Pub Date : 2026-01-01Epub Date: 2024-08-11DOI: 10.1080/10543406.2024.2387364
Qiqi Deng, Lili Zhu, Brendan Weiss, Praveen Aanur, Lei Gao
Dose optimization is a critical challenge in drug development. Historically, dose determination in oncology has followed a divergent path from other non-oncology therapeutic areas due to the unique characteristics and requirements in Oncology. However, with the emergence of new drug modalities and mechanisms of drugs in oncology, such as immune therapies, radiopharmaceuticals, targeted therapies, cytostatic agents, and others, the dose-response relationship for efficacy and toxicity could be vastly varied compared to the cytotoxic chemotherapies. The doses below the MTD may demonstrate similar efficacy to the MTD with an improved tolerability profile, resembling what is commonly observed in non-oncology treatments. Hence, alternate strategies for dose optimization are required for new modalities in oncology drug development. This paper delves into the historical evolution of dose finding methods from non-oncology to oncology, highlighting examples and summarizing the underlying drivers of change. Subsequently, a practical framework and guidance are provided to illustrate how dose optimization can be incorporated into various stages of the development program. We provide the following general recommendations: 1) The objective for phase I is to identify a dose range rather than a single MTD dose for subsequent development to better characterize the safety and tolerability profile within the dose range. 2) At least two doses separable by PK are recommended for dose optimization in phase II. 3) Ideally, dose optimization should be performed before launching the confirmatory study. Nevertheless, innovative designs such as seamless II/III design can be implemented for dose selection and may accelerate the drug development program.
剂量优化是药物开发中的一项重要挑战。从历史上看,由于肿瘤学的独特性和要求,肿瘤学的剂量确定一直与其他非肿瘤学治疗领域不同。然而,随着免疫疗法、放射性药物、靶向疗法、细胞抑制剂等新的药物模式和药物机制在肿瘤学中的出现,与细胞毒性化疗相比,疗效和毒性的剂量反应关系可能会有很大的不同。低于MTD的剂量可能具有与MTD相似的疗效,但耐受性有所改善,这与非肿瘤治疗中常见的情况类似。因此,在肿瘤药物开发的新模式中,需要有剂量优化的替代策略。本文深入探讨了从非肿瘤学到肿瘤学的剂量寻找方法的历史演变,重点举例说明并总结了变化的根本原因。随后,本文提供了一个实用框架和指南,说明如何将剂量优化纳入开发计划的各个阶段。我们提出以下一般性建议:1) I 期的目标是为后续开发确定一个剂量范围,而不是单一的 MTD 剂量,以便更好地描述剂量范围内的安全性和耐受性特征。2)建议在 II 期进行剂量优化时至少使用两个可通过 PK 分离的剂量。3) 理想情况下,剂量优化应在启动确证研究之前进行。然而,创新设计(如无缝 II/III 设计)可用于剂量选择,并可加快药物开发计划。
{"title":"Strategies for successful dose optimization in oncology drug development: a practical guide.","authors":"Qiqi Deng, Lili Zhu, Brendan Weiss, Praveen Aanur, Lei Gao","doi":"10.1080/10543406.2024.2387364","DOIUrl":"10.1080/10543406.2024.2387364","url":null,"abstract":"<p><p>Dose optimization is a critical challenge in drug development. Historically, dose determination in oncology has followed a divergent path from other non-oncology therapeutic areas due to the unique characteristics and requirements in Oncology. However, with the emergence of new drug modalities and mechanisms of drugs in oncology, such as immune therapies, radiopharmaceuticals, targeted therapies, cytostatic agents, and others, the dose-response relationship for efficacy and toxicity could be vastly varied compared to the cytotoxic chemotherapies. The doses below the MTD may demonstrate similar efficacy to the MTD with an improved tolerability profile, resembling what is commonly observed in non-oncology treatments. Hence, alternate strategies for dose optimization are required for new modalities in oncology drug development. This paper delves into the historical evolution of dose finding methods from non-oncology to oncology, highlighting examples and summarizing the underlying drivers of change. Subsequently, a practical framework and guidance are provided to illustrate how dose optimization can be incorporated into various stages of the development program. We provide the following general recommendations: 1) The objective for phase I is to identify a dose range rather than a single MTD dose for subsequent development to better characterize the safety and tolerability profile within the dose range. 2) At least two doses separable by PK are recommended for dose optimization in phase II. 3) Ideally, dose optimization should be performed before launching the confirmatory study. Nevertheless, innovative designs such as seamless II/III design can be implemented for dose selection and may accelerate the drug development program.</p>","PeriodicalId":54870,"journal":{"name":"Journal of Biopharmaceutical Statistics","volume":" ","pages":"79-93"},"PeriodicalIF":1.2,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141914624","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-01Epub Date: 2024-07-19DOI: 10.1080/10543406.2024.2379357
