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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 work on particle-based models of tissues has suggested that any finite rate of cell division and cell death is sufficient to fluidize an epithelial tissue. At the same time, experimental evidence has indicated the existence of glassy…

Soft Condensed Matter · Physics 2019-05-07 Michael Czajkowski , Daniel M. Sussman , M. Cristina Marchetti , M. Lisa Manning

Through mechanical forces, biological cells remodel the surrounding collagen network, generating striking deformation patterns. Tethers-tracts of high densification and fiber alignment-form between cells, thinner bands emanate from cell…

Living tissues undergo wetting transitions: On a surface, they can either form a droplet-like cell aggregate or spread as a monolayer of migrating cells. Tissue wetting depends not only on the chemical but also on the mechanical properties…

Biological Physics · Physics 2020-05-14 Ricard Alert , Jaume Casademunt

Multicellular tissues are the building blocks of many biological systems and organs. These tissues are not static, but dynamically change over time. Even if the overall structure remains the same there is a turnover of cells within the…

Tissues and Organs · Quantitative Biology 2021-02-12 Domenic P. J. Germano , James M. Osborne

Interfaces between stratified epithelia and their supporting stromas commonly exhibit irregular shapes. Undulations are particularly pronounced in dysplastic tissues and typically evolve into long, finger-like protrusions in carcinomas. In…

Biological Physics · Physics 2013-06-25 Thomas Risler , Markus Basan

We study a cross-diffusion model for tissue regeneration which involves the dynamics of human mesenchymal stem cells interacting with chondrocytes in a medium containing a differentiation factor. The latter acts as a chemoattractant for the…

Analysis of PDEs · Mathematics 2025-11-04 Nishith Mohan , Christina Surulescu

Biological cells can exchange messages through soluble molecules or membrane-bound receptors. In particular in the latter case, the interaction is usually located in specific regions of the interacting cells and may depend on or induce…

Quantitative Methods · Quantitative Biology 2023-12-12 Thorsten Prüstel , Martin Meier-Schellersheim

We consider a continuum mathematical model of biological tissue formation inspired by recent experiments describing thin tissue growth in 3D-printed bioscaffolds. The continuum model involves a partial differential equation describing the…

Tissues and Organs · Quantitative Biology 2021-11-23 Maud El-Hachem , Scott W McCue , Matthew J Simpson

We propose a model for cell migration where epithelial cells are able to detect trajectories of other cells and try to follow them. As cells move along in 2D cell culture, they mark their paths by loosing tiny parts of cytoplasm. Any cell…

Condensed Matter · Physics 2009-11-07 Stefan Thurner , Nikolaus Wick , Rudolf Hanel , Roland Sedivy , Lukas Huber

Shape transformations of epithelial tissues in three dimensions, which are crucial for embryonic development or in vitro organoid growth, can result from active forces generated within the cytoskeleton of the epithelial cells. How the…

Biological Physics · Physics 2024-12-23 Diana Khoromskaia , Guillaume Salbreux

The migratory dynamics of cells can be influenced by the complex micro-environment through which they move. It remains unclear how the motility machinery of confined cells responds and adapts to their micro-environment. Here, we propose a…

Biological Physics · Physics 2023-12-04 Johannes Flommersfeld , Stefan Stöberl , Omar Shah , Joachim O. Rädler , Chase P. Broedersz

Metastatic tumors often invade healthy neighboring tissues by forming multicellular finger-like protrusions emerging from the cancer mass. To understand the mechanical context behind this phenomenon, we here develop a minimalist fluid model…

Biological Physics · Physics 2018-09-18 Michał Bogdan , Thierry Savin

The directed migration of cells toward stiffer substrate regions or durotaxis is relevant to tissue development and tumor progression. Here, we introduce a phenomenological model for single cell durotaxis that incorporates both elastic…

Soft Condensed Matter · Physics 2024-12-24 Subhaya Bose , Haiqin Wang , Xinpeng Xu , Arvind Gopinath , Kinjal Dasbiswas

By modifying and calibrating an active vertex model to experiments, we have simulated numerically a confluent cellular monolayer spreading on an empty space and the collision of two monolayers of different cells in an antagonistic migration…

Soft Condensed Matter · Physics 2021-04-02 L. L. Bonilla , A. Carpio , C. Trenado

We consider a class of biologically-motivated stochastic processes in which a unicellular organism divides its resources (volume or damaged proteins, in particular) symmetrically or asymmetrically between its progeny. Assuming the final…

Quantitative Methods · Quantitative Biology 2016-07-20 Andrew Marantan , Ariel Amir

Cell extrusion is an essential mechanism for controlling cell density in epithelial tissues. Another essential element of epithelia is curvature, which is required to achieve complex shapes, like in the lung or intestine. Here we introduce…

The mechanical properties of the cell depend crucially on the tension of its cytoskeleton, a biopolymer network that is put under stress by active motor proteins. While the fibrous nature of the network is known to strongly affect the…

Soft Condensed Matter · Physics 2018-05-15 Pierre Ronceray , Chase P. Broedersz , Martin Lenz

We investigate the dynamics of a colony of crawling, proliferating cells with a minimal, mechanical cell model. The cells consist of two disks, modelling the cell body and a pseudopod, connected by a finite extensible spring. The cells…

Cell Behavior · Quantitative Biology 2019-04-11 Simon K. Schnyder , John J. Molina , Ryoichi Yamamoto

Growth and folding in one-layered model tissue sheets are studied in a stochastic, lattice-free single cell model which considers the discrete cellular structure of the tissue, and a coarse grained analytical approach. The polarity of the…

Statistical Mechanics · Physics 2007-05-23 Dirk Drasdo