extrapolation of survival curves using external ... · outcomes. guyot’smethod is a useful tool...

1
Presented at the ISPOR Europe 2018; November 10–14, 2018; Barcelona, Spain Copies of this poster obtained through Quick Response (QR) Code or text message are for personal use only and may not be reproduced without written permission of the authors 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% 0 12 24 36 48 60 Survival probability Time (months) Kaplan-Meier Sunitinib CM214 Log-normal Log-logistic Generalized Gamma Spline 1 knot normal 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% 0 12 24 36 48 60 Survival probability Time (months) Kaplan-Meier Sunitinib CM214 Log-normal Generalized Gamma Spline 1 knot – hazard Spline 1 knot – odds Background The extrapolation of survival outcomes is key to cost-effectiveness (CE) analyses in oncology, especially when progression-free (PFS) and overall survival (OS) outcomes have limited trial follow-up. Different parametric models can achieve a comparable fit to the randomised clinical trial (RCT) data but generate different long-term predictions, due to the variability of the tails of survival distributions. Guidance from the NICE DSU by Latimer [1] suggests that the choice of distribution should be based on internal and external validation, the latter usually being undertaken by visual inspection to inform model choice. The CheckMate 214 trial, a phase 3, randomized, open-label study of nivolumab combined with ipilimumab versus sunitinib in subjects with previously untreated, advanced or metastatic RCC [2], was used to illustrate the Guyot’s approach to include real-world data into extrapolations of survival outcomes. The population of interest focused on first line metastatic RCC patients with intermediate to poor prognosis based on IMDC criteria. Objective The aim of this study was to evaluate the impact of the use of the method developed by Guyot et al. to include external data in statistical extrapolation models, using survival outcomes from Checkmate 214 in first line advanced or metastatic RCC patients with intermediate to poor prognosis. Methods Since mean survival times are very sensitive to assumptions around what occurs after the trial follow-up (in the tail of the curves), there is a need to improve the extrapolation of survival data for use in CE analyses. This poster presents a method developed by Guyot et al. using external information to extrapolate survival curves based on data from the Checkmate 214 study. External information may be observational data, other RCT data, expert opinion, enabling data reconstruction through published Kaplan-Meier curves. The idea is to model both the RCT data and external data simultaneously with related parameters. Inclusion of real world data in statistical extrapolation models Guyot et al (2016)[3] developed a method to adjust extrapolations of RCT data using external information with longer follow-up periods. The method is implemented in a Bayesian framework. This method was implemented based on data from the Checkmate 214 study, using the following steps: 1. Identification of external data: a systematic literature review on observational studies was conducted to identify relevant data comparable with characteristics of CheckMate 214 patients. It is indeed key to ensure that patient characteristics are as close as possible to the trial population, thereby ensuring that prognostic variables are not imbalanced. 2. Definition of constraints: two main assumptions were made on the survival of the comparator arm of ChecKMate 214, sunitinib. Conditional survival constraint: The underlying assumption is that the conditional survival in the clinical trial control arm is likely to converge to that of the one observed in observational studies over the long term. This constraint was applied to OS and PFS. The constraint was defined as follows: +1 ) = +1 ) with +1 ) = (+1) () With a binomial likelihood, as each time-point is conditionally independent. General population survival constraint: An additional constraint was set in order to ensure that long-term projections do not exceed survival in the general population, using general population mortality rates. The likelihood of the external data is ~( ,) with the number alive at time and the number at risk at time 0. The constraint is written: = 0, + , > 0 ⇒ > 0, () 3. Estimation of the survival parameters: 100,000 Bayesian Markov Chain Monte Carlo (MCMC) simulations using Winbugs were used to estimate survival parameters, based on the approach presented by Guyot. 4. The results obtained based on the inclusion of two real world studies were compared to extrapolations obtained without the use of the Guyot method. Identification of relevant real-world data Two studies with similar patient characteristics to the Checkmate 214 study were identified from the SLR of real-world studies providing long-term estimates of survival: Verma et al. (2011) [4] and Kubackova et al (2015) [5]. These studies provided long-term estimates of survival for a maximum follow-up period of 107 months. Only Kubackova 2015 reported PFS estimates. Conclusions NICE recommends both internal and external validations for extrapolations of long-term survival outcomes. Guyot’s method is a useful tool for extrapolations of time-to-event data, as it statistically adjusts long-term predictions rather than relying on a simple visual inspection of curves. Therefore, the Guyot’s method appears to be a less subjective method of external validation. Our example showed that the inclusion of external evidence using Guyot’s method had an impact on extrapolations. The Verma study, providing survival estimates over a longer time period, had a larger impact on the results. The conclusions highlight the need to justify and test the choice of external data to adjust extrapolations. Limitations Due to the limited external evidence available in the literature to validate the outputs, the MSKCC risk category was also considered in the identification of relevant external data, which might be a source of heterogeneity for survival estimates. As independent models were used to model PFS and OS, the extrapolation of the nivolumab+ipilimumab arm was not adjusted based on external data, as applying real-world evidence adjustments based on estimates from another drug class was not deemed clinically credible. Long-term outcomes for nivolumab+ipilimumab were not available. References [1] Latimer, N., NICE DSU Technical support document 14: survival analysis for economic evaluations alongside clinical trials - extrapolation with patient-level data. 2011 [2] CA209214 CheckMate 214, CHECKpoint pathway and nivolumab clinical Trial Evaluation [3] Guyot, P., et al., Extrapolation of survival curves from cancer trials using external information. Medical Decision Making, 2017. 