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The question of what guides lineage segregation is central to development, where cellular differentiation leads to segregated cell populations destined for specialized functions. Here, using optical tweezers measurements of mouse embryonic…

Growing experimental evidence indicates that topological defects could serve as organizing centers in the morphogenesis of tissues. Here, we provide a quantitative explanation for this phenomenon, rooted in the buckling theory of deformable…

Soft Condensed Matter · Physics 2022-04-21 Ludwig A. Hoffmann , Livio Nicola Carenza , Julia Eckert , Luca Giomi

The maintenance of tissue and organ structures during dynamic homeostasis is often not well understood. In order for a system to be stable, cell renewal, cell migration and cell death must be finely balanced. Moreover, a tissue's shape must…

Tissues and Organs · Quantitative Biology 2022-05-11 Domenic P. J. Germano , Stuart T. Johnston , Edmund J. Crampin , James M. Osborne

Epithelial cell layers on soft elastic substrates or pillar arrays are commonly used as model systems for investigating the role of force in tissue growth, maintenance and repair. Here we show analytically that the experimentally observed…

Tissues and Organs · Quantitative Biology 2012-01-16 Carina M. Edwards , Ulrich S. Schwarz

We propose a simple mathematical model to describe the mechanical relaxation of cells within a curved epithelial tissue layer represented by an arbitrary curve in two-dimensional space. This model generalises previous one-dimensional models…

Cellular Automata and Lattice Gases · Physics 2025-01-09 Pascal R. Buenzli , Shahak Kuba , Ryan J. Murphy , Matthew J. Simpson

Cellular contractility, migration, and extracellular matrix (ECM) mechanics are critical for a wide range of biological processes including embryonic development, wound healing, tissue morphogenesis, and regeneration. Even though the…

Biological Physics · Physics 2023-10-17 Jaemin Kim , Mahmut Selman Sakar , Nikolaos Bouklas

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

During the development of an organism, cells must coordinate and organize to generate the correct shape, structure, and spatial patterns of tissues and organs, a process known as morphogenesis. The morphogenesis of embryonic tissues is…

Tissues and Organs · Quantitative Biology 2026-04-28 Adrian Aguirre-Tamaral , Elisa Floris , Bernat Corominas-Murtra

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…

The purpose of this paper is to review some elasticity effects in epitaxial growth. We start by a description of the main ingredients needed to describe elasticity effects (elastic interactions, surface stress, bulk and surface elasticity,…

Materials Science · Physics 2009-11-13 P. Muller

Epithelial cell tissues have a slow relaxation dynamics resembling that of supercooled liquids. Yet, they also have distinguishing features. These include an extended short-time sub-diffusive transient, as observed in some experiments and…

Soft Condensed Matter · Physics 2021-02-17 Yan-Wei Li , Leon Loh Yeong Wei , Matteo Paoluzzi , Massimo Pica Ciamarra

We introduce a particle-based model of self-replicating cells on a deformable substrate composed of the dermis and the basement membrane and investigate the relationship between dermal deformations and stem cell pattering on it. We show…

Tissues and Organs · Quantitative Biology 2018-08-22 Yasuaki Kobayashi , Yusuke Yasugahira , Hiroyuki Kitahata , Mika Watanabe , Ken Natsuga , Masaharu Nagayama

The buckling of a soft elastic sample under growth or swelling has highlighted a new interest in materials science, morphogenesis, and biology or physiology. Indeed, the change of mass or volume is a common fact of any living species, and…

Soft Condensed Matter · Physics 2023-09-21 Martine Ben Amar

It is widely appreciated that surface tension can dominate the behavior of liquids at small scales. Solids also have surface stresses of a similar magnitude, but they are usually overlooked. However, recent work has shown that these can…

Soft Condensed Matter · Physics 2017-05-24 Robert W. Style , Anand Jagota , C. -Y. Hui , Eric R. Dufresne

Spatially confined rigid membranes reorganize their morphology in response to the imposed constraints. A crumpled elastic sheet presents a complex pattern of random folds focusing the deformation energy while compressing a membrane resting…

Maintenance of epidermal thickness is critical to the barrier function of the skin. Decreased tissue thickness, specifically in the stratum corneum (the outermost layer of the tissue), causes discomfort and inflammation, and is related to…

Tissues and Organs · Quantitative Biology 2022-09-13 Claire Miller , Edmund Crampin , James Osborne

The mechanical behaviour of solid biological tissues has long been described using models based on classical continuum mechanics. However, the classical continuum theories of elasticity and viscoelasticity cannot easily capture the…

Biological Physics · Physics 2017-05-16 Shakti N. Menon , Cameron L. Hall , Scott W. McCue , D. L. Sean McElwain

We develop a general incremental framework for hyperelastic solids whose surfaces exhibit both stretch-dependent and curvature-dependent elastic behavior. Building upon a variational formulation of curvature-dependent surface elasticity, we…

Mathematical Physics · Physics 2026-01-08 Xiang Yu , Michal Šmejkal , Martin Horák

During development and under normal physiological conditions, biological tissues are continuously subjected to substantial mechanical stresses. In response to large deformations cells in a tissue must undergo multicellular rearrangements in…

Biological Physics · Physics 2025-04-08 Anh Q. Nguyen , Junxiang Huang , Dapeng Bi

Cellularized tissue and polymer networks can both transition from floppy to rigid as a function of their control parameters, and, yet, the two systems often mechanically interact, which may affect their respective rigidities. To study this…

Cell Behavior · Quantitative Biology 2020-06-30 Amanda Parker , M. Cristina Marchetti , M. Lisa Manning , J. M. Schwarz