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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

Epithelia are confluent cell layers that self-organize into polygonal networks whose geometry encodes their mechanical state. A principal driver is the tunable contractility of the actomyosin cortex, which links cell-junction tension to…

Soft Condensed Matter · Physics 2025-12-16 Sulaimaan Lim , Julien Vermot , Chiu Fan Lee

We perform cell segmentation on images from experimental studies of confluent, mobile cells in epithelial monolayers and show that these systems possess a broad, positively-skewed shape parameter distribution $P(\mathcal{A})$, where…

We generated a computational approach to analyze the biomechanics of epithelial cell aggregates, either island or stripes or entire monolayers, that combines both vertex and contact-inhibition-of-locomotion models to include both cell-cell…

Tuning cell rearrangements is essential in collective cell movement that underlies cancer progression, wound repair, and embryonic development. A key question is how tissue material properties and morphology emerge from cellular factors…

Biological Physics · Physics 2025-07-15 Soumyadipta Ray , Santidan Biswas , Dipjyoti Das

In proliferating epithelia of mammalian skin, cells of irregular polygonal-like shapes pack into complex nearly flat two-dimensional structures that are pliable to deformations. In this work, we employ various sensitive correlation…

Statistical Mechanics · Physics 2016-12-07 Duyu Chen , Wen Yih Aw , Danelle Devenport , Salvatore Torquato

As an injury heals, an embryo develops, or a carcinoma spreads, epithelial cells systematically change their shape. In each of these processes cell shape is studied extensively, whereas variation of shape from cell-to-cell is dismissed most…

A continuum description is built to characterize the stationary and transient deformations of confluent tissues subject to heterogeneous activities. By defining a coarse-grained texture matrix field to represent the shape and size of cells,…

Biological Physics · Physics 2023-08-10 Fernanda Pérez-Verdugo , Rodrigo Soto

During development, epithelial tissues undergo extensive morphogenesis based on coordinated changes of cell shape and position over time. Continuum mechanics describes tissue mechanical state and shape changes in terms of strain and stress.…

Cell Behavior · Quantitative Biology 2012-05-14 Isabelle Bonnet , Philippe Marcq , Floris Bosveld , Luc Fetler , Yohanns Bellaiche , Francois Graner

It is now widely recognized that mechanical interactions between cells play a crucial role in epithelial morphogenesis, yet understanding the mechanisms through which stress and deformation affect cell behavior remains an open problem due…

Tissues and Organs · Quantitative Biology 2017-01-20 Nicholas Noll , Madhav Mani , Idse Heemskerk , Sebastian Streichan , Boris I. Shraiman

Epithelial tissues act as barriers and, therefore, must repair themselves, respond to environmental changes and grow without compromising their integrity. Consequently, they exhibit complex viscoelastic rheological behavior where…

Soft Condensed Matter · Physics 2022-10-04 Sijie Tong , Navreeta K. Singh , Rastko Sknepnek , Andrej Kosmrlj

The importance of collective cellular migration during embryogenesis and tissue repair asks for a sound understanding of underlying principles and mechanisms. Here, we address recent in vitro experiments on cell monolayers which show that…

Quantitative Methods · Quantitative Biology 2016-03-14 Pierre Recho , Jonas Ranft , Philippe Marcq

We propose a simple mathematical model to describe the mechanical relaxation of cells within a curved epithelial tissue layer represented by an arbitrary curve in two-dimensional space. This model generalises previous one-dimensional models…

Cellular Automata and Lattice Gases · Physics 2025-01-09 Pascal R. Buenzli , Shahak Kuba , Ryan J. Murphy , Matthew J. Simpson

An analytical model of mechanical stress in a polymer electrolyte membrane (PEM) of a hydrogen/air fuel cell with porous Water Transfer Plates (WTP) is developed in this work. The model considers a mechanical stress in the membrane is a…

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

Spatiotemporal patterns in multicellular systems are important to understanding tissue dynamics, for instance, during embryonic development and disease. Here, we use a multiphase field model to study numerically the behavior of a…

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

Recent experiments in various cell types have shown that two-dimensional tissues often display local nematic order, with evidence of extensile stresses manifest in the dynamics of topological defects. Using a mesoscopic model where tissue…

Soft Condensed Matter · Physics 2021-03-30 Farzan Vafa , Mark J. Bowick , Boris I. Shraiman , M. Cristina Marchetti

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

Collective cell motions underlie structure formation during embryonic development. Tissues exhibit emergent multicellular characteristics such as jamming, rigidity transitions, and glassy dynamics, but there remain questions about how those…

Biological Physics · Physics 2023-12-13 Evan Thomas , Sevan Hopyan

The elastic moduli of tissues are connected to their states of health and function. The epithelial monolayer is a simple, minimal, tissue model that is often used to gain understanding of mechanical behavior at the cellular or…

Soft Condensed Matter · Physics 2024-12-13 Steven J. Chisolm , Emily Guo , Vignesh Subramaniam , Kyle D. Schulze , Thomas E. Angelini