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We study the problem of finding an optimal radiotherapy treatment plan. A time-dependent Boltzmann particle transport model is used to model the interaction between radiative particles with tissue. This model allows for the modeling of…

Optimization and Control · Mathematics 2015-03-19 Richard Barnard , Martin Frank , Michael Herty

Radiation therapy outcomes are decided by two key parameters, dose and timing, whose best values vary substantially across patients. This variability is especially critical in the treatment of brain cancer, where fractionated or staged…

Medical Physics · Physics 2025-06-24 Hao Peng , Steve Jiang , Robert Timmerman

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

We develop a methodology to create data-driven predictive digital twins for optimal risk-aware clinical decision-making. We illustrate the methodology as an enabler for an anticipatory personalized treatment that accounts for uncertainties…

Computational Engineering, Finance, and Science · Computer Science 2024-06-18 Anirban Chaudhuri , Graham Pash , David A. Hormuth , Guillermo Lorenzo , Michael Kapteyn , Chengyue Wu , Ernesto A. B. F. Lima , Thomas E. Yankeelov , Karen Willcox

We propose a novel optimization model for volumetric modulated arc therapy (VMAT) planning that directly optimizes deliverable leaf trajectories in the treatment plan optimization problem, and eliminates the need for a separate…

Medical Physics · Physics 2014-03-05 Dávid Papp , Jan Unkelbach

Optimal treatment regimes (OTR) are individualised treatment assignment strategies that identify a medical treatment as optimal given all background information available on the individual. We discuss Bayes optimal treatment regimes…

Radiation therapy (RT) aims to deliver tumoricidal doses with minimal radiation-induced normal-tissue toxicity. Compared to conventional RT (of conventional dose rate), FLASH-RT (of ultra-high dose rate) can provide additional normal tissue…

Optimization and Control · Mathematics 2023-11-27 Fengmiao Bian , Jiulong Liu , Xiaoqun Zhang , Hao Gao , Jian-Feng Cai

High-dose-rate brachytherapy is a tumor treatment method where a highly radioactive source is brought in close proximity to the tumor. In this paper we develop a simulated annealing algorithm to optimize the dwell times at preselected dwell…

Medical Physics · Physics 2017-03-29 Timo M. Deist , Bram L. Gorissen

Radiation therapy aims to deliver the prescribed amount of dose to a tumour at the same time as sparing the surrounding tissues as much as possible. In charged particle therapy, delivering the prescribed dose is equivalent to delivering the…

Medical Physics · Physics 2018-03-05 Simona Giordanengo , Marco Donetti

Using fiducial markers on patient's body surface to predict the tumor location is a widely used approach in lung cancer radiotherapy. The purpose of this work is to propose an algorithm that automatically identifies a sparse set of…

Medical Physics · Physics 2015-06-04 Bin Dong , Yan Jiang Graves , Xun Jia , Steve B. Jiang

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

This paper develops and analyzes an optimal-order semi-discrete scheme and its fully discrete finite element approximation for nonlinear stochastic elastic wave equations with multiplicative noise. A non-standard time-stepping scheme is…

Numerical Analysis · Mathematics 2025-04-08 Xiaobing Feng , Yukun Li , Liet Vo

Interfractional geometric uncertainties can lead to deviations of the actual delivered dose from the prescribed dose distribution. To better handle these uncertainties during treatment, the authors propose a dynamic framework for robust…

Medical Physics · Physics 2019-05-16 Michelle Böck , Kjell Eriksson , Anders Forsgren

The purpose of this study is to evaluate the clinical usefulness of modulated arc (mARC) treatment techniques. The mARC treatment plans of the non-small cell lung cancer (NSCLC) patients were performed in order to verify the clinical…

Efficient optimization of operating room (OR) activity poses a significant challenge for hospital managers due to the complex and risky nature of the environment. The traditional "one size fits all" approach to OR scheduling is no longer…

Applications · Statistics 2024-03-21 David Azriel , Yosef Rinott , Orna Tal , Benyamine Abbou , Nadav Rappoport

A 'dual-field' strategy is often used for tumors with highly complex shapes and/or with large volumes exceeding available field-size in both passive and scanning irradiations with ion beams. Range and setup uncertainties can cause hot and…

Medical Physics · Physics 2010-10-06 Taku Inaniwa , Nobuyuki Kanematsu , Takuji Furukawa , Koji Noda

Background. Designing trials to reduce treatment duration is important in several therapeutic areas, including TB and antibiotics. We recently proposed a new randomised trial design to overcome some of the limitations of standard two-arm…

Electronic phased-array radars offer new possibilities for radar search pattern optimization by using bi-dimensional beam-forming and beam-steering. Radar search pattern optimization can be approximated as a set cover problem and solved…

Optimization and Control · Mathematics 2020-02-13 Yann Briheche , Frédéric Barbaresco , Fouad Bennis , Damien Chablat

Diffusion probabilistic models have set a new standard for generative fidelity but are hindered by a slow iterative sampling process. A powerful training-free strategy to accelerate this process is Schedule Optimization, which aims to find…

Machine Learning · Computer Science 2026-05-20 Aihua Zhu , Rui Su , Qinglin Zhao , Li Feng , Meng Shen , Shibo He

Most commercially available treatment planning systems for brachytherapy operate based on physical dose and do not incorporate fractionation or tissue-specific response. The purpose of this study is to investigate the potential for…

Medical Physics · Physics 2017-12-04 Kaelyn Seeley , I-Chow J. Hsu , Tae Min Hong , J. Adam Cunha
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