Optimal Bayesian-feasible dose escalation for cancer phase I trials

We present an adaptive dose escalation scheme for cancer phase I clinical trials which is based on a parametric quantal response model. The dose escalation is Bayesian-feasible, Bayesian-optimal and consistent. It is designed to approach the maximum tolerated dose as fast as possible subject to the constraint that the predicted probability of assigning doses higher than the maximum tolerated dose is equal to a specified value.