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Cancer invasion of the surrounding tissue is a multiscale process that involves not only tumour cells but also other immune cells in the environment, such as the tumour-associated macrophages (TAMs). The heterogeneity of these immune cells,…

Dynamical Systems · Mathematics 2021-03-08 Szabolcs Suveges , Raluca Eftimie , Dumitru Trucu

The interplay between tumor cells and macrophages plays a central regulatory role in cancer progression. In this study, we developed a mathematical model that incorporates tumor cells, M1 type macrophages, M2 type macrophages and an M3 type…

Populations and Evolution · Quantitative Biology 2026-03-04 Haifeng Zhang , Yipu Qu , Wuyue Yang , Chenghang Li

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 formulate the dynamical model for the anti-tumor immune response based on intercellular cytokine-mediated interactions with the interleukin-2 (IL-2) taken into account. The analysis shows that the expression level of tumor antigens on…

Cell Behavior · Quantitative Biology 2008-07-26 O. G. Isaeva , V. A. Osipov

In the tumour microenvironment, cancer cells directly interact with both the immune system and the stroma. It is firmly established that the immune system, historically believed to be a major part of the body's defence against tumour…

Tissues and Organs · Quantitative Biology 2017-09-01 R J Seager , Cynthia Hajal , Fabian Spill , Roger D Kamm , Muhammad H Zaman

Tumor-immune interactions are central to cancer progression and treatment outcomes. In this study, we present a stochastic agent-based model that integrates cellular heterogeneity, spatial cell-cell interactions, and drug resistance…

Tissues and Organs · Quantitative Biology 2026-05-19 Yuhong Zhang , Chenghang Li , Boya Wang , Jinzhi Lei

The interactions between tumor cells and the tumor microenvironment (TME) dictate therapeutic efficacy of radiation and many systemic therapies in breast cancer. However, to date, there is not a widely available method to reproducibly…

This paper investigates dynamic behaviors of the tumor-immune system perturbed by environmental noise. The model describes the response of the cytotoxic T lymphocyte (CTL) to the growth of an immunogenic tumour. The main methods are…

Probability · Mathematics 2019-02-06 Xiaoyue Li , Guoting Song , Yang Xia , Chenggui Yuan

The tumor microenvironment (TME) significantly impacts cancer prognosis due to its immune composition. While therapies for altering the immune composition, including immunotherapies, have shown exciting results for treating hematological…

Quantitative Methods · Quantitative Biology 2023-10-17 Zitong Jerry Wang , Alexander M. Xu , Aman Bhargava , Matt W. Thomson

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…

Tumor growth, which plays a central role in cancer evolution, depends on both the internal features of the cells, such as their ability for unlimited duplication, and the external conditions, e.g., supply of nutrients, as well as the…

Biological Physics · Physics 2018-06-19 Youness Azimzade , Abbas Ali Saberi , Muhammad Sahimi

Understanding how microenvironmental heterogeneity influences tumor progression is essential for advancing both cancer biology and therapeutic strategies. In this study, we develop a cellular automata (CA) model to simulate tumor growth…

Cell Behavior · Quantitative Biology 2026-01-26 Yue Deng , Mingjing Li , Jinzhi Lei

Understanding the impact of tumor biology on the composition of nearby cells often requires characterizing the impact of biologically distinct tumor regions. Biomarkers have been developed to label biologically distinct tumor regions, but…

Triple-negative breast cancer (TNBC) is an aggressive disease with high mortality and limited treatment options, due to its lack of receptors that have targeted therapies available. The tumor microenvironment (TME) plays a critical role in…

Quantitative Methods · Quantitative Biology 2026-01-21 Kyle Adams , Julia Bruner , Salma Ameziane , Ashley Brown , Mohammed Gbadamosi , Helen Moore

Spatial interactions between cancer and immune cells, as well as the recognition of tumour antigens by cells of the immune system, play a key role in the immune response against solid tumours. The existing mathematical models generally…

Cell Behavior · Quantitative Biology 2019-08-05 Fiona R Macfarlane , Mark AJ Chaplain , Tommaso Lorenzi

Although the immune response is often regarded as acting to suppress tumor growth, it is now clear that it can be both stimulatory and inhibitory. The interplay between these competing influences has complex implications for tumor…

Cell Behavior · Quantitative Biology 2013-05-17 Kathleen P. Wilkie , Philip Hahnfeldt

Multicellular tumor spheroids are an important {\it in vitro} model of the pre-vascular phase of solid tumors, for sizes well below the diagnostic limit: therefore a biophysical model of spheroids has the ability to shed light on the…

Tissues and Organs · Quantitative Biology 2015-05-20 Edoardo Milotti , Roberto Chignola

The stochastic discrete space-time model of an immune response on tumor spreading in a two-dimensional square lattice has been developed. The immunity-tumor interactions are described at the cellular level and then transferred into the…

comp-gas · Physics 2007-05-23 Margarita Voitikova

Normal life activities between cells rely crucially on the homeostasis of the cellular microenvironment, but aging and cancer will upset this balance. In this paper, we introduce the microenvironmental feedback mechanism to the growth…

Adaptation and Self-Organizing Systems · Physics 2023-05-09 De-Ming Liu , Zhi-Xi Wu , Jian-Yue Guan

The competition between cancer cells and immune system cells in inhomogeneous conditions is described at cell scale within the framework of the thermostatted kinetic theory. Cell learning is reproduced by increased cell activity during…

Cell Behavior · Quantitative Biology 2021-04-29 Léon Masurel , Carlo Bianca , Annie Lemarchand
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