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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

We investigate a partial differential equation model of a cancer cell population, which is structured with respect to age and telomere length of cells. We assume a continuous telomere length structure, which is applicable to the clonal…

Analysis of PDEs · Mathematics 2019-03-06 József Z. Farkas , Glenn F. Webb

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

Expression level is known to be a strong determinant of a protein's rate of evolution. But the converse can also be true: evolutionary dynamics can affect expression levels of proteins. Having implications in both directions fosters the…

Populations and Evolution · Quantitative Biology 2021-06-09 Jacob Moran , Devon Finlay , Mikhail Tikhonov

A ubiquitous way that cells share information is by exchanging molecules. Yet, the fundamental ways that this information exchange is influenced by intracellular dynamics remain unclear. Here we use information theory to investigate a…

Biological Physics · Physics 2020-07-23 Amir Erez , Tommy A. Byrd , Michael Vennettilli , Andrew Mugler

We explain how hierarchical organization of biological systems emerges naturally during evolution, through a transition in the units of individuality. We will show how these transitions are the result of competing selective forces operating…

Populations and Evolution · Quantitative Biology 2015-06-16 Cameron Smith , Matthieu Laneuville , Nicholas Guttenberg

We introduce various models for cellulose bio-degradation by micro-organisms. Those models rely on complex chemical mechanisms, involve the structure of the cellulose chains and are allowed to depend on the phenotypical traits of the…

Dynamical Systems · Mathematics 2020-11-09 Pierre-Emmanuel Jabin , Alexey Miroshnikov , Robin Young

Competition indices are models frequently used in ecology to account for the impact of density and resource distribution on the growth of a plant population. They allow to define simple individual-based models, by integrating information…

Analysis of PDEs · Mathematics 2022-07-06 Antonin Della Noce , Paul-Henry Cournède

The observation that, through a titration mechanism, microRNAs (miRNAs) can act as mediators of effective interactions among their common targets (competing endogenous RNAs or ceRNAs) has brought forward the idea ('ceRNA hypothesis') that…

Molecular Networks · Quantitative Biology 2015-06-18 Matteo Figliuzzi , Andrea De Martino , Enzo Marinari

Explaining biodiversity is a fundamental issue in ecology. A long-standing puzzle lies in the paradox of the plankton: many species of plankton feeding on a limited variety of resources coexist, apparently flouting the competitive exclusion…

Populations and Evolution · Quantitative Biology 2025-06-18 Ju Kang , Shijie Zhang , Yiyuan Niu , Fan Zhong , Xin Wang

The entanglement of population dynamics, evolution, and adaptive radiation for species competing for resources is studied. For resource harvesting, we modify the model used in Ref. Phys. Rev. Lett. 118 048103 and introduce new resource…

Populations and Evolution · Quantitative Biology 2023-10-03 Sergei V. Koniakhin

Predictive modeling of the evolutionary dynamics of cancer is a challenge issue in computational cancer biology. In this paper, we propose a general mathematical model framework for the evolutionary dynamics of cancer with plasticity and…

Cell Behavior · Quantitative Biology 2020-01-10 Jinzhi Lei

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 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

Understanding the rules underlying organismal development is a major unsolved problem in biology. Each cell in a developing organism responds to signals in its local environment by dividing, excreting, consuming, or reorganizing, yet how…

Cell Behavior · Quantitative Biology 2025-08-20 Ramya Deshpande , Francesco Mottes , Ariana-Dalia Vlad , Michael P. Brenner , Alma dal Co

Cancer is a complex disease and thus is complicated to model. However, simple models that describe the main processes involved in tumoral dynamics, e.g., competition and mutation, can give us clues about cancer behaviour, at least…

Dynamical Systems · Mathematics 2014-11-25 V. Castillo , J. Tomas Lazaro , J. Sardanyes

Cell growth in size is a complex process coordinated by intrinsic and environmental signals. In a recent work [Tzur et al., Science, 2009, 325:167-171], size distributions in an exponentially growing population of mammalian cells were used…

Cell Behavior · Quantitative Biology 2015-06-16 Yucheng Hu , Tianqi Zhu

Fractional killing in response to drugs is a hallmark of non-genetic cellular heterogeneity. Yet how individual lineages evade drug treatment, as observed in bacteria and cancer cells, is not quantitatively understood. We analyse a…

Populations and Evolution · Quantitative Biology 2024-09-25 Francesco Puccioni , Johannes Pausch , Paul Piho , Philipp Thomas

The cellular phenotype is described by a complex network of molecular interactions. Elucidating network properties that distinguish disease from the healthy cellular state is therefore of critical importance for gaining systems-level…

Molecular Networks · Quantitative Biology 2012-11-22 James West , Ginestra Bianconi , Simone Severini , Andrew Teschendorff

We study pattern formation of skin cancers by means of numerical simulation of a binary system consisting of cancer and healthy cells. We extend the conventional Model H for macrophase separations by considering a logistic growth of cancer…

Soft Condensed Matter · Physics 2019-03-27 Takuma Hoshino , Ming-Wei Liu , Kuo-An Wu , Hsuan-Yi Chen , Tatsuaki Tsuruyama , Shigeyuki Komura
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