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In processes such as embryo shaping, wound healing, and malignant cell invasion, epithelial cells transition between dispersed phases, where the cells move independently, and condensed phases, where they aggregate and deform to close gaps,…

Soft Condensed Matter · Physics 2024-09-25 Anshuman Pasupalak , Zeng Wu , Massimo Pica Ciamarra

Treating the epithelium as an incompressible fluid adjacent to a viscoelastic stroma, we find a novel hydrodynamic instability that leads to the formation of protrusions of the epithelium into the stroma. This instability is a candidate for…

Biological Physics · Physics 2012-03-09 Markus Basan , Jean-Francois Joanny , Jacques Prost , Thomas Risler

Tissue growth kinetics and interface dynamics depend on the properties of the tissue environment and cell-cell interactions. In cellular environments, substrate heterogeneity and geometry arise from a variety factors, such as the structure…

Soft Condensed Matter · Physics 2023-03-21 Mahmood Mazarei , Jan Astrom , Jan Westerlund , Mikko Karttunen

The mechanics of a foam typically depends on the bubble geometry, topology, and the material at hand, be it metallic or polymeric, for example. While the foam energy functional for each bubble is typically minimization of surface area for a…

Soft Condensed Matter · Physics 2023-08-25 Kyungeun Kim , Tao Zhang , J. M. Schwarz

Protrusions at the leading-edge of a cell play an important role in sensing the extracellular cues, during cellular spreading and motility. Recent studies provided indications that these protrusions wrap (coil) around the extra-cellular…

Organoids are in vitro cellular collectives from which brain-like, or gut-like, or kidney-like structures emerge. To make quantitative predictions regarding the morphology and rheology of a cellular collective in its initial stages of…

Soft Condensed Matter · Physics 2023-01-12 Tao Zhang , J. M. Schwarz

A continuum model of epithelial tissue mechanics was formulated using cellular-level mechanical ingredients and cell morphogenetic processes, including cellular shape changes and cellular rearrangements. This model can include finite…

Tissues and Organs · Quantitative Biology 2017-09-06 Shuji Ishihara , Philippe Marcq , Kaoru Sugimura

Eukaryote cells have a flexible shape, which dynamically changes according to the function performed by the cell. One mechanism for deforming the cell membrane into the desired shape is through the expression of curved membrane proteins.…

Biological Physics · Physics 2018-12-05 Miha Fošnarič , Samo Penič , Aleš Iglič , Veronika Kralj-Iglič , Mitja Drab , Nir Gov

The optimal shapes attained by contractile cells on adhesive substrates are determined by the interplay between intracellular forces and adhesion with the extracellular matrix. We model the cell as a contractile film bounded by an elastic…

Biological Physics · Physics 2013-05-10 Shiladitya Banerjee , Luca Giomi

Curvature in biological membranes can be generated by a variety of different molecular mechanisms such as protein scaffolding, lipid or protein asymmetry, cytoskeletal forces, etc. These mechanisms have the net effect of generating stresses…

Across development, the morphology of fluid-filled lumina enclosed by epithelial tissues arises from an interplay of lumen pressure, mechanics of the cell cortex, and cell-cell adhesion. Here, we explore the mechanical basis for the control…

Soft Condensed Matter · Physics 2026-04-07 Chandraniva Guha Ray , Markus Mukenhirn , Alf Honigmann , Pierre A. Haas

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

The mechanical properties of tissues play an essential role for all tissue properties such as cell division, and differentiation or morphogenesis. Here, we study theoretically the rheology of 2-dimensional epithelial tissues described by a…

Soft Condensed Matter · Physics 2023-12-18 Doron Grossman , Jean-Francois Joanny

Cell neighbor exchanges play a critical role in regulating tissue fluidity during epithelial morphogenesis and repair. In vivo, these neighbor exchanges are often hindered by the formation of transiently stable four-fold vertices, which can…

Biological Physics · Physics 2023-10-17 Fernanda Pérez-Verdugo , Shiladitya Banerjee

Complex tissue flows in epithelia are driven by intra- and inter-cellular processes that generate, maintain, and coordinate mechanical forces. There has been growing evidence that cell shape anisotropy, manifested as nematic order, plays an…

Soft Condensed Matter · Physics 2024-12-17 Jan Rozman , Chaithanya K. V. S. , Julia M. Yeomans , Rastko Sknepnek

In this article, we propose a general framework to study the dynamics and topology of cellular networks that capture the geometry of cell packings in two-dimensional tissues. Such epithelia undergo large-scale deformation during…

Tissues and Organs · Quantitative Biology 2017-09-08 Matthias Merkel , Raphaël Etournay , Marko Popović , Guillaume Salbreux , Suzanne Eaton , Frank Jülicher

A theoretical model for stratified epithelium is presented. The viscoelastic properties of the tissue is assumed to be dependent on the spatial distribution of proliferative and differentiated cells. Based on this assumption, a hydrodynamic…

Biological Physics · Physics 2016-06-08 Wei-Ting Yeh , Hsuan-Yi Chen

Cell shape changes are largely controlled by the actin cytoskeleton, a dynamic filament network beneath the plasma membrane. Several cell types can form extended free-standing protrusions not supported by an extracellular substrate or…

Soft Condensed Matter · Physics 2025-10-21 Kristiana Mihali , Dennis Wörthmüller , Pierre Sens

Vertex Models, as used to describe cellular tissue, have an energy controlled by deviations of each cell area and perimeter from target values. The constrained nonlinear relation between area and perimeter leads to new mechanical response.…

Soft Condensed Matter · Physics 2022-07-04 Arthur Hernandez , Michael F. Staddon , Mark J. Bowick , M. Cristina Marchetti , Michael Moshe

Deformations of cell sheets during morphogenesis are driven by developmental processes such as cell division and cell shape changes. In morphoelastic shell theories of development, these processes appear as variations of the intrinsic…

Soft Condensed Matter · Physics 2021-03-03 Pierre A. Haas , Raymond E. Goldstein