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Calibration of transition probabilities to model survival of adjuvant trastuzumab for early breast cancer in Indonesia

Published online by Cambridge University Press:  26 March 2025

Arie Rahadi*
Affiliation:
Management Sciences for Health, Arlington, VA, USA
Rizki Tsalatshita Khair Mahardya
Affiliation:
Center for Health Financing Policy and Insurance Management, Gadjah Mada University, Sleman, Yogyakarta, Indonesia
Putri Listiani
Affiliation:
Center for Health Financing Policy and Insurance Management, Gadjah Mada University, Sleman, Yogyakarta, Indonesia
Eva Herlinawaty
Affiliation:
Center for Health Financing and Decentralization Policy, Ministry of Health Republic of Indonesia, Central Jakarta, Jakarta, Indonesia
Ryan Rachmad Nugraha
Affiliation:
Management Sciences for Health, Arlington, VA, USA
Dani Ramdhani Budiman
Affiliation:
Center for Health Financing and Decentralization Policy, Ministry of Health Republic of Indonesia, Central Jakarta, Jakarta, Indonesia
Christian Suharlim
Affiliation:
Management Sciences for Health, Arlington, VA, USA
*
Corresponding author: Arie Rahadi; Email: arie.rahadi@gmail.com
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Abstract

Objectives

Cost-effectiveness models fully informed by real-world epidemiological parameters yield the best results, but they are costly to obtain. Model calibration using real-world data/evidence (RWD/E) on routine health indicators can provide an alternative to improve the validity and acceptability of the results. We calibrated the transition probabilities of the reference chemotherapy treatment using RWE on patient overall survival (OS) to model the survival benefit of adjuvant trastuzumab in Indonesia.

Methods

A Markov model comprising four health states was initially parameterized using the reference-treatment transition probabilities, obtained from published international evidence. We then calibrated these probabilities, targeting a 2-year OS of 86.11 percent from the RWE sourced from hospital registries. We compared projected OS duration and life-years gained (LYG) before and after calibration for the Nelder–Mead, Bound Optimization BY Quadratic Approximation, and generalized reduced gradient (GRG) nonlinear optimization methods.

Results

The pre-calibrated transition probabilities overestimated the 2-year OS (92.25 percent). GRG nonlinear performed best and had the smallest difference with the RWD/E OS. After calibration, the projected OS duration was significantly lower than their pre-calibrated estimates across all optimization methods for both standard chemotherapy (~7.50 vs. 11.00 years) and adjuvant trastuzumab (~9.50 vs. 12.94 years). LYG measures were, however, similar (~2 years) for the pre-calibrated and calibrated models.

Conclusions

RWD/E calibration resulted in realistically lower survival estimates. Despite the little difference in LYG, calibration is useful to adapt external evidence commonly used to derive transition probabilities to the policy context, thereby enhancing the validity and acceptability of the modeling results.

Information

Type
Assessment
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
Copyright
© The Author(s), 2025. Published by Cambridge University Press
Figure 0

Figure 1. Model structure.

Figure 1

Table 1. Initial transition probabilities of the chemotherapy group and treatment effects of adjuvant trastuzumab

Figure 2

Table 2. Calibrated transition probabilities of the chemotherapy group

Figure 3

Figure 2. Projected overall survival and life-years gained. BOBYQA: Bound Optimization BY Quadratic Approximation; GRG: generalized reduced gradient; LY: life-years; LYG: life-years gained. Stars denote the statistical comparison of life-years with pre-calibrated values within a treatment group (*Pbc < 0.050; **Pbc < 0.010; ***Pbc < 0.001). All statistical tests and the 95% confidence intervals were based on the Monte Carlo empirical distribution with bias corrections.

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