English
Related papers

Related papers: Growth Laws in Cancer: Implications for Radiothera…

200 papers

In a previous paper we have introduced a phenomenological model of cell metabolism and of the cell cycle to simulate the behavior of large tumor cell populations (Chignola R and Milotti E, Phys. Biol. 2 (2005) 8-22). Here we describe a…

Biological Physics · Physics 2009-11-13 Roberto Chignola , Alessio Del Fabbro , Chiara Dalla Pellegrina , Edoardo Milotti

Breast cancer is a disease in which cells in the breast grow out of control. After surgery, chemotherapy, and other invasive treatments, hyperthermia is a suitable choice with the minimal side effects. In this paper, the treatment of breast…

In oncology, treating cancer with a beam of photons is a well established therapeutic technique, developed over 100 years, and today over 50% of cancer patients will undergo traditional X-ray radiotherapy. However, ionizing radiation…

Medical Physics · Physics 2016-02-08 Mersini Makropoulou

A distributed optimal control problem for a diffuse interface model, which physical context is that of tumour growth dynamics, is addressed. The system we deal with comprises a Cahn--Hilliard equation for the tumour fraction coupled with a…

Analysis of PDEs · Mathematics 2021-01-20 Andrea Signori

Adaptive therapy improves cancer treatment by controlling the competition between sensitive and resistant cells through treatment holidays. This study highlights the critical role of treatment-holiday thresholds in adaptive therapy for…

Other Quantitative Biology · Quantitative Biology 2025-07-15 Lanfei Sun , Haifeng Zhang , Kai Kang , Xiaoxin Wang , Leyi Zhang , Yanan Cai , Changjing Zhuge , Lei Zhang

We present a theoretical agent-based model of cell evolution under the action of cytotoxic treatments, such as radioteraphy or chemoteraphy. The major features of cell cycle and proliferation, cell damage and repair, and chemical diffusion…

Cell Behavior · Quantitative Biology 2015-09-22 Maxime Tomezak , Corinne Abbadie , Eric Lartigau , Fabrizio Cleri

Early detection of malignant lung nodules remains constrained by size and growth based screening criteria, often delaying diagnosis. We present an integrated AI system that jointly performs nodule detection and malignancy assessment…

In cancer, treatment failure and disease recurrence have been associated with small subpopulations of cancer cells with a stem-like phenotype. In this paper, we develop and investigate a phenotype-structured model of solid tumour growth in…

Cell Behavior · Quantitative Biology 2021-01-15 Giulia L. Celora , Helen M. Byrne , Christos Zois , Panos G. Kevrekidis

Resistance to chemotherapies, particularly to anticancer treatments, is an increasing medical concern. Among the many mechanisms at work in cancers, one of the most important is the selection of tumor cells expressing resistance genes or…

Analysis of PDEs · Mathematics 2012-07-05 Alexander Lorz , Tommaso Lorenzi , Michael E. Hochberg , Jean Clairambault , Benoit Perthame

In this paper we analyse a differential system related to a Glioblastoma growth. Using numerical simulations, we prove that model captures different kind of growth changing adequately the parameters of the model. Firstly, we make an…

Analysis of PDEs · Mathematics 2021-09-21 A. Fernández-Romero , F. Guillén-González , A. Suárez

Chemotherapy for cancer treatment is costly and accompanied by severe side effects, highlighting the critical need for early prediction of treatment outcomes to improve patient management and informed decision-making. Predictive models for…

A cell-molecular based evolutionary model of tumor development driven by a stochastic Moran birth-death process is developed, where each cell carries molecular information represented by a four-digit binary string, used to differentiate…

Populations and Evolution · Quantitative Biology 2016-02-09 Jeffrey West , Zaki Hasnain , Paul Macklin , Paul K. Newton

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

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…

We investigate the long-time dynamics and optimal control problem of a diffuse interface model that describes the growth of a tumor in presence of a nutrient and surrounded by host tissues. The state system consists of a Cahn-Hilliard type…

Analysis of PDEs · Mathematics 2023-07-28 Cecilia Cavaterra , Elisabetta Rocca , Hao Wu

Stochastic resonance induced by external factor is considering to investigate the complex dynamics of tumor. The surrounding environment and the treatment effects on the tumor growth are considered as additive and multiplicative noises in…

Cell Behavior · Quantitative Biology 2017-07-18 Najmeh Sadat Mirian

Motivated by the size of cell line drug sensitivity data, researchers have been developing machine learning (ML) models for predicting drug response to advance cancer treatment. As drug sensitivity studies continue generating data, a common…

Non-extensive statistical physics has allowed to generalize mathematical functions such as exponential and logarithms. The same framework is used to generalize sum and product so that the operations allow a more fluid way to work with…

Biological Physics · Physics 2009-08-19 O. Sotolongo-Grau , D. Rodriguez-Perez , J. C. Antoranz , Oscar Sotolongo-Costa

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

Recent clinical trials have shown that the adaptive drug therapy can be more efficient than a standard MTD-based policy in treatment of cancer patients. The adaptive therapy paradigm is not based on a preset schedule; instead, the doses are…

Quantitative Methods · Quantitative Biology 2020-08-06 Mark Gluzman , Jacob G. Scott , Alexander Vladimirsky