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Beam angle optimization (BAO) largely determines the performance of fixed-field intensity modulated radiation therapy (IMRT), and it is usually considered as non-convex optimization and an NP hard problem. In this work, BAO is reformulated…

医学物理 · 物理学 2021-05-12 Junbo Peng , Ailin Wu , Lei Zhu

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…

医学物理 · 物理学 2018-02-14 Melissa R. Gaddy , Sercan Yıldız , Jan Unkelbach , Dávid Papp

Beam orientation optimization (BOO) is a key component in the process of IMRT treatment planning. It determines to what degree one can achieve a good treatment plan quality in the subsequent plan optimization process. In this paper, we have…

医学物理 · 物理学 2015-05-27 Xun Jia , Chunhua Men , Yifei Lou , Steve B. Jiang

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

We consider the effects of parameter uncertainty on the optimal radiation schedule in the context of the linear-quadratic model. Our interest arises from the observation that if inter-patient variations in OAR and tumor sensitivities to…

组织与器官 · 定量生物学 2015-06-05 Hamidreza Badri , Yoichi Watanabe , Kevin Leder

Governments across the world are planning to increase the share of renewables in their energy systems. The siting of new wind and solar power plants requires close coordination with grid planning, and hence co-optimization of investment in…

最优化与控制 · 数学 2020-09-25 Fabian Neumann , Tom Brown

Intensity-modulated radiation therapy (IMRT) allows for the design of customized, highly-conformal treatments for cancer patients. Creating IMRT treatment plans, however, is a mathematically complex process, which is often tackled in…

最优化与控制 · 数学 2022-03-18 Danielle A. Ripsman , Thomas G. Purdie , Timothy C. Y. Chan , Houra Mahmoudzadeh

Maritime Inventory Routing Problem (MIRP) plays a crucial role in the integration of global maritime commerce levels. However, there are still no well-established methodologies capable of efficiently solving large MIRP instances or their…

人工智能 · 计算机科学 2025-06-13 Nathalie Sanghikian , Rafael Meirelles , Rafael Martinelli , Anand Subramanian

We consider the problem of optimally designing a body wireless sensor network, while taking into account the uncertainty of data generation of biosensors. Since the related min-max robustness Integer Linear Programming (ILP) problem can be…

最优化与控制 · 数学 2017-04-18 Fabio D'Andreagiovanni , Antonella Nardin , Enrico Natalizio

While the use of combination therapy is increasing in prevalence for cancer treatment, it is often difficult to predict the exact interactions between different treatment forms, and their synergistic/antagonistic effects on patient health…

最优化与控制 · 数学 2021-01-29 Jayanth Pratap

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.…

最优化与控制 · 数学 2016-12-06 Shogo Kishimoto , Makoto Yamashita

Volumetric modulated arc therapy planning is a challenging problem in high-dimensional, non-convex optimization. Traditionally, heuristics such as fluence-map-optimization-informed segment initialization use locally optimal solutions to…

Radiotherapy planning is a critical aspect of cancer treatment, where the optimal selection of beam directions and dose distributions significantly impacts treatment efficacy and patient outcomes. Traditionally, this process involves…

医学物理 · 物理学 2023-12-05 Keshav Kumar K. , NVSL Narasimham , A. Ramakrishna Prasad

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…

数据结构与算法 · 计算机科学 2011-09-27 Therese Biedl , Stephane Durocher , Holger H. Hoos , Shuang Luan , Jared Saia , Maxwell Young

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…

医学物理 · 物理学 2025-04-22 Ivar Bengtsson

We develop a mathematical framework to define an optimal individualized treatment rule (ITR) within the context of prioritized outcomes in a randomized controlled trial. Our optimality criterion is based on the framework of generalized…

统计方法学 · 统计学 2025-06-17 François Petit , Gérard Biau , Raphaël Porcher

Purpose: Many planning methods for high dose rate (HDR) brachytherapy treatment planning require an iterative approach. A set of computational parameters are hypothesized that will give a dose plan that meets dosimetric criteria. A dose…

医学物理 · 物理学 2016-11-25 Timmy Siauw , Adam Cunha , Alper Atamturk , I-Chow Hsu , Jean Pouliot , Ken Goldberg

Fluence map optimization for intensity-modulated radiation therapy planning can be formulated as a large-scale inverse problem with competing objectives and constraints associated with the tumors and organs-at-risk. Unfortunately,…

最优化与控制 · 数学 2022-02-17 Kelsey Maass , Minsun Kim , Aleksandr Aravkin

In this paper, a tractable methodology is proposed to approximate stochastic optimal feedback treatment in the context of mixed immuno-chemo therapy of cancer. The method uses a fixed-point value iteration that approximately solves a…

系统与控制 · 计算机科学 2020-10-26 Mazen Alamir

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…

最优化与控制 · 数学 2024-05-07 Felix Liu , Albin Fredriksson , Stefano Markidis