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The response of cells during spreading and motility is dictated by several multi-physics events, which are triggered by extracellular cues and occur at different time-scales. For this sake, it is not completely appropriate to provide a cell…

Soft Condensed Matter · Physics 2020-11-26 M. Serpelloni , M. Arricca , C. Bonanno , A. Salvadori

Diffusion of colloidal particles in a complex environment such as polymer networks or biological cells is a topic of high complexity with significant biological and medical relevance. In such situations, the interaction between the…

Statistical Mechanics · Physics 2015-11-10 Andreas M. Menzel

The ability of eukaryotic cells to squeeze through constrictions is limited by the stiffness of their large and rigid nucleus. However, migrating cells are often able to overcome this limitation and pass through constrictions much smaller…

Biological Physics · Physics 2023-12-20 Sirine Amiri , Yirui Zhang , Andonis Gerardos , Cécile Sykes , Pierre Ronceray

Convergent extension of epithelial tissue is a key motif of animal morphogenesis. On a coarse scale, cell motion resembles laminar fluid flow; yet in contrast to a fluid, epithelial cells adhere to each other and maintain the tissue layer…

Biological Physics · Physics 2024-10-04 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

Living cells are soft bodies of a characteristic form, but endowed with a capacity for a steady turnover of their structures. Both of these material properties, i.e. recovery of the shape after an external stress has been imposed and…

Soft Condensed Matter · Physics 2007-05-23 Erwin Frey , Klaus Kroy , Jan Wilhelm

We develop an agent-based model of the motion and pattern formation of vesicles. These intracellular particles can be found in four different modes of (undirected and directed) motion and can fuse with other vesicles. While the size of…

Subcellular Processes · Quantitative Biology 2011-09-19 Mirko Birbaumer , Frank Schweitzer

Adhering cells actively probe the mechanical properties of their environment and use the resulting information to position and orient themselves. We show that a large body of experimental observations can be consistently explained from one…

Soft Condensed Matter · Physics 2009-11-10 I. B. Bischofs , U. S. Schwarz

Volume-filling cross-diffusion equations for the components of a tissue structure are formally derived from mass conservation laws and force balances for the interphase pressures and viscous drag forces in a multiphase approach. The…

Analysis of PDEs · Mathematics 2026-04-03 Ansgar Jüngel , Cordula Reisch , Sara Xhahysa

Reaction-diffusion systems have been proposed as a model for pattern formation and morphogenesis. The Fickian diffusion typically employed in these constructions model the Brownian motion of particles. The biological and chemical elements…

Quantitative Methods · Quantitative Biology 2023-11-09 Siddhartha Srivastava , Krishna Garikipati

A generalized continuum framework for the theory of solute transport in fluids is proposed and systematically developed. This framework rests on the introduction of a generic force balance for the solute, a balance distinct from the…

Soft Condensed Matter · Physics 2018-08-29 Eliot Fried , Shaun Sellers

Cell alignment often forms nematic order, which can lead to anomalous collective cell flow due to the so-called active force. Although it is appreciated that cell migration is driven by traction force, a quantitative evaluation of the…

Soft Condensed Matter · Physics 2024-02-27 Masahito Uwamichi , He Li , Zihui Zhao , Yisong Yao , Hideo Higuchi , Kyogo Kawaguchi , Masaki Sano

Cell invasion and spatial pattern formation are two distinct manifestations of cellular self-organisation in development, regeneration, and disease. Here, we develop and analyse a unified theoretical framework that links these two seemingly…

Tissues and Organs · Quantitative Biology 2026-04-30 Carles Falcó , Samuel W. S. Johnson , Mohit P. Dalwadi , Philip K. Maini

In many biological systems, the movement of individual agents is commonly characterized as having multiple qualitatively distinct behaviors that arise from various biophysical states. This is true for vesicles in intracellular transport,…

Subcellular Processes · Quantitative Biology 2022-07-25 Maria-Veronica Ciocanel , John Fricks , Peter R. Kramer , Scott A. McKinley

Movement of cell clusters along extracellular matrices (ECM) during tissue development, wound healing, and early stage of cancer invasion involve various inter-connected migration modes such as: (1) cell movement within clusters, (2)…

Cell Behavior · Quantitative Biology 2023-02-14 Ivana Pajic-Lijakovic , Milan Milivojevic

We study a generic model for the polarisation and motility of self-propelled soft objects, biological cells or biomimetic systems, interacting with a viscous substrate. The active forces generated by the cell on the substrate are modelled…

Soft Condensed Matter · Physics 2015-06-23 M. Leoni , P. Sens

The organization of cells within tissues plays a vital role in various biological processes, including development and morphogenesis. As a result, understanding how cells self-organize in tissues has been an active area of research. In our…

Soft Condensed Matter · Physics 2023-10-09 Kanaya Malakar , Rafael I. Rubenstein , Dapeng Bi , Bulbul Chakraborty

Morphogenetic dynamics of tissue sheets require coordinated cell shape changes regulated by global patterning of mechanical forces. Inspired by such biological phenomena, we propose a minimal mechanochemical model based on the notion that…

Soft Condensed Matter · Physics 2021-01-01 Andrei Zakharov , Kinjal Dasbiswas

The paper addresses the underlying source of two forms of induced anisotropy in granular materials: contact orientation anisotropy and contact force anisotropy. A rational, mathematical structure is reviewed for the manner in which fabric…

Soft Condensed Matter · Physics 2019-01-23 Matthew R. Kuhn

The combination of protrusions and retractions in the movement of polarized cells leads to understand the effect of possible synchronisation between the two ends of the cells. This synchronisation, in turn, could lead to different dynamics…

Cell Behavior · Quantitative Biology 2021-09-21 Gissell Estrada-Rodriguez , Benoit Perthame

Correlated velocity patterns and associated large length-scale transmission of traction forces have been observed in collective live cell migration as a response to a "wound". We argue that a simple physical model of a force-driven…

Biological Physics · Physics 2012-08-09 Tripti Bameta , Dipjyoti Das , Sumantra Sarkar , Dibyendu Das , Mandar M. Inamdar