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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

The small GTPases Rac and Rho are known to regulate eukaryotic cell shape, promoting front protrusion (Rac) or rear retraction (Rho) of the cell edge. Such cell deformation changes the contact and adhesion of cell to the extracellular…

Cell Behavior · Quantitative Biology 2021-12-15 Elisabeth G. Rens , Leah Edelstein-Keshet

We study a minimal model of a crawling eukaryotic cell with a chemical polarity controlled by a reaction-diffusion mechanism describing Rho GTPase dynamics. The size, shape, and speed of the cell emerge from the combination of the chemical…

Biological Physics · Physics 2017-01-11 Brian A. Camley , Yanxiang Zhao , Bo Li , Herbert Levine , Wouter-Jan Rappel

Some dividing cells sense their shape by becoming polarized along their long axis. Cell polarity is controlled in part by polarity proteins like Rho GTPases cycling between active membrane-bound forms and inactive cytosolic forms, modeled…

Biological Physics · Physics 2022-09-13 Amit R. Singh , Travis Leadbetter , Brian A. Camley

During migration cells exhibit a rich variety of seemingly random migration patterns, which makes unraveling the underlying mechanisms that control cell migration a daunting challenge. For efficient migration cells require a mechanism for…

Biological Physics · Physics 2020-08-19 Jonathan E. Ron , Pascale Monzo , Nils Gauthier , Raphael Voituriez , Nir S. Gov

When cells collide, they often exhibit "contact inhibition of locomotion" (CIL), a behavior in which cells repolarize and migrate away from the site of contact. Experimental CIL outcomes are highly variable - why? Here, we develop a minimal…

Cell Behavior · Quantitative Biology 2026-04-22 Mariia Kryvoruchko , Brian A. Camley

Various molecules exclusively accumulate at the front or back of migrating eukaryotic cells in response to a shallow gradient of extracellular signals. Directional sensing and signal amplification highlight the essential properties in the…

Cell Behavior · Quantitative Biology 2015-06-26 Mikiya Otsuji , Shuji Ishihara , Carl Co , Kozo Kaibuchi , Atsushi Mochizuki , Shinya Kuroda

During cell migration, cells become polarized, change their shape, and move in response to various internal and external cues. Cell polarization is defined through the spatio-temporal organization of molecules such as PI3K or small GTPases,…

Biological Physics · Physics 2016-07-07 Fabian Spill , Vivi Andasari , Michael Mak , Roger D. Kamm , Muhammad H. Zaman

The motility of a fish keratocyte on a flat substrate exhibits two distinct regimes: the non-migrating and the migrating one. In both configurations the shape is fixed in time and, when the cell is moving, the velocity is constant in…

Cell Behavior · Quantitative Biology 2016-06-29 Davide Ambrosi , Anna Zanzottera

Many cellular processes require a polarization axis which generally initially emerges as an inhomogeneous distribution of molecular markers in the cell. We present a simple analytical model of a general mechanism of cell polarization taking…

Cell Behavior · Quantitative Biology 2009-10-21 Rhoda J. Hawkins , Olivier Benichou , Matthieu Piel , Raphael Voituriez

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 describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is initiated at one end of the domain, moves…

Cell Behavior · Quantitative Biology 2010-12-03 Yoichiro Mori , Alexandra Jilkine , Leah Edelstein-Keshet

Migrating cells possess intracellular gradients of Rho GTPases, but it is unknown whether these shallow gradients themselves can induce motility. Here we describe a new method to present cells with induced linear gradients of active,…

Cell polarization and directional cell migration can display random, persistent and oscillatory dynamic patterns. However, it is not clear if these polarity patterns can be explained by the same underlying regulatory mechanism. Here, we…

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

Angiogenesis recapitulates the growth of blood vessels that progressively expand and remodel into a highly organized and stereotyped vascular network. During adulthood, endothelial cells that formed the vascular wall retain their plasticity…

Cell Behavior · Quantitative Biology 2009-09-07 Eva Maria Galan Moya , Armelle Le Guelte , Julie Gavard

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

Cell migration is closely linked to cell shape, yet cell size is often assumed to remain constant. This assumption is challenged by recent experiments showing that cells undergo volume loss during spreading and swelling upon activation,…

Biological Physics · Physics 2025-05-28 Jonathan E. Ron , Ram M. Adar

How the cells break symmetry and organize their edge activity to move directionally is a fun- damental question in cell biology. Physical models of cell motility commonly rely on gradients of regulatory factors and/or feedback from the…

Cell polarity and movement are fundamental to many biological functions. Experimental and theoretically studies have indicated that interactions of certain proteins lead to the cell polarization which plays a key role in controlling the…

Dynamical Systems · Mathematics 2022-08-12 Shuang Liu , Li-Tien Cheng , Bo Li
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