Abstract
Purpose
In this study we aimed to evaluate adaptive designs (ADs) by clinical trial simulation for a pharmacokinetic-pharmacodynamic model in oncology and to compare them with one-stage designs, i.e., when no adaptation is performed, using wrong prior parameters.
Methods
We evaluated two one-stage designs, ξ0 and ξ*, optimised for prior and true population parameters, Ψ0 and Ψ*, and several ADs (two-, three- and five-stage). All designs had 50 patients. For ADs, the first cohort design was ξ0. The next cohort design was optimised using prior information updated from the previous cohort. Optimal design was based on the determinant of the Fisher information matrix using PFIM. Design evaluation was performed by clinical trial simulations using data simulated from Ψ*.
Results
Estimation results of two-stage ADs and ξ * were close and much better than those obtained with ξ 0. The balanced two-stage AD performed better than two-stage ADs with different cohort sizes. Three- and five-stage ADs were better than two-stage with small first cohort, but not better than the balanced two-stage design.
Conclusions
Two-stage ADs are useful when prior parameters are unreliable. In case of small first cohort, more adaptations are needed but these designs are complex to implement.
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Abbreviations
- AD:
-
Adaptive design
- FIM:
-
Fisher information matrix
- NLMEM:
-
Nonlinear mixed effects model
- PD:
-
Pharmacodynamic
- PK:
-
Pharmacokinetic
- REE:
-
Relative estimation error
- RRMSE:
-
Relative root mean squared error
- TGF-β:
-
Transforming growth factor β
References
Lavielle M. Mixed effects models for the population approach: models, tasks, methods and tools. Chapman and Hall/CRC; 2014. 383 p.
Mould D, Upton R. Basic concepts in population modeling, simulation, and model-based drug development. CPT Pharmacometrics Syst Pharmacol. 2012;1(9):e6.
Van der Graaf PH. CPT: pharmacometrics and systems pharmacology. CPT Pharmacometrics Syst Pharmacol. 2012;1:e8.
Al-Banna MK, Kelman AW, Whiting B. Experimental design and efficient parameter estimation in population pharmacokinetics. J Pharmacokinet Biopharm. 1990;18(4):347–60.
Holford N, Ma SC, Ploeger BA. Clinical trial simulation: a review. Clin Pharmacol Ther. 2010;88(2):166–82.
Mentré F, Mallet A, Baccar D. Optimal design in random-effects regression models. Biometrika. 1997;84(2):429–42.
Mentré F, Chenel M, Comets E, Grevel J, Hooker A, Karlsson M, et al. Current use and developments needed for optimal design in pharmacometrics: a study performed among DDMoRe’s european federation of pharmaceutical industries and associations members. CPT Pharmacometrics Syst Pharmacol. 2013;2(6):e46.
Nyberg J, Bazzoli C, Ogungbenro K, Aliev A, Leonov S, Duffull S, et al. Methods and software tools for design evaluation for population pharmacokinetics-pharmacodynamics studies. Br J Clin Pharmacol. 2014.
Bazzoli C, Retout S, Mentré F. Design evaluation and optimisation in multiple response nonlinear mixed effect models: PFIM 3.0. Comput Methods Prog Biomed. 2010;98(1):55–65.
Mentré F, Thu Thuy N, Lestini G, Dumont C, PFIM group. PFIM 4.0: new features for optimal design in nonlinear mixed effects models using R. PAGE 2014 Abstr 3032 [Internet]. Available from: [http://www.page-meeting.org/default.asp?abstract=3032]
Nyberg J, Ueckert S, Strömberg EA, Hennig S, Karlsson MO, Hooker AC. PopED: an extended, parallelized, nonlinear mixed effects models optimal design tool. Comput Methods Prog Biomed. 2012;108(2):789–805.
Gueorguieva I, Ogungbenro K, Graham G, Glatt S, Aarons L. A program for individual and population optimal design for univariate and multivariate response pharmacokinetic-pharmacodynamic models. Comput Methods Prog Biomed. 2007;86(1):51–61.
