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The actin cortex of an animal cell is a thin polymeric layer attached to the inner side of the plasma membrane. It plays a key role in shape regulation and pattern formation on the cellular and tissue scale and, in particular, generates the…

Biological Physics · Physics 2022-08-24 M. Bonati , L. D. Wittwer , S. Aland , E. Fischer-Friedrich

We present a novel mathematical model of heterogeneous cell proliferation where the total population consists of a subpopulation of slow-proliferating cells and a subpopulation of fast-proliferating cells. The model incorporates two…

Cell Behavior · Quantitative Biology 2021-11-04 Sean T. Vittadello , Scott W. McCue , Gency Gunasingh , Nikolas K. Haass , Matthew J. Simpson

Plant-soil feedback is recognized as a causal mechanism for the emergence of vegetation patterns of the same species especially when water is not a limiting resource (e.g. humid environments). Nevertheless, in the field, plants rarely grow…

Populations and Evolution · Quantitative Biology 2026-04-10 Addolorata Marasco , Francesco Giannino , Annalisa Iuorio

Advances in synthetic biology allow us to engineer bacterial collectives with pre-specified characteristics. However, the behavior of these collectives is difficult to understand, as cellular growth and division as well as extra-cellular…

Cell Behavior · Quantitative Biology 2017-09-13 James J. Winkle , Oleg Igoshin , Matthew R. Bennett , Krešimir Josić , William Ott

Mounting evidence shows that oscillatory activity is widespread in cell signaling. Here we review some of this recent evidence, focusing on both the molecular mechanisms that potentially underlie such dynamical behavior, and the potential…

Cell Behavior · Quantitative Biology 2022-04-15 Pablo Casani-Galdon , Jordi Garcia-Ojalvo

Segregation of different cell types is a crucial process for the pattern formation in tissues, in particular during embryogenesis. Since the involved cell interactions are complex and difficult to measure individually in experiments,…

Cell Behavior · Quantitative Biology 2022-09-21 Florian Franke , Sebatian Aland , Hans-Joachim Böhme , Anja Voss-Böhme , Steffen Lange

Coordination of cytoplasmic flows on large scales in space and time are at the root of many cellular processes, including growth, migration or division. These flows are driven by organized contractions of the actomyosin cortex. In order to…

Adaptation and Self-Organizing Systems · Physics 2022-07-29 Busson Valentin , Saiseau Raphaël , Durand Marc

Eukaryotic cells and intracellular pathogens such as bacteria or viruses utilize the actin polymerization machinery to propel themselves forward. Thereby, the onset of motion and choice of direction may be the result of a spontaneous…

Soft Condensed Matter · Physics 2009-09-04 Karin John , Denis Caillerie , Philippe Peyla , Mourad Ismail , Annie Raoult , Jacques Prost

Cell polarization is a critical process that separates molecular species into two distinct regions in prokaryotic and eukaryotic cells, guiding biological processes such as cell division and cell differentiation. Although several underlying…

Molecular Networks · Quantitative Biology 2025-01-28 Yixuan Chen , Guoye Guan , Lei-Han Tang , Chao Tang

The applicability of computational and dynamical systems models to organisms is scrutinized, using examples from developmental biology and cognition. Developmental morphogenesis is dependent on the inherent material properties of developing…

Neurons and Cognition · Quantitative Biology 2023-10-24 Stuart A. Newman

Contraction of the cytokinetic ring during cell division leads to physical partitioning of a eukaryotic cell into two daughter cells. This involves flows of actin filaments and myosin motors in the growing membrane interface at the…

Biological Physics · Physics 2022-02-21 Mainak Chatterjee , Arkya Chatterjee , Amitabha Nandi , Anirban Sain

Partial differential equations are a convenient way to describe reaction- advection-diffusion processes of signalling models. If only one cell type is present, and tissue dynamics can be neglected, the equations can be solved directly.…

Quantitative Methods · Quantitative Biology 2015-09-29 Simon Tanaka

We investigate morphologies of proliferating cellular tissues using a newly developed numerical simulation model for mechanical cell division and migration in 2D. The model is applied to a bimodal mixture consisting of stiff cells with a…

Soft Condensed Matter · Physics 2021-05-26 Pranav Madhikar , Jan Åström , Björn Baumeier , Mikko Karttunen

Cell-based, mathematical modeling of collective cell behavior has become a prominent tool in developmental biology. Cell-based models represent individual cells as single particles or as sets of interconnected particles, and predict the…

Cell Behavior · Quantitative Biology 2019-03-12 Henri B. Wolff , Lance A. Davidson , Roeland M. H. Merks

The symmetry breaking of the actin network from radial to longitudinal symmetry has been identified as the major mechanism for keratocytes (fish cells) motility on solid substrate. For strong friction coefficient, the two dimensional actin…

Soft Condensed Matter · Physics 2011-02-16 M. Ben Amar , O. V. Manyuhina , G. Napoli

The crawling motility of many eukaryotic cells is driven by filamentous actin (F-actin), and regulated by a network of signaling proteins and lipids (including small GTPases). The tangle of positive and negative feedback loops gives rise to…

Cell Behavior · Quantitative Biology 2026-02-10 Jack M. Hughes , Jupiter Algorta , Leah Edelstein-Keshet

We show that when cells communicate by contact-mediated interactions, heterogeneity in cell shapes and sizes leads to qualitatively distinct collective behavior in the tissue. For inter-cellular coupling that implements lateral inhibition,…

Tissues and Organs · Quantitative Biology 2023-01-10 Chandrashekar Kuyyamudi , Shakti N. Menon , Sitabhra Sinha

Cells crawling through tissues migrate inside a complex fibrous environment called the extracellular matrix (ECM), which provides signals regulating motility. Here we investigate one such well-known pathway, involving mutually antagonistic…

Cell Behavior · Quantitative Biology 2017-07-05 William R. Holmes , JinSeok Park , Andre Levchenko , Leah Edelstein-Keshet

A cell is polarised when it has developed a main axis of organisation through the reorganisation of its cytosqueleton and its intracellular organelles. Polarisation can occur spontaneously or be triggered by external signals, like gradients…

Analysis of PDEs · Mathematics 2013-01-17 Vincent Calvez , Nicolas Meunier , Nicolas Muller , Raphael Voituriez

Building a virtual cell capable of accurately simulating cellular behaviors in silico has long been a dream in computational biology. We introduce CellFlux, an image-generative model that simulates cellular morphology changes induced by…