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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

During the spreading of epithelial tissues, the advancing tissue front often develops fingerlike protrusions. Their resemblance to traditional viscous fingering patterns in driven fluids suggests that epithelial fingers could arise from an…

Biological Physics · Physics 2019-03-05 Ricard Alert , Carles Blanch-Mercader , Jaume Casademunt

Developing epithelial tissues coordinate cell proliferation and mechanical forces to achieve proper size and shape. As epithelial cells tightly adhere together to form the confluent tissue, the distribution of cell areas significantly…

Biological Physics · Physics 2026-01-22 Michael F. Staddon , Natalie A. Dye , Marko Popović , Frank Jülicher

In this paper we report, clarify and broaden various recent efforts to complement the chemistry-centered models of force generation in muscles by mechanics-centered models. The physical mechanisms of interest can be grouped into two…

Biological Physics · Physics 2018-06-26 Matthieu Caruel , Lev Truskinovsky

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

Coherent angular rotation of epithelial cells is thought to contribute to many vital physiological processes including tissue morphogenesis and glandular formation. However, factors regulating this motion, and the implications of this…

Cell Behavior · Quantitative Biology 2016-05-10 S. S. Soumya , Animesh Gupta , Andrea Cugno , Luca Deseri , Kaushik Dayal , Dibyendu Das , Shamik Sen , Mandar M. Inamdar

The evolution of various competing cell types in tissues, and the resulting persistent tissue population, is studied numerically and analytically in a particle-based model of active tissues. Mutations change the properties of cells in…

Populations and Evolution · Quantitative Biology 2024-06-03 Tobias Büscher , Nirmalendu Ganai , Gerhard Gompper , Jens Elgeti

We describe the asymptotic behaviour of a cylindrical elastic body, reinforced along identical $\epsilon$-periodically distributed fibers of size $r_{\epsilon}$, with $0 < r_{\epsilon} < \epsilon$, filled in with some different elastic…

Analysis of PDEs · Mathematics 2010-11-22 Mustapha El Jarroudi , Alain Brillard

Skin contraction is an important biophysical process that takes place during and after the recovery of deep tissue injury. This process is mainly caused by fibroblasts (skin cells) and myofibroblasts (differentiated fibroblasts) that exert…

Numerical Analysis · Mathematics 2021-05-20 Q. Peng , F. J. Vermolen

In this paper homogenization of a mathematical model for plant tissue biomechanics is presented. The microscopic model constitutes a strongly coupled system of reaction-diffusion-convection equations for chemical processes in plant cells,…

Analysis of PDEs · Mathematics 2017-08-24 Andrey Piatnitski , Mariya Ptashnyk

Animal cells are active, contractile objects. While bioassays address the molecular characterization of cell contractility, the mechanical characterization of the active forces in cells remains challenging. Here by confronting theoretical…

Cell Behavior · Quantitative Biology 2022-09-14 Hélène Delanoë-Ayari , Nicolas Bouchonville , Marie Courçon , Alice Nicolas

In vivo, eukaryotic cells are embedded in a matrix environment, where they grow and develop. Generally, this extracellular matrix (ECM) is an anisotropic fibrous structure, through which macromolecules and biochemical signaling molecules at…

Biological Physics · Physics 2020-01-06 David Gomez , Sari Natan , Yair Shokef , Ayelet Lesman

Although tissues are usually studied in isolation, this situation rarely occurs in biology, as cells, tissues, and organs, coexist and interact across scales to determine both shape and function. Here, we take a quantitative approach…

Tissues and Organs · Quantitative Biology 2023-02-07 Carles Falcó , Daniel J. Cohen , José A. Carrillo , Ruth E. Baker

The generation of anisotropic shapes occurs during morphogenesis of almost all organisms. With the recent renewal of the interest in mechanical aspects of morphogenesis, it has become clear that mechanics contributes to anisotropic forms in…

Cell Behavior · Quantitative Biology 2018-04-19 Jean-Daniel Julien , Arezki Boudaoud

Cells within living soft biological tissues seem to promote the maintenance of a mechanical state within a defined range near a so-called set-point. This mechanobiological process is often referred to as mechanical homeostasis. During this…

Cell Behavior · Quantitative Biology 2021-09-23 Jonas F. Eichinger , Daniel Paukner , Roland C. Aydin , Wolfgang A. Wall , Jay D. Humphrey , Christian J. Cyron

A number of factors, such as, cell-cell interactions and self-propulsion of cells driven by cytoskeletal forces determine tissue morphologies and dynamics. To explore the interplay between these factors in controlling the dynamics at the…

Soft Condensed Matter · Physics 2025-05-12 Rajsekhar Das , Xin Li , Sumit Sinha , D. Thirumalai

Mechanical signaling plays a key role in biological processes like embryo development and cancer growth. One prominent way to probe mechanical properties of tissues is to study their response to externally applied forces. Using a…

Soft Condensed Matter · Physics 2017-04-18 D. A. Matoz-Fernandez , Elisabeth Agoritsas , Jean-Louis Barrat , Eric Bertin , Kirsten Martens

We extend a model for the morphology and dynamics of a crawling eukaryotic cell to describe cells on micropatterned substrates. This model couples cell morphology, adhesion, and cytoskeletal flow in response to active stresses induced by…

Cell Behavior · Quantitative Biology 2015-06-17 Brian A. Camley , Yanxiang Zhao , Bo Li , Herbert Levine , Wouter-Jan Rappel

We discuss shape profiles emerging in inhomogeneous growth of squeezed tissues. Two approaches are used simultaneously: i) conformal embedding of two-dimensional domain with hyperbolic metrics into the plane, and ii) a pure energetic…

Soft Condensed Matter · Physics 2015-11-25 Sergei Nechaev , Kirill Polovnikov

Experimental evidence shows that there is a feedback between cell shape and cell motion. How this feedback impacts the collective behavior of dense cell monolayers remains an open question. We investigate the effect of a feedback that tends…

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