Estimating Lifetime Benefits Associated with Immuno-Oncology Therapies: Challenges and Approaches for Overall Survival Extrapolations

Mario J N M Ouwens, Pralay Mukhopadhyay, Yiduo Zhang, Min Huang, Nicholas Latimer, Andrew Briggs, Mario J N M Ouwens, Pralay Mukhopadhyay, Yiduo Zhang, Min Huang, Nicholas Latimer, Andrew Briggs

Abstract

Background: Standard parametric survival models are commonly used to estimate long-term survival in oncology health technology assessments; however, they can inadequately represent the complex pattern of hazard functions or underlying mechanism of action (MoA) of immuno-oncology (IO) treatments.

Objective: The aim of this study was to explore methods for extrapolating overall survival (OS) and provide insights on model selection in the context of the underlying MoA of IO treatments.

Methods: Standard parametric, flexible parametric, cure, parametric mixture and landmark models were applied to data from ATLANTIC (NCT02087423; data cut-off [DCO] 3 June 2016). The goodness of fit of each model was compared using the observed survival and hazard functions, together with the plausibility of corresponding model extrapolation beyond the trial period. Extrapolations were compared with updated data from ATLANTIC (DCO 7 November 2017) for validation.

Results: A close fit to the observed OS was seen with all models; however, projections beyond the trial period differed. Estimated mean OS differed substantially across models. The cure models provided the best fit for the new DCO.

Conclusions: Standard parametric models fitted to the initial ATLANTIC DCO generally underestimated longer-term OS, compared with the later DCO. Cure, parametric mixture and response-based landmark models predicted that larger proportions of patients with metastatic non-small cell lung cancer receiving IO treatments may experience long-term survival, which was more in keeping with the observed data. Further research using more mature OS data for IO treatments is needed.

Conflict of interest statement

Mario J.N.M. Ouwens and Pralay Mukhopadhyay are employees of AstraZeneca. Yiduo Zhang is an employee of AstraZeneca and owns stock in AstraZeneca. Min Huang is a former employee of AstraZeneca. Nicholas Latimer has received consultancy fees from AstraZeneca in relation to material presented in this manuscript, and has also received consultancy fees from Bristol-Myers Squibb and Pfizer for providing modelling advice. Andrew Briggs has received consultancy fees from AstraZeneca in relation to material presented in this manuscript, and has also received consultancy fees from Bristol-Myers Squibb and Merck (who are manufacturers of immuno-oncologic therapies).

Figures

Fig. 1
Fig. 1
Kaplan–Meier curve of overall survival in the ATLANTIC study: a the DCO used for extrapolations (3 June 2016); b the new DCO used for validation (7 November 2017); c both DCOs superimposed. DCO data cut-off
Fig. 2
Fig. 2
Hazard plots of the ATLANTIC overall survival data (muhaz)
Fig. 3
Fig. 3
Curve fits for a best Akaike information criterion models against the Kaplan–Meier, and b models closest to the new DCO end percentage. DCO data cut-off, KM Kaplan–Meier, MCM mixture cure model, nMCM non-mixture cure model

