extrapolation of survival curves using external ... · outcomes. guyot’smethod is a useful tool...
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Presented at the ISPOR Europe 2018; November 10–14, 2018; Barcelona, SpainPreviously presented at the text
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Kaplan-Meier Sunitinib CM214
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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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0 12 24 36 48 60 72 84
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
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