Xin Wei, Xiaosong Li, Ziyan Guo
Dose selection and optimization in early phase of oncology drug development serves as the foundation for the success of late phases drug development. Bivariate Bayesian logistic regression model (BLRM) is a widely utilized model-based algorithm that has been shown to improve the accuracy for identifying recommended phase 2 dose (RP2D) based on dose-limiting-toxicity (DLT) over traditional method such as 3 + 3. However, it remains a challenge to optimize dose selection that strikes a proper balance between safety and efficacy in escalation and expansion phase of phase I trials. In this paper, we first use a phase I clinical trial to demonstrate how the variability of drug exposure related to pharmacokinetic (PK) parameters among trial participants may add to the difficulties of identifying optimal dose. We use simulation to show that concurrently or retrospectively fitting BLRM model for dose/toxicity data from escalation phase with dose-independent PK parameters as covariate lead to improved accuracy of identifying dose level at which DLT rate is within a prespecified toxicity interval. Furthermore, we proposed both model- and rule-based methods to modify dose at patient level in expansion cohorts based on their PK/exposure parameters. Simulation studies show this approach leads to higher likelihood for a dose level with a manageable toxicity and desirable efficacy margin to be advanced to late phase pipeline after being screened at expansion phase of phase I trial.
肿瘤药物开发早期的剂量选择和优化是后期药物开发成功的基础。双变量贝叶斯逻辑回归模型(BLRM)是一种广泛使用的基于模型的算法,与 3 + 3 等传统方法相比,它已被证明能提高根据剂量限制毒性(DLT)确定第二阶段推荐剂量(RP2D)的准确性。然而,在 I 期试验的升级和扩展阶段,如何优化剂量选择,在安全性和有效性之间取得适当平衡,仍然是一项挑战。在本文中,我们首先利用一项 I 期临床试验来说明试验参与者之间与药代动力学(PK)参数相关的药物暴露的变异性是如何增加确定最佳剂量的难度的。我们通过模拟实验表明,同时或回顾性地对升级阶段的剂量/毒性数据拟合 BLRM 模型,并将与剂量无关的 PK 参数作为协变量,可提高确定 DLT 发生率在预设毒性区间内的剂量水平的准确性。此外,我们还提出了基于模型和规则的方法,以根据患者的 PK/暴露参数修改扩增队列中患者的剂量。模拟研究表明,这种方法能使毒性可控且疗效理想的剂量水平更有可能在 I 期试验的扩增阶段通过筛选后进入后期阶段。
{"title":"Leveraging pharmacokinetic parameters as covariate in Bayesian logistic regression model to optimize dose selection in early phase oncology trial.","authors":"Xin Wei, Xiaosong Li, Ziyan Guo","doi":"10.1080/10543406.2024.2379357","DOIUrl":"10.1080/10543406.2024.2379357","url":null,"abstract":"<p><p>Dose selection and optimization in early phase of oncology drug development serves as the foundation for the success of late phases drug development. Bivariate Bayesian logistic regression model (BLRM) is a widely utilized model-based algorithm that has been shown to improve the accuracy for identifying recommended phase 2 dose (RP2D) based on dose-limiting-toxicity (DLT) over traditional method such as 3 + 3. However, it remains a challenge to optimize dose selection that strikes a proper balance between safety and efficacy in escalation and expansion phase of phase I trials. In this paper, we first use a phase I clinical trial to demonstrate how the variability of drug exposure related to pharmacokinetic (PK) parameters among trial participants may add to the difficulties of identifying optimal dose. We use simulation to show that concurrently or retrospectively fitting BLRM model for dose/toxicity data from escalation phase with dose-independent PK parameters as covariate lead to improved accuracy of identifying dose level at which DLT rate is within a prespecified toxicity interval. Furthermore, we proposed both model- and rule-based methods to modify dose at patient level in expansion cohorts based on their PK/exposure parameters. Simulation studies show this approach leads to higher likelihood for a dose level with a manageable toxicity and desirable efficacy margin to be advanced to late phase pipeline after being screened at expansion phase of phase I trial.</p>","PeriodicalId":54870,"journal":{"name":"Journal of Biopharmaceutical Statistics","volume":" ","pages":"21-42"},"PeriodicalIF":1.2,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141725123","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-01Epub Date: 2025-11-16DOI: 10.1080/10543406.2025.2557533
