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We investigate the effects of cell division and apopotosis on collective dynamics in two-dimensional epithelial tissues. Our model includes three key ingredients observed across many epithelia, namely cell-cell adhesion, cell death and a…

Soft Condensed Matter · Physics 2017-04-18 D. A. Matoz-Fernandez , K. Martens , Rastko Sknepnek , J. L. Barrat , S. Henkes

Branching morphogenesis generates epithelial trees which facilitate gas exchange, filtering, as well as secretion processes with their large surface to volume ratio. In this review, we focus on the developmental mechanisms that control the…

Tissues and Organs · Quantitative Biology 2020-12-23 Dagmar Iber

The buckling of elastic bodies is a common phenomenon in the mechanics of solids. Wrinkling of membranes can often be interpreted as buckling under constraints that prohibit large amplitude deformation. We present a combination of analytic…

Soft Condensed Matter · Physics 2007-05-23 A. Concha , J. W. McIver , P. Mellado , D. Clarke , O. Tchernyshyov , R. L. Leheny

Bacterial cellulose is an important class of biomaterials which can be grown in well-controlled laboratory and industrial conditions. The cellulose structure is affected by several biological, chemical and environmental factors, including…

Biological Physics · Physics 2021-07-28 Sung-Ha Hong , Jia Yang , Mahdi Davoodianidalik , Horst Punzmann , Michael Shats , Hua Xia

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

Using a popular vertex-based model to describe a spatially disordered planar epithelial monolayer, we examine the relationship between cell shape and mechanical stress at the cell and tissue level. Deriving expressions for stress tensors…

Cell Behavior · Quantitative Biology 2017-08-14 Alexander Nestor-Bergmann , Georgina Goddard , Sarah Woolner , Oliver Jensen

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

When considering flows in biological membranes, they are usually treated as flat, though more often than not, they are curved surfaces, even extremely curved, as in the case of the endoplasmic reticulum. Here, we study the topological…

Fluid Dynamics · Physics 2021-05-27 Rickmoy Samanta , Naomi Oppenheimer

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

Thin elastic solids are easily deformed into a myriad of three-dimensional shapes, which may contain sharp localized structures as in a crumpled candy wrapper, or have smooth and diffuse features like the undulating edge of a flower.…

When a thin sheet is crushed into a small three-dimensional volume, it invariably forms a structure with a low volume fraction but high resistance to further compression. Being a far-from-equilibrium process, forced crumpling is not…

Soft Condensed Matter · Physics 2012-03-28 Anne Dominique Cambou , Narayanan Menon

Convergence extension, the simultaneous elongation of tissue along one axis while narrowing along a perpendicular axis, occurs during embryonic development. A fundamental process that contributes to shaping the organism, it happens in many…

Soft Condensed Matter · Physics 2023-03-06 Aondoyima Ioratim-Uba , Tanniemola B. Liverpool , Silke Henkes

Many morphogenetic processes involve mechanical rearrangement of epithelial tissues that is driven by precisely regulated cytoskeletal forces and cell adhesion. The mechanical state of the cell and intercellular adhesion are not only the…

Cell Behavior · Quantitative Biology 2015-06-03 Kevin K. Chiou , Lars Hufnagel , Boris I. Shraiman

The electrostatic contribution to spontaneous membrane curvature is calculated within Poisson-Boltzmann theory under a variety of assumptions and emphasizing parameters in the physiological range. Asymmetric surface charges, either fixed…

Condensed Matter · Physics 2009-10-28 Tom Chou , Marko V. Jaric' , Eric D. Siggia

In this paper, we analyse a model for the growth of three-dimensional walled cells. In this model the biomechanical expansion of the cell is coupled with the geometry of its wall. We consider that the density of building material depends on…

Analysis of PDEs · Mathematics 2015-02-20 Vincent Calvez , Laetitia Giraldi

Adhesive cell-substrate interactions are crucial for cell motility and are responsible for the necessary traction that propels cells. These interactions can also change the shape of the cell, analogous to liquid droplet wetting on adhesive…

We present a generic framework for modelling three-dimensional deformable shells of active matter that captures the orientational dynamics of the active particles and hydrodynamic interactions on the shell and with the surrounding…

Soft Condensed Matter · Physics 2019-11-20 Luuk Metselaar , Julia M. Yeomans , Amin Doostmohammadi

We investigate the influence of curvature and topology on crystalline wrinkling patterns in generic elastic bilayers. Our numerical analysis predicts that the total number of defects created by adiabatic compression exhibits universal…

Soft Condensed Matter · Physics 2015-09-23 Francisco López Jiménez , Norbert Stoop , Romain Lagrange , Jörn Dunkel , Pedro M. Reis

In development and homeostasis, multi-cellular systems exhibit spatial and temporal heterogeneity in their biochemical and mechanical properties. Nevertheless, it remains unclear how spatiotemporally heterogeneous forces affect the…

Soft Condensed Matter · Physics 2022-02-18 Takaki Yamamoto , Daniel M. Sussman , Tatsuo Shibata , M. Lisa Manning

Mechanical instability in a pre-tensioned finite hyperelastic tube subjected to a slowly increasing internal pressure produces a spatially localized bulge at a critical pressure. The subsequent fate of the bulge, under continued inflation,…

Medical Physics · Physics 2021-01-28 Masoud Hejazi , York Hsiang , A. Srikantha Phani