Foo L-K, Duffull S. Methods of robust design of nonlinear models with an application to pharmacokinetics. J Biopharm Stat. 2010;20(4):886–902.
Foo LK, McGree J, Eccleston J, Duffull S. Comparison of robust criteria for D-optimal designs. J Biopharm Stat. 2012;22(6):1193–205.
Pronzato L, Walter E. Robust experiment design via maximin optimization. Math Biosci. 1988;89(2):161–76.
Dodds MG, Hooker AC, Vicini P. Robust population pharmacokinetic experiment design. J Pharmacokinet Pharmacodyn. 2005;32(1):33–64.
Chang M. Adaptive design theory and implementation using SAS and R. 1st ed. Boca Raton: Chapman and Hall/CRC; 2007. 440.
Foo L, Duffull S. Adaptive optimal design for bridging studies with an application to population pharmacokinetic studies. Pharm Res. 2012;29(6):1530–43.
Zamuner S, Di Iorio VL, Nyberg J, Gunn RN, Cunningham VJ, Gomeni R, et al. Adaptive-optimal design in PET occupancy studies. Clin Pharmacol Ther. 2010;87(5):563–71.
Fedorov V, Wu Y, Zhang R. Optimal dose-finding designs with correlated continuous and discrete responses. Stat Med. 2012;31(3):217–34.
Chen TT. Optimal three-stage designs for phase II cancer clinical trials. Stat Med. 1997;16(23):2701–11.
Dumont C, Chenel M, Mentré F. Two-stage adaptive design in nonlinear mixed effects models: application to pharmacokinetics in children. Commun Stat. ACCEPTED.
Bueno L, de Alwis D, Pitou C, Yingling J, Lahn M, Glatt S, et al. Semi-mechanistic modelling of the tumour growth inhibitory effects of LY2157299, a new type I receptor TGF-beta kinase antagonist, in mice. Eur J Cancer Oxf Engl 1990. 2008;44(1):142–50.
Gueorguieva I, Cleverly A, Stauber A, Sada Pillay N, Rodon J, Miles C, et al. Defining a therapeutic window for the novel TGF-β inhibitor LY2157299 monohydrate based on a pharmacokinetic/pharmacodynamic model. Br J Clin Pharmacol. 2014;77(5):796–807.
Mielke T, Schwabe R. Some considerations on the fisher information in nonlinear mixed effects models. In: Giovagnoli A, Atkinson AC, Torsney B, May C, editors. mODa 9 – Advances in Model-oriented design and analysis [Internet]. Physica-Verlag HD; 2010 [cited 2014 Sep 2]. p. 129–36. Available from: http://link.springer.com.gate2.inist.fr/chapter/10.1007/978-3-7908-2410-0_17.
Hoeting J, Madigan D, Raftery A, Volinsky C. Bayesian model averaging: a tutorial. Stat Sci. 1999;14(4):382–417.
Tod M, Rocchisani JM. Comparison of ED, EID, and API criteria for the robust optimization of sampling times in pharmacokinetics. J Pharmacokinet Biopharm. 1997;25(4):515–37.
Vajjah P, Duffull SB. A generalisation of T-optimality for discriminating between competing models with an application to pharmacokinetic studies. Pharm Stat. 2012;11(6):503–10.
ACKNOWLEDGMENTS AND DISCLOSURES
The research leading to these results has received support from the Innovative Medicines Initiative Joint Undertaking under grant agreement n° 115156, resources of which are composed of financial contributions from the European Union’s Seventh Framework Programme (FP7/2007-2013) and EFPIA companies’ in kind contribution. The DDMoRe project is also financially supported by contributions from Academic and SME partners. This work does not necessarily represent the view of all DDMoRe partners.
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Lestini, G., Dumont, C. & Mentré, F. Influence of the Size of Cohorts in Adaptive Design for Nonlinear Mixed Effects Models: An Evaluation by Simulation for a Pharmacokinetic and Pharmacodynamic Model for a Biomarker in Oncology. Pharm Res 32, 3159–3169 (2015). https://doi.org/10.1007/s11095-015-1693-3
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DOI: https://doi.org/10.1007/s11095-015-1693-3