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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

Suspensions of swimming micro-organisms provide examples of coordinated active dynamics. That has stimulated the study of a phenomenological theory combining synchronization and polar order in active matter. Here, we consider another…

Soft Condensed Matter · Physics 2019-04-08 M. Leoni

The motion of a eukaryotic cell presents a variety of interesting and challenging problems from both a modeling and a computational perspective. The processes span many spatial scales (from molecular to tissue) as well as disparate time…

Cell Behavior · Quantitative Biology 2010-11-25 Ben Vanderlei , James J. Feng , Leah Edelstein-Keshet

We study a generic model for the polarisation and motility of self-propelled soft objects, biological cells or biomimetic systems, interacting with a viscous substrate. The active forces generated by the cell on the substrate are modelled…

Soft Condensed Matter · Physics 2015-06-23 M. Leoni , P. Sens

Motile eukaryotic cells display distinct modes of migration that often occur within the same cell type. It remains unclear, however, whether transitions between the migratory modes require changes in external conditions, or whether the…

Pattern Formation and Solitons · Physics 2025-05-29 Jack M. Hughes , Cristina Martinez-Torres , Carsten Beta , Leah Edelstein-Keshet , Arik Yochelis

Cell migration plays essential roles in development, wound healing, diseases, and in the maintenance of a complex body. Experiments in collective cell migration generally measure quantities such as cell displacement and velocity. The…

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

The movement of organisms and cells can be governed by occasional long distance runs, according to an approximate L\'evy walk. For T cells migrating through chronically-infected brain tissue, runs are further interrupted by long pauses, and…

Biological Physics · Physics 2020-03-06 Gissell Estrada-Rodriguez , Heiko Gimperlein , Kevin J. Painter , Jakub Stocek

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 migration in confining physiological environments relies on the concerted dynamics of several cellular components, including protrusions, adhesions with the environment, and the cell nucleus. However, it remains poorly understood how…

Cell movement and intercellular signaling occur simultaneously during the development of tissues, but little is known about how movement affects signaling. Previous theoretical studies have shown that faster moving cells favor…

Cell Behavior · Quantitative Biology 2012-05-09 Koichiro Uriu , Saul Ares , Andrew C. Oates , Luis G. Morelli

Experimental studies of cell motility in culture have shown that under adequate conditions these living organisms possess the ability to organize themselves into complex structures. Such structures may exhibit a synergy that greatly…

Statistical Mechanics · Physics 2021-10-27 G. Nakamura , M. Badoual , E. Fabiani , C. Deroulers

When it is polarised, a cell develops an asymmetric distribution of specific molecular markers, cytoskeleton and cell membrane shape. Polarisation can occur spontaneously or be triggered by external signals, like gradients of signalling…

Analysis of PDEs · Mathematics 2013-01-18 Vincent Calvez , Nicolas Meunier , Nicolas Muller , Raphael Voituriez

In this work we approach cell migration under a large-scale assumption, so that the system reduces to a particle in motion. Unlike classical particle models, the cell displacement results from its internal activity: the cell velocity is a…

Cell Behavior · Quantitative Biology 2018-08-02 Christèle Etchegaray , Nicolas Meunier

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

Tracking experiments in dense biological tissues reveal a diversity of sources f or local energy injection at the cell scale. The effect of cell motility has been largely studied, but much less is known abo ut the effect of the observed…

Soft Condensed Matter · Physics 2017-11-29 Elsen Tjhung , Ludovic Berthier

The collective behaviour of confluent cell sheets is strongly influenced both by polar forces, arising through cytoskeletal propulsion and by active inter-cellular forces, which are mediated by interactions across cell-cell junctions. We…

Soft Condensed Matter · Physics 2020-05-28 Guanming Zhang , Romain Mueller , Amin Doostmohammadi , Julia M. Yeomans

The stochastic trajectories of molecules in living cells, as well as the dynamics in many other complex systems, often exhibit memory in their path over long periods of time. In addition, these systems can show dynamic heterogeneities due…

Statistical Mechanics · Physics 2024-07-10 Michał Balcerek , Agnieszka Wyłomańska , Krzysztof Burnecki , Ralf Metzler , Diego Krapf

The more we learn about the cytoplasm of cells, the more we realise that the cytoplasm is not uniform but instead is highly inhomogeneous. In any inhomogeneous solution, there are concentration gradients, and particles move either up or…

Subcellular Processes · Quantitative Biology 2019-04-03 Richard P. Sear

Left-right axis specification establishes embryonic laterality through asymmetric signaling cascades originating at the cellular scale. We previously reported the presence of a directionality bias in confined pairs of endothelial (and…

Cell Behavior · Quantitative Biology 2026-03-31 Egun Im , Ghina Badih , Laetitia Kurzawa , Andreas Buttenschön , Calina Copos
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