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Myeloproliferative Neoplasms (MPN) are blood cancers that appear after acquiring a driver mutation in a hematopoietic stem cell. These hematological malignancies result in the overproduction of mature blood cells and, if not treated, induce…

Quantitative Methods · Quantitative Biology 2024-09-17 Gurvan Hermange , William Vainchenker , Isabelle Plo , Paul-Henry Cournède

Cancer research has shifted from a purely gene-centric view to a more holistic understanding that recognizes the critical role of the tumour microenvironment, where mechanics and metabolism are key drivers of disease progression. However,…

Computational Engineering, Finance, and Science · Computer Science 2025-12-19 Pedro Garcia-Gomez , Paula Guerrero-Lopez , Silvia Hervas-Raluy , Jose Manuel Garcia-Aznar

We propose and analyze an optimal control problem associated with a Keller-Segel type parabolic system with chemoattraction, modeling the glioblastoma growth in a bi-dimensional bounded domain, influenced by the presence of oxygen where the…

Optimization and Control · Mathematics 2026-04-24 Juan J. Forero-Hernańdez , Francisco Guillén-González , Élder J. Villamizar-Roa

Leukaemia accounts for around 3% of all cancer types diagnosed in adults, and is the most common type of cancer in children of paediatric age. There is increasing interest in the use of mathematical models in oncology to draw inferences and…

Tissues and Organs · Quantitative Biology 2022-05-13 Salvador Chulián , Álvaro-Martínez Rubio , María Rosa , Víctor M. Pérez-García

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 present multiscale models of cancer tumor invasion with components at the molecular, cellular, and tissue levels. We provide biological justifications for the model components, present computational results from the model, and discuss…

Quantitative Methods · Quantitative Biology 2023-02-14 Bruce P. Ayati , Glenn F. Webb , Alexander R. A. Anderson

A new detailed mathematical model for dynamics of immune response to hepatitis B is proposed, which takes into account contributions from innate and adaptive immune responses, as well as cytokines. Stability analysis of different steady…

Populations and Evolution · Quantitative Biology 2018-05-16 F. Fatehi Chenar , Y. N. Kyrychko , K. B. Blyuss

In this work we analyse a PDE-ODE problem modelling the evolution of a Glioblastoma, which includes an anisotropic nonlinear diffusion term with a diffusion velocity increasing with respect to vasculature. First, we prove the existence of…

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

This paper presents a mathematical model for tumour-immune response interactions in the perspective of immunotherapy by immune checkpoint inhibitors ICIs. The model is of the nonlocal integro-differential Lotka-Volterra type, in which…

Analysis of PDEs · Mathematics 2023-09-01 Zineb Kaid , Camille Pouchol , Jean Clairambault

Radiotherapy can effectively kill malignant cells, but the doses required to cure cancer patients may inflict severe collateral damage to adjacent healthy tissues. Hyperthermia (HT) is a promising option to improve the outcome of radiation…

Brain tumours are masses of abnormal cells that can grow in an uncontrolled way in the brain. There are different types of malignant brain tumours. Gliomas are malignant brain tumours that grow from glial cells and are identified as…

The present work introduces a rigorous stochastic model, named Generalized Stochastic Microdosimetric Model (GSM2), to describe biological damage induced by ionizing radiation. Starting from microdosimetric spectra of energy deposition in…

Biological Physics · Physics 2021-01-27 F. Cordoni , M. Missiaggia , A. Attili , S. M. Welford , E. Scifoni , C. La Tessa

In this paper, we describe a dataset relating to cellular and physical conditions of patients who are operated upon to remove colorectal tumours. This data provides a unique insight into immunological status at the point of tumour removal,…

Machine Learning · Computer Science 2016-11-15 Chris Roadknight , Uwe Aickelin , John Scholefield , Lindy Durrant

Gliomas are the most common primary tumors of the central nervous system. Multimodal MRI is widely used for the preliminary screening of gliomas and plays a crucial role in auxiliary diagnosis, therapeutic efficacy, and prognostic…

Image and Video Processing · Electrical Eng. & Systems 2025-05-27 Yihao Liu , Zhihao Cui , Liming Li , Junjie You , Xinle Feng , Jianxin Wang , Xiangyu Wang , Qing Liu , Minghua Wu

Accurate prediction of cancer progression remains a challenge due to the high heterogeneity of molecular omics data across patients. While biologically informed models have improved the interpretability of these predictions, a persistent…

Machine Learning · Computer Science 2026-04-21 Koushik Howlader , Md Tauhidul Islam , Wei Le

Cancer is a term used to refer to a large set of diseases. The cancerous cells grow and divide and, as a result, they form tumours that grow in size. The immune system recognise the cancerous cells and attack them, though, it can be…

Stem cell heterogeneity is essential for the homeostasis in tissue development. This paper established a general formulation for understanding the dynamics of stem cell regeneration with cell heterogeneity and random transitions of…

Populations and Evolution · Quantitative Biology 2024-07-12 Jinzhi Lei

We develop and analyze a mathematical model of oncolytic virotherapy in the treatment of melanoma. We begin with a special, local case of the model, in which we consider the dynamics of the tumour cells in the presence of an oncolytic virus…

Dynamical Systems · Mathematics 2023-09-07 Tedi Ramaj , Xingfu Zou

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…

Computational modeling of cancer can help unveil dynamics and interactions that are hard to replicate experimentally. Thanks to the advancement in cancer databases and data analysis technologies, these models have become more robust than…

Quantitative Methods · Quantitative Biology 2023-11-07 Navid Mohammad Mirzaei , Leili Shahriyari
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