References

    1. National Institute for Health and Care Excellence (NICE). Guide to the methods of technology appraisal. London: NICE; 2013.
    1. Briggs A, Claxton K, Sculpher M. Decision modelling for health economic evaluation. New York: Oxford University Press Inc.; 2006.
    1. Sanders GD, Neumann PJ, Basu A, Brock DW, Feeny D, Krahn M, et al. Recommendations for conduct, methodological practices, and reporting of cost-effectiveness analyses: second panel on cost-effectiveness in health and medicine. JAMA. 2016;316(10):1093‒103.
    1. Canadian Agency for Drugs and Technologies in Health . Guidelines for the economic evaluation of health technologies: Canada. 4. Ottawa: Canadian Agency for Drugs and Technologies in Health; 2017.
    1. Latimer NR. Survival analysis for economic evaluations alongside clinical trials—extrapolation with patient-level data: inconsistencies, limitations, and a practical guide. Med Decis Making. 2013;33(6):743–754. doi: 10.1177/0272989X12472398.
    1. Latimer N. National Institute for Health and Care Excellence (NICE) Decision Support Unit (DSU) Technical Support Document 14: Survival analysis for economic evaluations alongside clinical trials—extrapolation with patient-level data. Report by the NICE DSU, June 2011.
    1. Chen TT. Statistical issues and challenges in immune-oncology. J Immunother Cancer. 2013;1:18. doi: 10.1186/2051-1426-1-18.
    1. Bagust A, Beale S. Survival analysis and extrapolation modeling of time-to-event clinical trial data for economic evaluation: an alternative approach. Med Decis Making. 2014;34(3):343–351. doi: 10.1177/0272989X13497998.
    1. El-Damcese MA, Mustafa A, El-Desouky B, Mustafa ME. The odd generalized exponential Gompertz distribution. Appl Math. 2015;6:2340–2353. doi: 10.4236/am.2015.614206.
    1. Cox C, Chu H, Schneider MF, Munoz A. Parametric survival analysis and taxonomy of hazard functions for the generalized gamma distribution. Stat Med. 2007;26(23):4352–74.
    1. Royston P, Parmar MK. Flexible proportional-hazards and proportional-odds models for censored survival data, with application to prognostic modelling and estimation of treatment effects. Stat Med. 2002;21(15):2175–2197. doi: 10.1002/sim.1203.
    1. Rutherford MJ, Crowther MJ, Lambert PC. The use of restricted cubic splines to approximate complex hazard functions in the analysis of time-to-event data: a simulation study. J Stat Comput Simul. 2015;85(4):777–793. doi: 10.1080/00949655.2013.845890.
    1. Lambert P. Modeling of the cure fraction in survival studies. Stata J. 2007;7(3):351–375. doi: 10.1177/1536867X0700700304.
    1. Othus M, Bansal A, Koepl L, Wagner S, Ramsey S. Accounting for cured patients in cost-effectiveness analysis. Value Health. 2017;20(4):705–709. doi: 10.1016/j.jval.2016.04.011.
    1. Latimer N, Ramsey S, Briggs A. Cost-effectiveness models for innovative oncology treatments: how different methodological approaches can be used to estimate the value of novel therapies. International Society for Pharmaceconomics and Outcomes Research 22nd annual international meeting; 20–24 May 2017: Boston, MA.
    1. Garassino MC, Cho BC, Kim JH, Mazières J, Vansteenkiste J, Lena H, et al. Durvalumab as third-line or later treatment for advanced non-small-cell lung cancer (ATLANTIC): an open-label, single-arm, phase 2 study. Lancet Oncol. 2018;19(4):521–536. doi: 10.1016/S1470-2045(18)30144-X.
    1. Stewart R, Morrow M, Hammond SA, Mulgrew K, Marcus D, Poon E, et al. Identification and characterization of MEDI4736, an antagonistic anti-PD-L1 monoclonal antibody. Cancer Immunol Res. 2015;3(9):1052–1062. doi: 10.1158/2326-6066.CIR-14-0191.
    1. CRAN. Hazard function estimation in survival analysis. 2019. . Accessed 4 Mar 2019.
    1. Rebora P, Salim A, Reilly M. Bshazard: a flexible tool for nonparametric smoothing of the hazard function. The R Journal. 2014;6:114–122. doi: 10.32614/RJ-2014-028.
    1. Rosenberg PS. Hazard function estimation using B-splines. Biometrics 199;51:874–87.
    1. Berkson J, Gage RP. Survival curve for cancer patients following treatment. J Am Stat Assoc. 1952;47:501–515. doi: 10.1080/01621459.1952.10501187.
    1. Schadendorf D, Hodi FS, Robert C, Weber JS, Margolin K, Hamid O, et al. Pooled analysis of long-term survival data from phase II and phase III trials of ipilimumab in unresectable or metastatic melanoma. J Clin Oncol. 2015;33(17):1889–1894. doi: 10.1200/JCO.2014.56.2736.
    1. National Life Tables, United Kingdom 2012‒2014. . Accessed 3 Sep 2018.
    1. United States Life Tables, 2013. . Accessed 3 Sep 2018.
    1. Bullement A, Latimer NR, Bell Gorrod H. Survival extrapolation in cancer immunotherapy: a validation-based case study. Value Health. 2019;22(3):276–283. doi: 10.1016/j.jval.2018.10.007.
    1. Gibson E, Koblbauer I, Begum N, Dranitsaris G, Liew D, McEwan P, et al. Modelling the survival outcomes of immuno-oncology drugs in economic evaluations: a systematic approach to data analysis and extrapolation. Pharmacoeconomics. 2017;35(12):1257–1270. doi: 10.1007/s40273-017-0558-5.

Source: PubMed

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