José L Jiménez, Mourad Tighiouart
In this article, we propose a phase I-II design in two stages for the combination of molecularly targeted therapies. The design is motivated by a published case study that combines MEK and PIK3CA inhibitors; a setting in which higher dose levels do not necessarily translate into higher efficacy responses. The goal is therefore to identify dose combination(s) with a prespecified desirable risk-benefit trade-off. We propose a flexible cubic spline to model the marginal distribution of the efficacy response. In stage I, patients are allocated following the escalation with overdose control (EWOC) principle whereas, in stage II, we adaptively randomize patients to the available experimental dose combinations based on the continuously updated model parameters. A simulation study is presented to assess the design's performance under different scenarios, as well as to evaluate its sensitivity to the sample size and to model misspecification. Compared to a recently published dose finding algorithm for biologic drugs, our design is safer and more efficient at identifying optimal dose combinations.
{"title":"A Bayesian design for dual-agent dose optimization with targeted therapies.","authors":"José L Jiménez, Mourad Tighiouart","doi":"10.1080/10543406.2025.2557533","DOIUrl":"10.1080/10543406.2025.2557533","url":null,"abstract":"<p><p>In this article, we propose a phase I-II design in two stages for the combination of molecularly targeted therapies. The design is motivated by a published case study that combines MEK and PIK3CA inhibitors; a setting in which higher dose levels do not necessarily translate into higher efficacy responses. The goal is therefore to identify dose combination(s) with a prespecified desirable risk-benefit trade-off. We propose a flexible cubic spline to model the marginal distribution of the efficacy response. In stage I, patients are allocated following the escalation with overdose control (EWOC) principle whereas, in stage II, we adaptively randomize patients to the available experimental dose combinations based on the continuously updated model parameters. A simulation study is presented to assess the design's performance under different scenarios, as well as to evaluate its sensitivity to the sample size and to model misspecification. Compared to a recently published dose finding algorithm for biologic drugs, our design is safer and more efficient at identifying optimal dose combinations.</p>","PeriodicalId":54870,"journal":{"name":"Journal of Biopharmaceutical Statistics","volume":" ","pages":"134-149"},"PeriodicalIF":1.2,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145535204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-01Epub Date: 2025-02-10DOI: 10.1080/10543406.2025.2450325
Wei Wei, Jianchang Lin
In oncology dose-finding trials, small cohorts of patients are often assigned to increasing dose levels, with the aim of determining the maximum tolerated dose. In the era of targeted agents, this practice has come under intense scrutiny as treating patients at doses beyond a certain level often results in increased off-target toxicity without significant gains in antitumor activity. Dose optimization for targeted agents becomes more challenging in proof-of-concept trials when the experimental treatment is tested in multiple indications of low prevalence and there is the need to characterize the dose-response relationship in each indication. To provide an alternative to the conventional "more is better" paradigm in oncology dose finding, we propose a Bayesian model averaging approach based on robust mixture priors (rBMA) for identifying the recommended phase III dose in randomized dose optimization studies conducted simultaneously in multiple indications. Compared to the dose optimization strategy which evaluates the dose-response relationship in each indication independently, we demonstrate the proposed approach can improve the accuracy of dose recommendation by learning across indications. The performance of the proposed approach in making the correct dose recommendation is examined based on systematic simulation studies.
