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The vertex model is widely used to describe the dynamics of epithelial tissues, because of its simplicity and versatility and the direct inclusion of biophysical parameters. Here, it is shown that quite generally, when cells modify their…

Soft Condensed Matter · Physics 2020-11-25 Fernanda Perez-Verdugo , Jean-Francois Joanny , Rodrigo Soto

Fluid stretching in porous media governs the mixing of reactants, contaminants, and nutrients, yet how the solid microstructure controls the stretching statistics remains poorly understood. We investigate how porous-medium heterogeneity…

Fluid Dynamics · Physics 2026-04-06 J. Kevin Pierce , Tanguy Le Borgne , Francois Renard , Gaute Linga

Active processes drive and guide biological dynamics across scales -- from subcellular cytoskeletal remodelling, through tissue development in embryogenesis, to population-level bacterial colonies expansion. In each of these, biological…

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

The Voronoi model is a popular tool for studying confluent living tissues. It exhibits an anomalous glassy behavior even at very low temperatures or weak active self-propulsion, and at zero temperature the model exhibits a disordered solid…

Soft Condensed Matter · Physics 2021-09-30 D. E. P. Pinto , D. M. Sussman , M. M. Telo da Gama , N. A. M. Araujo

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

We consider a partial differential equation model for the growth of heterogeneous cell populations subdivided into multiple distinct discrete phenotypes. In this model, cells preferentially move towards regions where they feel less…

Analysis of PDEs · Mathematics 2025-04-04 José A. Carrillo , Tommaso Lorenzi , Fiona R. Macfarlane

The relationship between cell density and velocity is often assumed to be negative, reflecting crowding-induced suppression of movement. However, observations across systems reveal a more nuanced picture: while some emphasize contact…

Soft Condensed Matter · Physics 2025-08-27 Hengdong Lu , Tianxiang Ma , Amin Doostmohammadi

Cross-sections of cell shapes in a tissue monolayer typically resemble a tiling of convex polygons. Yet, examples exist where the polygons are not convex with curved cell-cell interfaces, as seen in the adaxial epidermis. To date,…

Biological Physics · Physics 2024-06-21 Kyungeun Kim , J. M. Schwarz , Martine Ben Amar

Cells self-organize into functional, ordered structures during tissue morphogenesis, a process that is evocative of colloidal self-assembly into engineered soft materials. Understanding how inter-cellular mechanical interactions may drive…

In biological systems, the growth of cells, tissues, and organs is influenced by mechanical cues. Locally, cell growth leads to a mechanically heterogeneous environment as cells pull and push their neighbors in a cell network. Despite this…

Biological Physics · Physics 2021-03-17 Alexander Erlich , Gareth W. Jones , Françoise Tisseur , Derek E. Moulton , Alain Goriely

Interfaces in tissues are ubiquitous, both between tissue and environment as well as between populations of different cell types. The propagation of an interface can be driven mechanically. % e.g. by a difference in the respective…

Tissues and Organs · Quantitative Biology 2024-06-03 Tobias Büscher , Angel L. Diez , Gerhard Gompper , Jens Elgeti

The growth of several biological tissues is known to be controlled in part by local geometrical features, such as the curvature of the tissue interface. This control leads to changes in tissue shape that in turn can affect the tissue's…

Tissues and Organs · Quantitative Biology 2016-12-01 Almie Alias , Pascal R Buenzli

Structural cellular materials in nature, such as wood, trabecular bone, corals, and dentin combine complex biological functions with structural roles, such as skeletal support and impact protection1,2. They feature complex structural…

Cell adhesion and migration are strongly influenced by extracellular matrix (ECM) architecture and rigidity, but little is known about the concomitant influence of such environmental signals to cell responses, especially when considering…

Mechanical cues like the rigidity of the substrate are main determinants for the decision making of adherent cells. Here we use a mechano-chemical model to predict the cellular response to varying substrate stiffness. The model equations…

Cell Behavior · Quantitative Biology 2010-07-08 A. Besser , U. S. Schwarz

Collective cell movement, characterized by multiple cells that are in contact for substantial periods of time and undergo correlated motion, plays a central role in cancer and embryogenesis. Recent imaging experiments have provided…

Biological Physics · Physics 2020-06-03 Sumit Sinha , Abdul N Malmi-Kakkada , Xin Li , Himadri S. Samanta , D. Thirumalai

Cell shape is determined by a balance of intrinsic properties of the cell as well as its mechanochemical environment. Inhomogeneous shape changes underly many morphogenetic events and involve spatial gradients in active cellular forces…

Biological Physics · Physics 2018-04-04 Kinjal Dasbiswas , Edouard Hannezo , Nir. S. Gov

Many animal cells change their shape depending on the stiffness of the substrate on which they are cultured: they assume small, rounded shapes in soft ECMs, they elongate within stiffer ECMs, and flatten out on hard substrates. Cells tend…

Cell Behavior · Quantitative Biology 2019-06-24 Elisabeth G. Rens , Roeland M. H. Merks

Cellular solids and micro-lattices are a class of lightweight architected materials that have been established for their unique mechanical, thermal, and acoustic properties. It has been shown that by tuning material architecture, a…

Materials Science · Physics 2024-03-12 Shengzhi Luan , Enze Chen , Joel John , Stavros Gaitanaros
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