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In this paper we develop a field-theoretic description for run and tumble chemotaxis, based on a density functional description of crystalline materials modified to capture orientational ordering. We show that this framework, with its…

Soft Condensed Matter · Physics 2021-03-10 Purba Chatterjee , Nigel Goldenfeld

We discuss recent progress in the theoretical description of chemotaxis by coupling the diffusion equation of a chemical species to equations describing the motion of sensing microorganisms. In particular, we discuss models for…

Soft Condensed Matter · Physics 2019-02-05 B. Liebchen , H. Löwen

The ability to navigate and interact with complex environments is central to real-world embodied agents, yet navigation in unseen environments remains challenging due to "experiential amnesia," where existing trajectory-driven or reactive…

The impact of rotation on the bio-convective instability in a phototactic algal suspension is investigated through a linear stability analysis in this article. The study primarily focuses on the suspension's phototactic behavior, which…

Dynamical Systems · Mathematics 2023-06-27 S. K. Rajput

Living organisms have developed advanced motion strategies for efficient space exploration, serving as inspiration for the movements of microrobots. These real-life strategies often involve anomalous dynamics displaying random movement…

Soft Condensed Matter · Physics 2025-11-06 Alessia Gentili , Rainer Klages , Giorgio Volpe

We simulate by lattice Boltzmann the nonequilibrium steady states of run-and-tumble particles (inspired by a minimal model of bacteria), interacting by far-field hydrodynamics, subject to confinement. Under gravity, hydrodynamic…

Statistical Mechanics · Physics 2010-07-01 R. W. Nash , R. Adhikari , J. Tailleur , M. E. Cates

Despite the progress in legged robotic locomotion, autonomous navigation in unknown environments remains an open problem. Ideally, the navigation system utilizes the full potential of the robots' locomotion capabilities while operating…

Robotics · Computer Science 2023-02-15 Jonas Frey , David Hoeller , Shehryar Khattak , Marco Hutter

Torque-driven microscale swimming robots, or microrotors, hold significant potential in biomedical applications such as targeted drug delivery, minimally invasive surgery, and micromanipulation. This paper addresses the challenge of…

Optimization and Control · Mathematics 2024-09-10 Jake Buzhardt , Phanindra Tallapragada

Most of our understanding of bacterial chemotaxis comes from studies of Escherichia coli. However, recent evidence suggests significant departures from the E. coli paradigm in other bacterial species. This variation may stem from different…

Cell Behavior · Quantitative Biology 2015-03-27 Martin Godány , Bhavin S. Khatri , Richard A. Goldstein

Many transport processes in nature take place on substrates, often considered as unidimensional lanes. These unidimensional substrates are typically non-static: affected by a fluctuating environment, they can undergo conformational changes.…

Statistical Mechanics · Physics 2013-01-11 Francesco Turci , Andrea Parmeggiani , Estelle Pitard , M. Carmen Romano , Luca Ciandrini

Complex or hostile environments can sometimes inhibit the movement capabilities of diffusive particles or active swimmers, who may thus become stuck in fixed positions. This occurs, for example, in the adhesion of bacteria to surfaces at…

Statistical Mechanics · Physics 2024-01-12 Luca Angelani

Guiding active motion is important for targeted delivery, sensing, and search tasks. Many active systems exhibit circular swimming, ubiquitous in chemical, physical, and biological systems, that biases motion and reduces transport…

Soft Condensed Matter · Physics 2026-02-26 Amir Shee

We show that transport in the presence of entropic barriers exhibits peculiar characteristics which makes it distinctly different from that occurring through energy barriers. The constrained dynamics yields a scaling regime for the particle…

Statistical Mechanics · Physics 2009-11-11 D. Reguera , G. Schmid , P. S. Burada , J. M. Rubí , P. Hänggi

The study of active matter consisting of many self-propelled (active) swimmers in an imposed flow is important for many applications. Self-propelled swimmers may represent both living and artificial ones such as bacteria and chemically…

Soft Condensed Matter · Physics 2019-03-19 Leonid Berlyand , Pierre-Emmanuel Jabin , Mykhailo Potomkin , Elzbieta Ratajczyk

The navigation of micro-robots in complex flow environments is controlled by rheotaxis, the reorientation with respect to flow gradients. Here we demonstrate how payloads can be exploited to enhance the motion against flows. Using fully…

Soft Condensed Matter · Physics 2024-03-26 Abdallah Daddi-Moussa-Ider , Maciej Lisicki , Arnold J. T. M. Mathijssen

Marine microorganisms must cope with complex flow patterns and even turbulence as they navigate the ocean. To survive they must avoid predation and find efficient energy sources. A major difficulty in analysing possible survival strategies…

Fluid Dynamics · Physics 2022-11-29 J. Qiu , N. Mousavi , K. Gustavsson , C. Xu , B. Mehlig , L. Zhao

Organisms often swim through density stratified fluids. In this Letter, we investigate the dynamics of small active particles swimming in density gradients and report theoretical evidence of taxis as a result of density stratification…

Soft Condensed Matter · Physics 2023-08-02 Vaseem A. Shaik , Gwynn J. Elfring

Research on untethered micro-swimming robots is growing fast owing to their potential impact on minimally invasive medical procedures. Candidate propulsion mechanisms of robots are based on flagellar mechanisms of microorganisms such as…

Fluid Dynamics · Physics 2017-10-20 Ahmet Fatih Tabak , Serhat Yesilyurt

We develop a general hydrodynamic theory describing a system of interacting actively propelling particles of arbitrary shape suspended in a viscous fluid. We model the active part of the particle motion using a slip velocity prescribed on…

Fluid Dynamics · Physics 2019-01-15 Bhargav Rallabandi , Fan Yang , Howard A. Stone

Aerotaxis is the particular form of chemotaxis in which oxygen plays the role of both the attractant and the repellent. Aerotaxis occurs without methylation adaptation, and it leads to fast and complete aggregation toward the most favorable…

Classical Analysis and ODEs · Mathematics 2015-06-26 Barbara "Bori" C. Mazzag
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