37(4): p. 353-366. [4] Verma, J., et al., Impact of tyrosine kinase inhibitors on the incidence of brain metastasis in metastatic renal cell carcinoma. Cancer, 2011. 117(21): p. 4958-4965. [5] Kubackova, K., et al., Comparison of two prognostic models in patients with metastatic renal cancer treated with sunitinib: a retrospective, registry- based study. Targeted oncology, 2015. 10(4): p. 557-563. Acknowledgments The patients and families who made this trial possible The clinical study teams who participated in the trial Bristol-Myers Squibb (Princeton, NJ) and ONO Pharmaceutical Company Ltd. (Osaka, Japan) The study was supported by Bristol-Myers Squibb All authors contributed to and approved the presentation; writing and editorial assistance was provided by Amaris, funded by Bristol-Myers Squibb Extrapolation of survival curves using external information: implementation of Guyot’s method in previously untreated advanced or metastatic renal cell carcinoma Cawston H 1 , Genestier V 1 , Dale P 2 , Doan J 3 , Malcolm B 2 1 Amaris, Paris, France; 2 Bristol-Myers Squibb, Uxbridge, United-Kingdom; 3 Bristol-Myers Squibb, Princeton, NJ, USA PRM228 Figure 2. Independent PFS – Extrapolations with Guyot’s method Figure 3. Independent OS – Extrapolations with Guyot’s method Extrapolations with Guyot’s method Extrapolation of PFS (Figure 2) The 1 knot-hazard spline presented the lowest AIC and BIC scores. This model was thus selected for the base case using Guyot’s method. For the sunitinib arm, the predicted PFS without external data adjustment was 25% at 2 years, while it was 17% with external data. At 5 years, the unadjusted estimate was 9%, while it was reduced to 2% including external data (Table 2). Table 1. Studies of interest from the SLR Figure 1. OS and PFS variations Results Parametric extrapolations The models with the best fit based on AIC and BIC criteria were selected for this analysis, chosen from a selection of parametric and spline survival distributions (Figure 1). Since external data was only identified for the comparator arm sunitinib, independent models for each arm were selected. Hence, the extrapolations of the nivolumab+ipilimumab arm were not impacted by the adjustments. Besides, since nivolumab + ipilimumab has just recently been available, there was no real-world evidence (RWE) with longer follow-up data. As presented in Figure 1, the unadjusted models generated different long-term predictions for PFS and OS after the end of the CheckMate 214 follow-up period, although the differences of AIC and BIC were sometimes small. External study Treatment received Risk system used Median age % of men Location N (intermediate to poor) Follow-up period median (min-max) Verma, 2011 Sunitinib or sorafenib MSKCC 60 67.0% USA 302 16.2 (0 – 107) months Kubackova, 2015 Sunitinib MSKCC 64 67.9% Czech Republic 435 4.8 (0.1 – 39.7) months Kubackova, 2015 Sunitinib IMDC 64 67.9% Czech Republic 386 4.8 (0.1 – 39.7) months CheckMate 214 Nivolumab + ipilimumab or sunitinib IMDC 62 73.0% Multi-countries 200 24 months OS extrapolation results (Figure 3) The log-normal model minimised AIC and BIC scores across trial arms. The inclusion of the Verma study using Guyot’s method had a greater impact than the Kubackova study, mainly due to the longer follow-up, while only 3 data points were used for the Kubackova study. For the sunitinib arm, the predicted OS without external data adjustment based on the log-normal model was 53% at 2 years, while it was 48% with external data. At 5 years, the unadjusted estimate was 27%, while it was reduced to 21% including external data (Table 2). Survival at 1 year Survival at 2 years Survival at 5 years Survival at 10 years Survival at 20 years PFS Base case sunitinib 41.03% 25.24% 9.63% 3.02% 0.54% Kubackova adjusted (IMDC) sunitinib (% difference with base case) 39.59% (-3.51) 17.33% (-31.34) 1.90% (-80.27) 0.06% (-98.01) 0.00% (-100) OS Base case sunitinib 72.13% 52.54% 26.42% 12.43% 4.68% Kubackova adjusted (IMDC) sunitinib (% difference with base case) 71.78% (-0.49) 51.67% (-1.66) 25.55% (-3.29) 11.47% (-7.72) 4.13% (-11.75) Verma adjusted (MSKCC) sunitinib (% difference with base case) 70.38% (-2.43) 48.10% (-8.45) 20.57% (-22.14) 8.01% (-35.56) 2.34% (-50) Table 2. Predicted progression-free and overall survival with and without adjustment 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% 0 12 24 36 48 60 72 Base case nivolumab+ipilimumab (1 knot-hazard independent spline) Base case sunitinib (1 knot-hazard independent spline) Kubackova adjusted (IMDC) sunitinib Kubackova (IMDC) EXT End of trial follow-up 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% 0 12 24 36 48 60 72 84 Base case nivolumab+ipilimumab (log-normal independent) Base case sunitinib (log-normal independent) Kubackova adjusted (IMDC) sunitinib Verma adjusted (MSKCC) sunitinib Kubackova (IMDC) EXT Verma (MSKCC) EXT End of trial follow-up Overall survival Progression free survival Email: [email protected] To request a copy of this poster: Scan QR code via a barcode reader application By requesting this content, you agree to receive a one-time communication using automated technology. Msg. & data rates may apply. Links are valid for 30 days after the congress presentation date. 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  • Presented at the ISPOR Europe 2018; November 10–14, 2018; Barcelona, SpainPreviously presented at the text

