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Updated: Dec 23, 2025

Quadruple-Checkerboard: A Modification of the Three-Dimensional Checkerboard for Studying Drug Combinations
Published on: July 24, 2021
A surface-free design for phase I dual-agent combination trials
Pavel Mozgunov1, Mauro Gasparini2, Thomas Jaki1
1Medical and Pharmaceutical Statistics Research Unit, Department of Mathematics and Statistics, Lancaster University, Lancaster, UK.
This study introduces a novel model-free design for oncology combination trials. The new approach effectively identifies optimal drug combinations with comparable or better accuracy and fewer toxic responses than existing methods.
Area of Science:
- Oncology
- Clinical Trial Design
- Biostatistics
Background:
- Combination therapies are increasingly common in oncology.
- Existing Phase I dose-escalation designs often rely on restrictive parametric models.
- There is a need for flexible and robust dose-finding designs for combination treatments.
Purpose of the Study:
- To propose a novel model-free dose-finding design for Phase I oncology combination trials.
- To evaluate the performance of the proposed design against existing model-based and model-free methods.
- To demonstrate the design's ability to identify target combinations with reduced toxicity.
Main Methods:
- Developed a model-free design based on the assumption of monotonicity for each agent.
- Parametrized ratios between neighboring combinations using independent Beta distributions.
- Compared the proposed design with the continual reassessment method and the product of independent beta design via simulation.
Main Results:
- The proposed design achieved comparable or superior proportions of correct target combination selection.
- The design resulted in an equal or lower average number of toxic responses.
- Demonstrated robustness without requiring pre-specified parametric models or knowledge of toxicity ordering.
Conclusions:
- The novel model-free design offers an effective and safer alternative for Phase I oncology combination trials.
- This approach provides flexibility by avoiding restrictive model assumptions.
- The design shows promise for optimizing drug combinations in clinical settings.
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