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Related papers: Cancer Progression as a Learning Process

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There is a widening recognition that cancer cells are products of complex developmental processes. Carcinogenesis and metastasis formation are increasingly described as systems-level, network phenomena. Here we propose that malignant…

Molecular Networks · Quantitative Biology 2013-09-18 David M. Gyurko , Daniel V. Veres , Dezso Modos , Katalin Lenti , Tamas Korcsmaros , Peter Csermely

Cancer is increasingly perceived as a systems-level, network phenomenon. The major trend of malignant transformation can be described as a two-phase process, where an initial increase of network plasticity is followed by a decrease of…

Cancer is a disease of cellular regulation, often initiated by genetic mutation within cells, and leading to a heterogeneous cell population within tissues. In the competition for nutrients and growth space within the tumors the phenotype…

Populations and Evolution · Quantitative Biology 2017-08-08 András Szabó , Roeland M. H. Merks

We consider two minimal mathematical models for cancer dynamics and self-adaptation. We aim to capture the interplay between the rapid progression of cancer growth and the possibility to leverage and enhance self-adaptive defense mechanisms…

Adaptation and Self-Organizing Systems · Physics 2025-03-27 Christian Kuehn

The mitigation of stress is a key challenge for all biological systems. Conditions of unresolvable stress have been associated with a diverse array of pathologies, from cancer to post-traumatic stress disorder (PTSD). Here, I unify insights…

Cell Behavior · Quantitative Biology 2025-08-29 Jordan Strasser

As cancer advances, cells often spread from the primary tumor to other parts of the body and form metastases. This is the main cause of cancer related mortality. Here we investigate a conceptually simple model of metastasis formation where…

Populations and Evolution · Quantitative Biology 2019-12-05 Stefano Avanzini , Tibor Antal

Metastasis, the spread of cancer cells from a primary tumor to secondary location(s) in the human organism, is the ultimate cause of death for the majority of cancer patients. That is why, it is crucial to understand metastases evolution in…

Populations and Evolution · Quantitative Biology 2020-06-24 Maroussia Slavtchova-Bojkova , Kaloyan Vitanov

Recurrence and metastasis have been regarded as two of the greatest obstacles for curing cancer. Cancer stem cell (CSC) have been found. They contribute to cancer development with the distinct feature of recurrence and resistance to the…

Cell Behavior · Quantitative Biology 2018-08-20 Chong Yu , Qiong Liu , Cong Chen , Jin Wang

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

An endogenous molecular-cellular network for both normal and abnormal functions is assumed to exist. This endogenous network forms a nonlinear stochastic dynamical system, with many stable attractors in its functional landscape. Normal or…

Subcellular Processes · Quantitative Biology 2007-09-06 P. Ao , D. Galas , L. Hood , X. -M. Zhu

Tumor development is an evolutionary process in which a heterogeneous population of cells with differential growth capabilities compete for resources in order to gain a proliferative advantage. What are the minimal ingredients needed to…

Populations and Evolution · Quantitative Biology 2016-01-19 Jeffrey West , Zaki Hasnain , Jeremy Mason , Paul K. Newton

Cell competition is recognized to be instrumental to the dynamics and structure of the tumor-host interface in invasive cancers. In mild competition scenarios, the healthy tissue and cancer cells can coexist. When the competition is…

Populations and Evolution · Quantitative Biology 2022-04-19 Heyrim Cho , Doron Levy

Adaptive therapy is a recent paradigm in cancer treatment aiming at indefinite, safe containment of the disease when cure is judged unattainable. In modeling this approach, inherent limitations arise due to the structure of the vector…

Dynamical Systems · Mathematics 2025-03-20 Frederik J. Thomsen , Johan L. A. Dubbeldam

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…

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

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 investigate the population dynamics of tumor cells under therapeutic pressure. Although drug treatment initially induces a reduction in tumor burden, treatment failure frequently occurs over time due to the emergence of…

Probability · Mathematics 2025-10-02 Kevin Leder , Zicheng Wang , Xuanming Zhang

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

The fitness of somatic cells of metazoan, the ability of proliferation and survival, depends on microenvironment. In somatic evolution, a mutated cell in a tissue clonally expands abnormally because of its high fitness as normal cells in a…

Populations and Evolution · Quantitative Biology 2015-09-07 Xiang-Ping Jia , Hong Sun

Aberrantly regulated cell motility is a hallmark of cancer cells. A hybrid agent-based model has been developed to investigate the synergistic and antagonistic cell motility-impacting effects of three microenvironment variables…

Cell Behavior · Quantitative Biology 2008-06-26 L. Leon Chen , Le Zhang , Jeongah Yoon , Thomas S. Deisboeck
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