Abstract

Dose‐escalation trials commonly assume a homogeneous trial population to identify a single recommended dose of the experimental treatment for use in future trials. Wrongly assuming a homogeneous population can lead to a diluted treatment effect. Equally, exclusion of a subgroup that could in fact benefit from the treatment can cause a beneficial treatment effect to be missed. Accounting for a potential subgroup effect (ie, difference in reaction to the treatment between subgroups) in dose‐escalation can increase the chance of finding the treatment to be efficacious in a larger patient population.A standard Bayesian model‐based method of dose‐escalation is extended to account for a subgroup effect by including covariates for subgroup membership in the dose‐toxicity model. A stratified design performs well but uses available data inefficiently and makes no inferences concerning presence of a subgroup effect. A hypothesis test could potentially rectify this problem but the small sample sizes result in a low‐powered test. As an alternative, the use of spike and slab priors for variable selection is proposed. This method continually assesses the presence of a subgroup effect, enabling efficient use of the available trial data throughout escalation and in identifying the recommended dose(s). A simulation study, based on real trial data, was conducted and this design was found to be both promising and feasible.

Highlights

  • The aim of a dose-escalation trial is to identify the recommended dose of an experimental treatment to be used in later phase trials investigating the treatment’s efficacy

  • The standard Bayesian model-based dose-escalation trial design described in Section 1.1 is used as the baseline method for comparison of the proposed dose-escalation methods described in Section 2, which account for a potential subgroup effect

  • Even in such a setting, a frequentist estimate might be used to reduce the subjectivity of decisions made from the dose-escalation trial that could impact on future trials of the treatment

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Summary

Introduction

The aim of a dose-escalation trial is to identify the recommended dose of an experimental treatment to be used in later phase trials investigating the treatment’s efficacy. To maximise the treatment’s chance of success in efficacy trials, it is important that the recommended dose is optimal for the patient population. The toxicity data upon which decisions are based is usually a binary indicator of whether a patient experienced a dose-limiting toxicity (DLT) in their first cycle of treatment. Since the recommended dose is chosen based only on toxicity data, an implicit assumption is that increasing toxicity leads to increased efficacy of the treatment. Using a Bayesian model-based design for dose escalation, the optimal dose can be referred to as the TD100θ [1]. Bayesian model-based designs require a model to be assumed for the dose-toxicity relationship. These designs can utilise available trial data and prior knowledge to advise escalation and estimate the TD100θ

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