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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…

Optimization and Control · Mathematics 2018-10-01 Michelle Böck , Anders Forsgren , Kjell Eriksson , Björn Hårdemark

The challenge of removing cancerous cells lies in the limitation of organ at risk, which restricts the ability to increase the radiation dose adequately for enhancing treatment effectiveness. This survey provides a comprehensive overview of…

Medical Physics · Physics 2023-07-27 Amir Moslemi , Navid Khaledi

We present an optimization-based approach to radiation treatment planning over time. Our approach formulates treatment planning as an optimal control problem with nonlinear patient health dynamics derived from the standard linear-quadratic…

Medical Physics · Physics 2022-05-17 Anqi Fu , Lei Xing , Stephen Boyd

Radiotherapy treatment planning is a challenging large-scale optimization problem plagued by uncertainty. Following the robust optimization methodology, we propose a novel, spatially based uncertainty set for robust modeling of radiotherapy…

Optimization and Control · Mathematics 2024-05-28 Noam Goldberg , Mark P. Langer , Shimrit Shtern

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

Introduction: Intra-organ radiation dose sensitivity is becoming increasingly relevant in clinical radiotherapy. One method for assessment involves partitioning delineated regions of interest and comparing the relative contributions or…

Quantitative Methods · Quantitative Biology 2017-05-08 Haley D. Clark , Stefan A. Reinsberg , Vitali Moiseenko , Jonn Wu , Steven D. Thomas

Purpose: To make the planning of volumetric modulated arc therapy (VMAT) faster and to explore the tradeoffs between planning objectives and delivery efficiency. Methods: A convex multicriteria dose optimization problem is solved for an…

Medical Physics · Physics 2015-05-28 David Craft , Dualta McQuaid , Jeremiah Wala , Wei Chen , Ehsan Salari , Thomas Bortfeld

Radiation therapy is considered to be one of important treatment protocols for cancers. Radiation therapy employs several beams of ionizing radiation to kill cancer tumors, but such irradiation also causes damage to normal tissues.…

Optimization and Control · Mathematics 2016-12-06 Shogo Kishimoto , Makoto Yamashita

We present a method for handling dose constraints as part of a convex programming framework for inverse treatment planning. Our method uniformly handles mean dose, maximum dose, minimum dose, and dose-volume (i.e., percentile) constraints…

Medical Physics · Physics 2019-03-05 Anqi Fu , Baris Ungun , Lei Xing , Stephen Boyd

he segment minimization problem consists of finding the smallest set of integer matrices that sum to a given intensity matrix, such that each summand has only one non-zero value, and the non-zeroes in each row are consecutive. This has…

Data Structures and Algorithms · Computer Science 2011-09-27 Therese Biedl , Stephane Durocher , Holger H. Hoos , Shuang Luan , Jared Saia , Maxwell Young

Sparse reduced rank regression is an essential statistical learning method. In the contemporary literature, estimation is typically formulated as a nonconvex optimization that often yields to a local optimum in numerical computation. Yet,…

Methodology · Statistics 2022-12-06 Canhong Wen , Ruipeng Dong , Xueqin Wang , Weiyu Li , Heping Zhang

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,…

Medical Physics · Physics 2007-05-23 Dong Hyun Park , Sung-Yong Park , Dahl Park , Tae-Hyun Kim , Kyung Hwan Shin , Dae Yong Kim , Kwan-Ho Cho

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

The dose delivered to the planning target volume by proton beams is highly conformal, sparing organs at risk and normal tissues. New treatment planning systems adapted to spot scanning techniques have been recently proposed to…

Medical Physics · Physics 2022-05-18 François Smekens , Nicolas Freud , Bruno Sixou , Guillaume Beslon , Jean M Létang

Recently, diagnosis, therapy and monitoring of human diseases involve a variety of imaging modalities, such as magnetic resonance imaging(MRI), computed tomography(CT), Ultrasound(US) and Positron-emission tomography(PET) as well as a…

Computer Vision and Pattern Recognition · Computer Science 2018-09-25 Jing Yuan , Aaron Fenster

Spatiotemporal fractionation schemes, that is, treatments delivering different dose distributions in different fractions, may lower treatment side effects without compromising tumor control. This is achieved by hypofractionating parts of…

Medical Physics · Physics 2018-02-14 Melissa R. Gaddy , Sercan Yıldız , Jan Unkelbach , Dávid Papp

Optimal surface segmentation is a state-of-the-art method used for segmentation of multiple globally optimal surfaces in volumetric datasets. The method is widely used in numerous medical image segmentation applications. However, nodes in…

Computer Vision and Pattern Recognition · Computer Science 2019-02-18 Abhay Shah , Michael D. Abramoff , Xiaodong Wu

Robust optimization is a commonly employed method to mitigate uncertainties in the planning of intensity-modulated proton therapy (IMPT). In certain contexts, the large number of uncertainty scenarios makes the robust problem impractically…

Medical Physics · Physics 2025-04-22 Ivar Bengtsson

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

We apply the recently proposed superiorization methodology (SM) to the inverse planning problem in radiation therapy. The inverse planning problem is represented here as a constrained minimization problem of the total variation (TV) of the…

Optimization and Control · Mathematics 2014-02-07 R. Davidi , Y. Censor , R. W. Schulte , S. Geneser , L. Xing