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Using a three-dimensional active vertex model, we numerically study the shapes of strained unsupported epithelial monolayers subject to active junctional noise due to stochastic binding and unbinding of myosin. We find that while uniaxial,…

Soft Condensed Matter · Physics 2021-10-12 Jan Rozman , Matej Krajnc , Primož Ziherl

As the cover of embryos and adult organisms, epithelial tissues are subjected to substantial mechanical forces in tissue morphogenesis. However, the finite deformation behaviors of epithelial tissues remain largely unexplored. This study…

Biological Physics · Physics 2025-12-29 Yuan He , Shi-Lei Xue

The Voronoi-based cellular model is highly successful in describing the motion of two-dimensional confluent cell tissues. In the homogeneous version of this model, the energy of each cell is determined solely by its geometric shape and…

Cell Behavior · Quantitative Biology 2018-11-07 Eial Teomy , David A. Kessler , Herbert Levine

Epithelial cell monolayers expand on substrates by forming finger-like protrusions, created by leader cells, in the monolayer boundary. Information transmission and communication between individual entities in the cohesive collective lead…

Biological Physics · Physics 2021-09-06 Sameeksha Rao , Suvakash Dey , Namrata Gundiah

In this paper, we model the configurations of a system of hard rods by viewing each rod in a cell formed by its neighbors. By minimizing the free energy in the model and performing molecular dynamics, where, in both cases, the shape of the…

Soft Condensed Matter · Physics 2024-09-17 Jamie M. Taylor , Thomas G. Fai , Epifanio G. Virga , Xiaoyu Zheng , Peter Palffy-Muhoray

Understanding how cells escape from embedded spheroids requires a mechanical framework linking stress generation within cells, across cells, and between cells and the surrounding extracellular matrix (ECM). We develop such a framework by…

We present a rotationally invariant viscous vertex model that accounts for both cortical and bulk dissipation of cells. The vanishing substrate-friction limit is enforced via Lagrange multipliers, which also provides a framework for…

Biological Physics · Physics 2026-03-31 Shao-Zhen Lin , Sham Tlili , Jean-François Rupprecht

We present a minimal continuum model of strongly adhering cells as active contractile isotropic media and use the model to study the effect of the geometry of the adhesion patch in controlling the spatial distribution of traction and…

Soft Condensed Matter · Physics 2015-06-12 Shiladitya Banerjee , M. Cristina Marchetti

Recent measurements of Norway spruce have revealed stress-state-dependent normalized creep behavior, highlighting a gap in our fundamental understanding. This study examines whether the anisotropic response originates from the…

Cell Behavior · Quantitative Biology 2025-07-03 Alessia Ferrara , Falk K. Wittel

The hygro-mechanical behavior of a hierarchical cellular material, i.e. growth rings of softwood is investigated using a two-scale micro-mechanics model based on a computational homogenization technique. The lower scale considers the…

Materials Science · Physics 2015-09-22 Ahmad Rafsanjani , Dominique Derome , Falk K. Wittel , Jan Carmeliet

As a first approximation, early embryos may be modeled as foams whose shape depends on the surface tensions of each cell. However it has been remarked that exist line tensions at polarized exterior cellular interfaces (apical). In order to…

Numerical Analysis · Mathematics 2025-04-10 Fabrice Delbary

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…

Real-world solids, such as rocks, soft tissues, and engineering materials, are often under some form of stress. Most real materials are also, to some degree, anisotropic due to their microstructure, a characteristic often called the…

Classical Physics · Physics 2022-08-09 Soumya Mukherjee , Michel Destrade , Artur L. Gower

The connection between the properties of cell tissue and those of the single constituent cells remains to be elucidated. At the purely mechanical level, the degree of rigidity of different cellular components, such as the nucleus and the…

Soft Condensed Matter · Physics 2022-03-15 Stefano Villa , Andrea Palamidessi , Emanuela Frittoli , Giorgio Scita , Roberto Cerbino , Fabio Giavazzi

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

We introduce the notion of cell division-induced activity and show that the cell division generates extensile forces and drives dynamical patterns in cell assemblies. Extending the hydrodynamic models of lyotropic active nematics we…

Soft Condensed Matter · Physics 2015-08-07 Amin Doostmohammadi , Sumesh P. Thampi , Thuan B. Saw , Chwee T. Lim , Benoit Ladoux , Julia M. Yeomans

Cell membrane tension directly influences various cellular functions. In this study, we developed a method to estimate surface tension from time-series data. We obtained the curvature-velocity relationship from time-series of binarized cell…

Cell Behavior · Quantitative Biology 2025-04-22 Hiroki Nishitani , Takashi Miura

The initiation of directional cell motion requires symmetry breaking that can happen both with or without external stimuli. During cell crawling, forces generated by the cytoskeleton and their transmission through mechanosensitive adhesions…

Cell Behavior · Quantitative Biology 2023-06-02 Yuzhu Chen , David Saintillan , Padmini Rangamani

A hallmark of biological tissues, viewed as complex cellular materials, is the active generation of mechanical stresses by cellular processes, such as cell divisions. Each cellular event generates a force dipole that deforms the surrounding…

The unique nonlinear mechanics of the fibrous extracellular matrix (ECM) facilitates long-range cell-cell mechanical communications that would be impossible on linear elastic substrates. Past research has described the contribution of two…

Biological Physics · Physics 2019-05-14 Shahar Goren , Yoni Koren , Xinpeng Xu , Ayelet Lesman