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The purpose of a phase I dose-finding clinical trial is to investigate the toxicity profiles of various doses for a new drug and identify the maximum tolerated dose. Over the past three decades, various dose-finding designs have been…

Methodology · Statistics 2021-11-25 Yunshan Duan , Shijie Yuan , Yuan Ji , Peter Mueller

Purpose: To evaluate automated multicriteria optimization (MCO)-- designed for intensity modulated radiation therapy (IMRT), but invoked with limited segmentation -- to efficiently produce high quality 3D conformal treatment (3D-CRT) plans.…

Medical Physics · Physics 2014-02-03 Fazal Khan , David Craft

Precision oncology tests that profile tumors to identify clinically actionable targets have rapidly entered clinical practice. Effective visual presentation of the results of these tests is crucial in accurate clinical decision-making. In…

Tissues and Organs · Quantitative Biology 2018-10-19 Selim Kalaycı , Çağatay Demiralp , Zeynep H. Gümüş

This paper proposes a sequential design for maximizing a stochastic computer simulator output, y(x), over an unknown optimization domain. The training data used to estimate the optimization domain are a set of (historical) inputs, often…

Methodology · Statistics 2020-12-17 François Bachoc , Théo Barthe , Thomas Santner , Yann Richet

Deep learning-based automated contouring and treatment planning has been proven to improve the efficiency and accuracy of radiotherapy. However, conventional radiotherapy treatment planning process has the automated contouring and treatment…

Medical Physics · Physics 2024-12-02 Sangwook Kim , Aly Khalifa , Thomas G. Purdie , Chris McIntosh

A mathematical model for time development of metastases and their distribution in size and carrying capacity is presented. The model is used to theoretically investigate anti-cancer therapies such as surgery and chemical treatments…

Tissues and Organs · Quantitative Biology 2013-06-21 Sebastien Benzekry , Dominique Barbolosi , Assia Benabdallah , Florence Hubert , Philip Hahnfeldt

Multi-criteria decision making (MCDM) is necessary for choosing one from the available alternatives (or from the obtained Pareto-optimal solutions for multi-objective optimization), where the performance of each alternative is quantified…

Chemical Physics · Physics 2024-11-18 Zhiyuan Wang , Seyed Reza Nabavi , Gade Pandu Rangaiah

The treatment assignment mechanism in a randomized clinical trial can be optimized for statistical efficiency within a specified class of randomization mechanisms. Optimal designs of this type have been characterized in terms of the…

Methodology · Statistics 2025-09-03 Wei Zhang , Zhiwei Zhang , Aiyi Liu

Radiation therapy (RT) is a medical treatment to kill cancer cells or shrink tumors. To manually schedule patients for RT is a time-consuming and challenging task. By the use of optimization, patient schedules for RT can be created…

Optimization and Control · Mathematics 2023-05-04 Sara Frimodig , Per Enqvist , Mats Carlsson , Carole Mercier

Phase I dose-finding studies aim at identifying the maximal tolerated dose (MTD). It is not uncommon that several dose-finding studies are conducted, although often with some variation in the administration mode or dose panel. For instance,…

Quantitative Methods · Quantitative Biology 2021-03-24 Moreno Ursino , Christian Röver , Sarah Zohar , Tim Friede

In this paper, we consider multi-stage stochastic optimization problems with convex objectives and conic constraints at each stage. We present a new stochastic first-order method, namely the dynamic stochastic approximation (DSA) algorithm,…

Optimization and Control · Mathematics 2019-08-22 Guanghui Lan , Zhiqiang Zhou

A treatment regime is a deterministic function that dictates personalized treatment based on patients' individual prognostic information. There is a fast-growing interest in finding optimal treatment regimes to maximize expected long-term…

Statistics Theory · Mathematics 2016-11-25 Runchao Jiang , Wenbin Lu , Rui Song , Marie Davidian

Interpretability of reinforcement learning policies is essential for many real-world tasks but learning such interpretable policies is a hard problem. Particularly rule-based policies such as decision trees and rules lists are difficult to…

Artificial Intelligence · Computer Science 2024-02-15 Daniël Vos , Sicco Verwer

The number of new cancer cases is expected to increase by about 50% in the next 20 years, and the need for chemotherapy treatments will increase accordingly. Chemotherapy treatments are usually performed in outpatient cancer centers where…

Optimization and Control · Mathematics 2023-09-15 Giuliana Carello , Mauro Passacantando , Elena Tanfani

We present a novel application of Tensor Network methods in cancer treatment as a potential tool to solve the dose optimization problem in radiotherapy. In particular, the Intensity-Modulated Radiation Therapy (IMRT) technique - that allows…

Medical Physics · Physics 2021-08-11 Samuele Cavinato , Timo Felser , Marco Fusella , Marta Paiusco , Simone Montangero

An unprecedented number of new cancer targets are in development, and most are being developed in combination therapies. Early oncology development is strategically challenged in choosing the best combinations to move forward to late stage…

Applications · Statistics 2021-01-08 Linda Z. Sun , Cai , Wu , Xiaoyun , Li , Cong Chen , Emmett V. Schmidt

Radiotherapy dosimetry plays a crucial role in optimizing treatment plans for cancer patients. In this study, we investigate the performance of a dozen standard state-of-the-art open-source optimizers for radiotherapy dosimetry. Our…

Systems and Control · Electrical Eng. & Systems 2023-05-30 Paul Dubois

Direct-drive is an important approach to achieving the ignition of inertial confinement fusion. To enhance implosion performance while keeping the risk of hydrodynamic instability at a low level, we have designed a procedure to optimize the…

Plasma Physics · Physics 2022-09-07 Guannan Zheng , Tao Tao , Qing Jia , Rui Yan , Jian Zheng

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…

Medical Physics · Physics 2015-04-28 Thomas Bortfeld , Jagdish Ramakrishnan , John N. Tsitsiklis , Jan Unkelbach

The commonplace description of phase 1 clinical trials in oncology as "primarily concerned with safety" is belied by their near universal adoption of dose-escalation practices which are inherently unsafe. In contrast with dose titration,…

Methodology · Statistics 2020-04-28 David C. Norris
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