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The phenomenological model for cell shape deformation and cell migration (Chen et.al. 2018; Vermolen and Gefen 2012) is extended with the incorporation of cell traction forces and the evolution of cell equilibrium shapes as a result of cell…

Cell Behavior · Quantitative Biology 2021-04-27 Qiyao Peng , Fred Vermolen , Daphne Weihs

Suspensions of swimming micro-organisms provide examples of coordinated active dynamics. That has stimulated the study of a phenomenological theory combining synchronization and polar order in active matter. Here, we consider another…

Soft Condensed Matter · Physics 2019-04-08 M. Leoni

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

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

Adhesive cell-substrate interactions are crucial for cell motility and are responsible for the necessary traction that propels cells. These interactions can also change the shape of the cell, analogous to liquid droplet wetting on adhesive…

The motility of a fish keratocyte on a flat substrate exhibits two distinct regimes: the non-migrating and the migrating one. In both configurations the shape is fixed in time and, when the cell is moving, the velocity is constant in…

Cell Behavior · Quantitative Biology 2016-06-29 Davide Ambrosi , Anna Zanzottera

Collective cell migration is a key driver of embryonic development, wound healing, and some types of cancer invasion. Here we provide a physical perspective of the mechanisms underlying collective cell migration. We begin with a catalogue…

Biological Physics · Physics 2019-10-08 Ricard Alert , Xavier Trepat

How the cells break symmetry and organize their edge activity to move directionally is a fun- damental question in cell biology. Physical models of cell motility commonly rely on gradients of regulatory factors and/or feedback from the…

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

The capability of cells to form surface extensions to non-locally probe the surrounding environment plays a key role in cell migration. The existing mathematical models for migration of cell populations driven by this non-local form of…

Cell Behavior · Quantitative Biology 2025-12-24 Tommaso Lorenzi , Nadia Loy , Chiara Villa

Recent research has shown that motile cells can adapt their mode of propulsion to the mechanical properties of the environment in which they find themselves--crawling in some environments while swimming in others. The latter can involve…

Biological Physics · Physics 2018-05-24 Hao Wu , Marco Avila Ponce de Leon , Hans G. Othmer

We propose a mechanism of cell motility which is based on contraction and does not require protrusion. The contraction driven translocation of a cell is due to internal flow of the cytoskeleton generated by molecular motors. Each motor…

Biological Physics · Physics 2013-02-19 Pierre Recho , Thibault Putelat , Lev Truskinovsky

The conditions under which biological cells switch from a static to a motile state are fundamental to the understanding of many healthy and pathological processes. In this paper, we show that even in the presence of a fully symmetric…

Biological Physics · Physics 2024-01-12 Jocelyn Étienne , Pierre Recho

The directed migration of cells toward stiffer substrate regions or durotaxis is relevant to tissue development and tumor progression. Here, we introduce a phenomenological model for single cell durotaxis that incorporates both elastic…

Soft Condensed Matter · Physics 2024-12-24 Subhaya Bose , Haiqin Wang , Xinpeng Xu , Arvind Gopinath , Kinjal Dasbiswas

We present a deformation-dependent propulsion phenomenon for soft particles such as cells in microchannels. It is based on a broken time reversal symmetry generated by a fast forward and slow backward motion of a fluid which does not…

Soft Condensed Matter · Physics 2022-02-22 Winfried Schmidt , Andre Förtsch , Matthias Laumann , Walter Zimmermann

The motility of adherent eukaryotic cells is driven by the dynamics of the actin cytoskeleton. Despite the common force-generating actin machinery, different cell types often show diverse modes of locomotion that differ in their shape…

Biological Physics · Physics 2022-07-15 T. Moldenhawer , E. Moreno , D. Schindler , S. Flemming , M. Holschneider , W. Huisinga , S. Alonso , C. Beta

T1 transitions, which are localised cell rearrangements, play an important role in the fluidization of epithelial monolayers. Using a multi-phase field model and an active elastic solid model, we show that although each cell undergoes T1…

Biological Physics · Physics 2025-02-11 Harish P. Jain , Richard D. J. G. Ho , Luiza Angheluta

Cells can show not only spontaneous movement but also tactic responses to environmental signals. Since the former can be regarded as the basis to realize the latter, playing essential roles in various cellular functions, it is important to…

Cell Behavior · Quantitative Biology 2015-05-13 Hiroaki Takagi , Masayuki J. Sato , Toshio Yanagida , Masahiro Ueda

Confluent cell monolayers and epithelia tissues show remarkable patterns and correlations in structural arrangements and actively-driven collective flows. We simulate these properties using multiphase field models. The models are based on…

Soft Condensed Matter · Physics 2021-12-08 Dennis Wenzel , Axel Voigt

Numerous physical models have been proposed to explain how cell motility emerges from internal activity, mostly focused on how crawling motion arises from internal processes. Here we offer a classification of self-propulsion mechanisms…

Soft Condensed Matter · Physics 2020-03-05 Aurore Loisy , Jens Eggers , Tanniemola B. Liverpool