    Copies of this poster obtained through Quick Response (QR) Code or text message are for personal use only and may not be reproduced without written permission of the authors

    Email:

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    Log-logistic

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    Background

    ● The extrapolation of survival outcomes is key to cost-effectiveness (CE) analyses in oncology, especially

    when progression-free (PFS) and overall survival (OS) outcomes have limited trial follow-up.

    ● Different parametric models can achieve a comparable fit to the randomised clinical trial (RCT) data but

    generate different long-term predictions, due to the variability of the tails of survival distributions.

    ● Guidance from the NICE DSU by Latimer [1] suggests that the choice of distribution should be based on

    internal and external validation, the latter usually being undertaken by visual inspection to inform model

    choice.

    ● The CheckMate 214 trial, a phase 3, randomized, open-label study of nivolumab combined with ipilimumab

    versus sunitinib in subjects with previously untreated, advanced or metastatic RCC [2], was used to

    illustrate the Guyot’s approach to include real-world data into extrapolations of survival outcomes. The

    population of interest focused on first line metastatic RCC patients with intermediate to poor prognosis

    based on IMDC criteria.

    Objective● The aim of this study was to evaluate the impact of the use of the method developed by Guyot et al. to

    include external data in statistical extrapolation models, using survival outcomes from Checkmate 214

    in first line advanced or metastatic RCC patients with intermediate to poor prognosis.

    Methods

    ● Since mean survival times are very sensitive to assumptions around what occurs after the trial follow-up (in

    the tail of the curves), there is a need to improve the extrapolation of survival data for use in CE analyses.

    This poster presents a method developed by Guyot et al. using external information to extrapolate survival

    curves based on data from the Checkmate 214 study.

    ● External information may be observational data, other RCT data, expert opinion, enabling data

    reconstruction through published Kaplan-Meier curves. The idea is to model both the RCT data and

    external data simultaneously with related parameters.

    Inclusion of real world data in statistical extrapolation models

    ● Guyot et al (2016)[3] developed a method to adjust extrapolations of RCT data using external information

    with longer follow-up periods. The method is implemented in a Bayesian framework. This method was

    implemented based on data from the Checkmate 214 study, using the following steps:

    1. Identification of external data: a systematic literature review on observational studies was conducted to

    identify relevant data comparable with characteristics of CheckMate 214 patients. It is indeed key to

    ensure that patient characteristics are as close as possible to the trial population, thereby ensuring that

    prognostic variables are not imbalanced.

    2. Definition of constraints: two main assumptions were made on the survival of the comparator arm of

    ChecKMate 214, sunitinib.

