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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

We present a generic framework for modelling three-dimensional deformable shells of active matter that captures the orientational dynamics of the active particles and hydrodynamic interactions on the shell and with the surrounding…

Soft Condensed Matter · Physics 2019-11-20 Luuk Metselaar , Julia M. Yeomans , Amin Doostmohammadi

We propose two toy-models to describe, predict, and interpret the wrinkles appearing on the surface of skin when it is sheared. With the first model, we account for the lines of greatest tension present in human skin by subjecting a layer…

Soft Condensed Matter · Physics 2013-06-04 Pasquale Ciarletta , Michel Destrade , Artur L. Gower

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

Cell invasion and spatial pattern formation are two distinct manifestations of cellular self-organisation in development, regeneration, and disease. Here, we develop and analyse a unified theoretical framework that links these two seemingly…

Tissues and Organs · Quantitative Biology 2026-04-30 Carles Falcó , Samuel W. S. Johnson , Mohit P. Dalwadi , Philip K. Maini

The mechanical behaviour of solid biological tissues has long been described using models based on classical continuum mechanics. However, the classical continuum theories of elasticity and viscoelasticity cannot easily capture the…

Biological Physics · Physics 2017-05-16 Shakti N. Menon , Cameron L. Hall , Scott W. McCue , D. L. Sean McElwain

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

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

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

We investigate how randomly oriented cell traction forces lead to fluidisation in a vertex model of epithelial tissues. We find that the fluidisation occurs at a critical value of the traction force magnitude $F_c$. We show that this…

Soft Condensed Matter · Physics 2022-11-07 Aboutaleb Amiri , Charlie Duclut , Frank Jülicher , Marko Popović

In many adult tissues, stem cells and differentiated cells are not homogeneously distributed : stem cells are arranged in periodic "niches", and differentiated cells are constantly produced and migrate out of these niches. In this article,…

Biological Physics · Physics 2016-03-23 Edouard Hannezo , Alice Coucke , Jean-François Joanny

We investigate the elasticity of unsupported epithelial monolayer and we discover that unlike a thin solid plate, which wrinkles if geometrically incompatible with the underlying substrate, the epithelium may do so even in absence of the…

Soft Condensed Matter · Physics 2023-05-24 Urška Andrenšek , Primož Ziherl , Matej Krajnc

Mitochondrial networks exhibit a variety of complex behaviors, including coordinated cell-wide oscillations of energy states as well as a phase transition (depolarization) in response to oxidative stress. Since functional and structural…

Epithelial morphogenesis, a signature problem of tissue biology and tissue mechanics, continues to inspire biologists and physicists alike. Many treatments focus on tissue fluidization, apical/basal ratio changes, or mechanical…

Biological Physics · Physics 2023-07-26 Carlos M. Duque , Carl D. Modes

Previous linear bifurcation analyses have evidenced that an axially stretched soft cylindrical tube may develop an infinite-wavelength (localised) instability when one or both of its lateral surfaces are under sufficient surface tension.…

Pattern Formation and Solitons · Physics 2021-11-17 Dominic Emery , Yibin Fu

Wrinkling of an inextensible elastic lining of an inner-lined tube under imposed pressure is considered. A simple equation modeling the elastic properties of the lining, the pressure, and the soft-substrate forces is derived. This equation…

Soft Condensed Matter · Physics 2022-01-20 Benjamin Foster , Nicolás Verschueren , Edgar Knobloch , Leonardo Gordillo

The homeostasis of epithelial tissue relies on a balance between the self-renewal of stem cell populations, cellular differentiation, and loss. Although this balance needs to be tightly regulated to avoid pathologies, such as tumor growth,…

Biological Physics · Physics 2024-04-10 Johannes C. Krämer , Edouard Hannezo , Gerhard Gompper , Jens Elgeti

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

How morphogenesis depends on cell properties is an active direction of research. Here, we focus on mechanical models of growing plant tissues, where microscopic (sub)cellular structure is taken into account. In order to establish links…

Analysis of PDEs · Mathematics 2023-11-21 Arezki Boudaoud , Annamaria Kiss , Mariya Ptashnyk

The rheology of biological tissue plays an important role in many processes, from organ formation to cancer invasion. Here, we use a multi-phase field model of motile cells to simulate active microrheology within a tissue monolayer. When…

Soft Condensed Matter · Physics 2022-10-12 Austin Hopkins , Michael Chiang , Benjamin Loewe , Davide Marenduzzo , M. Cristina Marchetti