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We investigate a continuum mechanical model for an adherent cell on two dimensional adhesive micropatterned substrates. The cell is modeled as an isotropic and homogeneous elastic material subject to uniform internal contractile stresses.…

Biological Physics · Physics 2013-12-30 Shiladitya Banerjee , Rastko Sknepnek , M. Cristina Marchetti

Over the last two decades, scientific literature has been blooming with various means of simulating epithelial cell colonies. Each of these simulations can be separated by their respective efficiency (expressed in terms of consumed…

Computational Physics · Physics 2022-12-20 Kevin Höllring , Ana-Sunčana Smith

Lipid membranes, fundamental to cellular function, undergo various mechanical deformations. Accurate modeling of these processes necessitates a thorough understanding of membrane elasticity. The lateral shear modulus, a critical parameter…

Soft Condensed Matter · Physics 2024-12-02 Konstantin V. Pinigin

We theoretically explore fluidization of epithelial tissues by active T1 neighbor exchanges. We show that the geometry of cell-cell junctions encodes important information about the local features of the energy landscape, which we support…

Soft Condensed Matter · Physics 2018-08-31 Matej Krajnc , Sabyasachi Dasgupta , Primož Ziherl , Jacques Prost

In order to describe two-dimensionally packed cells in epithelial tissues both mathematically and physically, there have been developed several sorts of geometrical models, such as the vertex model, the finite element model, the…

Biological Physics · Physics 2014-11-19 Yukitaka Ishimoto , Yoshihiro Morishita

Monolayers of anisotropic cells exhibit long-ranged orientational order and topological defects. During the development of organisms, orientational order often influences morphogenetic events. However, the linkage between the mechanics of…

Soft Condensed Matter · Physics 2021-01-20 Carles Blanch-Mercader , Pau Guillamat , Aurélien Roux , Karsten Kruse

In tissue development, wound healing, and cancer invasion, coordinated cell motion arises from active forces produced by the cells. The relationship between force and motion remains unclear, however, because the forces result from a sum of…

Biological Physics · Physics 2025-12-17 Molly McCord , Jacob Notbohm

Morphogenesis, tissue regeneration and cancer invasion involve transitions in tissue morphology. These transitions, caused by collective cell migration (CCM), have been interpreted as active wetting/de-wetting transitions. This phenomenon…

Cell Behavior · Quantitative Biology 2022-08-29 Ivana Pajic-Lijakovic , Milan Milivojevic

A living cell actively generates traction forces on its environment with its actin cytoskeleton. These forces deform the cell elastic substrate which, in turn, affects the traction forces exerted by the cell and can consequently modify the…

Biological Physics · Physics 2022-02-03 H. Chelly , A. Jahangiri , M. Mireux , J. Étienne , D. K. Dysthe , C. Verdier , P. Recho

One of the central problems in animal and plant developmental biology is deciphering how chemical and mechanical signals interact within a tissue to produce organs of defined size, shape and function. Cell walls in plants impose a unique…

Biological cells in living tissues form dynamic patterns with local orientational order and topological defects. Here we demonstrate an approach to produce cell monolayer with the predesigned orientational patterns using human dermal…

We find a reentrant columnar-to-squamous rigidity transition in 3D epithelia, governed by volume- and area elasticity. Our framework maps onto the classic 2D Area- and Perimeter-Elasticity model but, unlike its 2D counterpart, exhibits both…

Soft Condensed Matter · Physics 2025-12-15 Tanmoy Sarkar , Matej Krajnc

Many closed-cell foams exhibit an elongated cell shape in the foam rise direction, resulting in anisotropic compressive properties. Nevertheless, the underlying deformation mechanisms and how cell shape anisotropy induces this mechanical…

Numerical Analysis · Mathematics 2026-01-01 L. Liu , F. Liu , D. Zenkert , M. Åkermo , M. Fagerström

We examine the budding of a nanoscale particle through a lipid bilayer using molecular dynamics simulations, free energy calculations, and an elastic theory, with the aim of determining the extent to which equilibrium elasticity theory can…

Subcellular Processes · Quantitative Biology 2012-02-22 Teresa Ruiz-Herrero , Enrique Velasco , Michael F. Hagan

Unlike conventional two-dimensional (2D) semiconductor superlattices, moir\'{e} patterns in 2D materials are flexible and their electronic, magnetic, optical, and mechanical properties depend on their topography. Within a…

Mesoscale and Nanoscale Physics · Physics 2022-11-07 Alexandre Artaud , Nicolas Rougemaille , Sergio Vlaic , Vincent T. Renard , Nicolae Atodiresei , Johann Coraux

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

During the early-stages of embryo development, morphogenesis--- the emergence of shape and form in living organisms--- is almost exclusively associated with monolayers of tightly bound epithelial cells. To understand how such tissues change…

Soft Condensed Matter · Physics 2019-08-28 Richard G. Morris , Madan Rao

Tissue fusion eliminates physical voids in a tissue to form a continuous structure and is central to many processes in development and repair. Fusion events in vivo, particularly in embryonic development, often involve the purse-string…

Tissues and Organs · Quantitative Biology 2015-08-12 V. Nier , M. Deforet , G. Duclos , H. G. Yevick , O. Cochet-Escartin , P. Marcq , P. Silberzan

Cell monolayers and epithelial tissues display slow dynamics during the liquid-glass transitions, a phenomenon with direct relevance to embryogenesis, tumor metastases, and wound healing. In active cells, persistent motion and cell…

Soft Condensed Matter · Physics 2024-01-25 Meng-Yuan Li , Yan-Wei Li

Plant organ outgrowth superficially appears like the continuous mechanical deformation of a sheet of cells. Yet, how precisely cells as individual mechanical entities can act to morph a tissue reliably and efficiently into three dimensions…

Biological Physics · Physics 2020-04-28 Jason Khadka , Jean-Daniel Julien , Karen Alim