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Background: Radiotherapy treatment planning involves solving large-scale optimization problems that are often approximated and solved sub-optimally due to time constraints. Central to these problems is the dose influence matrix which…

Medical Physics · Physics 2024-10-02 Mojtaba Tefagh , Gourav Jhanwar , Masoud Zarepisheh

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…

Populations and Evolution · Quantitative Biology 2007-06-28 O. Sotolongo-Grau , D. Rodriguez-Perez , J. A. Santos-Miranda , O. Sotolongo-Costa , J. C. Antoranz

Hadrontherapy is a novel technique of cancer radiation therapy which employs beams of charged hadrons, protons and carbon ions in particular. Due to their physical and radiobiological properties, they allow one to obtain a more conformal…

Medical Physics · Physics 2015-05-14 Saverio Braccini

Radiation therapy is an important tool in the treatment of breast cancer and can play a crucial role in improving patient outcomes. For breast cancer, if the technique has been for a long time the use of 3DCRT, clinicians have seen the…

We apply the superiorization methodology to the intensity-modulated radiation therapy (IMRT) treatment planning problem. In superiorization, linear voxel dose inequality constraints are the fundamental modeling tool within which a…

Medical Physics · Physics 2022-07-28 Florian Barkmann , Yair Censor , Niklas Wahl

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…

Mathematical Software · Computer Science 2023-05-30 Felix Liu , Måns I. Andersson , Albin Fredriksson , Stefano Markidis

In the treatment plan optimization for intensity modulated radiation therapy (IMRT), dose-deposition coefficient (DDC) matrix is often pre-computed to parameterize the dose contribution to each voxel in the volume of interest from each…

Medical Physics · Physics 2013-03-15 Zhen Tian , Masoud Zarepisheh , Xun Jia , Steve B. Jiang

The individualized treatment rule (ITR), which recommends an optimal treatment based on individual characteristics, has drawn considerable interest from many areas such as precision medicine, personalized education, and personalized…

Methodology · Statistics 2023-09-28 Qi Xu , Haoda Fu , Annie Qu

Radiotherapy (RT) is a critical cancer treatment, with volumetric modulated arc therapy (VMAT) being a commonly used technique that enhances dose conformity by dynamically adjusting multileaf collimator (MLC) positions and monitor units…

Medical Physics · Physics 2025-06-26 Stefanos Achlatis , Efstratios Gavves , Jan-Jakob Sonke

We propose a hybrid quantum-classical algorithm for approximating the ground state of two-dimensional quantum systems using an isometric tensor network ansatz, which maps naturally to quantum circuits. Inspired by the density matrix…

Intensity Modulated Radiation Therapy is an effective cancer treatment. Models based on the Generalized Equivalent Uniform Dose (gEUD) provide radiation plans with excellent planning target volume coverage and low radiation for organs at…

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

This paper describes the algorithm and examines the performance of an IMRT beam-angle optimization (BAO) system. In this algorithm successive sets of beam angles are selected from a set of predefined directions using a fast simulated…

Medical Physics · Physics 2009-11-10 David Djajaputra , Qiuwen Wu , Yan Wu , Radhe Mohan

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

Intensity-modulated proton therapy (IMPT) employs proton radiation rather than conventional X-rays to treat cancerous tumors. This approach offers significant advantages by minimizing the radiation exposure of surrounding healthy tissue,…

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…

Medical Physics · Physics 2021-05-12 Junbo Peng , Ailin Wu , Lei Zhu

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…

Optimization and Control · Mathematics 2021-01-29 Jayanth Pratap

Radiation therapy has remained as one of the main cancer treatment modalities and a highly cost-effective single modality treatment of cancer care. Typical regimens for fractionated external beam radiotherapy comprise a constant dose…

Medical Physics · Physics 2022-04-19 Jose Alvarez , Kathleen M. Storey , Pavitra Kannan , Heyrim Cho

In oncology, treating cancer with a beam of photons is a well established therapeutic technique, developed over 100 years, and today over 50% of cancer patients will undergo traditional X-ray radiotherapy. However, ionizing radiation…

Medical Physics · Physics 2016-02-08 Mersini Makropoulou

Optimization with constraints is a typical problem in quantum physics and quantum information science that becomes especially challenging for high-dimensional systems and complex architectures like tensor networks. Here we use ideas of…

Quantum Physics · Physics 2021-11-18 Ilia A. Luchnikov , Mikhail E. Krechetov , Sergey N. Filippov