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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

In this article, we focus on determining a minimum-cost treatment program aimed at maintaining the size of a cancerous tumor at a level that allows the patient to live comfortably. At each predetermined point in a treatment horizon, the…

Optimization and Control · Mathematics 2026-03-31 Alain Billionnet

In this work, we have investigated the sensitivity of the effectiveness (TCP) of molecular radiotherapy (MRT) treatment to uncertainties of the dose rate curves that may appear when reconstructing those curves. We generated different dose…

Medical Physics · Physics 2025-02-03 Pedro Otero-Casal , Aldán Baliño , Sara Neira , Faustino Gómez , Juan Pardo-Montero

We are keenly interested in finding the limiting behaviors of total tumor size when tumor cells are subject to the periodic repetition of therapy and rest periods, called intermittent cyclic therapy. We hypothesize that each tumor cell can…

Tissues and Organs · Quantitative Biology 2023-03-15 Jaewook Joo

A dynamic treatment regime is a sequence of treatment decision rules tailored to an individual's evolving status over time. In precision medicine, much focus has been placed on finding an optimal dynamic treatment regime which, if followed…

Other Statistics · Statistics 2025-10-13 Chunyu Wang , Brian DM Tom

One of the most promising strategies to treat cancer is attacking it with viruses. Virus can kill tumor cells specifically or act as carriers that deliver normal genes into cancer cells. A model for virus therapy of cancer is investigated…

Statistical Mechanics · Physics 2007-05-23 S. C. Ferreira , M. L. Martins , M. J. Vilela

An early phase clinical trial is the first step in evaluating the effects in humans of a potential new anti-disease agent or combination of agents. Usually called "phase I" or "phase I/II" trials, these experiments typically have the…

Methodology · Statistics 2010-12-01 Peter F. Thall

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…

Treatment of cancer has rapidly evolved over time in quite dramatic ways, for example from chemotherapies, targeted therapies to immunotherapies and chimeric antigen receptor T-cells. Nonetheless, the basic design of early phase I trials in…

Applications · Statistics 2024-12-04 Lukas Andreas Widmer , Sebastian Weber , Yunnan Xu , Hans-Jochen Weber

In this study, we present a stochastic simulation model designed to explicitly incorporate cell cycle length, overcoming limitations associated with classical compartmental models. Our approach employs a delay mechanism to represent the…

Populations and Evolution · Quantitative Biology 2025-04-01 Peter Boldog , Gergely Röst

We consider a cell population structured by a positive real number, describing the number of P-glycoproteins carried by the cell. We are interested in the effect of those proteins on the growth of the population: those proteins are indeed…

Analysis of PDEs · Mathematics 2015-11-10 Pierre Magal , Gaël Raoul

Optimal treatment rules can improve health outcomes on average by assigning a treatment associated with the most desirable outcome to each individual. Due to an unknown data generation mechanism, it is appealing to use flexible models to…

Methodology · Statistics 2023-11-21 Lingjie Shen , Gijs Geleijnse , Maurits Kaptein

Phase I-II cancer clinical trial designs are intended to accelerate drug development. In cases where efficacy cannot be ascertained in a short period of time, it is common to divide the study in two stages: i) a first stage in which dose is…

Methodology · Statistics 2022-12-13 José L. Jiménez , Mourad Tighiouart

Traditionally, the major objective in phase I trials is to identify a working-dose for subsequent studies, whereas the major endpoint in phase II and III trials is treatment efficacy. The dose sought is typically referred to as the maximum…

Methodology · Statistics 2016-08-14 Mourad Tighiouart , André Rogatko

This article examines the critical role of fast Monte Carlo dose calculations in advancing proton therapy techniques, particularly in the context of increasing treatment customization and precision. As adaptive radiotherapy and other…

Medical Physics · Physics 2024-04-24 Jason Holmes , Hongying Feng , Lian Zhang , Michael Fix , Steve B. Jiang , Wei Liu

Dose-finding clinical trials in oncology aim to determine the maximum tolerated dose (MTD) of a new drug, generally defined by the proportion of patients with short-term dose-limiting toxicities (DLTs). Model-based approaches for such phase…

Methodology · Statistics 2020-12-08 Moreno Ursino , Lucie Biard , Sylvie Chevret

In parametric Bayesian designs of early phase cancer clinical trials with drug combinations exploring a discrete set of partially ordered doses, several authors claimed that there is no added value in including an interaction term to model…

Methodology · Statistics 2022-08-12 Mourad Tighiouart , José L. Jiménez , Marcio A. Diniz , André Rogatko

Cancer pathology is unique to a given individual, and developing personalized diagnostic and treatment protocols are a primary concern. Mathematical modeling and simulation is a promising approach to personalized cancer medicine. Yet, the…

Tissues and Organs · Quantitative Biology 2020-08-03 Alvaro Köhn-Luque , Xiaoran Lai , Arnoldo Frigessi

We study the dynamics and interactions between combined chemotherapy and chimeric antigen receptor (CAR-T) cells therapy and malignant gliomas (MG). MG is one of the most common primary brain tumor, with high resistance to therapy and…

Dynamical Systems · Mathematics 2025-06-04 Dmitry Sinelshchikov , Juan Belmonte-Beitia , Matteo Italia

Immunotherapy emerges as promising approach for treating cancer. Encouraging findings have validated the efficacy of immunotherapy medications in addressing tumors, resulting in prolonged survival rates and notable reductions in toxicity…

Image and Video Processing · Electrical Eng. & Systems 2023-07-28 Francesco Rundo , Concetto Spampinato , Michael Rundo
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