Abstract
Little is known about the relative relationships of the operating characteristics for rival model-based dose-finding methods for two-agent combination phase I trials . In this chapter, we focus on the model-based dose-finding methods that have been recently developed. We compare the recommendation rates for true maximum tolerated dose combinations (MTDCs) and over dose combinations (ODCs) among these methods under 16 scenarios with 3 × 3, 4 × 4, 2 × 4, and 3 × 5 dose combination matrices through comprehensive simulation studies. We found that the operating characteristics of the dose-finding methods varied depending on (1) whether the dose combination matrix is square or not, (2) whether the true MTDCs exist within the same group consisting of the diagonals of the dose combination matrix, and (3) the number of true MTDCs. We also discuss the details of the operating characteristics and the advantages and disadvantages of the dose-finding methods compared.
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References
Braun TM, Wang S. A hierarchical Bayesian design for phase I trials of novel combinations of cancer therapeutic agents. Biometrics. 2010;66:805–12.
Cheung YK. Dose-finding by the continual reassessment method. New York: Chapman and Hall/CRC Press; 2011. p. 57–62.
Conaway MR, Dunbar S, Peddada SD. Designs for single- or multiple-agent phase I trials. Biometrics. 2004;60:661–9.
Gasparini M, Bailey S, Neuenschwander B. Correspondence: Bayesian dose finding in oncology for drug combinations by copula regression. J R Stat Soc Ser C. 2010;59:543–6.
Gasparini M. General classes of multiple binary regression models in dose finding problems for combination therapies. J R Stat Soc Ser C. 2013;62:115–33.
Hirakawa A, Hamada C, Matsui S. A dose-finding approach based on shrunken predictive probability for combinations of two agents in phase I trials. Stat Med. 2013;32:4515–25.
Hirakawa A, Wages NA, Sato H, Matsui S. A comparative study of adaptive dose-finding designs for phase I oncology trials of combination therapies. Stat Med. 2015;34:3194–213.
Hirakawa A, Sato H. Authors’ reply. Stat Med. 2016;35:479–80.
Lee SM, Cheung YK. Model calibration in the continual reassessment method. Clin Trials. 2009;6:227–38.
O’Quigley J, Pepe M, Fisher L. Continual reassessment method: a practical design for phase 1 clinical trials in cancer. Biometrics. 1990;46:33–48.
Riviere MK, Yuan Y, Dubois F, Zohar S. A Bayesian dose-finding design for drug combination clinical trials based on the logistic model. Pharm Stat. 2014;13:247–57.
Riviere MK, Dubois F, Zohar S. Competing designs for drug combination in phase I dose-finding clinical trials. Stat Med. 2015;34:1–12.
Thall PF, Millikan RE, Mueller P, Lee SJ. Dose finding with two agents in phase I oncology trials. Biometrics. 2003;59:487–96.
Wang K, Ivanova A. Two-dimensional finding in discrete dose space. Biometrics. 2005;61:217–22.
Wages NA, Conaway MR, O’Quigley J. Continual reassessment method for partial ordering. Biometrics. 2011;67:1555–63.
Wages NA, Conaway MR, O’Quigley J. Dose-finding design for multi-drug combinations. Clin Trials. 2011;8:380–9.
Wages NA, Conaway MR. Specifications of a continual reassessment method design for phase I trials of combined drugs. Pharm Stat. 2013;12:217–24.
Yin G, Yuan Y. A latent contingency table approach to dose-finding for combinations of two agents. Biometrics. 2009;65:866–75.
Yin G, Yuan Y. Bayesian dose finding in oncology for drug combinations by copula regression. J R Stat Soc Ser C. 2009;58:211–24.
Yin G, Yuan Y. Author’s response: Bayesian dose-finding in oncology for drug combinations by copula regression. J R Stat Soc Ser C. 2010;59:544–6.
Acknowledgements
The views expressed here are the result of independent work and do not represent the viewpoints or findings of the Pharmaceuticals and Medical Devices Agency. This work was partially supported by JSPS KAKENHI [Grant Number 15K15948] (Grant-in-Aid for Young Scientists B). This work was partially supported by JSPS KAKENHI [Grant Number 17K00045] (Grant-in-Aid for Scientific Research C).
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Hirakawa, A., Sato, H. (2017). A Comparative Study of Model-Based Dose-Finding Methods for Two-Agent Combination Trials. In: Matsui, S., Crowley, J. (eds) Frontiers of Biostatistical Methods and Applications in Clinical Oncology. Springer, Singapore. https://doi.org/10.1007/978-981-10-0126-0_4
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DOI: https://doi.org/10.1007/978-981-10-0126-0_4
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