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We present for the first time a general 6DoF trajectory planning method that can be used in real-time image guided radiation therapy procedures for robotic stabilization of dynamically moving tumor targets. As the radiation beam is always…

Medical Physics · Physics 2018-08-14 Rodney D. Wiersma , Xinmin Liu

In this work, we focus on the analytical and numerical study of a mathematical model for brain tumors with radiotherapy influence. Under certain assumptions on the given data in the model, we prove existence and uniqueness of a weak…

Analysis of PDEs · Mathematics 2024-09-27 Marina Chugunova , Hangjie Ji , Roman Taranets , Nataliya Vasylyeva

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.…

Optimization and Control · Mathematics 2016-12-06 Shogo Kishimoto , Makoto Yamashita

Planning of radiotherapy involves accurate segmentation of a large number of organs at risk, i.e. organs for which irradiation doses should be minimized to avoid important side effects of the therapy. We propose a deep learning method for…

Image and Video Processing · Electrical Eng. & Systems 2019-07-04 Pawel Mlynarski , Hervé Delingette , Hamza Alghamdi , Pierre-Yves Bondiau , Nicholas Ayache

Cancer is a heterogeneous disease and tumours of the same type can differ greatly at the genetic and phenotypic levels. Understanding how these differences impact sensitivity to treatment is an essential step towards patient-specific…

Tissues and Organs · Quantitative Biology 2023-02-28 Chloé Colson , Philip K. Maini , Helen M. Byrne

The Radiotherapy treatment planning optimization process based on a quasi-Newton algorithm with an object function containing dose-volume constraints is not guaranteed to converge when the dose value in the dose-volume constraint is a…

Classical Analysis and ODEs · Mathematics 2008-12-02 I. Hoveijn

Background: A growing number of cancer patients with brain metastases can benefit from stereotactic radiosurgery (SRS) thanks to recent advances in systemic therapies. With an increasing patient load, single-isocenter treatments on widely…

Medical Physics · Physics 2025-10-08 Johan Sundström , Anton Finnson , Elin Hynning , Geert De Kerf , Albin Fredriksson

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…

Program behavior may depend on parameters, which are either configured before compilation time, or provided at run-time, e.g., by sensors or other input devices. Parametric program analysis explores how different parameter settings may…

Programming Languages · Computer Science 2014-06-23 Thomas M. Gawlitza , Martin D. Schwarz , Helmut Seidl

Proper X-ray radiation design (via dynamic fluence field modulation, FFM) allows to reduce effective radiation dose in computed tomography without compromising image quality. It takes into account patient anatomy, radiation sensitivity of…

Medical Physics · Physics 2024-01-02 Anatoli Juditsky , Arkadi Nemirovski , Michael Zibulevsky

Low grade gliomas (LGGs) are a group of primary brain tumors usually encountered in young patient populations. These tumors represent a difficult challenge because many patients survive a decade or more and may be at a higher risk for…

In this paper, we studied phase-space analysis of a certain mathematical model of tumor growth with an immune responses and chemotherapy therapy. Mathematical modelling of this process is viewed as a potentially powerful tool in the…

Dynamical Systems · Mathematics 2018-03-15 Veli Shakhmurov , Akif Maharramov , Bunyad Shahmurzada

We mathematically justify metronomic chemotherapy as the best strategy to apply most cytotoxic drugs in oncology for both curative and palliative approaches, assuming the classical pharmacokinetic model together with the Emax…

Optimization and Control · Mathematics 2021-10-15 Luis A. Fernández , Cecilia Pola , Judith Sáinz-Pardo

The limits of TDF (time, dose, and fractionation) and linear quadratic models have been known for a long time. Medical physicists and physicians are required to provide fast and reliable interpretations regarding the delivered doses or any…

Computational Engineering, Finance, and Science · Computer Science 2013-08-28 Cyril Voyant , Daniel Julian , Rudy Roustit , Katia Biffi , Celine Lantieri Marcovici

In this paper we present a method for simultaneously segmenting brain tumors and an extensive set of organs-at-risk for radiation therapy planning of glioblastomas. The method combines a contrast-adaptive generative model for whole-brain…

Computer Vision and Pattern Recognition · Computer Science 2018-08-17 Mikael Agn , Per Munck af Rosenschöld , Oula Puonti , Michael J. Lundemann , Laura Mancini , Anastasia Papadaki , Steffi Thust , John Ashburner , Ian Law , Koen Van Leemput

The understanding of inactivation radiobiological mechanism in individual cells is important when from one side the application of ionizing radiation to tumour therapy and from the other side the protection against radiation are to be…

Biological Physics · Physics 2008-02-01 J. Barilla , M. Lokajíček , P. Simr

Many policies involve dynamics in their treatment assignments, where individuals receive sequential interventions over multiple stages. We study estimation of an optimal dynamic treatment regime that guides the optimal treatment assignment…

Econometrics · Economics 2024-09-04 Shosei Sakaguchi

Introduction: Intra-organ radiation dose sensitivity is becoming increasingly relevant in clinical radiotherapy. One method for assessment involves partitioning delineated regions of interest and comparing the relative contributions or…

Quantitative Methods · Quantitative Biology 2017-05-08 Haley D. Clark , Stefan A. Reinsberg , Vitali Moiseenko , Jonn Wu , Steven D. Thomas

Stereotactic body radiotherapy (SBRT) is characterized by delivering a high amount of dose in a short period of time. In SBRT the dose is delivered using open fields (e.g., beam's-eye-view) known as "apertures". Mathematical methods can be…

Medical Physics · Physics 2015-06-15 Hamed Yarmand , David Craft

The growth of many solid tumors has been found to be driven by chemo- and radiotherapy-resistant cancer stem cells (CSCs). A suitable therapeutic avenue in these cases may involve the use of a differentiating agent (DA) to force the…

Tissues and Organs · Quantitative Biology 2023-03-09 Jerónimo Fotinós , Lucas Barberis , Carlos A. Condat