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The reaction-diffusion waves of proteins are known to be involved in fundamental cellular functions, such as cell migration, cell division, and vesicular transportation. In some of these phenomena, pattern formation on the membranes is…

Soft Condensed Matter · Physics 2021-07-16 Naoki Tamemoto , Hiroshi Noguchi

Near-field hydrodynamic interactions between bacteria and no-slip solid surfaces are the main mechanism underlying surface entrapment of bacteria. In this study, we employ a chiral two-body model to simulate bacterial dynamics near the…

Soft Condensed Matter · Physics 2026-02-25 Baopi Liu , Lu Chen , Haiqin Wang

Swimming cells and microorganisms must often move though complex fluids that contain an immersed microstructure such as polymer molecules, or filaments. In many important biological processes, such as mammalian reproduction and bacterial…

Fluid Dynamics · Physics 2018-08-06 Arshad Kamal , Eric E Keaveny

Growth patterns generated by filamentous organisms (e.g. actinomycetes and fungi) involve spatial and temporal dynamics at different length scales. Several mathematical models have been proposed in the last thirty years to address these…

Populations and Evolution · Quantitative Biology 2007-05-23 Michele Bezzi , Andrea Ciliberto

Bacteria can spontaneously develop collective motions by aligning their motions in dense systems. Here, we show that bacteria can also respond collectively to an alternating electrical field and form dynamic clusters oscillating at the same…

Soft Condensed Matter · Physics 2022-10-11 Mei Mei Bao , Isaiah Eze Igwe , Kang Chen , Tian Hui Zhang

The field of active matter explores the behaviors of self propelled agents out of equilibrium, with active suspensions, such as swimming bacteria in solutions, serving as impactful models. These systems exhibit spatio-temporal patterns akin…

Soft Condensed Matter · Physics 2025-08-26 Pratikshya Jena , Shradha Mishra

We consider a hydrodynamic model of swarming behavior derived from the kinetic description of a particle system combining a noisy Cucker-Smale consensus force and self-propulsion. In the large self-propulsion force limit, we provide…

Analysis of PDEs · Mathematics 2012-07-10 Alethea B. T. Barbaro , Pierre Degond

A diffusion-reaction model for the growth of bacterial colonies is presented. The often observed cooperative behavior developed by bacteria which increases their motility in adverse growth conditions is here introduced as a nonlinear…

Condensed Matter · Physics 2009-10-31 A. M. Lacasta , I. R. Cantalapiedra , C. E. Auguet , A. Penaranda , L. Ramirez-Piscina

We introduce a system of bacteria confined to a finite 2D oil-water interface and driven on two distinct time scales by motility and by growth. The combined effect of activity on different time scales creates transitions between several…

Soft Condensed Matter · Physics 2023-06-28 Blake Langeslay , Gabriel Juarez

We use state-of-the-art molecular dynamics simulations to study hydrodynamic effects on aging during kinetics of phase separation in a fluid mixture. The domain growth law shows a crossover from a diffusive regime to a viscous hydrodynamic…

Statistical Mechanics · Physics 2015-06-12 Shaista Ahmad , Federico Corberi , Subir K. Das , Eugenio Lippiello , Sanjay Puri , Marco Zannetti

We study self-propelled particles with velocity reversal interacting by uniaxial (nematic) alignment within a coarse-grained hydrodynamic theory. Combining analytical and numerical continuation techniques, we show that the physics of this…

Statistical Mechanics · Physics 2016-11-30 Robert Großmann , Fernando Peruani , Markus Bär

Microbes are everywhere, including in and on our bodies, and have been shown to play key roles in a variety of prevalent human diseases. Consequently, there has been intense interest in the design of bacteriotherapies or "bugs as drugs,"…

Machine Learning · Statistics 2020-04-13 Travis E. Gibson , Georg K. Gerber

Many mathematical models for biological phenomena, such as the spread of diseases, are based on reaction-diffusion equations for densities of interacting cell populations. We present a consistent derivation of reaction-diffusion equations…

Analysis of PDEs · Mathematics 2026-02-23 Marzia Bisi , Davide Cusseddu , Ana Jacinta Soares , Romina Travaglini

The intestinal microbiota plays important roles in digestion and resistance against entero-pathogens. As with other ecosystems, its species composition is resilient against small disturbances but strong perturbations such as antibiotics can…

Quantitative Methods · Quantitative Biology 2015-06-04 Vanni Bucci , Serena Bradde , Giulio Biroli , Joao B. Xavier

In this paper we present a hydrodynamic approach to describe the motion of migrating bacteria as a special class of self-propelled systems. Analytical and numerical calculations has been performed to study the behavior of our model in the…

Soft Condensed Matter · Physics 2015-06-25 Zoltan Csahok , Andras Czirok

The development of multicellular organisms proceeds through a series of morphogenetic and cell-state transitions, transforming homogeneous zygotes into complex adults by a process of self-organization. Many of these transitions are achieved…

Tissues and Organs · Quantitative Biology 2020-07-08 Jake Cornwall Scoones , Deb Sankar Banerjee , Shiladitya Banerjee

We consider an interacting particle system proposed in the literature to model fish behavior. In this model, the agents move at constant speed and control the curvature of their trajectory (i.e. the time-derivative of their velocity) so as…

Analysis of PDEs · Mathematics 2025-12-03 Pierre Degond , Antoine Diez , Amic Frouvelle

We present a generic mechanism by which reproducing microorganisms, with a diffusivity that depends on the local population density, can form stable patterns. It is known that a decrease of swimming speed with density can promote separation…

Populations and Evolution · Quantitative Biology 2010-07-13 M. E. Cates , D. Marenduzzo , I. Pagonabarraga , J. Tailleur

Recent research has shown that motile cells can adapt their mode of propulsion depending on the environment in which they find themselves. One mode is swimming by blebbing or other shape changes, and in this paper we analyze a class of…

Fluid Dynamics · Physics 2016-10-10 Qixuan Wang , Hans G. Othmer

The run-and-tumble (RT) dynamics followed by bacterial swimmers gives rise first to a ballistic motion due to their persistence, and later, through consecutive tumbles, to a diffusive process. Here we investigate how long it takes for a…

Soft Condensed Matter · Physics 2020-07-01 Andrea Villa-Torrealba , Cristóbal Chávez Raby , Pablo de Castro , Rodrigo Soto