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Many types of motile cells perform durotaxis, namely, directed migration following gradients of substrate stiffness. Recent experiments have revealed that cell monolayers can migrate toward stiffer regions even when individual cells do not…

Biological Physics · Physics 2022-01-26 Irina Pi-Jaumà , Ricard Alert , Jaume Casademunt

Cell migration is important in many biological processes, including embryonic development, cancer metastasis, and wound healing. In these tissues, a cell's motion is often strongly constrained by its neighbors, leading to glassy dynamics.…

Biological Physics · Physics 2016-01-20 Dapeng Bi , J. H. Lopez , J. M. Schwarz , M. Lisa Manning

Complex tissue flows in epithelia are driven by intra- and inter-cellular processes that generate, maintain, and coordinate mechanical forces. There has been growing evidence that cell shape anisotropy, manifested as nematic order, plays an…

Soft Condensed Matter · Physics 2024-12-17 Jan Rozman , Chaithanya K. V. S. , Julia M. Yeomans , Rastko Sknepnek

We consider a cellular monolayer, described using a vertex-based model, for which cells form a spatially disordered array of convex polygons that tile the plane. Equilibrium cell configurations are assumed to minimize a global energy…

Cell Behavior · Quantitative Biology 2018-05-30 Alexander Nestor-Bergmann , Emma Johns , Sarah Woolner , Oliver E. Jensen

The shapes of epithelial tissues result from a complex interplay of contractile forces in the cytoskeleta of the cells in the tissue, and adhesion forces between them. A host of discrete, cell-based models describe these forces by assigning…

Soft Condensed Matter · Physics 2019-02-27 Pierra A. Haas , Raymond E. Goldstein

Active nematic models explain the topological defects and flow patterns observed in epithelial tissues, but the nature of active stress-whether it is extensile or contractile, a key parameter of the theory-is not well established…

Soft Condensed Matter · Physics 2025-11-11 Jan Rozman , Sumesh P. Thampi , Julia M. Yeomans

We present a hydrodynamic model of spreading epithelial monolayers as polar viscous fluids, with active contractility and traction on the substrate. The combination of both active forces generate an instability that leads to nonlinear…

Soft Condensed Matter · Physics 2017-05-02 C. Blanch-Mercader , J. Casademunt

Epithelial tissues play a fundamental role in various morphogenetic events during development and early embryogenesis. Although epithelial monolayers are often modeled as two-dimensional (2D) elastic surfaces, they distinguish themselves…

Soft Condensed Matter · Physics 2020-06-15 Benjamin Loewe , Francesco Serafin , Suraj Shankar , Mark J. Bowick , M. Cristina Marchetti

With exquisite precision and reproducibility, cells orchestrate the cooperative action of thousands of nanometer-sized molecular motors to carry out mechanical tasks at much larger length scales, such as cell motility, division and…

Soft Condensed Matter · Physics 2013-01-08 Tim Sanchez , Daniel T. N. Chen , Stephen J. DeCamp , Michael Heymann , Zvonimir Dogic

Although understanding the collective migration of cells, such as that seen in epithelial sheets, is essential for understanding diseases such as metastatic cancer, this motion is not yet as well characterized as individual cell migration.…

Cells not only can be motile by crawling but are also capable of non-motility active motions like periodic contraction or pulsation. In this work, based on a Voronoi cell model, we show how this non-motility activity affects the structure,…

Soft Condensed Matter · Physics 2025-02-11 Zhu-Qin Li , Qun-Li Lei , Yu-qiang Ma

We formulate an active-gel theory for multicellular migration in the extra-cellular matrix (ECM). The cells are modeled as an active, polar solvent, and the ECM as a viscoelastic solid. Our theory enables to analyze the dynamic reciprocity…

Biological Physics · Physics 2022-07-13 Ram M. Adar , Jean-François Joanny

Coordinated cellular movements are key processes in tissue morphogenesis. Using a cell-based modeling approach we study the dynamics of epithelial layers lining surfaces with constant and varying curvature. We demonstrate that extrinsic…

Soft Condensed Matter · Physics 2024-03-21 Lea Happel , Axel Voigt

In vivo and in vitro cells rely on the support of an underlying biocompatible substrate, such as the extracellular matrix or a culture substrate, to spread and proliferate. The mechanical and chemical properties of such structures play a…

Soft Condensed Matter · Physics 2021-11-04 Diogo E. P. Pinto , Margarida M. Telo da Gama , Nuno A. M. Araujo

The maintenance of tissue and organ structures during dynamic homeostasis is often not well understood. In order for a system to be stable, cell renewal, cell migration and cell death must be finely balanced. Moreover, a tissue's shape must…

Tissues and Organs · Quantitative Biology 2022-05-11 Domenic P. J. Germano , Stuart T. Johnston , Edmund J. Crampin , James M. Osborne

A continuum model of epithelial tissue mechanics was formulated using cellular-level mechanical ingredients and cell morphogenetic processes, including cellular shape changes and cellular rearrangements. This model can include finite…

Tissues and Organs · Quantitative Biology 2017-09-06 Shuji Ishihara , Philippe Marcq , Kaoru Sugimura

Dense monolayers of living cells display intriguing relaxation dynamics, reminiscent of soft and glassy materials close to the jamming transition, and migrate collectively when space is available, as in wound healing or in cancer invasion.…

Growing experimental evidence indicates that topological defects could serve as organizing centers in the morphogenesis of tissues. Here, we provide a quantitative explanation for this phenomenon, rooted in the buckling theory of deformable…

Soft Condensed Matter · Physics 2022-04-21 Ludwig A. Hoffmann , Livio Nicola Carenza , Julia Eckert , Luca Giomi

Here we show that coupling to curvature has profound effects on collective motion in active systems, leading to patterns not observed in flat space. Biological examples of such active motion in curved environments are numerous: curvature…

Soft Condensed Matter · Physics 2015-03-05 Rastko Sknepnek , Silke Henkes

Using a popular vertex-based model to describe a spatially disordered planar epithelial monolayer, we examine the relationship between cell shape and mechanical stress at the cell and tissue level. Deriving expressions for stress tensors…

Cell Behavior · Quantitative Biology 2017-08-14 Alexander Nestor-Bergmann , Georgina Goddard , Sarah Woolner , Oliver Jensen