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Radiation treatment planning involves optimization over a large number of voxels, many of which carry limited information about the clinical problem. We propose an approach to reduce the large optimization problem by only using a…

Medical Physics · Physics 2024-08-12 Sebastian Mair , Anqi Fu , Jens Sjölund

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

Background: Intensity-modulated proton therapy (IMPT) using pencil beam technique scans tumor in a layer by layer, then spot by spot manner. It can provide highly conformal dose to tumor targets and spare nearby organs-at-risk (OAR). Fast…

Medical Physics · Physics 2024-11-28 Aoxiang Wang , Ya-Nan Zhu , Jufri Setianegara , Yuting Lin , Peng Xiao , Qingguo Xie , Hao Gao

Radiotherapy is used to treat cancer patients by damaging DNA of tumor cells using ionizing radiation. Photons are the most widely used radiation type for therapy, having been put into use soon after the first discovery of X-rays in 1895.…

Optimization and Control · Mathematics 2019-11-20 Roman Levin , Aleksandr Y. Aravkin , Minsun Kim

Objective: Radiation therapy treatment planning is a time-consuming, iterative process with potentially high inter-planner variability. Fully automated treatment planning processes could reduce a planner's active treatment planning time and…

Medical Physics · Physics 2021-02-09 Charles Huang , Yong Yang , Neil Panjwani , Stephen Boyd , Lei Xing

In the past decades mathematical optimization has found its way into radiation therapy and has made profound practice changing impact. Today, virtually all advanced treatment delivery methods, such as IMRT, VMAT, tomotherapy, LDR/HDR…

Medical Physics · Physics 2018-10-31 Bram L. Gorissen , Jan Unkelbach , Thomas R. Bortfeld

Optimization plays a central role in modern radiation therapy, where it is used to determine optimal treatment machine parameters in order to deliver precise doses adapted to each patient case. In general, solving the optimization problems…

Optimization and Control · Mathematics 2024-05-07 Felix Liu , Albin Fredriksson , Stefano Markidis

In many applied optimization settings, parameters that define the constraints may not guarantee the best possible solution, and superior solutions might exist that are infeasible for the given parameter values. Removing such constraints,…

Optimization and Control · Mathematics 2024-07-22 Farzin Ahmadi , Todd R. McNutt , Kimia Ghobadi

Conventional planning objectives in optimization of intensity-modulated radiotherapy treatment (IMRT) plans are designed to minimize the violation of dose-volume histogram (DVH) thresholds using penalty functions. Although successful in…

Medical Physics · Physics 2023-07-19 Lovisa Engberg , Kjell Eriksson , Anders Forsgren , Björn Hårdemark

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

We propose an algorithm for distributed optimization over time-varying communication networks. Our algorithm uses an optimized ratio between the number of rounds of communication and gradient evaluations to achieve fast convergence. The…

Optimization and Control · Mathematics 2020-01-08 Bryan Van Scoy , Laurent Lessard

Synthesizing information from multiple data sources is crucial for constructing accurate individualized treatment rules (ITRs). However, privacy concerns often present significant barriers to the integrative analysis of such multi-source…

Methodology · Statistics 2025-11-11 Nan Qiao , Wangcheng Li , Jingxiao Zhang , Canyi Chen

The limitations of centralized optimization methods in managing power distribution systems operations motivate distributed control and optimization algorithms. However, the existing distributed optimization algorithms are inefficient in…

Optimization and Control · Mathematics 2021-09-06 Rabayet Sadnan , Tom Asaki , Anamika Dubey

Purpose: To provide a fast computational method, based on the proximal graph solver (POGS) - a convex optimization solver using the alternating direction method of multipliers (ADMM), for calculating an optimal treatment plan in rotating…

Medical Physics · Physics 2018-02-07 Myung Cho , Xiaodong Wu , Hossein Dakhah , Jirong Yi , Ryan T. Flynn , Yusung Kim , Weiyu Xu

The distributed optimization problem is set up in a collection of nodes interconnected via a communication network. The goal is to find the minimizer of a global objective function formed by the addition of partial functions locally known…

Optimization and Control · Mathematics 2022-06-07 Damián Marelli , Yong Xu , Minyue Fu , Zenghong Huang

The problem of chemotherapy treatment optimization can be defined in order to minimize the size of the tumor without endangering the patient's health; therefore, chemotherapy requires to achieve a number of objectives, simultaneously. For…

Neural and Evolutionary Computing · Computer Science 2023-03-21 Mina Jafari , Behnam Ghavami , Vahid Sattari Naeini

It is possible to find the optimized radiation dose per session for a radiotherapy (RT) treatment, using a population dynamics model. This has already been done in a previous work for a protocol with 30 sessions and a fixed dose per…

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

Multicriteria optimization problems occur in many real life applications, for example in cancer radiotherapy treatment and in particular in intensity modulated radiation therapy (IMRT). In this work we focus on optimization problems with…

Optimization and Control · Mathematics 2017-04-05 Esther Bonacker , Aviv Gibali , Karl-Heinz Küfer , and Philipp Süss

The limitations of centralized optimization methods for power systems operation have led to the distributed computing paradigm, particularly in power distribution systems. The existing techniques reported in recent literature for solving…

Systems and Control · Electrical Eng. & Systems 2020-12-07 Rabayet Sadnan , Anamika Dubey
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