Note: Values are n (%) or mean (standard deviation). Removed due to death or becoming too sick was the only comparison that was not statistically significant.
Lung candidates were more likely to be listed during the cohort, or after July 1, 2016, than heart candidates (67% and 51%, respectively). Lung candidates included in the period prevalent cohort were most likely to have undergone transplant (55%) or to remain on the waiting list (32%) at the end of the cohort (June 30, 2017). In contrast, removal from the waiting list due to death or becoming too sick to undergo transplant (8%) or other reasons (4%) occurred less often. Heart candidates were less likely to undergo transplant and more likely to remain on the waiting list than lung candidates (37% and 47%, respectively).
Association of Heart and Lung Offer Acceptance with Organ Yield and Local Placement (Figure 1)
Figure 1.
The adjusted odds ratios for a doubling in the DSA-level offer acceptance ratios for organ yield and local placement of organs recovered in the local DSA. The organ yield analysis included recovered donors, and the local placement analysis included transplanted organs. The heart and lung analyses adjusted for common donor factors: hepatitis C, hepatitis B, history of hypertension, diabetes status, insulin dependence, mechanism of death, Public Health Service increased infectious risk, sex, blood type, cause of death, circumstance of death, past or current cigarette use, past or current cocaine use, past or current use of other drugs, current alcohol use, history of cancer, cardiac arrest after brain death, history of myocardial infarction, protein in urine, recovery outside of the contiguous United States, pO2, pO2/fiO2, serum creatinine, body mass index, and age. The heart models also adjusted for ejection fraction, and the lung models for time between support withdrawal and cross-clamp for donation after circulatory death. DSA, donation service area.
For both heart and lung transplantation, DSA-level offer acceptance was associated with organ yield and local placement of donors recovered in the DSA. Higher offer acceptance was associated with higher odds of organ yield (odds ratios [OR]: heart, 1.091.211.35; lung, 1.041.111.19) and local placement of organs recovered in the DSA (OR: heart, 1.471.691.93; lung, 1.011.121.24). For example, doubling the DSA-level offer acceptance ratio was associated with 21% and 11% higher donor yield of, respectively, hearts and lungs. Additionally, the association of lung offer acceptance with local placement of transplanted lungs was relatively weak, especially in comparison with heart transplantation.
Association of Program-Level Heart Offer Acceptance with Incidence and Rate of Transplant and Waitlist Mortality (Figure 2)
Figure 2.
The adjusted hazard ratios for a doubling in the program-level heart offer acceptance ratios for the incidence and rate of removal from the waiting list due to transplant, death, being too sick to undergo transplant, and a composite of death and being too sick to undergo transplant. The distinguishing difference between incidence and rate is that incidence depends on the rate of every removal reason, while rate is independent of the other removal reasons. The analyses adjusted for several candidate characteristics at listing: sex, blood type, life support, height, missing height, weight, age at listing, intra-aortic balloon pump, drug-treated hypertension, cardiovascular disease, peripheral vascular disease, pulmonary artery diastolic pressure, missing pulmonary artery diastolic pressure, current or former smoking, prior cardiac surgery, listed after July 1, 2016, and time on the list on July 1, 2016.
Heart offer acceptance was strongly associated with both incidence (hazard ratio [HR]: 1.331.381.43) and rate of waitlist removal due to undergoing transplant (HR: 1.341.391.44). Heart offer acceptance also had the anticipated association with incidence (HR: 0.800.860.93) but not rate of waitlist death or removal due to becoming too sick to undergo transplant (HR: 0.910.981.06). For example, a doubling of the offer acceptance ratios between heart transplant programs was associated with a 14% lower hazard for incidence of waitlist removal due to death or becoming too sick. Heart offer acceptance had a slightly stronger association with incidence of waitlist removal due to becoming too sick (HR: 0.720.810.90), and an attenuated association with incidence of waitlist removal due to death (HR: 0.850.941.05). In contrast, heart offer acceptance was not associated with the rate of waitlist removal for the composite endpoint (HR: 0.910.981.06) or, individually, for death (HR: 0.951.061.19) or becoming too sick (HR: 0.820.911.02).
Association of Program-Level Lung Offer Acceptance with Incidence and Rate of Transplant and Waitlist Mortality (Figure 3)
Figure 3.
