Adaptive Seamless Dose-Finding Trials

40 Pages Posted: 22 Aug 2020 Last revised: 12 May 2021

See all articles by Ningyuan Chen

Ningyuan Chen

University of Toronto at Mississauga - Department of Management; University of Toronto - Rotman School of Management

Amin Khademi

affiliation not provided to SSRN

Date Written: June 26, 2020

Abstract

We propose a nonparametric online-learning framework to conduct early-stage dose-finding clinical trials with simultaneous consideration of efficacy and toxicity. It has two major benefits: efficient use of patient responses and immunity to model misspecifications. First, unlike most Phase I trials, which only keep track of the toxicity, our framework makes efficient use of patient responses and infers the efficacy of each dose at the same time. Second, our framework utilizes application-specific structures of the dose-efficacy and dose-toxicity curves without imposing any parametric forms. Because of the discontinuity arising from the binary response (the dose is safe or not), the standard approaches in continuum-armed bandits do not apply. We then propose two algorithms, which are easy to understand, implement, and analyze their regret. The first one follows dose-escalation principles and analyzes the efficacy and toxicity simultaneously, which makes it appealing when very little information about the dose-toxicity profile is available. The second one, which is asymptotically optimal up to a logarithmic factor, uses bisection search to identify a safe dose range and then applies upper confidence bound algorithms within the safe range to identify efficacious doses. We test our proposed algorithms with three benchmarks commonly used in practice on synthetic and real datasets, and the results show that they significantly outperform the benchmarks

Keywords: Dose-Finding, Joint Efficacy and Toxicity, Continuum-Armed Bandit, Dose Escalation, Upper Confidence Bound

Suggested Citation

Chen, Ningyuan and Khademi, Amin, Adaptive Seamless Dose-Finding Trials (June 26, 2020). Available at SSRN: https://ssrn.com/abstract=3636294 or http://dx.doi.org/10.2139/ssrn.3636294

Ningyuan Chen (Contact Author)

University of Toronto at Mississauga - Department of Management ( email )


Canada

University of Toronto - Rotman School of Management ( email )

105 St. George st
Toronto, ON M5S 3E6
Canada

Amin Khademi

affiliation not provided to SSRN

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