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Recent experiments suggest that the interplay between cells and the mechanics of their substrate gives rise to a diversity of morphological and migrational behaviors. Here, we develop a Cellular Potts Model of polarizing cells on a…

Quantifying the outcomes of cells collisions is a crucial step in building the foundations of a kinetic theory of living matter. Here, we develop a mechanical theory of such collisions by first representing individual cells as extended…

Biological Physics · Physics 2019-12-11 Pierre Recho , Thibaut Putelat , Lev Truskinovsky

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

We study a model of contraction-based cell motility inside a microchannel to investigate the regulation of cell polarization and motion by the mechanical resistance of the environment. A positive feedback between the asymmetry of the…

Biological Physics · Physics 2024-02-28 Tapas Singha , Pierre Sens

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…

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

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

The combination of protrusions and retractions in the movement of polarized cells leads to understand the effect of possible synchronisation between the two ends of the cells. This synchronisation, in turn, could lead to different dynamics…

Cell Behavior · Quantitative Biology 2021-09-21 Gissell Estrada-Rodriguez , Benoit Perthame

To understand the relationship between the chirality of individual cells and that of tissues and organisms, we have developed a chiral polarized particle model to investigate the movement of cell populations on substrates. Our model…

Biological Physics · Physics 2024-07-02 Xi Li , Bin Chen

Interactions between crawling cells, which are essential for many biological processes, can be quantified by measuring cell-cell collisions. Conventionally, experiments of cell-cell collisions are conducted on two-dimensional flat…

Biological Physics · Physics 2025-10-24 Yongtian Luo , Amrinder S. Nain , Brian A. Camley

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

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 biological tissues, it is now well-understood that mechanical cues are a powerful mechanism for pattern regulation. While much work has focused on interactions between cells and external substrates, recent experiments suggest that cell…

Soft Condensed Matter · Physics 2017-11-01 Michael Czajkowski , Dapeng Bi , M. Lisa Manning , M. Cristina Marchetti

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

Many types of mammalian cells exert active contractile forces and mechanically deform their elastic substrate, to accomplish biological functions such as cell migration. These substrate deformations provide a mechanism by which cells can…

Soft Condensed Matter · Physics 2022-02-22 Subhaya Bose , Patrick S. Noerr , Ajay Gopinathan , Arvind Gopinath , Kinjal Dasbiswas

The conditions under which biological cells switch from a static to a motile state are fundamental to the understanding of many healthy and pathological processes. In this paper, we show that even in the presence of a fully symmetric…

Biological Physics · Physics 2024-01-12 Jocelyn Étienne , Pierre Recho

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

Cell crawling crucially depends on the collective dynamics of the acto-myosin cytoskeleton. However, it remains an open question to what extent cell polarization and persistent motion depend on continuous regulatory mechanisms and…

Biological Physics · Physics 2023-08-11 Fenna Stegemerten , Karin John , Uwe Thiele

Chemotaxis and haptotaxis have been a main theme in the macroscopic study of bacterial and cellular motility. In this work we investigate the influence these processes have on the shape and motility of fast migrating cells. We note that…

Cell Behavior · Quantitative Biology 2016-12-08 Aaron Brunk , Niklas Kolbe , Nikolaos Sfakianakis

In multicellular organisms, epithelial cells form layers separating compartments responsible for different physiological functions. At the early stage of epithelial layer formation, each cell of an aggregate defines an inner and an outer…

Cell Behavior · Quantitative Biology 2010-02-09 A. Veglio , A. Gamba , M. Nicodemi , F. Bussolino , G. Serini
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