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We present a rotationally invariant viscous vertex model that accounts for both cortical and bulk dissipation of cells. The vanishing substrate-friction limit is enforced via Lagrange multipliers, which also provides a framework for…

Biological Physics · Physics 2026-03-31 Shao-Zhen Lin , Sham Tlili , Jean-François Rupprecht

Motivated by the formation of ring-like filament structures in the cortex of plant and animal cells, we study the dynamics of a two-dimensional layer of cytoskeletal filaments and motor proteins near a surface by a general continuum theory.…

Subcellular Processes · Quantitative Biology 2009-11-11 Alexander Zumdieck , Marco Cosentino Lagomarsino , Catalin Tanase , Karsten Kruse , Bela Mulder , Marileen Dogterom , Frank J"ulicher

A consistent treatment of the coupling of surface energy and elasticity within the multi-phase- field framework is presented. The model accurately reproduces stress distribution in a number of analytically tractable, yet non-trivial, cases…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Raphael Schiedung , Ingo Steinbach , Fathollah Varnik

Wetting phenomena are relevant in several technological applications, particularly those involving hydrophobic or hydrophilic surfaces. Many substrates support multiple wetting states depending on surface conditions or droplet history, a…

Soft Condensed Matter · Physics 2025-10-21 Bernardo Boatini , Cristina Gavazzoni , Leonardo Gregory Brunnet , Carolina Brito

How do cells tune emergent properties at the scale of tissues? One class of such emergent behaviors are rigidity transitions, in which a tissue changes from a solid-like to a fluid-like state or vice versa. Here, we introduce a new way for…

Soft Condensed Matter · Physics 2025-06-04 Sadjad Arzash , Indrajit Tah , Andrea J. Liu , M. Lisa Manning

Nematic liquid crystals confined to geometrically as well as chemically patterned substrate on one end and a flat substrate with strong anchoring on the other is studied using non-Boltzmann Monte Carlo methods. We observe significant…

Soft Condensed Matter · Physics 2010-10-18 D. Jayasri , Regina Jose , K. P. N. Murthy , V. S. S. Sastry

The origin of rigidity in disordered materials is an outstanding open problem in statistical physics. Previously, a class of 2D cellular models has been shown to undergo a rigidity transition controlled by a mechanical parameter that…

Soft Condensed Matter · Physics 2023-01-18 Matthias Merkel , Lisa Manning

We investigate the dynamical coupling between the motion and the deformation of a single self-propelled domain based on two different model systems in two dimensions. One is represented by the set of ordinary differential equations for the…

Soft Condensed Matter · Physics 2015-05-18 T. Hiraiwa , T. Ohkuma , T. Ohta , M. Y. Matsuo , M. Sano

The organization of live cells to tissues is associated with the mechanical interaction between cells, which is mediated through their elastic environment. We model cells as spherical active force dipoles surrounded by an infinite elastic…

Biological Physics · Physics 2017-06-08 Roman Golkov , Yair Shokef

Solid interfaces have intrinsic elasticity. However, in most experiments, this is obscured by bulk stresses. Through microscopic observations of the contact-line geometry of a partially wetting droplet on an anisotropically stretched…

Soft Condensed Matter · Physics 2017-11-29 Qin Xu , Robert W. Style , Eric R. Dufresne

The formation and destabilisation of viscoelastic filaments are of importance in many industrial and biological processes. Filament instabilities have been observed for viscoelastic fluids but recently also for soft elastic solids. In this…

Soft Condensed Matter · Physics 2021-06-17 H. V. M. Kibbelaar , A. Deblais , F. Burla , G. H. Koenderink , K. P. Velikov , D. Bonn

The equilibrium state of a flexible fiber settling in a viscous fluid is examined using a combination of macroscopic experiments, numerical simulations and scaling arguments. We identify three regimes having different signatures on this…

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

Tuning cell rearrangements is essential in collective cell movement that underlies cancer progression, wound repair, and embryonic development. A key question is how tissue material properties and morphology emerge from cellular factors…

Biological Physics · Physics 2025-07-15 Soumyadipta Ray , Santidan Biswas , Dipjyoti Das

Connecting cell behavior to tissue shape and mechanics is a key challenge in the physics of morphogenesis. Cytoskeletal turnover precludes a fixed reference state, and tensions are actively generated independently of strain; so conventional…

Soft Condensed Matter · Physics 2026-05-28 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

We investigate the hydrodynamic stability and the formation of patterns in a continuum model of epithelial layers, able to account for the interplay between mechanical activity, lateral adhesion and the $6-$fold orientational order…

Soft Condensed Matter · Physics 2025-02-19 Josep-Maria Armengol-Collado , Leonardo Puggioni , Livio N. Carenza , Luca Giomi

We develop a general continuum mechanics framework for active anisotropic plates within the F\"oppl-von K\'arm\'an limit, incorporating a preferential direction and inelastic active contractions in geometrically nonlinear plate theory.…

Soft Condensed Matter · Physics 2025-12-24 Gabriele Fioretto , Giulio Lucci , Chiara Giverso , Luigi Preziosi

An analytical model based on variational principles for a thin-walled stiffened plate subjected to axial compression is presented. A system of nonlinear differential and integral equations is derived and solved using numerical continuation.…

Materials Science · Physics 2014-06-10 M. Ahmer Wadee , Maryam Farsi

The interplay between active matter and its environment is central to understanding emergent behavior in biological and synthetic systems. Here, we show that coupling active nematic flows to small-amplitude deformations of a compliant…

Soft Condensed Matter · Physics 2026-01-19 Varun Venkatesh , Amin Doostmohammadi

Cells and tissues exert forces and can actively change shape. This strikingly autonomous behavior is powered by the cytoskeleton, which includes an active gel of actin filaments, crosslinks, and myosin molecular motors. Although individual…

Soft Condensed Matter · Physics 2017-07-26 José Alvarado , Misha Sheinman , Abhinav Sharma , Fred C. MacKintosh , Gijsje H. Koenderink