The adjusted hazard ratios for a doubling in the program-level lung offer acceptance ratios for the incidence and rate of removal from the waiting list due to transplant, death, being too sick to undergo transplant, and a composite of death and being too sick to undergo transplant. The distinguishing difference between incidence and rate is that incidence depends on the rate of every removal reason, while rate is independent of the other removal reasons. The analyses adjusted for several candidate characteristics at listing: sex, blood type, life support, height, missing height, weight, age at listing, history of cigarette use, prior lung surgery, disease grouping, lung allocation score at listing, listed after July 1, 2016, and time on the list on July 1, 2016.
Lung offer acceptance was strongly associated with incidence (HR: 1.521.581.64) and rate of waitlist removal due to undergoing transplant (HR: 1.521.571.63). Lung offer acceptance also had the anticipated association with incidence (HR: 0.670.750.83) but not rate of waitlist death or removal due to becoming too sick to undergo transplant (HR: 0.890.991.10). For example, a doubling of the offer acceptance ratios between lung transplant programs was associated with an approximately 25% lower hazard for incidence of waitlist removal due to death or becoming too sick. Similar associations were observed when separately considering removal due to death (HRs: incidence, 0.620.720.84; rate, 0.800.931.09) and becoming too sick (HRs: incidence, 0.670.780.91; rate, 0.891.041.21).
Discussion
Despite the limitations of organ offer data, we found that high heart and lung offer acceptance within a DSA was associated with higher organ yield and lower incidence but not rate of waitlist mortality. The distinguishing difference between waitlist mortality incidence and rate is that the former depends on the transplant rate.16,17 Since high offer acceptance was strongly associated with a higher transplant rate, programs with high offer acceptance likely had lower incidence of waitlist mortality because they performed transplants before candidates died or became too sick to undergo transplant. However, offer acceptance was likely not associated with pretransplant care beyond the effect on access to transplant due to lack of an association with the waitlist mortality rate. Thus, reducing variability in heart and lung offer acceptance practices may reduce program-level variability in the incidence of waitlist mortality.
Measuring offer acceptance among heart and lung transplant programs provides opportunities for improving organ yield and reducing variability in waitlist mortality. In particular, the association with organ yield suggests that improving offer acceptance could increase the number of transplants. SRTR recently integrated heart and lung offer acceptance into the program-specific reports to help programs benchmark acceptance practices relative to other programs. SRTR also provides offer acceptance cumulative sum (CUSUM) charts that allow monitoring of more recent offer acceptance practices and may help programs identify periods with unexpectedly low offer acceptance.18 As an alternative approach, information could be provided during the offer process to improve acceptance, e.g., the probability of receiving a better offer within a month.19 Further research should investigate the efficacy of different approaches for improving offer acceptance.
Approaches to reducing variability in offer acceptance have potential limitations. The most important is programs’ ability to screen offers out of match runs from donors with certain characteristics, e.g., never receive offers from donors aged older than 50 years. This limitation could cause policy and/or regulatory interventions to incentivize programs to screen offers out of match runs without necessarily improving access to transplant. While screening offers out of match runs could improve organ yield by reducing the number of offers required to place an organ, offer acceptance provides an opportunity to begin a discussion of an important determinant in access to transplant. Thus, further research should consider interventions that try to improve the overall acceptance rate, which may improve organ yield, while simultaneously reducing the variability in access to transplant across programs.
Offer acceptance is a pretransplant metric that does not account for posttransplant outcomes. This is potentially problematic because programs with high offer acceptance may be transplanting organs from high-risk donors that may not confer significant survival benefit.20 While transplant rates are not associated with posttransplant outcomes,21 a metric that integrates pretransplant and posttransplant outcomes may better describe the overall patient experience at a program. For example, a recently proposed metric considered survival among lung candidates who underwent transplant,22 although survival from listing could also provide a straightforward alternative approach for integrating the pretransplant and posttransplant experience at a program. Alternatively, clinical support tools may help characterize scenarios in which accepting an offer of a heart or lung may confer a survival benefit relative to declining and remaining on the waiting list for a better offer. There is substantial research on clinical support tools in kidney and liver transplantation,23–27 but a relative paucity of such tools in heart and lung transplantation. This is particularly important because the organ shortage in heart and lung transplantation is less severe due to fewer transplant candidates,8,9 which may lead to more instances in which declining an offer could maximize patient survival compared with kidney or liver transplantation.
