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We propose a two-scale model to resolve essential features of developmental tissue deformations. The model couples individual cellular behavior to the mechanics at tissue scale. This is realized by a multiphase-field model addressing the…

Soft Condensed Matter · Physics 2025-06-25 Lea Happel , Axel Voigt

Cell migration is frequently modelled using on-lattice agent-based models (ABMs) that employ the excluded volume interaction. However, cells are also capable of exhibiting more complex cell-cell interactions, such as adhesion, repulsion,…

Cell Behavior · Quantitative Biology 2023-07-26 Shahzeb Raja Noureen , Jennifer P. Owen , Richard L. Mort , Christian A. Yates

Cell migration plays essential roles in development, wound healing, diseases, and in the maintenance of a complex body. Experiments in collective cell migration generally measure quantities such as cell displacement and velocity. The…

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

A two-dimensional mathematical model for cells migrating without adhesion capabilities is presented and analyzed. Cells are represented by their cortex, which is modelled as an elastic curve, subject to an internal pressure force. Net…

Analysis of PDEs · Mathematics 2020-12-14 Gaspard Jankowiak , Diane Peurichard , Anne Reversat , Christian Schmeiser , Michael Sixt

Metastasis is a process of cell migration that can be collective and guided by chemical cues. Viewing metastasis in this way, as a physical phenomenon, allows one to draw upon insights from other studies of collective sensing and migration…

Biological Physics · Physics 2016-03-10 Julien Varennes , Andrew Mugler

Collective cell migration governs a range of physiological and pathological processes, from tissue morphogenesis to cancer invasion, in which topological defects arise as an inevitable consequence of frequent cellular rearrangement and…

Soft Condensed Matter · Physics 2026-04-01 Jiusi Zhang , Chung Wing Chan , Bo Li , Rui Zhang

Collective cell migration plays a central role in tissue development, morphogenesis, wound repair and cancer progression. With the growing realization that physical forces mediate cell motility in development and physiology, a key…

Biological Physics · Physics 2018-12-07 Shiladitya Banerjee , M. Cristina Marchetti

The organization of live cells into tissues and their subsequent biological function involves inter-cell mechanical interactions, which are mediated by their elastic environment. To model this interaction, we consider cells as spherical…

Soft Condensed Matter · Physics 2024-02-20 Roman Golkov , Yair Shokef

Chemotaxis and haptotaxis have been a main theme in the macroscopic study of bacterial and cellular motility. In this work we investigate the influence these processes have on the shape and motility of fast migrating cells. We note that…

Cell Behavior · Quantitative Biology 2016-12-08 Aaron Brunk , Niklas Kolbe , Nikolaos Sfakianakis

The construction of a network of cell-to-cell contacts makes it possible to characterize the patterns and spatial organisation of tissues. Such networks are highly dynamic, depending on the changes of the tissue architecture caused by cell…

Tissues and Organs · Quantitative Biology 2013-06-25 Attila Csikász-Nagy , Luis M. Escudero , Martial Guillaud , Sean Sedwards , Buzz Baum , Matteo Cavaliere

Cell shape is an important biomarker that is directly linked to cell function. However, cell morphodynamics, namely the temporal fluctuation of cell shape is much less understood. We study the morphodynamics of MDA-MB-231 cells in type I…

Cell Behavior · Quantitative Biology 2019-04-10 Christopher Z. Eddy , Xinyao Wang , Fuxin Li , Bo Sun

The formation of self-organized patterns is key to the morphogenesis of multicellular organisms, although a comprehensive theory of biological pattern formation is still lacking. Here, we propose a minimal model combining tissue mechanics…

Biological Physics · Physics 2022-06-08 P. Recho , A. Hallou , E. Hannezo

Cell migration is essential for regulating many biological processes in physiological or pathological conditions, including embryonic development and cancer invasion. In vitro and in silico studies suggest that collective cell migration is…

Migration of cells can be characterized by two, prototypical types of motion: individual and collective migration. We propose a statistical-inference approach designed to detect the presence of cell-cell interactions that give rise to…

Cell Behavior · Quantitative Biology 2020-03-13 Elena Agliari , Pablo J. Sáez , Adriano Barra , Matthieu Piel , Pablo Vargas , Michele Castellana

Collectively coordinated cell migration plays a role in tissue embryogenesis, cancer, homeostasis and healing. To study these processes, different cell-based modelling approaches have been developed, ranging from lattice-based cellular…

Soft Condensed Matter · Physics 2023-05-19 Carine P. Beatrici , Cassio A. Kirch , Silke Henkes , François Graner , Leonardo G. Brunnet

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 behaviour of an organism often reflects a strategy for coping with its environment. Such behaviour in higher organisms can often be reduced to a few stereotyped modes of movement due to physiological limitations, but finding such modes…

Cell Behavior · Quantitative Biology 2013-08-26 Luke Tweedy , Börn Meier , Jürgen Stephan , Doris Heinrich , Robert G. Endres

Cell migration is crucial to many physiological and pathological processes. During migration, a cell adapts its morphology, including the overall morphology and nucleus morphology, in response to various cues in complex microenvironments,…

Biological Physics · Physics 2023-08-28 Yanping Liu , Yang Jiao , Qihui Fan , Xinwei Li , Zhichao Liu , Jun Hu , Jianwei Shuai , Liyu Liu , Zhangyong Li

Migratory and tissue resident cells exhibit highly branched morphologies to perform their function and to adapt to the microenvironment. Immune cells, for example, display transient branched shapes while exploring the surrounding tissues.…

Biological Physics · Physics 2024-04-02 Jiayi Liu , Javier Boix-Campos , Jonathan E. Ron , Johan M. Kux , Nir S. Gov , Pablo J. Sáez
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