{"title":"Bayesian model averaging for randomized dose optimization trials in multiple indications.","authors":"Wei Wei, Jianchang Lin","doi":"10.1080/10543406.2025.2450325","DOIUrl":"10.1080/10543406.2025.2450325","url":null,"abstract":"<p><p>In oncology dose-finding trials, small cohorts of patients are often assigned to increasing dose levels, with the aim of determining the maximum tolerated dose. In the era of targeted agents, this practice has come under intense scrutiny as treating patients at doses beyond a certain level often results in increased off-target toxicity without significant gains in antitumor activity. Dose optimization for targeted agents becomes more challenging in proof-of-concept trials when the experimental treatment is tested in multiple indications of low prevalence and there is the need to characterize the dose-response relationship in each indication. To provide an alternative to the conventional \"more is better\" paradigm in oncology dose finding, we propose a Bayesian model averaging approach based on robust mixture priors (rBMA) for identifying the recommended phase III dose in randomized dose optimization studies conducted simultaneously in multiple indications. Compared to the dose optimization strategy which evaluates the dose-response relationship in each indication independently, we demonstrate the proposed approach can improve the accuracy of dose recommendation by learning across indications. The performance of the proposed approach in making the correct dose recommendation is examined based on systematic simulation studies.</p>","PeriodicalId":54870,"journal":{"name":"Journal of Biopharmaceutical Statistics","volume":" ","pages":"94-106"},"PeriodicalIF":1.2,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12335606/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143392508","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-01Epub Date: 2024-06-18DOI: 10.1080/10543406.2024.2364716
Shijie Yuan, Zhanbo Huang, Jiaxin Liu, Yuan Ji
We consider a dose-optimization design for a first-in-human oncology trial that aims to identify a suitable dose for late-phase drug development. The proposed approach, called the Pharmacometrics-Enabled DOse OPtimization (PEDOOP) design, incorporates observed patient-level pharmacokinetics (PK) measurements and latent pharmacodynamics (PD) information for trial decision-making and dose optimization. PEDOOP consists of two seamless phases. In phase I, patient-level time-course drug concentrations, derived PD effects, and the toxicity outcomes from patients are integrated into a statistical model to estimate the dose-toxicity response. A simple dose-finding design guides dose escalation in phase I. At the end of the phase I dose finding, a graduation rule is used to assess the safety and efficacy of all the doses and select those with promising efficacy and acceptable safety for a randomized comparison against a control arm in phase II. In phase II, patients are randomized to the selected doses based on a fixed or adaptive randomization ratio. At the end of phase II, an optimal biological dose (OBD) is selected for late-phase development. We conduct simulation studies to assess the PEDOOP design in comparison to an existing seamless design that also combines phases I and II in a single trial.
