Optimal designs for dose-escalation trials and individual allocations in cohorts

DOI10.1007/s11222-022-10158-3zbMath1497.62280OpenAlexW4303985945MaRDI QIDQ2084331

Anthony C. Atkinson, Nuno M. C. Oliveira, Belmiro P. M. Duarte

Publication date: 18 October 2022

Published in: Statistics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11222-022-10158-3

zbMATH Keywords

cohortsoptimal allocationprognostic factorsdose escalation experimentsfirst-in-human trials

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Applications of statistics to biology and medical sciences; meta analysis (62P10) Optimal statistical designs (62K05) Minimax problems in mathematical programming (90C47)

Uses Software

• CONOPT
• GAMS

Cites Work

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• Continual Reassessment Method: A Practical Design for Phase 1 Clinical Trials in Cancer
• Properties of biased coin designs in sequential clinical trials
• The construction of optimal designs for dose-escalation studies
• On inverting circulant matrices
• Optimal Bayesian-feasible dose escalation for cancer phase I trials
• Optimal designs for comparing test treatments with controls. With comments and a rejoinder by the authors
• Symmetry breaking in mixed integer linear programming formulations for blocking two-level orthogonal experimental designs
• Differentiating the pseudo determinant
• Convexification and global optimization in continuous and mixed-integer nonlinear programming. Theory, algorithms, software, and applications
• Optimal exact designs of experiments via mixed integer nonlinear programming
• Optimal approximate designs for comparison with control in dose-escalation studies
• Optimal Designs for Dose-Finding Studies
• Design and Analysis of Phase I Clinical Trials
• CONOPT: A GRG code for large sparse dynamic nonlinear optimization problems
• Coherence principles in dose-finding studies
• A Treatment Allocation Procedure for Sequential Clinical Trials
• Optimum biased coin designs for sequential clinical trials with prognostic factors
• Designs with Partial Factorial Balance
• Dynamic Treatment Allocation Adjusting for Prognostic Factors for More Than Two Treatments
• The Comparison of Designs for Sequential Clinical Trials with Covariate Information
• Statistical Issues in Drug Development
• Global optimization problems in optimal design of experiments in regression models