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Wang Z, Zhang Q, Xue A, Whitmore J. Sample size calculation for mixture model based on geometric average hazard ratio and its applications to nonproportional hazard. Pharm Stat 2024; 23:325-338. [PMID: 38152873 DOI: 10.1002/pst.2353] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/02/2023] [Revised: 10/06/2023] [Accepted: 11/22/2023] [Indexed: 12/29/2023]
Abstract
With the advent of cancer immunotherapy, some special features including delayed treatment effect, cure rate, diminishing treatment effect and crossing survival are often observed in survival analysis. They violate the proportional hazard model assumption and pose a unique challenge for the conventional trial design and analysis strategies. Many methods like cure rate model have been developed based on mixture model to incorporate some of these features. In this work, we extend the mixture model to deal with multiple non-proportional patterns and develop its geometric average hazard ratio (gAHR) to quantify the treatment effect. We further derive a sample size and power formula based on the non-centrality parameter of the log-rank test and conduct a thorough analysis of the impact of each parameter on performance. Simulation studies showed a clear advantage of our new method over the proportional hazard based calculation across different non-proportional hazard scenarios. Moreover, the mixture modeling of two real trials demonstrates how to use the prior information on the survival distribution among patients with different biomarker and early efficacy results in practice. By comparison with a simulation-based design, the new method provided a more efficient way to compute the power and sample size with high accuracy of estimation. Overall, both theoretical derivation and empirical studies demonstrate the promise of the proposed method in powering future innovative trial designs.
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Affiliation(s)
- Zixing Wang
- Kite, a Gilead company, Santa Monica, California, USA
| | | | - Allen Xue
- Kite, a Gilead company, Santa Monica, California, USA
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Montesinos P, Beckermann BM, Catalani O, Esteve J, Gamel K, Konopleva MY, Martinelli G, Monnet A, Papayannidis C, Park A, Récher C, Rodríguez-Veiga R, Röllig C, Vey N, Wei AH, Yoon SS, Fenaux P. MIRROS: a randomized, placebo-controlled, Phase III trial of cytarabine ± idasanutlin in relapsed or refractory acute myeloid leukemia. Future Oncol 2020; 16:807-815. [DOI: 10.2217/fon-2020-0044] [Citation(s) in RCA: 41] [Impact Index Per Article: 10.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023] Open
Abstract
Patients with refractory or relapsed acute myeloid leukemia (R/R AML) have a poor prognosis, with a high unmet medical need. Idasanutlin is a small-molecule inhibitor of MDM2, a negative regulator of tumor suppressor p53. By preventing the p53–MDM2 interaction, idasanutlin allows for p53 activation, particularly in patients with TP53 wild-type (WT) status. MIRROS (NCT02545283) is a randomized Phase III trial evaluating idasanutlin + cytarabine versus placebo + cytarabine in R/R AML. The primary end point is overall survival in the TP53-WT population. Secondary end points include complete remission rate (cycle 1), overall remission rate (cycle 1) and event-free survival in the TP53-WT population. MIRROS has an innovative design that integrates a stringent interim analysis for futility; continuation criteria were met in mid-2017 and accrual is ongoing. Trial registration number: NCT02545283
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Affiliation(s)
- Pau Montesinos
- Departamento de Hematologia, Hospital Universitari i Politècnic La Fe, València, Spain
- CIBERONC, Instituto Carlos III, Madrid, Spain
| | | | | | - Jordi Esteve
- Hospital Clinic de Barcelona, IDIBAPS, Barcelona, Spain
| | - Katia Gamel
- F. Hoffmann-La Roche Ltd, Basel, Switzerland
| | - Marina Y Konopleva
- Department of Leukemia, Division of Cancer Medicine, The University of Texas MD Anderson Cancer Center, Houston, TX, USA
| | - Giovanni Martinelli
- Department of Hematology and Sciences Oncology, Istituto Scientifico Romagnolo per lo Studio e la Cura dei Tumori (IRST) IRCCS, Meldola, Italy
| | | | - Cristina Papayannidis
- Department of Experimental, Diagnostic and Specialty Medicine Institute of Hematology & Medical Oncology L & A Seràgnoli, Bologna, Italy
| | - Aaron Park
- Hoffmann-La Roche Ltd, Mississauga, ON, Canada
| | - Christian Récher
- Serviced’Hématologie, Institut Universitaire du Cancer Toulouse – Oncopole,Toulouse, France
| | | | - Christoph Röllig
- Department of Internal Medicine, Universitätsklinikum Carl Gustav Carus, Dresden, Germany
| | - Norbert Vey
- Hematology Department, Aix-Marseille University, Institut Paoli-Calmettes, Marseille, France
| | - Andrew H Wei
- Department of Haematology, The Alfred Hospital & Monash University, Melbourne, VIC, Australia
| | - Sung-Soo Yoon
- Division of Hematology/Medical Oncology, Department of Internal Medicine, Seoul National University Hospital, Seoul, South Korea
| | - Pierre Fenaux
- Service d'Hématologie Séniors Hôpital Saint-Louis, Assistance Publique – Hôpitaux de Paris, Université de Paris, Paris, France
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