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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

We present a method of directly optimizing on deviations in clinical goal values in radiation therapy treatment planning. Using a new mathematical framework in which metrics derived from the dose-volume histogram are regarded as functionals…

Medical Physics · Physics 2021-09-07 Tianfang Zhang , Rasmus Bokrantz , Jimmy Olsson

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

Malignant gliomas (MGs), particularly glioblastoma, are among the most aggressive brain tumors, with limited treatment options and a poor prognosis. Maximal safe resection and the so-called Stupp protocol are the standard first-line…

Radiotherapy planning naturally leads to a multi-criteria optimization problem which is subject to different sources of uncertainty. In order to find the desired treatment plan, a decision maker must balance these objectives as well as the…

Optimization and Control · Mathematics 2026-01-27 Jan Schröeder , Yair Censor , Philipp Süss , Karl-Heinz Küfer

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…

An efficient computational approach for imaging binary-type physical properties suitable for various models in biomedical applications is developed and validated. The proposed methodology includes gradient-based multiscale optimization with…

Optimization and Control · Mathematics 2024-01-30 Maria M. F. M. Chun , Briana L. Edwards , Vladislav Bukshtynov

Proton therapy is a cancer treatment technique currently in growth worldwide. It offers advantages with respect to conventional X-ray and $\gamma$-ray radiotherapy, in particular, a better control of the dose deposition allowing to reach a…

Deep learning has facilitated the automation of radiotherapy by predicting accurate dose distribution maps. However, existing methods fail to derive the desirable radiotherapy parameters that can be directly input into the treatment…

Computer Vision and Pattern Recognition · Computer Science 2024-03-01 Jiaqi Cui , Yuanyuan Xu , Jianghong Xiao , Yuchen Fei , Jiliu Zhou , Xingcheng Peng , Yan Wang

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

We investigate the possibility of usage of the parametric X-ray radiation (PXR) for the selective therapy of superficial sulfur-containing tumor tissues. In these tissues, the concentration of sulfur atoms is significantly higher than in…

Biological Physics · Physics 2025-10-07 N. Q. San , O. D. Skoromnik , A. U. Leonau , V. Q. Nha , I. D. Feranchuk

Ion beam therapy has become a frequently applied form of cancer therapy over the last years. The advantage of ion beam therapy over conventional radiotherapy using photons is the strongly localized dose deposition, leading to a reduction of…

Instrumentation and Detectors · Physics 2020-07-28 F. Ulrich-Pur , T. Bergauer , A. Burker , S. Hatamikia , A. Hirtl , C. Irmler , S. Kaser , P. Paulitsch , F. Pitters , V. Teufelhart

Grade II gliomas are slowly growing primary brain tumors that affect mostly young patients and become fatal after a few years. Current clinical handling includes surgery as first line treatment. Cytotoxic therapies (radiotherapy RT or…

Quantitative Methods · Quantitative Biology 2014-07-09 Victor M. Perez-Garcia

We continue our study of a model for cancer treatment, constructed in Dutta et. al., 2025, by adding Virotherapy to the Chemotherapy and Immunotherapy studied there. It is a dynamical system model for the spread of cancer in healthy tissue.…

Other Quantitative Biology · Quantitative Biology 2026-03-02 Tarini Kumar Dutta , Silmera A Sangma , Janice Moore , Meir Shillor

Purpose: To identify the most informative methods for reporting results of treatment planning comparisons. Methods: Seven papers from the past year of International Journal of Radiation Oncology Biology Physics reported on comparisons of…

Medical Physics · Physics 2012-02-20 Mark Phillips , Clay Holdsworth

We are in a golden age of progress in artificial intelligence (AI). Radiotherapy, due to its technology-intensive nature as well as direct human-machine interactions, is perfectly suited for benefitting from AI to enhance accuracy and…

Medical Physics · Physics 2022-11-21 Hao Peng , Chao Wu , Dan Nguyen , Jan Schuemann , Andrea Mairani , Yuehu Pu , Steve Jiang

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

A new concept of the molecular structure optimization method based on quantum dynamics computations is presented. Nuclei are treated as quantum mechanical particles, as are electrons, and the many-body wave function of the system is…

Immunotherapy constitutes a paradigm shift in cancer treatment. Its FDA approval for several indications has yielded improved prognosis for cases where traditional therapy has shown limited efficiencey. However, many patients still fail to…

Medical Physics · Physics 2023-08-08 Nikita Vladimirov , Or Perlman

A multicompartment mathematical model is presented with the goal of studying the role of dose-dense protocols in the context of combination cancer chemotherapy. Dose-dense protocols aim at reducing the period between courses of chemotherapy…

Populations and Evolution · Quantitative Biology 2019-09-04 Álvaro G. López , Kelly C. Iarosz , Antonio M. Batista , Jesús M. Seoane , Ricardo L. Viana , Miguel A. F. Sanjuán