English
Related papers

Related papers: Mathematical model for collective migration on a v…

200 papers

Cells move differently on substrates with different elasticities. In particular, the persistence time of their motion is higher on stiffer substrates. We show that this behavior will result in a net transport of cells directed up a…

Biological Physics · Physics 2017-03-09 Elizaveta A. Novikova , Matthew Raab , Dennis E. Discher , Cornelis Storm

A number of biological processes, such as embryo development, cancer metastasis or wound healing, rely on cells moving in concert. The mechanisms leading to the emergence of coordinated motion remain however largely unexplored. Although…

Cell Behavior · Quantitative Biology 2011-08-23 Alexandre J Kabla

Granular materials are inherently out-of-equilibrium systems due to energy dissipation through inelastic collisions and friction. When driven by mechanical agitation such as vibration, they exhibit rich collective behaviors including…

Soft Condensed Matter · Physics 2026-05-01 Kai Kono , Hiroyuki Ebata , Shio Inagaki

Monitoring small groups of sheep in spontaneous evolution in the field, we decipher behavioural rules that sheep follow at the individual scale in order to sustain collective motion. Individuals alternate grazing mode at null speed and…

Pattern Formation and Solitons · Physics 2018-12-27 Manon Azaïs , Stéphane Blanco , Richard Bon , Richard Fournier , Marie-Hélène Pillot , Jacques Gautrais

In the absence of environmental cues, a migrating cell performs an isotropic random motion. Recently, the breaking of this isotropy has been observed when cells move in the presence of asymmetric adhesive patterns. However, up to now the…

Soft Condensed Matter · Physics 2015-06-17 M. Le Berre , Yan-Jun Liu , J. Hu , P. Maiuri , O. Bénichou , R. Voituriez , Y. Chen , M. Piel

Recent experiments suggest that the interplay between cells and the mechanics of their substrate gives rise to a diversity of morphological and migrational behaviors. Here, we develop a Cellular Potts Model of polarizing cells on a…

Numerous problems in development, regeneration, and disease involve simultaneous evolution of both spatial organization and the internal state of the constituents in addition to local interactions and crowding. This motivates us to study a…

Soft Condensed Matter · Physics 2026-04-09 Yagyik Goswami

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

Mesenchymal motion describes the movement of cells in biological tissues formed by fiber networks. An important example is the migration of tumor cells through collagen networks during the process of metastasis formation. We investigate the…

Analysis of PDEs · Mathematics 2015-03-13 Thomas Hillen , Peter Hinow , Zhi-An Wang

Birds in a flock move in a correlated way, resulting in large polarization of velocities. A good understanding of this collective behavior exists for linear motion of the flock. Yet observing actual birds, the center of mass of the group…

The response of cell populations to external stimuli plays a central role in biological mechanical processes such as epithelial wound healing and developmental morphogenesis. Wave-like propagation of a signal of ERK MAP kinase has been…

Multicellular collective migration is a ubiquitous strategy of cells to translocate spatially in diverse tissue environments to accomplish a wide variety of biological phenomena, viz. embryonic development, wound healing, and tumor…

Cell Behavior · Quantitative Biology 2022-01-20 Ushasi Roy , Tyler Collins , Mohit K. Jolly , Parag Katira

This study investigates the use of global control strategies to enhance the directed migration of swarms of interacting self-propelled particles confined in a channel. Uncontrolled dynamics naturally leads to wall accumulation, clogging,…

Soft Condensed Matter · Physics 2025-12-03 Chiara Calascibetta , Laëtitia Giraldi , Jérémie Bec

We study the dynamics of membrane vesicle motor transport into dendritic spines, which are bulbous intracellular compartments in neurons that play a key role in transmitting signals between neurons. We consider the stochastic analog of the…

Subcellular Processes · Quantitative Biology 2022-05-17 Youngmin Park , Prashant Singh , Thomas G. Fai

While the collective motion of active particles has been studied extensively, effective strategies to navigate particle swarms without external guidance remain elusive. We introduce a method to control the trajectories of two-dimensional…

Soft Condensed Matter · Physics 2023-08-28 Sophie Y. Lee , Philipp W. A. Schönhöfer , Sharon C. Glotzer

We have recorded the swarming-like collective migration of a large number of keratocytes (tissue cells obtained from the scales of goldfish) using long-term videomicroscopy. By increasing the overall density of the migrating cells, we have…

Cell Behavior · Quantitative Biology 2009-11-13 Balint Szabo , Gergely J. Szollosi , Balazs Gonci , Zsofi Juranyi , David Selmeczi , Tamas Vicsek

The main purpose of this work is the mathematical modelling of large populations of cells under different deterministic interactions among themselves, in balance with naturally random diffusion. We focus on cell-cell adhesion mechanisms for…

Analysis of PDEs · Mathematics 2025-03-19 Carlo Giambiagi Ferrari , Francisco Guillen-Gonzalez , Mayte Perez-Llanos , Antonio Suarez

Collective cell migration is a multicellular phenomenon that arises in various biological contexts, including cancer and embryo development. "Collectiveness" can be promoted by cell-cell interactions such as co-attraction and contact…

Cell Behavior · Quantitative Biology 2023-10-03 Viktoria Freingruber , Kevin J. Painter , Mariya Ptashnyk , Linus Schumacher

Migration of animal cells is based on the interplay between actin polymerization at the front, adhesion along the cell-substrate interface, and actomyosin contractility at the back. Active gel theory has been used before to demonstrate that…

Cell Behavior · Quantitative Biology 2024-12-11 Valentin Wössner , Oliver M. Drozdowski , Falko Ziebert , Ulrich S. Schwarz

We show from experiments and simulations on vibration-activated granular matter that self-propelled polar rods in an elastic medium on a substrate turn and move towards each other. We account for this effective attraction through a…

Soft Condensed Matter · Physics 2022-06-08 Rahul Kumar Gupta , Raushan Kant , Harsh Soni , A. K. Sood , Sriram Ramaswamy