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Based on symmetry consideration of migration and shape deformations, we formulate phenomenologically the dynamics of cell crawling in two dimensions. Forces are introduced to change the cell shape. The shape deformations induce migration of…

Biological Physics · Physics 2016-03-23 Takao Ohta , Mitsusuke Tarama , Masaki Sano

We investigate morphologies of proliferating cellular tissues using a newly developed numerical simulation model for mechanical cell division and migration in 2D. The model is applied to a bimodal mixture consisting of stiff cells with a…

Soft Condensed Matter · Physics 2021-05-26 Pranav Madhikar , Jan Åström , Björn Baumeier , Mikko Karttunen

Multiphase field models have emerged as an important computational tool for understanding biological tissue while resolving single-cell properties. While they have successfully reproduced many experimentally observed behaviors of living…

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

In tissue development, wound healing, and cancer invasion, coordinated cell motion arises from active forces produced by the cells. The relationship between force and motion remains unclear, however, because the forces result from a sum of…

Biological Physics · Physics 2025-12-17 Molly McCord , Jacob Notbohm

Biological cells sense and respond to mechanical forces, but how such a mechanosensing proccess takes place in a nonlinear inhomogeneous fibrous matrix remains unknown. We show that cells in a fibrous matrix induce deformation fields that…

Biological Physics · Physics 2015-06-10 Jacob Notbohm , Ayelet Lesman , Phoebus Rosakis , David A. Tirrell , Guruswami Ravichandran

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

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 homeostasis of epithelial tissue relies on a balance between the self-renewal of stem cell populations, cellular differentiation, and loss. Although this balance needs to be tightly regulated to avoid pathologies, such as tumor growth,…

Biological Physics · Physics 2024-04-10 Johannes C. Krämer , Edouard Hannezo , Gerhard Gompper , Jens Elgeti

A number of factors, such as, cell-cell interactions and self-propulsion of cells driven by cytoskeletal forces determine tissue morphologies and dynamics. To explore the interplay between these factors in controlling the dynamics at the…

Soft Condensed Matter · Physics 2025-05-12 Rajsekhar Das , Xin Li , Sumit Sinha , D. Thirumalai

Tissue surface tension influences cell sorting and tissue fusion. Earlier mechanical studies suggest that multicellular spheroids actively reinforce their surface tension with applied force. Here we study this open question through…

Recent progress in studying the physics of amorphous solids has revealed that mechanical strains can be strongly screened by the formation of plastic events that are typically quadrupolar in nature. The theory stipulated that gradients in…

Disordered Systems and Neural Networks · Physics 2021-11-23 Bhanu Prasad Bhowmik , Michael Moshe , Itamar Procaccia

We investigate morphologies of proliferating cellular tissue using a newly developed numerical simulation model for mechanical cell division. The model reproduces structures of simple multi-cellular organisms via simple rules for selective…

Soft Condensed Matter · Physics 2018-11-20 Pranav Madhikar , Jan Åström , Björn Baumeier , Mikko Karttunen

Mechanically active cells in soft media act as force dipoles. The resulting elastic interactions are long-ranged and favor the formation of strings. We show analytically that due to screening, the effective interaction between strings…

Soft Condensed Matter · Physics 2007-05-23 Ilka B. Bischofs , Ulrich S. Schwarz

In cell extrusion, a cell embedded in an epithelial monolayer loses its apical or basal surface and is subsequently squeezed out of the monolayer by neighboring cells. Cell extrusions occur during apoptosis, epithelial-mesenchymal…

Cell Behavior · Quantitative Biology 2020-04-24 Satoru Okuda , Koichi Fujimoto

During morphogenesis, the shape of a tissue emerges from collective cellular behaviors, which are in part regulated by mechanical and biochemical interactions between cells. Quantification of force and stress is therefore necessary to…

Tissues and Organs · Quantitative Biology 2014-02-19 K. Sugimura , Y. Bellaïche , F. Graner , P. Marcq , S. Ishihara

During growth, tissue expands and deforms. Given its elastic properties, stresses emerge in an expanding and deforming tissue. Cell rearrangements can dissipate these stresses and numerous experiments confirm the viscoelastic properties of…

Tissues and Organs · Quantitative Biology 2017-10-20 M. D. Peters , D. Iber

As the cover of embryos and adult organisms, epithelial tissues are subjected to substantial mechanical forces in tissue morphogenesis. However, the finite deformation behaviors of epithelial tissues remain largely unexplored. This study…

Biological Physics · Physics 2025-12-29 Yuan He , Shi-Lei Xue

Developing tissues often maintain mechanical coherence while continuously remodeling through cellular processes such as cell divisions and rearrangements. In this way, they are an example of amorphous solids. In passive amorphous solids,…

Soft Condensed Matter · Physics 2026-05-13 Ali Tahaei , Ahandeep Manna , Marko Popović

The behaviour and fate of tissue cells is controlled by the rigidity and geometry of their adhesive environment, possibly through forces localized to sites of adhesion. We introduce a mechanical model that predicts cellular force…

Cell Behavior · Quantitative Biology 2009-07-24 Ilka B. Bischofs , Sebastian S. Schmidt , Ulrich S. Schwarz

Animal morphogenesis often involves significant shape changes of epithelial tissue sheets. Great progress has been made in understanding the underlying cellular driving forces and their coordination through biomechanical feedback loops.…

Soft Condensed Matter · Physics 2024-09-23 Nikolas H. Claussen , Fridtjof Brauns