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Although there is an extensive statistical literature showing the disadvantages of discretizing continuous variables, categorization is a common practice in clinical research which results in substantial loss of information. A large…

Methodology · Statistics 2017-08-17 Márcio Augusto Diniz , Mourad Tighiouart , André Rogatko

The conventional phase II trial design paradigm is to make the go/no-go decision based on the hypothesis testing framework. Statistical significance itself alone, however, may not be sufficient to establish that the drug is clinically…

Methodology · Statistics 2021-12-22 Yujie Zhao , Daniel Li , Rong Liu , Ying Yuan

Recently, the strategy for dose optimization in oncology has shifted to conduct Phase 2 randomized controlled trials with multiple doses. Optimal biologic dose selection from Phase 1 trial data to determine candidate doses for Phase 2…

Methodology · Statistics 2023-02-14 Masahiro Kojima

Model-assisted interval designs such as the Keyboard design are transparent and easy to implement in phase I oncology trials. However, interim decisions based solely on data from the current dose may overlook informative signals from…

Applications · Statistics 2026-05-26 Jiangyan Zhao , Xian Shi , Jin Xu

In Phase I/II dose-finding trials, the objective is to find the Optimal Biological Dose (OBD), a dose that is both safe and efficacious that maximises some optimality criterion based on safety and efficacy. This is further complicated when…

Applications · Statistics 2022-03-31 Helen Barnett , Oliver Boix , Dimitris Kontos , Thomas Jaki

Nonlinear regression models addressing both efficacy and toxicity outcomes are increasingly used in dose-finding trials, such as in pharmaceutical drug development. However, research on related experimental design problems for corresponding…

Methodology · Statistics 2016-01-06 Holger Dette , Katrin Kettelhake , Kirsten Schorning , Weng Kee Wong , Frank Bretz

We propose Locally Optimal Restricted Designs (LORDs) for phase I/II dose-finding studies that focus on both efficacy and toxicity outcomes. As an illustrative application, we find various LORDs for a 4-parameter continuation-ratio (CR)…

Methodology · Statistics 2025-09-09 Oleksandr Sverdlov , Yevgen Ryeznik , Weng Kee Wong

We propose a frequentist adaptive phase 2 trial design to evaluate the safety and efficacy of three treatment regimens (doses) compared to placebo for four types of helminth (worm) infections. This trial will be carried out in four…

Geometric uncertainty can degrade treatment quality in radiation therapy. While margins and robust optimization mitigate these effects, they provide only implicit control over clinical goal fulfillment probability. We therefore develop a…

Medical Physics · Physics 2026-01-14 Albin Fredriksson , Erik Engwall , Jenneke de Jong , Johan Sundström

Randomized discontinuation design (RDD) is an enrichment strategy commonly used to address limitations of traditional placebo-controlled trials, particularly the ethical concern of prolonged placebo exposure. RDD consists of two phases: an…

Methodology · Statistics 2025-06-03 Ayon Mukherjee , Oleksandr Sverdlov , Ngoc-Thuy Ha , Yu Deng

Phase I dose-finding trials in oncology seek to find the maximum tolerated dose (MTD) of a drug under a specific schedule. Evaluating drug-schedules aims at improving treatment safety while maintaining efficacy. However, while we can…

Immunotherapies have revolutionized cancer treatment. Unlike chemotherapies, immune agents often take longer time to show benefit, and the complex and unique mechanism of action of these agents renders the use of multiple endpoints more…

Methodology · Statistics 2018-10-02 Ruitao Lin , Robert L Coleman , Ying Yuan

Moment-based distributionally robust optimization (DRO) provides an optimization framework to integrate statistical information with traditional optimization approaches. Under this framework, one assumes that the underlying joint…

Optimization and Control · Mathematics 2023-11-01 Shiyi Jiang , Jianqiang Cheng , Kai Pan , Zuo-Jun Max Shen

Phase I early-phase clinical studies aim at investigating the safety and the underlying dose-toxicity relationship of a drug or combination. While little may still be known about the compound's properties, it is crucial to consider…

Methodology · Statistics 2022-09-13 Christian Röver , Moreno Ursino , Tim Friede , Sarah Zohar

An important tool to evaluate the performance of any design is an optimal benchmark proposed by O'Quigley and others (2002, Biostatistics 3(1), 51-56) that provides an upper bound on the performance of a design under a given scenario. The…

Statistics Theory · Mathematics 2018-03-06 Pavel Mozgunov , Thomas Jaki , Xavier Paoletti

The primary goal of dose allocation in phase I trials is to minimize patient exposure to subtherapeutic or excessively toxic doses, while accurately recommending a phase II dose that is as close as possible to the maximum tolerated dose…

Methodology · Statistics 2025-03-21 Jiapeng Xu , Dehua Bi , Shenghua Kelly Fan , Bee Leng Lee , Ying Lu

In phase I dose escalation studies for dual-agent combinations, at least one drug often has an established monotherapy dose. Consequently, substantial prior clinical safety data often exist for one or more monotherapies, allowing the study…

Methodology · Statistics 2026-05-07 Yuxuan Chen , Haiming Zhou , Keiko Nakajima , Philip He

Driven by advances in hardware and software technologies, nonlinear model predictive control (NMPC) has gained increasing adoption in both industry and academia over the past decades. However, its practical deployment is often limited by…

Optimization and Control · Mathematics 2026-04-10 Perceval Beja-Battais , Guillaume Dupré , Alain Grossetête , Nicolas Vayatis

Multi-arm multi-stage (MAMS) trials have gained popularity, due to their improved efficiency in evaluating multiple treatments. A traditional MAMS trial often decreases the expected sample size of the trial compared to just running a…

Tumor response, a binary variable, has historically been the main measure of antitumor activity for many cancer phase II single-arm trials. Simon two-stage designs are often used. Sargent et al. proposed a three-outcome trial design in this…

Methodology · Statistics 2025-03-20 Minghua Shan