我们考虑了首次人体肿瘤试验的剂量优化设计,目的是为后期药物开发确定合适的剂量。所提出的方法被称为药物计量学支持的剂量优化(PEDOOP)设计,它将观察到的患者级药代动力学(PK)测量结果和潜在的药效学(PD)信息结合起来,用于试验决策和剂量优化。PEDOOP 包括两个无缝衔接的阶段。在第一阶段,患者水平的时程药物浓度、衍生的药效学效应和患者的毒性结果被整合到一个统计模型中,以估计剂量-毒性反应。在 I 期剂量寻找结束时,采用分级规则评估所有剂量的安全性和疗效,并选择疗效好、安全性可接受的剂量,在 II 期与对照组进行随机比较。在第二阶段,根据固定或自适应随机化比例,将患者随机分配到选定的剂量。在 II 期结束时,选出一个最佳生物剂量 (OBD),用于后期开发。我们进行了模拟研究,以评估 PEDOOP 设计与现有无缝设计的比较,后者也是将 I 期和 II 期结合在一项试验中。
{"title":"Pharmacometrics-Enabled DOse OPtimization (PEDOOP) for seamless phase I-II trials in oncology.","authors":"Shijie Yuan, Zhanbo Huang, Jiaxin Liu, Yuan Ji","doi":"10.1080/10543406.2024.2364716","DOIUrl":"10.1080/10543406.2024.2364716","url":null,"abstract":"<p><p>We consider a dose-optimization design for a first-in-human oncology trial that aims to identify a suitable dose for late-phase drug development. The proposed approach, called the Pharmacometrics-Enabled DOse OPtimization (PEDOOP) design, incorporates observed patient-level pharmacokinetics (PK) measurements and latent pharmacodynamics (PD) information for trial decision-making and dose optimization. PEDOOP consists of two seamless phases. In phase I, patient-level time-course drug concentrations, derived PD effects, and the toxicity outcomes from patients are integrated into a statistical model to estimate the dose-toxicity response. A simple dose-finding design guides dose escalation in phase I. At the end of the phase I dose finding, a graduation rule is used to assess the safety and efficacy of all the doses and select those with promising efficacy and acceptable safety for a randomized comparison against a control arm in phase II. In phase II, patients are randomized to the selected doses based on a fixed or adaptive randomization ratio. At the end of phase II, an optimal biological dose (OBD) is selected for late-phase development. We conduct simulation studies to assess the PEDOOP design in comparison to an existing seamless design that also combines phases I and II in a single trial.</p>","PeriodicalId":54870,"journal":{"name":"Journal of Biopharmaceutical Statistics","volume":" ","pages":"59-78"},"PeriodicalIF":1.2,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141421880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-01Epub Date: 2026-01-05DOI: 10.1080/10543406.2025.2604435
Bo Huang, Jingjing Ye, Victoria Chang, Jianchang Lin
{"title":"Special issue on dose optimization.","authors":"Bo Huang, Jingjing Ye, Victoria Chang, Jianchang Lin","doi":"10.1080/10543406.2025.2604435","DOIUrl":"https://doi.org/10.1080/10543406.2025.2604435","url":null,"abstract":"","PeriodicalId":54870,"journal":{"name":"Journal of Biopharmaceutical Statistics","volume":"36 1","pages":"1-2"},"PeriodicalIF":1.2,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145907237","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-01Epub Date: 2024-03-11DOI: 10.1080/10543406.2024.2325142
Kai Chen, Yunqi Zhao, Meizi Liu, Jianchang Lin, Rachael Liu
Combination therapy, a treatment modality that involves multiple treatment agents, has become imperative for improving treatment effectiveness and addressing resistance in the field of oncology. However, determining the most effective dose for these combinations, particularly when dealing with intricate drug interactions and diverse toxicity patterns, presents a substantial challenge. This paper introduces a novel Bayesian dose-finding design for combination therapies with information borrowing, named the DOD-Combo design. Leveraging historical single-agent trials and the meta-analytic-predictive (MAP) power prior, our approach utilizes a copula-type model to connect individual drug priors with joint toxicity probabilities in combination treatments. The MAP power prior allows the integration of information from multiple historical trials, constructing informative priors for each agent. Extensive simulations confirm our method's superior performance compared to combination designs with no information borrowing. By adaptively incorporating historical data, our approach reduces sample sizes and enhances efficiency in selecting the maximum tolerated dose (MTD), effectively addressing the intricate challenges presented by combination trials.
