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Left-right axis specification establishes embryonic laterality through asymmetric signaling cascades originating at the cellular scale. We previously reported the presence of a directionality bias in confined pairs of endothelial (and…

Cell Behavior · Quantitative Biology 2026-03-31 Egun Im , Ghina Badih , Laetitia Kurzawa , Andreas Buttenschön , Calina Copos

Cellular decision making allows cells to assume functionally different phenotypes in response to microenvironmental cues, without genetic change. It is an open question, how individual cell decisions influence the dynamics at the tissue…

Cells move by run and tumble, a kind of dynamics in which the cell alternates runs over straight lines and re-orientations. This erratic motion may be influenced by external factors, like chemicals, nutrients, the extra-cellular matrix, in…

Cell Behavior · Quantitative Biology 2019-07-02 Nadia Loy , Luigi Preziosi

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

Cell migration is closely linked to cell shape, yet cell size is often assumed to remain constant. This assumption is challenged by recent experiments showing that cells undergo volume loss during spreading and swelling upon activation,…

Biological Physics · Physics 2025-05-28 Jonathan E. Ron , Ram M. Adar

As motivated by studies of cellular motility driven by spatiotemporal chemotactic gradients in microdevices, we develop a framework for constructing approximate analytical solutions for the location, speed and cellular densities for cell…

Analysis of PDEs · Mathematics 2022-11-09 Jacobo Ayensa-Jiménez , Mohamed H. Doweidar , Manuel Doblaré , Eamonn A. Gaffney

Amoeboid cell migration is characterized by frequent changes of the direction of motion and resembles a persistent random walk on long time scales. Although it is well known that cell migration is typically driven by the actin cytoskeleton,…

Biological Physics · Physics 2021-06-09 Nicolas Ecker , Karsten Kruse

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 movement of organisms and cells can be governed by occasional long distance runs, according to an approximate L\'evy walk. For T cells migrating through chronically-infected brain tissue, runs are further interrupted by long pauses, and…

Biological Physics · Physics 2020-03-06 Gissell Estrada-Rodriguez , Heiko Gimperlein , Kevin J. Painter , Jakub Stocek

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

The analysis of glioblastoma (GB) cell locomotion and its modeling inspired by Levy random walks is presented herein. We study such walks occurring on a two-dimensional plane where the walk is similar to the motion of a bird flying with a…

We study a phenomenological electropermeabilization model in a periodic medium representing biological tissue. Starting from a cell-level model describing the electric potential and the degree of porosity, we perform dimension analysis to…

Analysis of PDEs · Mathematics 2026-02-03 Tobias Gebäck , Ioanna Motschan-Armen , Irina Pettersson

In this paper we analyse a previously proposed cell-based model of glioblastoma (brain tumour) growth, which is based on the assumption that the cancer cells switch phenotypes between a proliferative and motile state (Gerlee and Nelander,…

Tissues and Organs · Quantitative Biology 2017-02-20 Philip Gerlee , Sven Nelander

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

How cells move through the three-dimensional extracellular matrix (ECM) is of increasing interest in attempts to understand important biological processes such as cancer metastasis. Just as in motion on flat surfaces, it is expected that…

Biological Physics · Physics 2017-09-15 Yunsong Zhang , Jingchen Feng , Shay I. Heizler , Herbert Levine

Recent observations demonstrate that densely packed tissues exhibit features of glassy dynamics, such as caging behavior and dynamical heterogeneities, although it has remained unclear how single-cell properties control this behavior. Here…

Soft Condensed Matter · Physics 2014-02-19 Dapeng Bi , J. H. Lopez , J. M. Schwarz , M. Lisa Manning

Collective cell migration plays a crucial role in numerous biological processes, including tumour growth, wound healing, and the immune response. Often, the migrating population consists of cells with various different phenotypes. This…

Populations and Evolution · Quantitative Biology 2025-04-01 Rebecca M. Crossley , Philip K. Maini , Ruth E. Baker

Exocytosis is a fundamental process related to the information exchange in the nervous and endocrine system. Among the various techniques, vesicle impact electrochemical cytometry (VIEC) has emerged as an effective method to mimic the…

Subcellular Processes · Quantitative Biology 2024-10-10 Sundeep Kapila , Pradeep R. Nair

We consider a partial differential equation model for the growth of heterogeneous cell populations subdivided into multiple distinct discrete phenotypes. In this model, cells preferentially move towards regions where they feel less…

Analysis of PDEs · Mathematics 2025-04-04 José A. Carrillo , Tommaso Lorenzi , Fiona R. Macfarlane

We propose a novel mechanism of cell motility, which relies on the coupling of actin polymerization at the cell membrane to geometric confinement. We consider a polymerizing viscoelastic cytoskeletal gel confined in a narrow channel, and…

Soft Condensed Matter · Physics 2009-02-13 R. J. Hawkins , M. Piel , G. Faure-Andre , A. M. Lennon-Dumenil , J. F. Joanny , J. Prost , R. Voituriez
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