  We propose a flexible design for the identification of optimal dose
combinations in dual-agent dose-finding clinical trials. The design is called
AAA, standing for three adaptations: adaptive model selection, adaptive dose
insertion, and adaptive cohort divi- sion. The adaptations highlight the need
and opportunity for innovation for dual-agent dose finding, and are supported
by the numerical results presented in the proposed simulation studies. To our
knowledge, this is the first design that allows for all three adaptations at
the same time. We find that AAA improves the statistical inference, enhances
the chance of finding the optimal dose combinations, and shortens the trial
duration. A clinical trial is being planned to apply the AAA design.
