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Two-dimensional (2D) mechanical models of confluent tissues have related the mechanical state of a monolayer of cells to the average perimeter length of the cell cross sections, predicting floppiness or rigidity of the material. For the…

Soft Condensed Matter · Physics 2025-01-30 Jairo M. Rojas , Mayisha Z. Nakib , Vivian W. Tang , William M. Brieher , Sascha Hilgenfeldt

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

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

In cell extrusion, a cell embedded in an epithelial monolayer loses its apical or basal surface and is subsequently squeezed out of the monolayer by neighboring cells. Cell extrusions occur during apoptosis, epithelial-mesenchymal…

Cell Behavior · Quantitative Biology 2020-04-24 Satoru Okuda , Koichi Fujimoto

We derive a continuum mechanical model to capture the morphological changes occurring at the pretumoral stage of epithelial tissues. The proposed model aims to investigate the competition between the bulk elasticity of the epithelium and…

Soft Condensed Matter · Physics 2021-07-27 Antonino Favata , Roberto Paroni , Filippo Recrosi , Giuseppe Tomassetti

We use a three-dimensional formulation of the cell vertex model to describe the mechanical properties of a confluent planar monolayer of prismatic cells. Treating cell height as a degree of freedom, we reduce the model to a two-dimensional…

Biological Physics · Physics 2025-08-29 Natasha Cowley , Sarah Woolner , Oliver E. Jensen

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 mechanical properties of cells, which influence the properties of the tissue they belong to, are controlled by various mechanisms. Bi et al. theoretically demonstrated that density-independent rigidity transition occurs in…

Soft Condensed Matter · Physics 2018-02-27 H. Nogucci

Many morphogenetic processes involve mechanical rearrangement of epithelial tissues that is driven by precisely regulated cytoskeletal forces and cell adhesion. The mechanical state of the cell and intercellular adhesion are not only the…

Cell Behavior · Quantitative Biology 2015-06-03 Kevin K. Chiou , Lars Hufnagel , Boris I. Shraiman

Organogenesis involves large deformations and complex shape changes that require elaborate mechanical regulation. Models of tissue biomechanics have been introduced to account for the coupling between mechanical response and biochemical…

Soft Condensed Matter · Physics 2025-04-16 Patrick W. Alford , Luiza Angheluta , Jorge Vinals

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

Cell layers eliminate unwanted cells through the extrusion process, which underlines healthy versus flawed tissue behaviors. Although several biochemical pathways have been identified, the underlying mechanical basis including the forces…

Soft Condensed Matter · Physics 2023-04-20 Siavash Monfared , Guruswami Ravichandran , Jose E. Andrade , Amin Doostmohammadi

Tissue fluidity regulates many critical biological processes, including embryonic development, wound healing, and cancer metastasis. In confluent epithelia, where cell packing fraction is effectively fixed, the prevailing paradigm…

Biological Physics · Physics 2026-03-09 Pradip K. Bera , Anh Q. Nguyen , Molly McCord , Dapeng Bi , Jacob Notbohm

Multiphase field models have emerged as an important computational tool for understanding biological tissue while resolving single-cell properties. While they have successfully reproduced many experimentally observed behaviors of living…

Soft Condensed Matter · Physics 2025-02-13 Michael Chiang , Austin Hopkins , Benjamin Loewe , Davide Marenduzzo , M. Cristina Marchetti

Epithelial cell layers on soft elastic substrates or pillar arrays are commonly used as model systems for investigating the role of force in tissue growth, maintenance and repair. Here we show analytically that the experimentally observed…

Tissues and Organs · Quantitative Biology 2012-01-16 Carina M. Edwards , Ulrich S. Schwarz

When cell sheets fold during development, their apical or basal surfaces constrict and cell shapes approach the geometric singularity in which these surfaces vanish. Here, we reveal the mechanical consequences of this geometric singularity…

Soft Condensed Matter · Physics 2025-12-12 Chandraniva Guha Ray , Pierre A. Haas

Connecting cell behavior to tissue shape and mechanics is a key challenge in the physics of morphogenesis. Cytoskeletal turnover precludes a fixed reference state, and tensions are actively generated independently of strain; so conventional…

Soft Condensed Matter · Physics 2026-05-28 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

During development and under normal physiological conditions, biological tissues are continuously subjected to substantial mechanical stresses. In response to large deformations cells in a tissue must undergo multicellular rearrangements in…

Biological Physics · Physics 2025-04-08 Anh Q. Nguyen , Junxiang Huang , Dapeng Bi

Anchorage-dependent cells collect information on the mechanical properties of the environment through their contractile machineries and use this information to position and orient themselves. Since the probing process is anisotropic,…

Soft Condensed Matter · Physics 2007-05-23 I. B. Bischofs , S. A. Safran , U. S. Schwarz

The behaviour and fate of tissue cells is controlled by the rigidity and geometry of their adhesive environment, possibly through forces localized to sites of adhesion. We introduce a mechanical model that predicts cellular force…

Cell Behavior · Quantitative Biology 2009-07-24 Ilka B. Bischofs , Sebastian S. Schmidt , Ulrich S. Schwarz
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