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Mixed-Integer Programming (MIP), particularly Mixed-Integer Linear Programming (MILP) and Mixed-Integer Quadratic Programming (MIQP), has found extensive applications in domains such as portfolio optimization and network flow control, which…

最优化与控制 · 数学 2026-02-03 Zayn Wang

We propose to develop deep learning models that can predict Pareto optimal dose distributions by using any given set of beam angles, along with patient anatomy, as input to train the deep neural networks. We implement and compare two deep…

医学物理 · 物理学 2021-01-27 Gyanendra Bohara , Azar Sadeghnejad Barkousaraie , Steve Jiang , Dan Nguyen

Conventional beam orientation optimization (BOO) algorithms for IMRT assume that the same set of beam angles is used for all treatment fractions. In this paper we present a BOO formulation based on group sparsity that simultaneously…

医学物理 · 物理学 2018-03-14 Daniel O'Connor , Dan Nguyen , Dan Ruan , Victoria Yu , Ke Sheng

A new delivery option for cancer centers equipped with linear accelerators fitted with multi-leaf collimators (MLC) -- i.e. centers which can perform intensity modulated radiation therapy (IMRT) -- is rotational delivery. In rotational…

医学物理 · 物理学 2009-10-27 David Craft , Thomas Bortfeld

A novel and highly efficient computational framework for reconstructing binary-type images suitable for models of various complexity seen in diverse biomedical applications is developed and validated. Efficiency in computational speed and…

最优化与控制 · 数学 2024-02-09 Paul R. Arbic , Vladislav Bukshtynov

Particle accelerators are among some of the largest science experiments in the world and can consist of thousands of components with a wide variety of input ranges. These systems can easily become unwieldy optimization problems during…

加速器物理 · 物理学 2022-11-01 Nicole Neveu , Tyler H. Chang , Paris Franz , Stephen Hudson , Jeffrey Larson

Radiation therapy treatment planning can be viewed as an iterative hyperparameter tuning process to balance conflicting clinical goals. In this work, we investigated the performance of modern Bayesian Optimization (BO) methods on automated…

医学物理 · 物理学 2023-02-15 Qingying Wang , Ruoxi Wang , Jiacheng Liu , Fan Jiang , Haizhen Yue , Yi Du , Hao Wu

PET/CT imaging is the gold standard for tumor detection, offering high accuracy in identifying local and metastatic lesions. Radiologists often begin assessment with rotational Multi-Angle Maximum Intensity Projections (MIPs) from PET,…

图像与视频处理 · 电气工程与系统科学 2025-10-13 Romario Zarik , Nahum Kiryati , Michael Green , Liran Domachevsky , Arnaldo Mayer

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…

最优化与控制 · 数学 2014-02-07 R. Davidi , Y. Censor , R. W. Schulte , S. Geneser , L. Xing

The modern workflow for radiation therapy treatment planning involves mathematical optimization to determine optimal treatment machine parameters for each patient case. The optimization problems can be computationally expensive, requiring…

数学软件 · 计算机科学 2023-05-30 Felix Liu , Måns I. Andersson , Albin Fredriksson , Stefano Markidis

Modern external beam cancer radiotherapy applies prescribed radiation doses to tumor targets while minimally affecting nearby vulnerable organs-at-risk (OARs). Creating a treatment plan is difficult and time-consuming with no guarantee of…

医学物理 · 物理学 2021-07-07 Lyndon Hibbard

This paper deals with the classic radiotherapy dose fractionation problem for cancer tumors concerning the following goals: a) To maximize the effect of radiation on the tumor, restricting the effect produced to the organs at risk (healing…

最优化与控制 · 数学 2021-02-17 Luis Alberto Fernández , Lucía Fernández

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…

医学物理 · 物理学 2024-11-28 Aoxiang Wang , Ya-Nan Zhu , Jufri Setianegara , Yuting Lin , Peng Xiao , Qingguo Xie , Hao Gao

To date, research in quantum computation promises potential for outperforming classical heuristics in combinatorial optimization. However, when aiming at provable optimality, one has to rely on classical exact methods like integer…

量子物理 · 物理学 2025-03-13 Friedrich Wagner , Jonas Nüßlein , Frauke Liers

We consider an optimization problem for spatial power distribution generated by an array of transmitting elements. Using ultrasound hyperthermia cancer treatment as a motivating example, the signal design problem consists of optimizing the…

信息论 · 计算机科学 2015-10-20 Nafiseh Shariati , Dave Zachariah , Johan Karlsson , Mats Bengtsson

The advent of ultra-high dose rate irradiation, known as FLASH radiation therapy, has shown promising potential in reducing toxicity while maintaining tumor control. However, the clinical translation of these benefits necessitates efficient…

医学物理 · 物理学 2024-09-19 Viktor Wase , Oscar Widenfalk , Rasmus Nilsson , Claes Fälth , Albin Fredriksson

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…

医学物理 · 物理学 2024-08-12 Sebastian Mair , Anqi Fu , Jens Sjölund

Current inverse treatment planning methods that optimize both catheter positions and dwell times in prostate HDR brachytherapy use surrogate linear or quadratic objective functions that have no direct interpretation in terms of dose-volume…

医学物理 · 物理学 2014-08-13 Bram L. Gorissen , Dick den Hertog , Aswin L. Hoffmann

A dynamical system model for tumor -- immune system interaction together with a method to mimic radiation therapy are proposed. A large population of virtual patients is simulated following an ideal radiation treatment. A characteristic…

种群与进化 · 定量生物学 2007-06-28 O. Sotolongo-Grau , D. Rodriguez-Perez , J. A. Santos-Miranda , O. Sotolongo-Costa , J. C. Antoranz

Objective: Radiation therapy treatment planning is a time-consuming process involving iterative adjustments of hyperparameters. To automate the treatment planning process, we propose a meta-optimization framework, called MetaPlanner (MP).…

医学物理 · 物理学 2022-02-22 Charles Huang , Yusuke Nomura , Yong Yang , Lei Xing