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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

The run and tumble motions of a swimming bacterium are well characterized by two stochastic variables: the speed $v(t)$ and the change of direction or deflection \mbox{$x(t)=\cos\varphi(t)$}, where $\varphi(t)$ is the turning angle at time…

Soft Condensed Matter · Physics 2018-02-02 G. Fier , D. Hansmann , R. C. Buceta

Magnetotactic bacteria moving on circular orbits form hydrodynamically bound states. When close to a surface and with the tilting of the field in a direction close to the perpendicular to this surface these swarms move perpendicularly to…

Soft Condensed Matter · Physics 2017-07-11 K. Bente , G. Kitenbergs , D. Kriman , K. Erglis , M. Belovs , D. Faivre , A. Cebers

Eukaryotic cells and intracellular pathogens such as bacteria or viruses utilize the actin polymerization machinery to propel themselves forward. Thereby, the onset of motion and choice of direction may be the result of a spontaneous…

Soft Condensed Matter · Physics 2009-09-04 Karin John , Denis Caillerie , Philippe Peyla , Mourad Ismail , Annie Raoult , Jacques Prost

This study systematically investigates the dynamics of the bacterial transition from free-swimming to surface adhesion, a process characterized by both height $h$ and inclination angle $\Psi$. The surface entrapment process is divided into…

Soft Condensed Matter · Physics 2025-06-25 Baopi Liu , Bowen Jin , Ning An

The effect of curvature and how it induces and enhances the transport of colloidal particles driven through narrow channels represent an unexplored research avenue. Here we combine experiments and simulations to investigate the dynamics of…

During the past century, biologists and mathematicians investigated two mechanisms underlying bacteria motion: the run phase during which bacteria move in straight lines and the tumble phase in which they change their orientation. When…

Analysis of PDEs · Mathematics 2025-05-19 Alain Blaustein

Hypothesis: Bacterial contamination of surfaces poses a major threat to public health. Designing effective antibacterial or self-cleaning surfaces requires understanding how bacteria-laden droplets interact with solid substrates and how…

Soft Condensed Matter · Physics 2025-10-29 Sirshendu Misra , Sudip Shyam , Priyam Chakraborty , Sushanta K. Mitra

The collective motion of bacterial cells in a shallow circular pool is systematically studied using the bacterial species $Bacillus$ $subtilis$. The ratio of cell length to pool diameter (i.e., the reduced cell length) ranges from 0.06 to…

Biological Physics · Physics 2015-10-06 Jun-ichi Wakita , Shota Tsukamoto , Ken Yamamoto , Makoto Katori , Yasuyuki Yamada

The twisting and writhing of a cell body and associated mechanical stresses is an underappreciated constraint on microbial self-propulsion. Multi-flagellated bacteria can even buckle and writhe under their own activity as they swim through…

Soft Condensed Matter · Physics 2023-09-25 Wilson Lough , Douglas B. Weibel , Saverio E. Spagnolie

T cells use sophisticated shape dynamics (morphodynamics) to migrate towards and neutralise infected and cancerous cells. However, there is limited quantitative understanding of the migration process in 3D extracellular matrices (ECMs) and…

Biological Physics · Physics 2022-04-11 Henry Cavanagh , Daryan Kempe , Jessica K. Mazalo , Maté Biro , Robert G. Endres

{\sl Escherichia coli} ({\sl E. coli}) bacteria govern their trajectories by switching between running and tumbling modes as a function of the nutrient concentration they experienced in the past. At short time one observes a drift of the…

Statistical Mechanics · Physics 2011-12-08 Sakuntala Chatterjee , Rava Azeredo da Silveira , Yariv Kafri

Bacteria predate plants and animals by billions of years. Today, they are the world's smallest cells yet they represent the bulk of the world's biomass, and the main reservoir of nutrients for higher organisms. Most bacteria can move on…

Fluid Dynamics · Physics 2016-01-20 Eric Lauga

Previously published experimental work by other authors has shown that certain motile marine bacteria are able to track free swimming algae by executing a zigzag path and steering toward the algae at each turn. Here, we propose that the…

Cell Behavior · Quantitative Biology 2008-06-05 Janos Tobias Locsei , Timothy J Pedley

How systems are endowed with migration capacity is a fascinating question with implications ranging from the design of novel active systems to the control of microbial populations. Bacteria, which can be found in a variety of environments,…

Biological Physics · Physics 2017-07-03 Marc Hennes , Julien Tailleur , Gaëlle Charron , Adrian Daerr

E. coli bacteria swim following a run and tumble pattern. In the run state all flagella join in a single helical bundle that propels the cell body along approximately straight paths. When one or more flagellar motors reverse direction the…

Soft Condensed Matter · Physics 2015-07-01 S. Bianchi , F. Saglimbeni , A. Lepore , R. Di Leonardo

Locomotion of bacteria by actin polymerization, and in vitro motion of spherical beads coated with a protein catalyzing polymerization, are examples of active motility. Starting from a simple model of forces locally normal to the surface of…

Statistical Mechanics · Physics 2009-11-10 Allen Lee , Ha Youn Lee , Mehran Kardar

The migratory dynamics of cells can be influenced by the complex micro-environment through which they move. It remains unclear how the motility machinery of confined cells responds and adapts to their micro-environment. Here, we propose a…

Biological Physics · Physics 2023-12-04 Johannes Flommersfeld , Stefan Stöberl , Omar Shah , Joachim O. Rädler , Chase P. Broedersz

Kinetic-transport equations are, by now, standard models to describe the dynamics of populations of bacteria moving by run-and-tumble. Experimental observations show that bacteria increase their run duration when encountering an increasing…

Analysis of PDEs · Mathematics 2015-03-16 Benoît Perthame , Min Tang , Nicolas Vauchelet

Many chemotactic bacteria inhabit environments in which chemicals appear as localized pulses and evolve by processes such as diffusion and mixing. We show that, in such environments, physical limits on the accuracy of temporal gradient…

Biological Physics · Physics 2016-01-19 Andrew M. Hein , Douglas R. Brumley , Francesco Carrara , Roman Stocker , Simon A. Levin