While most key variables were included in offer acceptance models, we could not account for all variables. For example, calculated panel-reactive antibodies (CPRA) could affect offer acceptance practices, as offer acceptance for highly sensitized candidates may be lower than expected due to offers from incompatible donors. Lower offer acceptance would likely limit access to transplant and therefore be associated with a higher incidence of waitlist mortality. Unfortunately, CPRA data are insufficiently collected in heart and lung transplantation, although the recent heart policy called for additional data collection for sensitized candidates. The role of CPRA in offer acceptance and waitlist mortality should be revisited after collection of sufficient relevant data.
We have shown that organ offer acceptance practices may serve as an important tool for reducing variability in access to heart and lung transplant and improving organ yield. Reducing variability in access to transplant is especially important due to the corresponding increase in the incidence of waitlist mortality that results from low offer acceptance.
Supplementary Material
Acknowledgments
This work was conducted under the auspices of the Minneapolis Medical Research Foundation, contractor for the Scientific Registry of Transplant Recipients, as a deliverable under contract number HHSH250201500009C (US Department of Health and Human Services, Health Resources and Services Administration, Healthcare Systems Bureau, Division of Transplantation). As a US Government-sponsored work, there are no restrictions on its use. The views expressed herein are those of the authors and not necessarily those of the US Government. AKI was partially supported by R01 HS 24527.
The authors thank SRTR colleague Nan Booth, MSW, MPH, ELS, for manuscript editing.
Abbreviations:
- DSA
donation service area
- OPO
organ procurement organization
- OPTN
Organ Procurement and Transplantation Network
- SRTR
Scientific Registry of Transplant Recipients
Footnotes
Supporting Information
Additional Supporting Information may be found online in the supporting information tab for this article.
Supplemental Methods
Disclosure
The authors of this manuscript have no conflicts of interest to disclose as described by the American Journal of Transplantation.
References
- 1.Thabut G, Ravaud P, Christie JD, et al. Determinants of the survival benefit of lung transplantation in patients with chronic obstructive pulmonary disease. Am J Respir Crit Care Med. 2008; 177: 1156–1163. [DOI] [PubMed] [Google Scholar]
- 2.Thabut G, Mal H, Castier Y et al. Survival benefit of lung transplantation for patients with idiopathic pulmonary fibrosis. J Thorac Cardiovasc Surg. 2003; 126: 469–475. [DOI] [PubMed] [Google Scholar]
- 3.Massie AB, Luo X, Chow EK, Alejo JL, Desai NM, Sevev DL. Survival benefit of primary deceased donor transplantation with high-KDPI kidneys. Am J Transplant. 2014; 14:. 2310–2316. [DOI] [PubMed] [Google Scholar]
- 4.Gill J, Dong J, Rose C, Gill JS. The risk of allograft failure and the survival benefit of kidney transplantation are complicated by delayed graft function. Kidney Int. 2016; 89: 1331–1336. [DOI] [PubMed] [Google Scholar]
- 5.Schaubel DE, Sima CS, Goodrich NP, Feng S, Merion RM. The survival benefit of deceased donor liver transplantation as a function of candidate disease severity and donor quality. Am J Transplant. 2008; 6: 419–425. [DOI] [PubMed] [Google Scholar]
- 6.Goldberg DS, French B, Lewis JD, et al. Liver transplant center variability in accepting organ offers and its impact on patient survival. J Hepatol. 2016; 64: 843–851. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 7.Wey A, Salkowski N, Kasiske BL, Israni AK, Snyuder JJ Influence of kidney offer acceptance behavior on metrics of allocation efficiency. Clin Transplant. 2017; 31: 1–7. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 8.Colvin M, Smith JL, Skeans MA, et al. OPTN/SRTR 2015 Annual Data Report: Heart. Am J Transplant. 2017; 17(Suppl 1): 286–356. [DOI] [PubMed] [Google Scholar]