{"title":"DOD-Combo: Bayesian dose finding design in combination trials with meta-analytic-predictive prior.","authors":"Kai Chen, Yunqi Zhao, Meizi Liu, Jianchang Lin, Rachael Liu","doi":"10.1080/10543406.2024.2325142","DOIUrl":"10.1080/10543406.2024.2325142","url":null,"abstract":"<p><p>Combination therapy, a treatment modality that involves multiple treatment agents, has become imperative for improving treatment effectiveness and addressing resistance in the field of oncology. However, determining the most effective dose for these combinations, particularly when dealing with intricate drug interactions and diverse toxicity patterns, presents a substantial challenge. This paper introduces a novel Bayesian <u>do</u>se-finding <u>d</u>esign for <u>comb</u>inati<u>o</u>n therapies with information borrowing, named the DOD-Combo design. Leveraging historical single-agent trials and the meta-analytic-predictive (MAP) power prior, our approach utilizes a copula-type model to connect individual drug priors with joint toxicity probabilities in combination treatments. The MAP power prior allows the integration of information from multiple historical trials, constructing informative priors for each agent. Extensive simulations confirm our method's superior performance compared to combination designs with no information borrowing. By adaptively incorporating historical data, our approach reduces sample sizes and enhances efficiency in selecting the maximum tolerated dose (MTD), effectively addressing the intricate challenges presented by combination trials.</p>","PeriodicalId":54870,"journal":{"name":"Journal of Biopharmaceutical Statistics","volume":" ","pages":"3-20"},"PeriodicalIF":1.2,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140102881","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-01Epub Date: 2025-02-27DOI: 10.1080/10543406.2025.2469877
Jixian Wang, Ram Tiwari
Dose selection is a key decision to make in the early phase of drug development. Classical phase I/II dose-finding trials randomly assign a few doses and select the best among them. Response-adaptive assignment designs are more efficient but are still far from optimal. Recently, some researchers used machine learning (ML) methods such as contextual bandits (CB) to find the "optimal" dose and to investigate the asymptotic properties of the methods. We present a case study for oncology phase I/II dose-finding trial designs using Thompson sampling and Bayesian bootstrap for CB with either modeling clinical utility directly or jointly modeling efficacy and safety. We focus on practical questions such as the number of interim analyses to conduct and whether we should model the utility directly, jointly model efficacy and safety which compose the utility, or use a model independent approach such as multi-armed bandits, but not for a specific compound or tumor type. We also consider how to use weak informative prior information. We conducted an extensive simulation study and compared different combinations of design settings and modeling methods, under several feasible scenarios of the dose-response relationship. Based on simulation results, we make practical recommendations for the use of the proposed ML approach for phase I/II dose-finding trial designs.
