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Advancements in digital imaging technologies have sparked increased interest in using multiplexed immunofluorescence (mIF) images to visualise and identify the interactions between specific immunophenotypes with the tumour microenvironment…

Image and Video Processing · Electrical Eng. & Systems 2024-07-01 Piumi Sandarenu , Julia Chen , Iveta Slapetova , Lois Browne , Peter H. Graham , Alexander Swarbrick , Ewan K. A. Millar , Yang Song , Erik Meijering

Most recently, the pathology diagnosis of cancer is shifting to integrating molecular makers with histology features. It is a urgent need for digital pathology methods to effectively integrate molecular markers with histology, which could…

Image and Video Processing · Electrical Eng. & Systems 2023-06-28 Xiaofei Wang , Stephen Price , Chao Li

Spatial agent-based models are increasingly used to investigate the evolution of solid tumours subject to localised cell-cell interactions and microenvironmental heterogeneity. Here we present a non-technical step by step guide to…

Quantitative Methods · Quantitative Biology 2023-11-08 Blair Colyer , Maciej Bak , David Basanta , Robert Noble

Intra-tumour phenotypic heterogeneity limits accuracy of clinical diagnostics and hampers the efficiency of anti-cancer therapies. Dealing with this cellular heterogeneity requires adequate understanding of its sources, which is extremely…

We propose a diffuse interface model to describe tumor as a multicomponent deformable porous medium. We include mechanical effects in the model by coupling the mass balance equations for the tumor species and the nutrient dynamics to a…

Analysis of PDEs · Mathematics 2021-09-23 Pavel Krejci , Elisabetta Rocca , Juergen Sprekels

Tumor microenvironment has complex effects on tumorigenesis and metastasis. However, there is still a lack of comprehensive understanding of the relationship among molecular and cellular characteristics in tumor microenvironment, clinical…

The tumor microenvironment (TME) has emerged as a promising source of prognostic biomarkers. To fully leverage its potential, analysis methods must capture complex interactions between different cell types. We propose HiGINE -- a…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Olle Edgren Schüllerqvist , Jens Baumann , Joakim Lindblad , Love Nordling , Artur Mezheyeuski , Patrick Micke , Nataša Sladoje

Formulating tumor models that predict growth under therapy is vital for improving patient-specific treatment plans. In this context, we present our recent work on simulating non-small-scale cell lung cancer (NSCLC) in a simple,…

The transition from the epithelial to mesenchymal phenotype and its reverse (from mesenchymal to epithelial) are crucial processes necessary for the progression and spread of cancer. In this paper, we investigate how phenotypic switching at…

Tissues and Organs · Quantitative Biology 2023-05-25 Zuzanna Szymańska , Mirosław Lachowicz , Nikolaos Sfakianakis , Mark A. J. Chaplain

Known as one of the hallmarks of cancer [30], cancer cell invasion of human body tissue is a complicated spatio-temporal multiscale process which enables a localised solid tumour to transform into a systemic, metastatic and fatal disease.…

Dynamical Systems · Mathematics 2016-03-25 Lu Peng , Dumitru Trucu , Ping Lin , Alastair Thompson , Mark A. J. Chaplain

Recent advances in cancer research largely rely on new developments in microscopic or molecular profiling techniques offering high level of detail with respect to either spatial or molecular features, but usually not both. Here, we present…

In this paper, we present a probabilistic analysis of a dynamical particle model for the self-adaptive immune response to cancer, as proposed by the first author in a previous work. The model is motivated by the interplay between immune…

Probability · Mathematics 2025-08-06 Christian Kuehn , Quirin Vogel

The exploration of cellular heterogeneity within the tumor microenvironment (TME) via single-cell RNA sequencing (scRNA-seq) is essential for understanding cancer progression and response to therapy. Current scRNA-seq approaches, however,…

Genomics · Quantitative Biology 2025-02-06 Yu-An Huang , Yue-Chao Li , Hai-Ru You , Jie Pan , Xiyue Cao , Xinyuan Li , Zhi-An Huang , Zhu-Hong You

We study a spatially inhomogeneous model of cancer growth based on Michaelis--Menten kinetics, subjected to additive Gaussian noise and multiplicative dichotomous noise. In presence of the latter, we can observe a transition between two…

Cell Behavior · Quantitative Biology 2007-05-23 Anna Ochab-Marcinek

Breast cancer is one of the most challenging global health problems among women. This study investigates the intricate breast tumor microenvironment (TME) dynamics utilizing data from Mammary-specific Polyomavirus Middle T Antigen…

Quantitative Methods · Quantitative Biology 2024-04-11 Navid Mohammad Mirzaei , Panayotis G. Kevrekidis , Leili Shahriyari

We study a non-local variant of a diffuse interface model proposed by Hawkins--Darrud et al. (2012) for tumour growth in the presence of a chemical species acting as nutrient. The system consists of a Cahn--Hilliard equation coupled to a…

Analysis of PDEs · Mathematics 2017-03-13 Sergio Frigeri , Kei Fong Lam , Elisabetta Rocca

Intra-tumour heterogeneity (ITH) has a strong impact on the efficacy of the immune response against solid tumours. The number of sub-populations of cancer cells expressing different antigens and the percentage of immunogenic cells (i.e.…

Cell Behavior · Quantitative Biology 2021-12-08 Emma Leschiera , Tommaso Lorenzi , Shensi Shen , Luis Almeida , Chloe Audebert

Tumor-immune interactions are shaped by both antigenic heterogeneity and stochastic perturbations in the tumor microenvironment, yet the mathematical mechanisms underlying immune phase transitions remain poorly understood. We propose a…

Populations and Evolution · Quantitative Biology 2025-09-16 Mengfan Tan , Shaoqing Chen , Chunjin Wei , Da Zhou

The interactions between tumor cells and the immune system play a crucial role in cancer evolution. In this study, we explore how these interactions influence cancer progression by modeling the relationships among naive T cells, effector T…

Tissues and Organs · Quantitative Biology 2025-03-19 Haifeng Zhang , Changjing Zhuge , Jinzhi Lei

We have extended our previously developed 3D multi-scale agent-based brain tumor model to simulate cancer heterogeneity and to analyze its impact across the scales of interest. While our algorithm continues to employ an epidermal growth…

Tissues and Organs · Quantitative Biology 2010-03-23 Le Zhang , Costas G. Strouthos , Zhihui Wang , Thomas S. Deisboeck