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Cross-sections of cell shapes in a tissue monolayer typically resemble a tiling of convex polygons. Yet, examples exist where the polygons are not convex with curved cell-cell interfaces, as seen in the adaxial epidermis. To date,…

Biological Physics · Physics 2024-06-21 Kyungeun Kim , J. M. Schwarz , Martine Ben Amar

We derive an asymptotically consistent morphoelastic shell model to describe the finite deformations of biological tissues using the variational asymptotical method. Biological materials may exhibit remarkable compressibility when under…

Soft Condensed Matter · Physics 2024-07-23 Xiang Yu , Xiaoyi Chen

Developing epithelial tissues coordinate cell proliferation and mechanical forces to achieve proper size and shape. As epithelial cells tightly adhere together to form the confluent tissue, the distribution of cell areas significantly…

Biological Physics · Physics 2026-01-22 Michael F. Staddon , Natalie A. Dye , Marko Popović , Frank Jülicher

Mechanical forces influence the development and behavior of biological tissues. In many situations these forces are exerted or resisted by elastic compliant structures such as the own-tissue cellular matrix or other surrounding tissues.…

We discuss shape profiles emerging in inhomogeneous growth of squeezed tissues. Two approaches are used simultaneously: i) conformal embedding of two-dimensional domain with hyperbolic metrics into the plane, and ii) a pure energetic…

Soft Condensed Matter · Physics 2015-11-25 Sergei Nechaev , Kirill Polovnikov

Cells and tissues change shape both to carry out their function and during pathology. In most cases, these deformations are driven from within the systems themselves. This is permitted by a range of molecular actors, such as active…

Biological Physics · Physics 2022-10-18 Alexander Erlich , Jocelyn Étienne , Jonathan Fouchard , Tom Wyatt

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

How do cells tune emergent properties at the scale of tissues? One class of such emergent behaviors are rigidity transitions, in which a tissue changes from a solid-like to a fluid-like state or vice versa. Here, we introduce a new way for…

Soft Condensed Matter · Physics 2025-06-04 Sadjad Arzash , Indrajit Tah , Andrea J. Liu , M. Lisa Manning

The coordinated behaviors of epithelial cells are widely observed in tissue development, such as re-epithelialization, tumor growth, and morphogenesis. In these processes, cells either migrate collectively or organize themselves into…

Soft Condensed Matter · Physics 2022-08-30 Tiankai Zhao , Hongyan Yuan

A key process in the life of any multicellular organism is its development from a single egg into a full grown adult. The first step in this process often consists of forming a tissue layer out of randomly placed cells on the surface of the…

The organization of cells within tissues plays a vital role in various biological processes, including development and morphogenesis. As a result, understanding how cells self-organize in tissues has been an active area of research. In our…

Soft Condensed Matter · Physics 2023-10-09 Kanaya Malakar , Rafael I. Rubenstein , Dapeng Bi , Bulbul Chakraborty

We numerically investigate the morphology and disclination line dynamics of active nematic droplets in three dimensions. Although our model only incorporates the simplest possible form of achiral active stress, active nematic droplets…

Soft Condensed Matter · Physics 2021-04-07 Liam J. Ruske , Julia M. Yeomans

We investigate the viscoelastic relaxation to equilibrium of a disordered planar epithelium described using the cell vertex model. In its standard form, the model is formulated as coupled evolution equations for the locations of vertices of…

Biological Physics · Physics 2025-10-27 Natasha Cowley , Christopher K. Revell , Emma Johns , Sarah Woolner , Oliver E. Jensen

Actin and myosin assemble into a thin layer of a highly dynamic network underneath the membrane of eukaryotic cells. This network generates the forces that drive cell and tissue-scale morphogenetic processes. The effective material…

Biological Physics · Physics 2016-05-04 A. Saha , M. Nishikawa , M. Behrndt , C. -P. Heisenberg , F. Jülicher , S. W. Grill

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

T1 transitions, which are localised cell rearrangements, play an important role in the fluidization of epithelial monolayers. Using a multi-phase field model and an active elastic solid model, we show that although each cell undergoes T1…

Biological Physics · Physics 2025-02-11 Harish P. Jain , Richard D. J. G. Ho , Luiza Angheluta

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

The motion of an object within a viscous fluid and in the vicinity of a soft surface induces a hydrodynamic stress field that deforms the latter, thus modifying the boundary conditions of the flow. This results in elastohydrodynamic (EHD)…

Soft Condensed Matter · Physics 2023-06-22 Vincent Bertin , Yacine Amarouchene , Elie Raphael , Thomas Salez

The alignment of fibers and cells in living tissues affect their mechanical properties and functionality. In this context, one can draw an analogy between tissues and nematic liquid crystal elastomers. We explore this analogy by growing…

Soft Condensed Matter · Physics 2025-10-08 Kirsten Endresen , Aniruddh Murali , Birte Geerds , Daniel J. G. Pearce , Francesca Serra

A discrete solid-on-solid model of epitaxial growth is introduced which, in a simple manner, takes into account the effect of an Ehrlich-Schwoebel barrier at step edges as well as the local relaxation of incoming particles. Furthermore a…

Condensed Matter · Physics 2009-10-30 M. Biehl , W. Kinzel , S. Schinzer