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Biological tissues exhibit diverse mechanical and rheological behaviors during morphogenesis. While much is known about tissue phase transitions controlled by structural order and cell mechanics, key questions regarding how tissue-scale…

Soft Condensed Matter · Physics 2026-04-29 Pengyu Yu , Fridtjof Brauns , M. Cristina Marchetti

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

We introduce a mathematical model for the mechanical behaviour of the eukaryotic cell cytoskeleton. This discrete model involves a regular array of pre-stressed protein filaments that exhibit resistance to enthalpic stretching, joined at…

Quantitative Methods · Quantitative Biology 2023-09-06 J. Köry , N. A. Hill , X. Y. Luo , P. S. Stewart

Cell shape changes, essential for processes such as motility or division, are controlled by the actomyosin cortex that actively remodels biological membranes. Their mechanisms can be deciphered in___vitro using biomimetic reconstituted…

Cell migration plays a fundamental role in numerous physiological processes, including embryonic development, wound healing, and cancer metastasis. While cell-cell adhesion is known to regulate motion by shaping cell morphology and…

Biological Physics · Physics 2026-03-09 Anh Q. Nguyen , Pradip K. Bera , Jacob Notbohm , Dapeng Bi

Several models have been proposed to describe the dynamics of epithelial tissues undergoing morphogenetic changes driven by apical constriction pulses, which differ in where the constriction is applied, either at the perimeter or medial…

Soft Condensed Matter · Physics 2021-06-03 Fernanda Pérez-Verdugo , Germán Reig , Mauricio Cerda , Miguel L. Concha , Rodrigo Soto

Epithelia are confluent cell layers that self-organize into polygonal networks whose geometry encodes their mechanical state. A principal driver is the tunable contractility of the actomyosin cortex, which links cell-junction tension to…

Soft Condensed Matter · Physics 2025-12-16 Sulaimaan Lim , Julien Vermot , Chiu Fan Lee

It is well known that many biochemical processes in the cell such as gene regulation, growth signals and activation of ion channels, rely on mechanical stimuli. However, the mechanism by which mechanical signals propagate through cells is…

Soft Condensed Matter · Physics 2017-04-05 Adar Sonn-Segev , Anne Bernheim-Groswasser , Yael Roichman

Biologically inspired pressure actuated cellular structures can alter their shape through pressure variations. Previous work introduced a computational framework for pressure actuated cellular structures which was limited to two cell rows…

Quantitative Methods · Quantitative Biology 2017-04-10 Markus Pagitz , Remco I. Leine

We perform an analytical investigation of the cell interface dynamics in the framework of a minimal phase field model of cell motility suggested in [1], which consists of two coupled evolution equations for the order parameter and a…

Biological Physics · Physics 2019-10-04 Mohammad Abu Hamed , Alexander A. Nepomnyashchy

We present a systematic study of the influence of cell geometry on the orientational distribution of microtubules (MTs) nucleated from a single microtubule organizing center (MTOC). For simplicity we consider an elliptical cell geometry, a…

Biomolecules · Quantitative Biology 2022-11-30 Panayiotis Foteinopoulos , Bela M. Mulder

The interface dynamics of a 3D cell immersed in a 3D extracellular matrix is investigated. We suggest a 3D generalization of a known 2D minimal phase field model suggested in [1] for the description of keratocyte motility. Our model…

Biological Physics · Physics 2021-06-04 Mohammad Abu Hamed , Alexander A. Nepomnyashchy

The migration of cells is relevant for processes such as morphogenesis, wound healing, and invasion of cancer cells. In order to move, single cells deform cyclically. However, it is not understood how these shape oscillations influence…

Biological Physics · Physics 2019-09-04 Matteo Campo , Simon K. Schnyder , John J. Molina , Thomas Speck , Ryoichi Yamamoto

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

The symmetry breaking of the actin network from radial to longitudinal symmetry has been identified as the major mechanism for keratocytes (fish cells) motility on solid substrate. For strong friction coefficient, the two dimensional actin…

Soft Condensed Matter · Physics 2011-02-16 M. Ben Amar , O. V. Manyuhina , G. Napoli

Coordinated movements of epithelia tissue are linked with active matter processes. We here consider the influence of curvature on the spatiotemporal arrangements and the shapes of the cells. The cells are represented by a multiphase field…

Soft Condensed Matter · Physics 2023-04-18 Lea Happel , Dennis Wenzel , Axel Voigt

Using active gel theory we study theoretically the properties of the cortical actin layer of animal cells. The cortical layer is described as a non-equilibrium wetting film on the cell membrane. The actin density is approximately constant…

Soft Condensed Matter · Physics 2013-02-21 Jean-Francois Joanny , Karsten Kruse , Jacques Prost , Sriram Ramaswamy

Pattern formation and the mechanics of a mixture of actin filaments and myosin motors that is confined by a rigid membrane is investigated. By using a coarse-grained molecular dynamics model, we demonstrate that the competition between the…

Soft Condensed Matter · Physics 2023-04-12 Mitsusuke Tarama , Tatsuo Shibata

Understanding and manipulating the interactions between foreign bodies and cell membranes during endo- and phagocytosis is of paramount importance, not only for the fate of living cells but also for numerous biomedical applications. This…

Soft Condensed Matter · Physics 2023-12-06 Stijn van der Ham , Jaime Agudo-Canalejo , Hanumantha Rao Vutukuri

Dynamically crosslinked semiflexible biopolymers such as the actin cytoskeleton govern the mechanical behavior of living cells. Semiflexible biopolymers nonlinearly stiffen in response to mechanical loads, whereas the crosslinker dynamics…

Soft Condensed Matter · Physics 2019-06-05 Yuval Mulla , F. C. MacKintosh , Gijsje H. Koenderink