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We propose a continuum model for pattern formation, based on the multiphase model framework, to explore in vitro cell patterning within an extracellular matrix. We demonstrate that, within this framework, chemotaxis-driven cell migration…

Cell Behavior · Quantitative Biology 2022-11-21 Georgina Al-Badri , James B. Phillips , Rebecca J. Shipley , Nicholas C. Ovenden

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…

Collective cell migration plays an essential role in vertebrate development, yet the extent to which dynamically changing microenvironments influence this phenomenon remains unclear. Observations of the distribution of the extracellular…

Bacterial cells navigate around their environment by directing their movement along chemical gradients. This process, known as chemotaxis, can promote the rapid expansion of bacterial populations into previously unoccupied territories.…

Populations and Evolution · Quantitative Biology 2022-06-08 Avaneesh V. Narla , Jonas Cremer , Terry Hwa

Self-propelled particles undergoing persistent motion can accumulate either through excluded-volume interactions or through quorum sensing, where self-propulsion decreases at high local density. Using kinetic balance theory and simulations,…

Soft Condensed Matter · Physics 2025-12-03 L. de Souza , E. F. Teixeira , G. M. Viswanathan , P. Sollich , P. de Castro

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…

The one-dimensional crawling movement of a cell is considered in this theoretical study. Our active gel model shows that for a cell with weakly mechanosensitive adhesion complexes, as myosin contractility increases, a cell starts to move at…

Soft Condensed Matter · Physics 2023-01-05 Jen-Yu Lo , Yuan-Heng Tseng , Hsuan-Yi Chen

While it is commonly observed that the shape dynamics of mammalian cells can undergo large random fluctuations, theoretical models aiming at capturing cell mechanics often focus on the deterministic part of the motion. In this paper, we…

Biological Physics · Physics 2021-04-07 Vikram Deshpande , Antonio DeSimone , Robert McMeeking , Pierre Recho

We study how simple eukaryotic organisms make decisions in response to competing stimuli in the context of phototaxis by the unicellular alga $Chlamydomonas~reinhardtii$. While negatively phototactic cells swim directly away from a…

The interplay between cellular growth and cell-cell signaling is essential for the aggregation and proliferation of bacterial colonies, as well as for the self-organization of cell tissues. To investigate this interplay, we focus here on…

The migratory dynamics of cells in physiological processes, ranging from wound healing to cancer metastasis, rely on contact-mediated cell-cell interactions. These interactions play a key role in shaping the stochastic trajectories of…

We investigate the propagating profiles of a degenerate chemotaxis model describing the bacteria chemotaxis and consumption of oxygen by aerobic bacteria, in particular, the effect of the initial attractant distribution on bacterial…

Analysis of PDEs · Mathematics 2020-05-12 Tianyuan Xu , Shanming Ji , Ming Mei , Jingxue Yin

Cell motility in higher organisms (eukaryotes) is crucial to biological functions ranging from wound healing to immune response, and also implicated in diseases such as cancer. For cells crawling on hard surfaces, significant insights into…

Soft Condensed Matter · Physics 2015-06-24 E. Tjhung , A. Tiribocchi , D. Marenduzzo , M. E. Cates

In nature, microorganisms must often cope with hostile environmental conditions. To do so they have developed sophisticated cooperative behavior and intricate communication capabilities, such as: direct cell-cell physical interactions via…

Condensed Matter · Physics 2007-05-23 Eshel Ben-Jacob , Inon Cohen , Ido Golding , Yonathan Kozlovsky

While cell crawling on a solid surface is relatively well understood, and relies on substrate adhesion, some cells can also swim in the bulk, through mechanisms that are still largely unclear. Here, we propose a minimal model for in-bulk…

Soft Condensed Matter · Physics 2017-12-11 Thomas Le Goff , Benno Liebchen , Davide Marenduzzo

The bacterium E.Coli swims in a zig-zag manner, in a series of straight runs and tumbles occurring alternately, with the run-durations dependent on the local spatial gradient of chemo-attractants/repellants. This enables the organism to…

Cell Behavior · Quantitative Biology 2008-12-31 Melissa Reneaux , Manoj Gopalakrishnan

Active matter systems comprise self-propelled particles that move on a substrate while leaving chemical trails that influence other particles through chemotaxis (e.g., slime-depositing bacteria). Orientational chemotaxis manifests as a…

Soft Condensed Matter · Physics 2025-12-11 Aymeric Lutier , Frédéric van Wijland , Jean-Baptiste Fournier

Substrate-based cell motility is essential for fundamental biological processes, such as tissue growth, wound healing and immune response. Even if a comprehensive understanding of this motility mode remains elusive, progress has been…

Cell Behavior · Quantitative Biology 2016-05-23 Wieland Marth , Axel Voigt

Chemotaxis is the response of a particle to a gradient in the chemical composition of the environment. While it was originally observed for biological organisms, it is of great interest in the context of synthetic active particles such as…

Soft Condensed Matter · Physics 2017-05-02 Laurens Deprez , Pierre de Buyl

A general class of hybrid models has been introduced recently, gathering the advantages multiscale descriptions. Concerning biological applications, the particular coupled structure fits to collective cell migrations and pattern formation…

Numerical Analysis · Mathematics 2024-01-11 Marta Menci , Roberto Natalini , Thierry Paul
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