    • Conditional survival constraint:

    The underlying assumption is that the conditional survival in the clinical trial control arm is likely to

    converge to that of the one observed in observational studies over the long term. This constraint was

    applied to OS and PFS. The constraint was defined as follows:

    𝐶𝑆𝑒𝑥𝑡 𝑖 + 1 𝑖) = 𝐶𝑆𝑐𝑜𝑛𝑡𝑟𝑜𝑙 𝑖 + 1 𝑖)

    with 𝐶𝑆 𝑖 + 1 𝑖) =𝑆(𝑖+1)

    𝑆(𝑖)

    With a binomial likelihood, as each time-point is conditionally independent.

    • General population survival constraint:

    An additional constraint was set in order to ensure that long-term projections do not exceed survival in

    the general population, using general population mortality rates. The likelihood of the external data is

    𝑟~𝐵𝑖𝑛(𝑆𝐺𝑃 𝑡 , 𝑛) with 𝑟 the number alive at time 𝑡 and 𝑛 the number at risk at time 0. The constraint iswritten:

    𝑆𝐺𝑃 𝑡 = 𝑆0,𝑅𝐶𝑇 𝑡 + 𝛽, 𝛽 > 0 ⇒ 𝑆𝐺𝑃 𝑡 > 𝑆0,𝑅𝐶𝑇(𝑡)

    3. Estimation of the survival parameters: 100,000 Bayesian Markov Chain Monte Carlo (MCMC)

    simulations using Winbugs were used to estimate survival parameters, based on the approach

    presented by Guyot.

    4. The results obtained based on the inclusion of two real world studies were compared to extrapolations

    obtained without the use of the Guyot method.

    Identification of relevant real-world data

    ● Two studies with similar patient characteristics to the Checkmate 214 study were identified from the SLR of

    real-world studies providing long-term estimates of survival: Verma et al. (2011) [4] and Kubackova et al

    (2015) [5]. These studies provided long-term estimates of survival for a maximum follow-up period of 107

    months. Only Kubackova 2015 reported PFS estimates.

    Conclusions

    ● NICE recommends both internal and external validations for extrapolations of long-term survival

    outcomes. Guyot’s method is a useful tool for extrapolations of time-to-event data, as it statistically

    adjusts long-term predictions rather than relying on a simple visual inspection of curves. Therefore,

    the Guyot’s method appears to be a less subjective method of external validation.

    ● Our example showed that the inclusion of external evidence using Guyot’s method had an impact on

    extrapolations. The Verma study, providing survival estimates over a longer time period, had a larger

    impact on the results.

    ● The conclusions highlight the need to justify and test the choice of external data to adjust

    extrapolations.

    ● Limitations

    – Due to the limited external evidence available in the literature to validate the outputs, the MSKCC

    risk category was also considered in the identification of relevant external data, which might be a

    source of heterogeneity for survival estimates.

    – As independent models were used to model PFS and OS, the extrapolation of the

    nivolumab+ipilimumab arm was not adjusted based on external data, as applying real-world

    evidence adjustments based on estimates from another drug class was not deemed clinically

    credible. Long-term outcomes for nivolumab+ipilimumab were not available.

    References[1] Latimer, N., NICE DSU Technical support document 14: survival analysis for economic evaluations alongside clinical trials - extrapolation with

    patient-level data. 2011

    [2] CA209214 CheckMate 214, CHECKpoint pathway and nivolumab clinical Trial Evaluation

    [3] Guyot, P., et al., Extrapolation of survival curves from cancer trials using external information. Medical Decision Making, 2017. 37(4): p. 353-366.

    [4] Verma, J., et al., Impact of tyrosine kinase inhibitors on the incidence of brain metastasis in metastatic renal cell carcinoma. Cancer, 2011. 117(21):

    p. 4958-4965.

    [5] Kubackova, K., et al., Comparison of two prognostic models in patients with metastatic renal cancer treated with sunitinib: a retrospective, registry-

    based study. Targeted oncology, 2015. 10(4): p. 557-563.

    Acknowledgments• The patients and families who made this trial possible

    • The clinical study teams who participated in the trial

    • Bristol-Myers Squibb (Princeton, NJ) and ONO Pharmaceutical Company Ltd. (Osaka, Japan)

    • The study was supported by Bristol-Myers Squibb

    • All authors contributed to and approved the presentation; writing and editorial assistance was

    provided by Amaris, funded by Bristol-Myers Squibb

    Extrapolation of survival curves using external information: implementation of Guyot’s method in previously untreated advanced or

    metastatic renal cell carcinomaCawston H1, Genestier V1, Dale P2, Doan J3, Malcolm B2

    1Amaris, Paris, France; 2Bristol-Myers Squibb, Uxbridge, United-Kingdom; 3Bristol-Myers Squibb, Princeton, NJ, USA

    PRM228

    Figure 2. Independent PFS – Extrapolations with Guyot’s method

    Figure 3. Independent OS – Extrapolations with Guyot’s method

    Extrapolations with Guyot’s method

    ● Extrapolation of PFS (Figure 2)

    – The 1 knot-hazard spline presented the lowest AIC and BIC scores. This model was thus selected for

    the base case using Guyot’s method.

