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Eukaryotic cells demonstrate a wide variety of dynamic patterns of filamentous actin (F-actin) and its regulators. Some of these patterns play important roles in cell functions, such as distinct motility modes, which motivate this study. We…

Pattern Formation and Solitons · Physics 2026-04-13 Jack M. Hughes , Saar Modai , Leah Edelstein-Keshet , Arik Yochelis

In Bhattacharya et al. (Science Advances, 2020), a set of chemical reactions involved in the dynamics of actin waves in cells was studied. Both at the microscopic level, where the individual chemical reactions are directly modelled using…

Analysis of PDEs · Mathematics 2023-02-01 Christian Hamster , Peter van Heijster

Actin filaments, crosslinkers and myosin molecular motors form contractile networks. For instance, the cell cortex is a thin network below the cell membrane ; contraction of the cell cortex allows cells to round up during cell division.…

Inspired by recent experimental observation of patterning at the membrane of a living cell, we propose a generic model for the dynamics of a fluctuating interface driven by particle-like inclusions which stimulate its growth. We find that…

Soft Condensed Matter · Physics 2019-07-25 F. Cagnetta , M. R. Evans , D. Marenduzzo

Actin networks in certain single-celled organisms exhibit a complex pattern-forming dynamics that starts with the appearance of static spots of actin on the cell cortex. Spots soon become mobile, executing persistent random walks, and…

Subcellular Processes · Quantitative Biology 2013-05-29 Stephen Whitelam , Till Bretschneider , Nigel J. Burroughs

Excitable pulses are among the most widespread dynamical patterns that occur in many different systems, ranging from biological cells to chemical reactions and ecological populations. Traditionally, the mutual annihilation of two colliding…

Pattern Formation and Solitons · Physics 2020-02-26 Arik Yochelis , Carsten Beta , Nir S. Gov

Flows over remarkably long distances are crucial to the functioning of many organisms, across all kingdoms of life. Coordinated flows are fundamental to power deformations, required for migration or development, or to spread resources and…

Biological Physics · Physics 2018-10-19 Jean-Daniel Julien , Karen Alim

The cytoskeleton protein actin assembles into large bundles when supporting stresses in the cell, but grows into a fine branched network to induce cell motion. Such self-organization processes are studied in artificial networks of…

Soft Condensed Matter · Physics 2018-06-13 Adar Sonn-Segev , Anne Bernheim-Groswasser , Yael Roichman

We present a model for the actin contractile ring of adherent animal cells. The model suggests that the actin concentration within the ring and consequently the power that the ring exerts both increase during contraction. We demonstrate the…

Biological Physics · Physics 2010-08-06 D. Biron , E. Alvarez-Lacalle , Tsvi Tlusty , Elisha Moses

Cell spreading is investigated at various scales in order to understand motility of living cells which is essential for a range of physiological activities in higher organisms as well as in microbes. At a microscopic scale, it has been seen…

Cell Behavior · Quantitative Biology 2009-11-13 A. Bhattacharyay

The polymerization of actin via branching at a cell membrane containing nucleation-promoting factors is simulated using a stochastic-growth methodology. The polymerized-actin distribution displays three types of behavior: a) traveling…

Biological Physics · Physics 2015-05-19 Anders E. Carlsson

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

Developing tissues need to pattern themselves in space and time. A prevalent mechanism to achieve this are pulsatile active stresses generated by the actin cytoskeleton. Active gel theory is a powerful tool to model the dynamics of…

Biological Physics · Physics 2023-02-21 Eloy Merlijn de Kinkelder , Elisabeth Fischer-Friedrich , Sebastian Aland

Essential life processes take place across multiple space and time scales in living organisms but understanding their mechanistic interactions remains an ongoing challenge. Advanced multiscale modeling techniques are providing new…

Molecular Networks · Quantitative Biology 2025-04-08 Achal Mahajan , Erik J. Navarro , William Poole , Carlos F Lopez

Substrate-based cell motility is essential for fundamental biological processes, such as tissue growth, wound healing and immune response. Even if a comprehensive understanding of this motility mode remains elusive, progress has been…

Cell Behavior · Quantitative Biology 2016-05-23 Wieland Marth , Axel Voigt

The actin cortex is a thin layer of actin, myosin, and actin binding proteins that underlies the membrane of most animal cells. It is highly dynamic and can undergo remodelling on time-scales of tens of seconds thanks to protein turnover…

Cell Behavior · Quantitative Biology 2020-06-24 Manasi Kelkar , Pierre Bohec , Guillaume Charras

The polarization and motility of eukaryotic cells depends on assembly and contraction of the actin cytoskeleton and its regulation by proteins called GTPases. The activity of GTPases causes assembly of filamentous actin (by GTPases Cdc42,…

Cell Behavior · Quantitative Biology 2021-10-18 Yue Liu , Elisabeth G. Rens , Leah Edelstein-Keshet

Growth patterns generated by filamentous organisms (e.g. actinomycetes and fungi) involve spatial and temporal dynamics at different length scales. Several mathematical models have been proposed in the last thirty years to address these…

Populations and Evolution · Quantitative Biology 2007-05-23 Michele Bezzi , Andrea Ciliberto

Intracellular protein patterns govern essential cellular functions by dynamically redistributing proteins between membrane-bound and cytosolic states, conserving their total numbers. This review presents a theoretical framework for…

Biological Physics · Physics 2025-12-16 Erwin Frey , Henrik Weyer

We investigate if known extrinsic and intrinsic factors fully account for the complex features observed in recordings of human activity as measured from forearm motion in subjects undergoing their regular daily routine. We demonstrate that…

Biological Physics · Physics 2009-11-10 Kun Hu , Plamen Ch. Ivanov , Zhi Chen , Michael F. Hilton , H. Eugene Stanley , Steven A. Shea
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