{"title":"Optimal dose selection in phase I/II dose finding trial with contextual bandits: a case study and practical recommendations.","authors":"Jixian Wang, Ram Tiwari","doi":"10.1080/10543406.2025.2469877","DOIUrl":"10.1080/10543406.2025.2469877","url":null,"abstract":"<p><p>Dose selection is a key decision to make in the early phase of drug development. Classical phase I/II dose-finding trials randomly assign a few doses and select the best among them. Response-adaptive assignment designs are more efficient but are still far from optimal. Recently, some researchers used machine learning (ML) methods such as contextual bandits (CB) to find the \"optimal\" dose and to investigate the asymptotic properties of the methods. We present a case study for oncology phase I/II dose-finding trial designs using Thompson sampling and Bayesian bootstrap for CB with either modeling clinical utility directly or jointly modeling efficacy and safety. We focus on practical questions such as the number of interim analyses to conduct and whether we should model the utility directly, jointly model efficacy and safety which compose the utility, or use a model independent approach such as multi-armed bandits, but not for a specific compound or tumor type. We also consider how to use weak informative prior information. We conducted an extensive simulation study and compared different combinations of design settings and modeling methods, under several feasible scenarios of the dose-response relationship. Based on simulation results, we make practical recommendations for the use of the proposed ML approach for phase I/II dose-finding trial designs.</p>","PeriodicalId":54870,"journal":{"name":"Journal of Biopharmaceutical Statistics","volume":" ","pages":"107-133"},"PeriodicalIF":1.2,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143525170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-01Epub Date: 2024-11-24DOI: 10.1080/10543406.2024.2429481
Kai Chen, Heng Zhou, J Jack Lee, Ying Yuan
We propose a Bayesian optimal phase 2 design for jointly monitoring efficacy and toxicity, referred to as BOP2-TE, to improve the operating characteristics of the BOP2 design proposed by Zhou. BOP2-TE utilizes a Dirichlet-multinomial model to jointly model the distribution of toxicity and efficacy endpoints, making go/no-go decisions based on the posterior probability of toxicity and futility. In comparison to the original BOP2 and other existing designs, BOP2-TE offers the advantage of providing rigorous type I error control in cases where the treatment is toxic and futile, effective but toxic, or safe but futile, while optimizing power when the treatment is effective and safe. As a result, BOP2-TE enhances trial safety and efficacy. We also explore the incorporation of BOP2-TE into multiple-dose randomized trials for dose optimization, and consider a seamless design that integrates phase I dose finding with phase II randomized dose optimization. BOP2-TE is user-friendly, as its decision boundary can be determined prior to the trial's onset. Simulations demonstrate that BOP2-TE possesses desirable operating characteristics. We have developed a user-friendly web application as part of the BOP2 app, which is freely available at https://www.trialdesign.org.
我们提出了一种联合监测疗效和毒性的贝叶斯最优 2 期设计(简称 BOP2-TE),以改进 Zhou 提出的 BOP2 设计的操作特性。BOP2-TE 利用 Dirichlet-Multinomial 模型对毒性终点和疗效终点的分布进行联合建模,根据毒性和无效的后验概率做出去/不去的决定。与最初的 BOP2 和其他现有设计相比,BOP2-TE 的优势在于在治疗有毒但无用、有效但有毒或安全但无用的情况下提供严格的 I 型误差控制,同时在治疗有效且安全的情况下优化功率。因此,BOP2-TE 提高了试验的安全性和有效性。我们还探讨了将 BOP2-TE 纳入多剂量随机试验以优化剂量的问题,并考虑了将 I 期剂量发现与 II 期随机剂量优化相结合的无缝设计。BOP2-TE 易于使用,因为其决策边界可在试验开始前确定。模拟结果表明,BOP2-TE 具有理想的运行特性。我们开发了一个用户友好型网络应用程序,作为 BOP2 应用程序的一部分,可在 https://www.trialdesign.org 免费获取。
{"title":"BOP2-TE: Bayesian optimal phase 2 design for jointly monitoring efficacy and toxicity with application to dose optimization.","authors":"Kai Chen, Heng Zhou, J Jack Lee, Ying Yuan","doi":"10.1080/10543406.2024.2429481","DOIUrl":"10.1080/10543406.2024.2429481","url":null,"abstract":"<p><p>We propose a Bayesian optimal phase 2 design for jointly monitoring efficacy and toxicity, referred to as BOP2-TE, to improve the operating characteristics of the BOP2 design proposed by Zhou. BOP2-TE utilizes a Dirichlet-multinomial model to jointly model the distribution of toxicity and efficacy endpoints, making go/no-go decisions based on the posterior probability of toxicity and futility. In comparison to the original BOP2 and other existing designs, BOP2-TE offers the advantage of providing rigorous type I error control in cases where the treatment is toxic and futile, effective but toxic, or safe but futile, while optimizing power when the treatment is effective and safe. As a result, BOP2-TE enhances trial safety and efficacy. We also explore the incorporation of BOP2-TE into multiple-dose randomized trials for dose optimization, and consider a seamless design that integrates phase I dose finding with phase II randomized dose optimization. BOP2-TE is user-friendly, as its decision boundary can be determined prior to the trial's onset. Simulations demonstrate that BOP2-TE possesses desirable operating characteristics. We have developed a user-friendly web application as part of the BOP2 app, which is freely available at https://www.trialdesign.org.