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Classical models of cancer focus on tumour-intrinsic genetic aberrations and immune dynamics and often overlook how the metabolic environment of healthy tissues shapes tumour development and immune efficacy. Here, we propose that…

Tissues and Organs · Quantitative Biology 2025-11-27 Naomi Iris van den Berg , Matouš Elphick , Kevin Mulder , Omar Bouricha , Omid Sadeghi-Alavijeh , Xiao Fu , Samra Turajlic

A major goal of modern computational biology is to simulate the collective behaviour of large cell populations starting from the intricate web of molecular interactions occurring at the microscopic level. In this paper we describe a…

Biological Physics · Physics 2007-05-23 Roberto Chignola , Edoardo Milotti

Mechanics and biochemical signaling are both often deregulated in cancer, leading to cancer cell phenotypes that exhibit increased invasiveness, proliferation, and survival. The dynamics and interactions of cytoskeletal components control…

Biological Physics · Physics 2018-07-27 Fabian Spill , Chris Bakal , Michael Mak

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

In this paper, we studied phase-space analysis of a certain mathematical model of tumor growth with an immune responses and chemotherapy therapy. Mathematical modelling of this process is viewed as a potentially powerful tool in the…

Dynamical Systems · Mathematics 2018-03-15 Veli Shakhmurov , Akif Maharramov , Bunyad Shahmurzada

Mathematical oncology is a rapidly evolving interdisciplinary field that uses mathematical models to enhance our understanding of cancer dynamics, including tumor growth, metastasis, and treatment response. Tumor-immune interactions play a…

Quantitative Methods · Quantitative Biology 2025-11-05 Chenghang Li , Jinzhi Lei

Environmental and genetic mutations can transform the cells in a co-operating healthy tissue into an ecosystem of individualistic tumour cells that compete for space and resources. Various selection forces are responsible for driving the…

Tissues and Organs · Quantitative Biology 2008-10-28 David Basanta , Andreas Deutsch

In this work we propose and investigate a family of models, which admits as particular cases some well known mathematical models of tumor-immune system interaction, with the additional assumption that the influx of immune system cells may…

Tissues and Organs · Quantitative Biology 2015-06-17 Alberto d'Onofrio

In this article a generalized mathematical model describing the interactions between malignant tumour and immune system with discrete time delay incorporated into the system is considered. Time delay represents the time required to generate…

Tissues and Organs · Quantitative Biology 2015-11-05 Monika Joanna Piotrowska

Different pathogens spreading in the same host population often generate complex co-circulation dynamics because of the many possible interactions between the pathogens and the host immune system, the host life cycle, and the space…

Populations and Evolution · Quantitative Biology 2014-12-18 Chiara Poletto , Sandro Meloni , Ashleigh Van Metre , Vittoria Colizza , Yamir Moreno , Alessandro Vespignani

We present a model for the interaction dynamics of lymphocytes-tumor cells population. This model reproduces all known states for the tumor. Futherly,we develop it taking into account periodical immunotheraphy treatment with cytokines…

Mathematical Physics · Physics 2009-11-07 O. Sotolongo-Costa , L. Morales Molina , D. Rodriguez Perez , J. C. Antoranz , M. Chacon Reyes

Cytotoxic T lymphocytes eliminate infected or malignant cells, safeguarding surrounding tissues. Although experimental and systems-immunology studies have cataloged many molecular and cellular actors involved in an immune response, the…

Biological Physics · Physics 2026-03-04 Obinna A. Ukogu , Zachary Montague , Grégoire Altan-Bonnet , Armita Nourmohammad

Neoplasms are highly dependent on glucose as their substrate for energy production and are generally not able to catabolize other fuel sources such as ketones and fatty acids. Thus, removing access to glucose has the potential to starve…

Other Quantitative Biology · Quantitative Biology 2021-06-01 Adam Kapelner , Matthew Vorsanger

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

We propose a mathematical kinetic framework to investigate interactions between tumor cells and the immune system, focusing on the spatial dynamics of tumor progression and immune responses. We develop two kinetic models: one describes a…

Cell Behavior · Quantitative Biology 2026-02-24 Martina Conte , Romina Travaglini

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 acid-mediated tumor invasion hypothesis proposes that altered glucose metabolism exhibited by the vast majority of tumors leads to increased acid (H+ ion) production which subsequently facilitates tumor invasion [1-3]. The…

Tissues and Organs · Quantitative Biology 2019-06-10 Ahmed M. Fouad

The acid-mediation hypothesis, that is, the hypothesis that acid produced by tumours, as a result of aerobic glycolysis, provides a mechanism for invasion, has so far been considered as a relatively closed system. The focus has mainly been…

Cell Behavior · Quantitative Biology 2014-12-03 Andrew B. Holder , Marianito R. Rodrigo

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

Background: Tumours are diverse ecosystems with persistent heterogeneity in various cancer hallmarks like self-sufficiency of growth factor production for angiogenesis and reprogramming of energy-metabolism for aerobic glycolysis. This…

Populations and Evolution · Quantitative Biology 2016-08-04 Artem Kaznatcheev , Robert Vander Velde , Jacob G. Scott , David Basanta