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This study introduces a novel computational framework for Robust Topology Optimization (RTO) considering imprecise random field parameters. Unlike the worst-case approach, the present method provides upper and lower bounds for the mean and…

Computational Engineering, Finance, and Science · Computer Science 2022-01-28 Kang Gao , Duy Minh Doc , Sheng Chu , Gang Wu , H. Alicia Kim , Carol A. Featherston

Efficient methods to provide sub-optimal solutions to non-convex optimization problems with knowledge of the solution's sub-optimality would facilitate the widespread application of nonlinear optimal control algorithms. To that end,…

Optimization and Control · Mathematics 2023-04-10 Prithvi Akella , Aaron D. Ames

Proton pencil beam scanning (PBS) treatment planning for head and neck (H&N) cancers is a time-consuming and experience-demanding task where a large number of planning objectives are involved. Deep reinforcement learning (DRL) has recently…

Quantitative Methods · Quantitative Biology 2024-09-19 Qingqing Wang , Chang Chang

We review the field of multi-criteria optimization for radiation therapy treatment planning. Special attention is given to the technique known as Pareto surface navigation, which allows physicians and treatment planners to interactively…

Optimization and Control · Mathematics 2013-05-08 David Craft

The precision of contouring target structures and organs-at-risk (OAR) in radiotherapy planning is crucial for ensuring treatment efficacy and patient safety. Recent advancements in deep learning (DL) have significantly improved OAR…

Image and Video Processing · Electrical Eng. & Systems 2024-09-30 Marvin Tom Teichmann , Manasi Datar , Lisa Kratzke , Fernando Vega , Florin C. Ghesu

Purpose: In this modelling study we pursued two main goals. The first was to establish a new CTV-to-PTV expansion which considers the closest and most critical organ at risk (OAR). The second goal was to investigate the impact of the…

Medical Physics · Physics 2023-03-21 Stephan Radonic , Jürgen Besserer , Carla Rohrer Bley , Uwe Schneider , Valeria Meier

Two-stage stochastic optimization is a framework for modeling uncertainty, where we have a probability distribution over possible realizations of the data, called scenarios, and decisions are taken in two stages: we make first-stage…

Data Structures and Algorithms · Computer Science 2023-10-25 Andre Linhares , Chaitanya Swamy

Today, intensity-modulated radiation therapy (IMRT) is one of the methods used to treat brain tumors. In conventional treatment planning methods, after identifying planning target volume (PTV), and organs at risk (OARs), and determining the…

Quantitative Methods · Quantitative Biology 2023-05-15 Mobina Naeemi , Mohamad Reza Esmaeili , Iraj Abedi

In radiation therapy, mathematical methods have been used for optimizing treatment planning for delivery of sufficient dose to the cancerous cells while keeping the dose to critical surrounding structures minimal. This optimization problem…

Medical Physics · Physics 2015-06-16 Hamed Yarmand , David Craft

A split feasibility formulation for the inverse problem of intensity-modulated radiation therapy (IMRT) treatment planning with dose-volume constraints (DVCs) included in the planning algorithm is presented. It involves a new type of…

Medical Physics · Physics 2017-04-26 S. Penfold , R. Zalas , M. Casiraghi , M. Brooke , Y. Censor , R. Schulte

Production planning must account for uncertainty in a production system, arising from fluctuating demand forecasts. Therefore, this article focuses on the integration of updated customer demand into the rolling horizon planning cycle. We…

Econometrics · Economics 2024-09-27 Manuel Schlenkrich , Wolfgang Seiringer , Klaus Altendorfer , Sophie N. Parragh

In survival contexts, substantial literature exists on estimating optimal treatment regimes, where treatments are assigned based on personal characteristics to maximize the survival probability. These methods assume that a set of covariates…

Methodology · Statistics 2025-07-24 Junwen Xia , Zishu Zhan , Jingxiao Zhang

Spatially Fractionated Radiation Therapy (SFRT) produces highly heterogeneous dose distributions, for which conventional metrics such as peak, valley, or average dose can yield ambiguous or inconsistent estimates of therapeutic window…

Probabilistic control design is founded on the principle that a rational agent attempts to match modelled with an arbitrary desired closed-loop system trajectory density. The framework was originally proposed as a tractable alternative to…

Machine Learning · Computer Science 2023-11-16 Tom Lefebvre

To develop an automated workflow for rectal cancer three-dimensional conformal radiotherapy treatment planning that combines deep-learning(DL) aperture predictions and forward-planning algorithms. We designed an algorithm to automate the…

Treatment planning system calculations in inhomogeneous regions may present significant inaccuracies due to loss of electronic equilibrium. In this study, three different dose calculation algorithms, pencil beam, collapsed cone, and…

Medical Physics · Physics 2015-03-12 Sung Jin Kim , Dong Ho Kim , Sung Kyu Kim

The goal of radiation therapy for cancer is to deliver prescribed radiation dose to the tumor while minimizing dose to the surrounding healthy tissues. To evaluate treatment plans, the dose distribution to healthy organs is commonly…

Methodology · Statistics 2024-05-24 Thai-Son Tang , Zhihui Liu , Ali Hosni , John Kim , Olli Saarela

Adaptive radiation therapy (ART) seeks to maintain accurate dose delivery by monitoring anatomical changes during treatment and modifying plans accordingly, yet commonly used approaches for estimating cumulative dose rely on heuristic,…

Medical Physics · Physics 2026-03-03 Robert Boyd , Wolfgang A. Tomé

Background: Dose calculation and optimization algorithms in proton therapy treatment planning often have high computational requirements regarding time and memory. This can hinder the implementation of efficient workflows in clinics and…

Medical Physics · Physics 2023-04-18 D. Pross , S. Wuyckens , S. Deffet , E. Sterpin , J. A. Lee , K. Souris

In proton therapy of low-grade glioma (LGG) patients, contrast-enhancing brain lesions (CEBLs) on magnetic resonance imaging are considered predictive of late radiation-induced lesions. From the observation that CEBLs tend to concentrate in…

Medical Physics · Physics 2026-04-16 Tim Ortkamp , Habiba Sallem , Semi Harrabi , Martin Frank , Oliver Jäkel , Julia Bauer , Niklas Wahl
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