</p>","PeriodicalId":54870,"journal":{"name":"Journal of Biopharmaceutical Statistics","volume":" ","pages":"43-58"},"PeriodicalIF":1.2,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12102293/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142711249","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-31DOI: 10.1080/10543406.2025.2604126
Yong Ma, Andrew Giffin, Jiwei He, Hana Lee
Inverse probability of treatment weighting (IPTW) is a common approach to infer causal treatment effects when covariates are imbalanced at baseline or over time among treatment groups. One limitation of the IPTW is that a few observations with large weights can disproportionately influence inference, leading to dramatically increased variability in estimation. Stabilizing weights were developed to mitigate such a variability caused by excessively large weights. Since then, stabilizing weights have been widely regarded as good practice for IPTW, despite some misunderstandings and misinterpretations of their functionality. For example, a common misconception is that the original IPTW artificially inflates a study's statistical power because the weighted sample size appears to double that of the original. This article clarifies the role of stabilization in IPTW analysis, focusing on linear, logistic, and Cox's Proportional Hazard analyses in baseline binary treatment settings, which are commonly encountered in the regulatory space. Through theoretical derivations and simulation studies, we show that stabilized IPTW models yield identical point estimates to the original IPTW models in saturated linear and logistic regressions but yield slightly different estimates in Cox regressions. Stabilizing IPTW improves variance estimation over the original IPTW only when within-subject correlation due to weighting is ignored (as in model-based variance estimation, which is an incorrect approach), while none to minimal differences are observed when using robust variance estimation. Regardless of stabilization, a robust, sandwich-type variance estimator or resampling-based methods are the more appropriate approach for accurate variance estimation.
{"title":"Demystifying stabilization in inverse probability of treatment weighting.","authors":"Yong Ma, Andrew Giffin, Jiwei He, Hana Lee","doi":"10.1080/10543406.2025.2604126","DOIUrl":"https://doi.org/10.1080/10543406.2025.2604126","url":null,"abstract":"<p><p>Inverse probability of treatment weighting (IPTW) is a common approach to infer causal treatment effects when covariates are imbalanced at baseline or over time among treatment groups. One limitation of the IPTW is that a few observations with large weights can disproportionately influence inference, leading to dramatically increased variability in estimation. Stabilizing weights were developed to mitigate such a variability caused by excessively large weights. Since then, stabilizing weights have been widely regarded as good practice for IPTW, despite some misunderstandings and misinterpretations of their functionality. For example, a common misconception is that the original IPTW artificially inflates a study's statistical power because the weighted sample size appears to double that of the original. This article clarifies the role of stabilization in IPTW analysis, focusing on linear, logistic, and Cox's Proportional Hazard analyses in baseline binary treatment settings, which are commonly encountered in the regulatory space. Through theoretical derivations and simulation studies, we show that stabilized IPTW models yield identical point estimates to the original IPTW models in saturated linear and logistic regressions but yield slightly different estimates in Cox regressions. Stabilizing IPTW improves variance estimation over the original IPTW only when within-subject correlation due to weighting is ignored (as in model-based variance estimation, which is an incorrect approach), while none to minimal differences are observed when using robust variance estimation. Regardless of stabilization, a robust, sandwich-type variance estimator or resampling-based methods are the more appropriate approach for accurate variance estimation.</p>","PeriodicalId":54870,"journal":{"name":"Journal of Biopharmaceutical Statistics","volume":" ","pages":"1-15"},"PeriodicalIF":1.2,"publicationDate":"2025-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145866628","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}