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The migration of cells is relevant for processes such as morphogenesis, wound healing, and invasion of cancer cells. In order to move, single cells deform cyclically. However, it is not understood how these shape oscillations influence…

Biological Physics · Physics 2019-09-04 Matteo Campo , Simon K. Schnyder , John J. Molina , Thomas Speck , Ryoichi Yamamoto

Expanding medium is very common in many different fields, such as biology and cosmology. It brings a nonnegligible influence on particle's diffusion, which is quite different from the effect of an external force field. The dynamic mechanism…

Statistical Mechanics · Physics 2023-02-22 Xudong Wang , Yao Chen

A theoretical framework for analyzing stochastic data from single-particle tracking in complex or viscoelastic materials and under the influence of a trapping potential is presented. Starting from a generalized Langevin equation we found…

Statistical Mechanics · Physics 2010-11-22 M. A. Despósito , A. D. Viñales

The problem of biological motion is a very intriguing and topical issue. Many efforts are being focused on the development of novel modeling approaches for the description of anomalous diffusion in biological systems, such as the very…

Cells coexist together in colonies or as tissues. Their behaviour is controlled by an interplay between intercellular forces and biochemical regulation. We develop a simple model of the cell cycle, the fundamental regulatory network…

Biological Physics · Physics 2021-08-04 Jintao Li , Simon K. Schnyder , Matthew S. Turner , Ryoichi Yamamoto

Self-generated gradients have atttracted a lot of attention in the recent biological literature. It is considered as a robust strategy for a group of cells to find its way during a long journey. This note is intended to discuss various…

Analysis of PDEs · Mathematics 2021-09-15 Mete Demircigil , Vincent Calvez , Roxana Sublet

The mechanosensitivity of cells, which determines how they are able to respond to mechanical signals received from their environment, is crucial for the functioning of all biological systems. In experiments, cells placed on cyclically…

Biological Physics · Physics 2019-01-17 John J. Molina , Ryoichi Yamamoto

Anchorage-dependent cells collect information on the mechanical properties of the environment through their contractile machineries and use this information to position and orient themselves. Since the probing process is anisotropic,…

Soft Condensed Matter · Physics 2007-05-23 I. B. Bischofs , S. A. Safran , U. S. Schwarz

A recent burst of dynamic single-cell growth-division data makes it possible to characterize the stochastic dynamics of cell division control in bacteria. Different modeling frameworks were used to infer specific mechanisms from such data,…

Cell Behavior · Quantitative Biology 2017-03-22 Jacopo Grilli , Matteo Osella , Andrew S. Kennard , Marco Cosentino Lagomarsino

Discrete pedestrian simulation models are viable alternatives to particle based approaches based on a continuous spatial representation. The effects of discretisation, however, also imply some difficulties in modelling certain phenomena…

Multiagent Systems · Computer Science 2014-02-03 Stefania Bandini , Luca Crociani , Giuseppe Vizzari

Cell migration is a fundamental process for life and is highly dependent on the dynamical and mechanical properties of the cytoskeleton. Intensive physical and biochemical crosstalk between actin, microtubules, and intermediate filaments…

Biological Physics · Physics 2024-01-17 James P. Conboy , Irene Istúriz Petitjean , Anouk van der Net , Gijsje H. Koenderink

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

Locomotion is essential for living cells. It enables bacteria and algae to explore space for food, cancer to spread, and immune system to fight infections. Motile cells display trajectories of intriguing complexity, from regular (e.g.…

Soft Condensed Matter · Physics 2021-12-28 C. Misbah , M. S. Rizvi , W. F. Hu , T. S. Lin , S. Rafai , A. Farutin

Collective motion of cells is critical to some of the most vital tasks including wound healing, development, and immune response [Friedl and Gilmour 2009; Tokarski et al. 2012; Lee et al. 2012; Beltman et al. 2009], and is common to many…

Cell Behavior · Quantitative Biology 2014-07-04 Mircea Davidescu , Iain Couzin

The symmetry breaking of the actin network from radial to longitudinal symmetry has been identified as the major mechanism for keratocytes (fish cells) motility on solid substrate. For strong friction coefficient, the two dimensional actin…

Soft Condensed Matter · Physics 2011-02-16 M. Ben Amar , O. V. Manyuhina , G. Napoli

Eukaryotic cell motility is crucial during development, wound healing, the immune response, and cancer metastasis. Some eukaryotic cells can swim, but cells more commonly adhere to and crawl along the extracellular matrix. We study the…

Cell Behavior · Quantitative Biology 2019-09-02 Melissa H. Mai , Brian A. Camley

This paper deals with the adhesive interaction arising between a cell circulating in the blood flow and the vascular wall. The purpose of this work is to investigate the effect of the blood flow velocity on the cell dynamics, and in…

Analysis of PDEs · Mathematics 2019-12-13 Christèle Etchegaray , Nicolas Meunier

A dynamical systems scenario for developmental cell biology is proposed, based on numerical studies of a system with interacting units with internal dynamics and reproduction. Diversification, formation of discrete and recursive types, and…

chao-dyn · Physics 2009-10-31 Kunihiko Kaneko , Chikara Furusawa

Collective cell movement, characterized by multiple cells that are in contact for substantial periods of time and undergo correlated motion, plays a central role in cancer and embryogenesis. Recent imaging experiments have provided…

Biological Physics · Physics 2020-06-03 Sumit Sinha , Abdul N Malmi-Kakkada , Xin Li , Himadri S. Samanta , D. Thirumalai

Stochasticity is a defining feature of the pairwise forces governing interactions in biological systems-from molecular motors to cell-cell adhesion-yet its consequences on large-scale dynamics remain poorly understood. Here, we show that…

Soft Condensed Matter · Physics 2025-08-27 Henry Alston , Raphael Voituriez , Thibault Bertrand