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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

In this article, we focus on determining a minimum-cost treatment program aimed at maintaining the size of a cancerous tumor at a level that allows the patient to live comfortably. At each predetermined point in a treatment horizon, the…

Optimization and Control · Mathematics 2026-03-31 Alain Billionnet

Radioactive ion beams (RIB) are a key focus of current research in nuclear physics. Already long ago it was proposed that they could have applications in cancer therapy. In fact, while charged particle therapy is potentially the most…

Objective: Spatiotemporal optimization in radiation therapy involves determining the optimal number of dose delivery fractions (temporal) and the optimal dose per fraction (spatial). Traditional approaches focus on maximizing the…

Medical Physics · Physics 2025-09-08 Nimita Shinde , Wangyao Li , Ronald C Chen , Hao Gao

Besides training, mathematical optimization is also used in deep learning to model and solve formulations over trained neural networks for purposes such as verification, compression, and optimization with learned constraints. However,…

Optimization and Control · Mathematics 2024-01-30 Jiatai Tong , Junyang Cai , Thiago Serra

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

We summarize recent results and ongoing activities in mathematical algorithms and computer science methods related to proton computed tomography (pCT) and intensity-modulated particle therapy (IMPT) treatment planning. Proton therapy…

Medical Physics · Physics 2021-08-24 Yair Censor , Keith E. Schubert , Reinhard W. Schulte

Proton therapy is a modality in fast development. Characterized by a maximum dose deposition at the end of the proton trajectory followed by a sharp fall-off, proton beams can deliver a highly conformal dose to the tumor while sparing…

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

The selection of beam orientations, which is a key step in radiation treatment planning, is particularly challenging for non-coplanar radiotherapy systems due to the large number of candidate beams. In this paper, we report progress on the…

Medical Physics · Physics 2017-10-17 Daniel O'Connor , Yevgen Voronenko , Dan Nguyen , Wotao Yin , Ke Sheng

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

Intensity-modulated proton therapy (IMPT) offers superior dose conformity with reduced exposure to surrounding healthy tissues compared to conventional photon therapy. Improving IMPT delivery efficiency reduces motion-related uncertainties,…

Medical Physics · Physics 2025-04-15 Ya-Nan Zhu , Nimita Shinde , Bowen Lin , Hao Gao

Geometric uncertainty can degrade treatment quality in radiation therapy. While margins and robust optimization mitigate these effects, they provide only implicit control over clinical goal fulfillment probability. We therefore develop a…

Medical Physics · Physics 2026-01-14 Albin Fredriksson , Erik Engwall , Jenneke de Jong , Johan Sundström

In this paper, we investigate protection strategies of sensitive body anatomy against the irradiation to the cancerous moving tumors in intensity modulated radiation therapy. Inspired by optimization techniques developed in statistical…

Medical Physics · Physics 2009-07-29 Ramin M. Abolfath , Lech Papiez

Chemotherapy appointment scheduling is a challenging problem due to the uncertainty in pre-medication and infusion durations. In this paper, we formulate a two-stage stochastic mixed integer programming model for the chemotherapy…

Optimization and Control · Mathematics 2021-01-20 Nur Banu Demir , Serhat Gul , Melih Celik

The widespread adoption of on-board volumetric imaging in cancer radiotherapy has stimulated research efforts to develop online adaptive radiotherapy techniques to handle the inter-fraction variation of the patient's geometry. Such efforts…

Medical Physics · Physics 2015-05-14 Chunhua Men , Xuejun Gu , Dongju Choi , Amitava Majumdar , Ziyi Zheng , Klaus Mueller , Steve B. Jiang

Purpose: Various dose calculation algorithms are available for radiation therapy for cancer patients. However, these algorithms are faced with the tradeoff between efficiency and accuracy. The fast algorithms are generally less accurate,…

Medical Physics · Physics 2020-07-01 Yixun Xing , Dan Nguyen , Weiguo Lu , Ming Yang , Steve Jiang

With the continued evolution of modern radiation therapy towards high precision delivery of high therapeutic doses to the tumour while optimally sparing surrounding healthy tissue, imaging becomes a crucial component to identify the…

Medical Physics · Physics 2018-04-24 Katia Parodi

A central problem in the field of radiation therapy (RT) is how to optimally deliver dose to a patient in a way that fully accounts for anatomical position changes over time. As current RT is a static process, where beam intensities are…

Medical Physics · Physics 2019-09-04 Rodney D. Wiersma , Xinmin Liu

In multi-stage radiotherapy, a patient is treated in several stages separated by weeks or months. This regimen has been motivated mostly by radiobiological considerations, but also provides an approach to reduce normal tissue dose by…

Objective: Proton spot-scanning arc therapy (ARC) is an emerging modality that can improve the high-dose conformity to targets compared with standard intensity-modulated proton therapy (IMPT). However, the efficient treatment delivery of…