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A constitutive relation between stress and strain relative to a reference state is the basic assumption of elasticity theory. However, in living matter, force generation is governed by motor molecule activity, which does not depend on…

Soft Condensed Matter · Physics 2026-03-17 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

The ability of cells to reorganize in response to external stimuli is important in areas ranging from morphogenesis to tissue engineering. Elongated cells can co-align due to steric effects, forming states with local order. We show that…

During development, epithelial tissues undergo extensive morphogenesis based on coordinated changes of cell shape and position over time. Continuum mechanics describes tissue mechanical state and shape changes in terms of strain and stress.…

Cell Behavior · Quantitative Biology 2012-05-14 Isabelle Bonnet , Philippe Marcq , Floris Bosveld , Luc Fetler , Yohanns Bellaiche , Francois Graner

Epithelial tissues are continuously exposed to cyclic stretch. Physiological stretching has been found to regulate soft tissue function at the molecular, cellular, and tissue scales, allowing tissues to preserve their homeostasis and adapt…

Biological Physics · Physics 2024-12-18 Eleni Papafilippou , Lucia Baldauf , Guillaume Charras , Alexandre Kabla , Alessandra Bonfanti

Cell deformability is an essential determinant for tissue-scale mechanical nature, such as fluidity and rigidity, and is thus crucial for understanding tissue homeostasis and stable developmental processes. However, numerical simulations…

Tissues and Organs · Quantitative Biology 2023-03-08 Nen Saito , Shuji Ishihara

Active nematic models explain the topological defects and flow patterns observed in epithelial tissues, but the nature of active stress-whether it is extensile or contractile, a key parameter of the theory-is not well established…

Soft Condensed Matter · Physics 2025-11-11 Jan Rozman , Sumesh P. Thampi , Julia M. Yeomans

Spatiotemporal patterns in multicellular systems are important to understanding tissue dynamics, for instance, during embryonic development and disease. Here, we use a multiphase field model to study numerically the behavior of a…

Soft Condensed Matter · Physics 2025-02-13 Michael Chiang , Austin Hopkins , Benjamin Loewe , M. Cristina Marchetti , Davide Marenduzzo

Models for confluent biological tissues often describe the network formed by cells as a triple-junction network, similar to foams. However, higher order vertices or multicellular rosettes are prevalent in developmental and {\it in vitro}…

Biological Physics · Physics 2019-02-20 Le Yan , Dapeng Bi

Recent experiments in various cell types have shown that two-dimensional tissues often display local nematic order, with evidence of extensile stresses manifest in the dynamics of topological defects. Using a mesoscopic model where tissue…

Soft Condensed Matter · Physics 2021-03-30 Farzan Vafa , Mark J. Bowick , Boris I. Shraiman , M. Cristina Marchetti

The rheological properties of biological tissues are core to processes such as cancer metastasis, wound healing and embryo development. The emergence of tissue and organ structures during morphogenesis requires the precise formation of…

Soft Condensed Matter · Physics 2026-03-10 Aidan J. Nicholas , Suzanne M. Fielding

Active solids combine internal active driving with elasticity to realize states with nonequilibrium mechanics and autonomous motion. They are often studied in overdamped settings, e.g., in soft materials, and the role of inertia is less…

Soft Condensed Matter · Physics 2025-12-29 Siddhartha Sarkar , Biswarup Ash , Yueyang Wu , Nicholas Boechler , Suraj Shankar , Xiaoming Mao

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

The shapes of epithelial tissues result from a complex interplay of contractile forces in the cytoskeleta of the cells in the tissue, and adhesion forces between them. A host of discrete, cell-based models describe these forces by assigning…

Soft Condensed Matter · Physics 2019-02-27 Pierra A. Haas , Raymond E. Goldstein

Quantifying the in-plane rheology of epithelial monolayers remains challenging due to the difficulty of imposing controlled shear. We introduce a self-driven, rheometer-like assay in which collective migration generates stationary shear…

How can a collection of motile cells, each generating contractile nematic stresses in isolation, become an extensile nematic at the tissue-level? Understanding this seemingly contradictory experimental observation, which occurs irrespective…

Soft Condensed Matter · Physics 2022-02-21 Andrew Killeen , Thibault Bertrand , Chiu Fan Lee

The emergence of nematic order on deformable closed surfaces plays a pivotal role in the morphogenesis of active biological matter, such as the regeneration of Hydra. In this work, we present a continuum model that couples the…

Soft Condensed Matter · Physics 2026-03-10 Gaetano Napoli , Silvia Paparini

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

We investigate how randomly oriented cell traction forces lead to fluidisation in a vertex model of epithelial tissues. We find that the fluidisation occurs at a critical value of the traction force magnitude $F_c$. We show that this…

Soft Condensed Matter · Physics 2022-11-07 Aboutaleb Amiri , Charlie Duclut , Frank Jülicher , Marko Popović

We derive a continuum mechanical model to capture the morphological changes occurring at the pretumoral stage of epithelial tissues. The proposed model aims to investigate the competition between the bulk elasticity of the epithelium and…

Soft Condensed Matter · Physics 2021-07-27 Antonino Favata , Roberto Paroni , Filippo Recrosi , Giuseppe Tomassetti

The field of active nematics has traditionally employed descriptions based on dipolar activity, with interactions that align along a single axis. However, it has been theoretically predicted that interactions with a substrate, prevalent in…