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Cancer cell populations often exhibit remarkably similar growth laws despite their heterogeneity. Explanations of universal cell population growth remain partly unresolved to this day. Here, we present a growth-law unification by…

Populations and Evolution · Quantitative Biology 2026-04-16 Gregory J. Kimmel , Sadegh Marzban , Mehdi Damaghi , Arne Traulsen , Alexander R. A. Anderson , Jeffrey West , Philipp M. Altrock

Cancer poses danger because of its unregulated growth, development of resistant subclones, and metastatic spread to vital organs. Although the major transitions in cancer development are increasingly well understood, we lack quantitative…

Populations and Evolution · Quantitative Biology 2014-08-27 Andrei R. Akhmetzhanov , Michael E. Hochberg

The topology of gene expression space for a set of 12 cancer types is studied by means of an entropy-like magnitude, which allows the characterization of the regions occupied by tumor and normal samples. The comparison indicates that the…

Tissues and Organs · Quantitative Biology 2022-05-19 Augusto Gonzalez , Frank Quintela , Dario A. Leon , Maria Luisa Bringas Vega , Pedro Valdes Sosa

An influence of a radio-frequency electric field on glioma - brain cancer development is considered. A specific task emerging here is whether this new medical technology is effective against invasive cells with a high motility, when…

Cell Behavior · Quantitative Biology 2015-06-19 A. Iomin

The aim of this paper is to discuss the role of robustness and diversity in population dynamics in particular to some properties of the multi-step from healthy tissue to fully malignant tumours. Recent evidence shows that diversity within…

Populations and Evolution · Quantitative Biology 2010-03-12 Tomas Alarcon , Henrik Jeldtoft Jensen

We consider a minimal go-or-grow model of cell invasion, whereby cells can either proliferate, following logistic growth, or move, via linear diffusion, and phenotypic switching between these two states is density-dependent. Formal analysis…

Analysis of PDEs · Mathematics 2024-04-18 Carles Falcó , Rebecca M. Crossley , Ruth E. Baker

Molecular circadian clocks, that are found in all nucleated cells of mammals, are known to dictate rhythms of approximately 24 hours (circa diem) to many physiological processes. This includes metabolism (e.g., temperature, hormonal blood…

Analysis of PDEs · Mathematics 2011-03-14 Jean Clairambault , Stephane Gaubert , Thomas Lepoutre

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

We propose a multiscale chemo-mechanical model of cancer tumour development in an epithelial tissue. The model is based on transformation of normal cells into the cancerous state triggered by a local failure of spatial synchronisation of…

Cell Behavior · Quantitative Biology 2015-12-16 D. A. Bratsun , D. V. Merkuriev , A. P. Zakharov , L. M. Pismen

A demographic Allee effect occurs when individual fitness, at low densities, increases with population density. Coupled with environmental fluctuations in demographic rates, Allee effects can have subtle effects on population persistence…

Probability · Mathematics 2014-05-08 Gregory Roth , Sebastian Schreiber

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

It is widely recognized that reciprocal interactions between cells and their microenvironment, via mechanical forces and biochemical signaling pathways, regulate cell behaviors during normal development, homeostasis and disease progression…

Biological Physics · Physics 2024-12-05 Nonthakorn Olaranont , Chaozhen Wei , John Lowengrub , Min Wu

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

Positive density-dependence occurs when individuals experience increased survivorship, growth, or reproduction with increased population densities. Mechanisms leading to these positive relationships include mate limitation, saturating…

Populations and Evolution · Quantitative Biology 2019-02-12 Sebastian J. Schreiber

We consider a diffuse interface model for tumor growth recently proposed in [Y. Chen, S.M. Wise, V.B. Shenoy, J.S. Lowengrub, A stable scheme for a nonlinear, multiphase tumor growth model with an elastic membrane, Int. J. Numer. Methods…

Analysis of PDEs · Mathematics 2015-07-29 Mimi Dai , Eduard Feireisl , Elisabetta Rocca , Giulio Schimperna , Maria Schonbek

Complex tumor-host interactions can significantly affect the growth dynamics and morphologies of progressing neoplasms. The growth of a confined solid tumor induces mechanical pressure and deformation of the surrounding microenvironment,…

Biological Physics · Physics 2012-01-05 Yang Jiao , Sal Torquato

Practically, all chemotherapeutic agents lead to drug resistance. Clinically, it is a challenge to determine whether resistance arises prior to, or as a result of, cancer therapy. Further, a number of different intracellular and…

Populations and Evolution · Quantitative Biology 2014-12-03 Jana L. Gevertz , Zahra Aminzare , Kerri-Ann Norton , Judith Perez-Velazquez , Alexandria Volkening , Katarzyna A. Rejniak

Drug resistance and metastasis - the major complications in cancer - both entail adaptation of cancer cells to stress, whether a drug or a lethal new environment. Intriguingly, these adaptive processes share similar features that cannot be…

Molecular Networks · Quantitative Biology 2021-09-28 Aseel Shomar , Omri Barak , Naama Brenner

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

Experimental evidence indicates that human brain cancer cells proliferate or migrate, yet do not display both phenotypes at the same time. Here, we present a novel computational model simulating this cellular decision-process leading up to…

Cell Behavior · Quantitative Biology 2007-05-23 Chaitanya Athale , Yuri Mansury , Thomas S. Deisboeck