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We analyze the effect of tumor repopulation on optimal dose delivery in radiation therapy. We are primarily motivated by accelerated tumor repopulation towards the end of radiation treatment, which is believed to play a role in treatment…

医学物理 · 物理学 2015-04-28 Thomas Bortfeld , Jagdish Ramakrishnan , John N. Tsitsiklis , Jan Unkelbach

Optimal experimental design (OED) seeks experiments expected to yield the most useful data for some purpose. In practical circumstances where experiments are time-consuming or resource-intensive, OED can yield enormous savings. We pursue…

统计计算 · 统计学 2014-12-30 Xun Huan , Youssef M. Marzouk

Decision-making in personalized medicine such as cancer therapy or critical care must often make choices for dosage combinations, i.e., multiple continuous treatments. Existing work for this task has modeled the effect of multiple…

机器学习 · 计算机科学 2023-10-30 Jonas Schweisthal , Dennis Frauen , Valentyn Melnychuk , Stefan Feuerriegel

To accurately verify the dose of intensity-modulated radiation therapy (IMRT), we have used a global optimization method to investigate a new dose-verification algorithm. In practical application of this quality assurance (QA) procedure,…

AI-driven precision oncology has the transformative potential to reshape cancer treatment by leveraging the power of AI models to analyze the interaction between complex patient characteristics and their corresponding treatment outcomes.…

One primary goal of precision medicine is to estimate the individualized treatment rules (ITRs) that optimize patients' health outcomes based on individual characteristics. Health studies with multiple treatments are commonly seen in…

统计方法学 · 统计学 2025-05-07 Xuqiao Li , Qiuyan Zhou , Ying Wu , Ying Yan

The authors propose robust adaptive strategies based on stochastic minimax optimization for a series of simulated treatments on a one-dimensional patient phantom. The plan applied during the first fractions should be able to handle…

最优化与控制 · 数学 2018-10-01 Michelle Böck , Anders Forsgren , Kjell Eriksson , Björn Hårdemark

Pharmacodynamic (PD) models are mathematical models of cellular reaction networks that include drug mechanisms of action. These models are useful for studying predictive therapeutic outcomes of novel drug therapies in silico. However, PD…

分子网络 · 定量生物学 2023-09-27 Natalie M. Isenberg , Susan D. Mertins , Byung-Jun Yoon , Kristofer Reyes , Nathan M. Urban

In a Phase II dose-finding study with a placebo control, a new drug with several dose levels is compared with a placebo to test for the effectiveness of the new drug. The main focus of such studies often lies in the characterization of the…

统计方法学 · 统计学 2020-07-14 Saswati Saha , Werner Brannath

Personalizing combination therapies in oncology requires navigating an immense space of possible drug and dose combinations, a task that remains largely infeasible through exhaustive experimentation. Recent developments in patient-derived…

机器学习 · 计算机科学 2025-09-10 Antoine de Mathelin , Christopher Tosh , Wesley Tansey

Breakthroughs in cancer biology have defined new research programs emphasizing the development of therapies that target specific pathways in tumor cells. Innovations in clinical trial design have followed with master protocols defined by…

统计方法学 · 统计学 2020-07-09 Alexander M. Kaizer , Joseph S. Koopmeiners , Nan Chen , Brian P. Hobbs

We propose a restricted win probability estimand for comparing treatments in a randomized trial with a time-to-event outcome. We also propose Bayesian estimators for this summary measure as well as the unrestricted win probability. Bayesian…

统计方法学 · 统计学 2024-11-06 Michelle Leeberg , Xianghua Luo , Thomas A. Murray

An individualized dose rule recommends a dose level within a continuous safe dose range based on patient level information such as physical conditions, genetic factors and medication histories. Traditionally, personalized dose finding…

统计方法学 · 统计学 2020-07-21 Liangyu Zhu , Wenbin Lu , Michael R. Kosorok , Rui Song

Successful pharmaceutical drug development requires finding correct doses that provide an optimum balance between efficacy and toxicity. Competing responses to dose such as efficacy and toxicity often will increase with dose, and it is…

应用统计 · 统计学 2024-01-26 A. Lawrence Gould

Optimal treatment rules can improve health outcomes on average by assigning a treatment associated with the most desirable outcome to each individual. Due to an unknown data generation mechanism, it is appealing to use flexible models to…

统计方法学 · 统计学 2023-11-21 Lingjie Shen , Gijs Geleijnse , Maurits Kaptein

There are several different modalities, e.g., surgery, chemotherapy, and radiotherapy, that are currently used to treat cancer. It is common practice to use a combination of these modalities to maximize clinical outcomes, which are often…

最优化与控制 · 数学 2019-09-27 Kelsey Maass , Minsun Kim

In oncology clinical trials, characterizing the long-term overall survival (OS) benefit for an experimental drug or treatment regimen (experimental group) is often unobservable if some patients in the control group switch to drugs in the…

应用统计 · 统计学 2019-08-05 Yuqing Xu , Meijing Wu , Weili He , Qiming Liao , Yabing Mai

Bayesian optimal experimental design (OED) seeks to conduct the most informative experiment under budget constraints to update the prior knowledge of a system to its posterior from the experimental data in a Bayesian framework. Such…

机器学习 · 计算机科学 2024-02-29 Rafael Orozco , Felix J. Herrmann , Peng Chen

Early-phase clinical trials face the challenge of selecting optimal drug doses that balance safety and efficacy due to uncertain dose-response relationships and varied participant characteristics. Traditional randomized dose allocation…

统计方法学 · 统计学 2026-02-13 Rohit Kanrar , Chunlin Li , Zara Ghodsi , Margaret Gamalo

This paper presents a mathematical framework for optimizing drug delivery in cancer treatment using a nonlocal model of solid tumor growth. We present a coupled system of partial differential equations that incorporate long-range cellular…

最优化与控制 · 数学 2025-03-13 Bouhamidi Abderrahman , El Harraki Imad , Melouani Yassine
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