- 9.Valapour M, Skeans MA, Smith JM, et al. OPTN/SRTR 2015 Annual Data Report: Lung. Am J Transplant. 2017; 17(Suppl 1): 357–424. [DOI] [PubMed] [Google Scholar]
- 10.Israni AK, Zaun D,Bolch C, et al. OPTN/SRTR 2015 Annual Data Report: Deceased Organ Donation. Am J Transplant. 2017; 17(Suppl 1): 503–542. [DOI] [PubMed] [Google Scholar]
- 11.Croome KP, Lee DD, Keaveny AP, Taner CB. Noneligible donors as a strategy to decrease the organ shortage. Am J Transplant. 2017; 17: 1649–1655. [DOI] [PubMed] [Google Scholar]
- 12.Leppke S, Leighton T, Zaun D, et al. Scientific Registry of Transplant Recipients: Collecting, analyzing, and reporting data on transplantation in the United States. Transplant Rev. 2013; 27: 50–56. [DOI] [PubMed] [Google Scholar]
- 13.Diggle P, Heagerty P, Liang KY, Zeger S. Analysis of Longitudinal Data. Second Edition Oxford: Oxford University Press, 2002. [Google Scholar]
- 14.Fine JP, Gray RJ. A proportional hazards model for the subdistribution of a competing risk. J Am Statistical Assoc. 1999; 94: 496–509. [Google Scholar]
- 15.Geskus RB. Cause-specific cumulative incidence estimation and the Fine and Gray model under both left truncation and right censoring. Biometrics. 2011; 76: 39–49. [DOI] [PubMed] [Google Scholar]
- 16.Kalbfleisch JD, Prentice RL. The Statistical Analysis of Failure Time Data. Second Edition Hoboken: John Wiley and Sons, 2002. [Google Scholar]
- 17.Andersen PK, Geskus RB, de Witte T, Putter H. Competing risks in epidemiology: possibilities and pitfalls. Int J Epidemiol. 2012; 41: 861–870. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 18.Snyder JJ, Salkowski N, Zaun D, et al. New quality monitoring tools provided by the Scientific Registry of Transplant Recipients: CUSUM. Am J Transplant. 2014; 14: 515–523. [DOI] [PubMed] [Google Scholar]
- 19.Bertsimas D, Kung J, Trichakis N, Wojciechowski D, Parsia Vagefi PA. Accept or decline? An analytics-based decision tool for kidney offer evaluation. Transplantation. 2017; 101: 2898–2904. [DOI] [PubMed] [Google Scholar]
- 20.Vock DM, Durheim MT, Tsuang WM, et al. Survival benefit of lung transplantation in the modern era of lung allocation. Ann Am Thorac Soc. 2017; 14: 172–181. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 21.Wey A, Gustafson SK, Salkowski N, et al. Program-specific transplant rate ratios: Influence of allocation priority at listing and association with posttransplant evaluations. Am J Transplant. In press. [DOI] [PubMed] [Google Scholar]
- 22.Maldonado DA, RoyChoudhury A, Lederer DJ. A novel patient-centered “intention-to-treat” metric of US lung transplant center performance. Am J Transplant. In press. doi: 10.1111/ajt.14486. [Epub ahead of print] [DOI] [PMC free article] [PubMed] [Google Scholar]
- 23.Wey A, Salkowski N, Kremers WK, et al. A kidney offer acceptance decision tool to inform the decision to accept an offer or wait for a better kidney. Am J Transplant. In press. doi: 10.1111/ajt.14506. [Epub ahead of print] [DOI] [PMC free article] [PubMed] [Google Scholar]
- 24.Patzer RE, Basu M, Larsen CP, et al. iChoose Kidney: a clinical decision aid for kidney transplantation vs dialysis treatment. Transplantation. 2016; 100: 630–639. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 25.Chow EK, Massie AB, Muzaale AD, et al. Identifying appropriate recipients for CDC infectious risk donor kidneys. Am J Transplant. 2013; 13: 1227–1234. [DOI] [PubMed] [Google Scholar]
- 26.Volk ML, Goodrich N, Lai JC, Sonnenday C, Shedden K. Decision support for organ offers in liver transplantation. Liver Transpl. 2015; 21: 784–791. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 27.Alagoz O, Maillart LM, Schaefer AJ, Roberts MS. Determining the acceptance of cadaveric livers using an implicit model of the waiting list. Operations Research. 2001; 55: 24–36. [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.