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Background: Radiotherapy outcomes are usually predicted using the Linear Quadratic model. However, this model does not integrate complex features of tumor growth, in particular cell cycle regulation. Methods: In this paper, we propose a…

Tissues and Organs · Quantitative Biology 2007-05-23 Benjamin Ribba , Thierry Colin , Santiago Schnell

This study presents a mathematical model that captures the interactions among tumor cells, healthy cells, and immune cells in a tumor-bearing host, with a specific focus on breast cancer. Incorporating the concept of delay, the model…

Quantitative Methods · Quantitative Biology 2026-03-19 Fatemeh Ansarizadeh , Tonghua Zhang

We derive a Cahn-Hilliard-Darcy model to describe multiphase tumour growth taking interactions with multiple chemical species into account as well as the simultaneous occurrence of proliferating, quiescent and necrotic regions. Via a…

Analysis of PDEs · Mathematics 2019-11-01 Harald Garcke , Kei Fong Lam , Robert Nürnberg , Emanuel Sitka

The multilayer multiconfiguration time-dependent Hartree method is employed to study vibrationally coupled charge transport in models of single molecule junctions. To increase the efficiency of the simulation method, a representation of the…

Mesoscale and Nanoscale Physics · Physics 2013-02-12 Haobin Wang , Michael Thoss

Thermal diffusivity measurements of samples transmitting thermal radiation require adjustments to the data treatment procedures in laser flash analysis. Conventionally, an unconstrained diathermic model is used. Current results show that…

Computational Engineering, Finance, and Science · Computer Science 2020-11-06 Artem Lunev , Vadim Zborovskii , Teymur Aliev

We report a model for hyperthermia therapies based on heat diffusion in a biological tissue containing a topological defect. Biological tissues behave like active liquid crystals with the presence of topological defects which are likely to…

Statistical Mechanics · Physics 2024-10-02 Andy Manapany , Loriane Didier , Leïla Moueddene , Bertrand Berche , Sébastien Fumeron

Purpose: Tumor-associated vasculature differs from healthy blood vessels by its chaotic architecture and twistedness, which promotes treatment resistance. Measurable differences in these attributes may help stratify patients by likely…

Purpose: Radiotherapy commonly relies on CT, but there is growing interest in using hybrid PET/MR. Therefore, dedicated hardware setups have been proposed for PET/MR systems which enable imaging in radiotherapy treatment position. These…

Medical Physics · Physics 2024-11-14 R. M. Winter , O. Engelsen , O. J. Bratting , N. Brekke , J. Sæterstøl , O. Sæther , K. R. Redalen

We propose here a multiscale model for study the effect of combined therapies on glioma spread in the brain under the influence of vascularization. The model accounts for the interplay between the different components of the neoplasm and…

Cell Behavior · Quantitative Biology 2026-03-10 Martina Conte , Yvonne Dzierma , Sven Knobe , Christina Surulescu

We present a model of cosmic ray heating of clusters' cores that reproduces the observed temperature distribution in clusters by using an energy balance condition in which the emitted X-ray energy is supplied by the hadronic cosmic rays,…

Astrophysics · Physics 2009-11-13 S. Colafrancesco , P. Marchegiani

Microwave hyperthermia aims at selectively heating cancer cells to a supra-physiological temperature. For non-superficial tumors, this can be achieved by means of an antenna array equipped with a proper cooling system (the water bolus) to…

Computational Engineering, Finance, and Science · Computer Science 2020-12-15 Rossella Gaffoglio , Marco Righero , Giorgio Giordanengo , Marcello Zucchi , Giuseppe Vecchi

In this work we investigate a mathematical model describing tumour growth under a treatment by chemotherapy that incorporates time-delay related to the conversion from resting to hunting cells. We study the model using values for the…

Tissues and Organs · Quantitative Biology 2013-12-09 F. S. Borges , K. C. Iarosz , H. P. Ren , A. M. Batista , M. S. Baptista , R. L. Viana , S. R. Lopes , C. Grebogi

Within the framework of a multi-phase transport model, we study the equation of state and pressure anisotropy of the hot dense matter produced in central relativistic heavy ion collisions. Both are found to depend on the hadronization…

Nuclear Theory · Physics 2008-04-29 Bin Zhang , Lie-Wen Chen , Che Ming Ko

Accurate modeling of charge transport and both thermal and luminescent radiation is crucial to the understanding and design of radiative thermal energy converters. Charge carrier dynamics in semiconductors are well-described by the…

Mesoscale and Nanoscale Physics · Physics 2021-07-13 William A. Callahan , Dudong Feng , Zhuomin M. Zhang , Eric S. Toberer , Andrew J. Ferguson , Eric J. Tervo

We introduce a nonisothermal phase-field system of Caginalp type that describes tumor growth under hyperthermia. The model couples a possibly viscous Cahn-Hilliard equation, governing the evolution of the healthy and tumor phases, with an…

Analysis of PDEs · Mathematics 2025-10-13 Giulia Cavalleri , Pierluigi Colli , Elisabetta Rocca

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…

High Intensity Focused Ultrasound (HIFU) is a promising therapy for thermal ablation and hyperthermia, characterised by it noninvasiveness, high penetration depth. Effective HIFU thermo-therapy requires the ability to accurately predict…

Medical Physics · Physics 2020-07-14 Gajendra Singh , Anup Paul , Himanshu Shekhar , Abhijit Paul

A scattering model is developed for ultracold molecular collisions, which allows inelastic processes, chemical reactions, and complex formation to be treated in a unified way. All these scattering processes and various combinations of them…

Atomic Physics · Physics 2020-09-23 James F. E. Croft , John L. Bohn , Goulven Quéméner

In this study, we conduct a study on magnetic hyperthermia treatment when a vessel is located near the tumor. The holistic framework is established to solve the process of tumor treatment. The interstitial tissue fluid, MNP distribution,…

The correlated-k method is frequently used to speed up radiation calculations in both one-dimensional and three-dimensional atmosphere models. An inherent difficulty with this method is how to treat overlapping absorption, i.e. absorption…

Earth and Planetary Astrophysics · Physics 2017-02-15 David S. Amundsen , Pascal Tremblin , James Manners , Isabelle Baraffe , Nathan J. Mayne