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This paper deals with the classic radiotherapy dose fractionation problem for cancer tumors concerning the following goals: a) To maximize the effect of radiation on the tumor, restricting the effect produced to the organs at risk (healing…

Optimization and Control · Mathematics 2021-02-17 Luis Alberto Fernández , Lucía Fernández

Radiation therapy is one of the most common cancer treatments, and dose optimization and targeting of radiation are crucial since both cancerous and healthy cells are affected. Different mathematical and computational approaches have been…

Biological Physics · Physics 2025-11-07 Mirko Bagnarol , Gianluca Lattanzi , Jan Åström , Mikko Karttunen

Exploratory cancer drug studies test multiple tumor cell lines against multiple candidate drugs. The goal in each paired (cell line, drug) experiment is to map out the dose-response curve of the cell line as the dose level of the drug…

Machine Learning · Statistics 2021-03-23 Wesley Tansey , Christopher Tosh , David M. Blei

It has long been known that radiation biology plays an important role and it is necessary for radiotherapy treatments. The radiation effects on normal and malignant tissues after exposure range from a femtosecond to months and years…

Medical Physics · Physics 2017-04-24 Cyril Voyant , Daniel Julian

The goal of radiation therapy for cancer is to deliver prescribed radiation dose to the tumor while minimizing dose to the surrounding healthy tissues. To evaluate treatment plans, the dose distribution to healthy organs is commonly…

Methodology · Statistics 2024-05-24 Thai-Son Tang , Zhihui Liu , Ali Hosni , John Kim , Olli Saarela

We propose a mathematical model for estimating biological damage caused by low-dose irradiation. We understand that the Linear Non Threshold (LNT) hypothesis is realized only in the case of no recovery effects. In order to treat the…

Biological Physics · Physics 2012-10-08 Yuichiro Manabe , Kento Ichikawa , Masako Bando

This article reviews the evolving field of radiobiology, emphasizing the need for advanced multiscale, mechanistic models to optimize radiopharmaceutical therapies (RPT). While the traditional linear-quadratic (LQ) model underpins external…

Medical Physics · Physics 2025-09-23 Tahir Yusufaly , Hamid Abdollahi , Babak Saboury , Arman Rahmim

Computational systems and methods are often being used in biological research, including the understanding of cancer and the development of treatments. Simulations of tumor growth and its response to different drugs are of particular…

There is evidence of synergy between radiotherapy and immunotherapy. Radiotherapy can increase liberation of tumor antigens, causing activation of antitumor T-cells. This effect can be boosted with immunotherapy. Radioimmunotherapy has…

In cancer radiotherapy, the standard formulation of the optimal fractionation problem based on the linear-quadratic dose-response model is a non-convex quadratically constrained quadratic program (QCQP). An optimal solution for this QCQP…

Optimization and Control · Mathematics 2021-08-09 Ali Ajdari , Archis Ghate

Longitudinal tumour volume data from head-and-neck cancer patients show that tumours of comparable pre-treatment size and stage may respond very differently to the same radiotherapy fractionation protocol. Mathematical models are often…

We propose LD(Low Dose) model, the extension of LDM model which was proposed in the previous paper [Y. Manabe et al.: J. Phys. Soc. Jpn. 81 (2012) 104004] to estimate biological damage caused by irradiation. LD model takes account of all…

Biological Physics · Physics 2015-06-05 Yuichiro Manabe , Masako Bando

We developed a mathematical model to simulate the growth of tumor volume and its response to a single fraction of high dose irradiation. We made several key assumptions of the model. Tumor volume is composed of proliferating (or dividing)…

Medical Physics · Physics 2015-11-13 Yoichi Watanabe , Erik L. Dahlman , Kevin Z. Leder , Susanta K. Hui

It is possible to find the optimized radiation dose per session for a radiotherapy (RT) treatment, using a population dynamics model. This has already been done in a previous work for a protocol with 30 sessions and a fixed dose per…

We propose an adaptive design for early phase drug combination cancer trials with the goal of estimating the maximum tolerated dose (MTD). A nonparametric Bayesian model, using beta priors truncated to the set of partially ordered dose…

Applications · Statistics 2019-10-22 Zahra S. Razaee , Galen Wien-Cook , Mourad Tighiouart

We analyze the effect of tumor repopulation on optimal dose delivery in radiation therapy. We are primarily motivated by accelerated tumor repopulation towards the end of radiation treatment, which is believed to play a role in treatment…

Medical Physics · Physics 2015-04-28 Thomas Bortfeld , Jagdish Ramakrishnan , John N. Tsitsiklis , Jan Unkelbach

The biological effect of one single radiation dose on a living tissue has been described by several radiobiological models. However, the fractionated radiotherapy requires to account for a new magnitude: time. In this paper we explore the…

Tissues and Organs · Quantitative Biology 2013-01-10 O. Sotolongo-Grau , Daniel Rodriguez-Perez , Oscar Sotolongo-Costa , J. C. Antoranz

Objective: Tumor Treating Fields (TTFields) is an emerging approach for cancer therapy that inhibits tumor cell proliferation by applying alternating electric fields (EF) of intermediate frequency and low intensity. The TTFields-induced…

Medical Physics · Physics 2024-10-17 Minmin Wang , Xu Xie , Zhengbo Fan , Yue Lan , Yun Pan , Guangdi Chen , Shaomin Zhang , Yuxing Wang

Deep learning (DL) has successfully automated dose distribution prediction in radiotherapy planning, enhancing both efficiency and quality. However, existing methods suffer from the over-smoothing problem for their commonly used L1 or L2…

Computer Vision and Pattern Recognition · Computer Science 2024-07-10 Zhenghao Feng , Lu Wen , Jianghong Xiao , Yuanyuan Xu , Xi Wu , Jiliu Zhou , Xingchen Peng , Yan Wang

The normal tissue complication probability (NTCP) is a measure for the estimated side effects of a given radiation treatment schedule. Here we use a stochastic logistic birth death process to define an organ specific and patient specific…

Tissues and Organs · Quantitative Biology 2014-12-11 Theresa Stocks , Thomas Hillen , Jiafen Gong , Martin Burger
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