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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

A new computational tool TumorGrowth$.$jl for modeling tumor growth is introduced. The tool allows the comparison of standard textbook models, such as General Bertalanffy and Gompertz, with some newer models, including, for the first time,…

Machine Learning · Computer Science 2025-02-17 Anthony D. Blaom , Samuel Okon

We present a novel model to estimate biological effects caused by artificial radiation exposure, Whack-a-mole (WAM) model. It is important to take account of the recovery effects during the time course of the cellular reactions. The…

Biological Physics · Physics 2015-06-23 Yuichiro Manabe , Takahiro Wada , Yuichi Tsunoyama , Hiroo Nakajima , Issei Nakamura , Masako Bando

Radiotherapy is sensitive to executional and preparational uncertainties that propagate to uncertainty in dose and plan quality indicators like dose-volume histograms (DVHs). Current approaches to quantify and mitigate such uncertainties…

Medical Physics · Physics 2020-10-27 Niklas Wahl , Philipp Hennig , Hans-Peter Wieser , Mark Bangert

Dose volume histograms are a useful tool in state-of-the-art radiotherapy planning, and it is essential to be aware of their limitations. Dose distributions computed by treatment planning systems are affected by several sources of…

Medical Physics · Physics 2007-06-13 Francisco Cutanda-Henriquez , Silvia Vargas-Castrillon

Glioblastoma Multiforme (GBM) is a highly aggressive brain tumour with limited therapeutic options and poor prognosis. This study presents a mathematical framework to investigate the efficacy of immunotherapy strategies based on cytotoxic…

Populations and Evolution · Quantitative Biology 2025-12-23 Francesca Ballatore , Lorenzo Scolaris , Chiara Giverso

Treatment with high energy ionizing radiation is one of the main methods in modern cancer therapy that is in clinical use. During the last decades, two main approaches to dose calculation were used, Monte Carlo simulations and…

Medical Physics · Physics 2015-05-14 Roland Duclous , Bruno Dubroca , Martin Frank

It has been postulated that the delivery of radiotherapy at ultra-high dose rates ("FLASH") reduces normal tissue toxicities by depleting them of oxygen. The fraction of normal tissue and cancer cells surviving radiotherapy depends on dose…

Medical Physics · Physics 2022-05-18 Edward Taylor , Richard P. Hill , Daniel Letourneau

Drug combination trials are increasingly common nowadays in clinical research. However, very few methods have been developed to consider toxicity attributions in the dose escalation process. We are motivated by a trial in which the…

Methodology · Statistics 2018-08-23 Jose L. Jimenez , Mourad Tighiouart , Mauro Gasparini

We propose Radiation Exposure Theory (RET), a mathematical framework to estimate biological damage caused by irradiation. This is an extension of LDM model which was proposed in the paper [Y. Manabe et al.: J. Phys. Soc. Jpn. 81,…

Biological Physics · Physics 2014-11-18 Yuichiro Manabe , Masako Bando

We propose the BayesDose-Framework, a Bayesian approach for fast and accurate dose prediction in proton therapy. Our framework is based on a previously published deterministic LSTM model and is trained and evaluated on simulated beamlet…

Medical Physics · Physics 2023-07-04 Luke Voss , Ahmad Neishabouri , Tim Ortkamp , Andrea Mairani , Niklas Wahl

In biomedical studies it is of substantial interest to develop risk prediction scores using high-dimensional data such as gene expression data for clinical endpoints that are subject to censoring. In the presence of well-established…

Applications · Statistics 2011-11-24 Qi Long , Matthias Chung , Carlos S. Moreno , Brent A. Johnson

Diffusing alpha-emitters Radiation Therapy (Alpha DaRT) enables the use of alpha particles for the treatment of solid tumors. It employs interstitial sources carrying a few uCi of Ra-224, designed to release its short-lived progeny, which…

Medical Physics · Physics 2023-11-16 Lior Epstein , Guy Heger , Arindam Roy , Israel Gannot , Itzhak Kelson , Lior Arazi

Linear models are a core component for statistical software that analyzes treatment effects. They are used in experimentation platforms where analysis is automated, as well as scientific studies where analysis is done locally and manually.…

Computation · Statistics 2019-10-15 Jeffrey Wong , Randall Lewis , Matthew Wardrop

A mathematical model of radiotherapy is proposed. The study used the classical 24 hours way of fractionation with a weekend pause. We introduce the matrices of ``radiotherapy'' and ``growth''. We developed an equation of the fraction cell…

Dynamical Systems · Mathematics 2007-05-23 K. Malachowski , M. Wolf

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 early-phase cancer clinical trials, the limited availability of data presents significant challenges in developing a framework to efficiently quantify treatment effectiveness. To address this, we propose a novel utility-based Bayesian…

Methodology · Statistics 2025-06-10 Saurabh Bhandari , Michael J. Daniels , Chenguang Wang

We conduct a theoretical study of various solution methods for the adaptive fractionation problem. The two messages of this paper are: (i) dynamic programming (DP) is a useful framework for adaptive radiation therapy, particularly adaptive…

Medical Physics · Physics 2012-02-16 Jagdish Ramakrishnan , David Craft , Thomas Bortfeld , John N. Tsitsiklis

Quantum Phase Estimation is one of the most useful quantum computing algorithms for quantum chemistry and as such, significant effort has been devoted to designing efficient implementations. In this article, we introduce TFermion, a library…

Quantum Physics · Physics 2022-07-21 Pablo A. M. Casares , Roberto Campos , M. A. Martin-Delgado

Predicting the response of cancer cells to drugs is an important problem in pharmacogenomics. Recent efforts in generation of large scale datasets profiling gene expression and drug sensitivity in cell lines have provided a unique…

Quantitative Methods · Quantitative Biology 2018-11-01 Cheng Qian , Nicholas D. Sidiropoulos , Magda Amiridi , Amin Emad
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