    – For the sunitinib arm, the predicted PFS without external data adjustment was 25% at 2 years, while it

    was 17% with external data. At 5 years, the unadjusted estimate was 9%, while it was reduced to 2%

    including external data (Table 2).

    Table 1. Studies of interest from the SLR

    Figure 1. OS and PFS variations

    Results

    Parametric extrapolations

    ● The models with the best fit based on AIC and BIC criteria were selected for this analysis, chosen from a

    selection of parametric and spline survival distributions (Figure 1). Since external data was only identified

    for the comparator arm sunitinib, independent models for each arm were selected. Hence, the

    extrapolations of the nivolumab+ipilimumab arm were not impacted by the adjustments. Besides, since

    nivolumab + ipilimumab has just recently been available, there was no real-world evidence (RWE) with

    longer follow-up data.

    ● As presented in Figure 1, the unadjusted models generated different long-term predictions for PFS and

    OS after the end of the CheckMate 214 follow-up period, although the differences of AIC and BIC were

    sometimes small.

    External

    study

    Treatment

    received

    Risk

    system

    used

    Median

    age % of men Location

    N

    (intermediate

    to poor)

    Follow-up period median

    (min-max)

    Verma, 2011Sunitinib or sorafenib

    MSKCC 60 67.0% USA 30216.2 (0 – 107)

    months

    Kubackova, 2015

    Sunitinib MSKCC 64 67.9% Czech Republic 4354.8 (0.1 – 39.7)

    months

    Kubackova, 2015

    Sunitinib IMDC 64 67.9% Czech Republic 3864.8 (0.1 – 39.7)

    months

    CheckMate214

    Nivolumab + ipilimumab or

    sunitinibIMDC 62 73.0% Multi-countries 200 24 months

    ● OS extrapolation results (Figure 3)

    – The log-normal model minimised AIC and BIC scores across trial arms.

    – The inclusion of the Verma study using Guyot’s method had a greater impact than the Kubackova

    study, mainly due to the longer follow-up, while only 3 data points were used for the Kubackova study.

    – For the sunitinib arm, the predicted OS without external data adjustment based on the log-normal model

    was 53% at 2 years, while it was 48% with external data. At 5 years, the unadjusted estimate was 27%,

    while it was reduced to 21% including external data (Table 2).

    Survival at 1

    year

    Survival at 2

    years

    Survival at 5

    years

    Survival at 10

    years

    Survival at 20

    years

    PFS

    Base case sunitinib 41.03% 25.24% 9.63% 3.02% 0.54%

    Kubackova adjusted (IMDC) sunitinib (%

    difference with base case)

    39.59% (-3.51) 17.33% (-31.34) 1.90% (-80.27) 0.06% (-98.01) 0.00% (-100)

    OS

    Base case sunitinib 72.13% 52.54% 26.42% 12.43% 4.68%

    Kubackova adjusted (IMDC) sunitinib (%

    difference with base case)

    71.78% (-0.49) 51.67% (-1.66) 25.55% (-3.29) 11.47% (-7.72) 4.13% (-11.75)

    Verma adjusted (MSKCC) sunitinib (% difference

    with base case)70.38% (-2.43) 48.10% (-8.45) 20.57% (-22.14) 8.01% (-35.56) 2.34% (-50)

    Table 2. Predicted progression-free and overall survival with and without adjustment

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    Base case nivolumab+ipilimumab (1 knot-hazard independent spline)

    Base case sunitinib (1 knot-hazard independent spline)

    Kubackova adjusted (IMDC) sunitinib

    Kubackova (IMDC) EXT

    End of trial follow-up

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    Base case nivolumab+ipilimumab (log-normal independent)Base case sunitinib (log-normal independent)Kubackova adjusted (IMDC) sunitinibVerma adjusted (MSKCC) sunitinibKubackova (IMDC) EXTVerma (MSKCC) EXTEnd of trial follow-up

    Overall survival Progression free survival

    Email: [email protected]

    To request a copy of this poster:

    Scan QR codevia a barcode

    reader applicationBy requesting this content, you agree to receive a one-time communication

    using automated technology. Msg. & data rates may apply. Links are valid

    for 30 days after the congress presentation date.

    Scientific Content On-demand