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Mathematical models have been widely used to describe the collective movement of bacteria by chemotaxis. In particular, bacterial concentration waves traveling in a narrow channel have been experimentally observed and can be precisely…

Analysis of PDEs · Mathematics 2016-04-15 Casimir Emako , Charlène Gayrard , Axel Buguin , Luís Neves de Almeida , Nicolas Vauchelet

A variety of complex mechanisms, from chemical reaction pathways to active fluctuations, orchestrate molecular transport in intracellular environments. Despite significant recent progress in visualizing and probing these processes, little…

Statistical Mechanics · Physics 2024-07-29 Ardra Suchitran , Sreekanth K Manikandan

Proper time, ideal clocks, and boosts are well understood classically, but subtleties arise in quantum physics. We show that quantum clocks set in motion via momentum boosts do not witness classical time dilation. However, using velocity…

Quantum Physics · Physics 2020-04-24 A. J. Paige , A. D. K. Plato , M. S. Kim

Living systems regulate many aspects of their behavior through periodic oscillations of molecular concentrations, which function as `biochemical clocks.' These clocks are intrinsically subject to thermal fluctuations, so that the duration…

Biological Physics · Physics 2020-08-10 Robert Marsland , Wenping Cui , Jordan M. Horowitz

Self-propelled nanoparticles moving through liquids offer the possibility of creating advanced applications where such nanoswimmers can operate as artificial molecular-sized motors. Achieving control over the motion of nanoswimmers is a…

Statistical Mechanics · Physics 2023-11-27 Artem Ryabov , Mykola Tasinkevych

This paper presents an application of specification based runtime verification techniques to control mobile robots in a reactive manner. In our case study, we develop a layered control architecture where runtime monitors constructed from…

Robotics · Computer Science 2019-02-12 Dogan Ulus , Calin Belta

We investigate theoretically the collective dynamics of soft active particles living in a viscous fluid. We focus on a minimal model for active but non-motile particles consisting of $N>1$ elastic dimers deformed by active stresses and…

Soft Condensed Matter · Physics 2010-04-09 Denis Bartolo , Eric Lauga

Chemotaxis in bacteria such as \textit{E.\ coli} is controlled by the slow methylation of chemoreceptors. As a consequence, intrinsic time and length scales of tens of seconds and hundreds of micrometers emerge, making the Keller--Segel…

Soft Condensed Matter · Physics 2025-04-23 Manuel Mayo , Rodrigo Soto

Chiral active particles (CAPs) are self-propelling particles that break time-reversal symmetry by orbiting or spinning, leading to intriguing behaviors. Here, we examined the dynamics of CAPs moving in 2D lattices of disk obstacles through…

Soft Condensed Matter · Physics 2024-02-20 Chung Wing Chan , Daihui Wu , Kaiyao Qiao , Kin Long Fong , Zhiyu Yang , Yilong Han , Rui Zhang

Directed motion up a concentration gradient is crucial for the survival and maintenance of numerous biological systems, such as sperms moving towards an egg during fertilization or ciliates moving towards a food source. In these systems,…

Statistical Mechanics · Physics 2025-05-01 Bhavesh Valecha , Hossein Vahid , Pietro Luigi Muzzeddu , Jens-Uwe Sommer , Abhinav Sharma

Active particles affect their environment as much as the environment affects their active motion. Here, we present an experimental system where both can be simultaneously adjusted in situ using an external AC electric field. The environment…

Animals employ different strategies for relating sensory input to behavioral output to navigate sensory environments, but what strategy to use, when to switch and why remain unclear. In C. elegans, navigation is composed of 'steering' and…

Neurons and Cognition · Quantitative Biology 2025-08-04 Kevin S. Chen , Andrew M. Leifer , Jonathan W. Pillow

We experimentally, numerically and analytically explore the diffusive transport of active colloidal particles with sensory delay, navigating motility landscapes in which the self-propulsion speed depends on space. We show how the transport…

Statistical Mechanics · Physics 2026-04-29 Adrià Garcés , Ueli Töpfer , Lucio Isa , Demian Levis , Ignacio Pagonabarraga

Multicellular chemotaxis can occur via individually chemotaxing cells that are mechanically coupled. Alternatively, it can emerge collectively, from cells chemotaxing differently in a group than they would individually. Here we consider…

Biological Physics · Physics 2017-11-01 Julien Varennes , Sean Fancher , Bumsoo Han , Andrew Mugler

This paper presents an approach to externally influencing a team of robots by means of time-varying density functions. These density functions represent rough references for where the robots should be located. To this end, a continuous-time…

Optimization and Control · Mathematics 2014-04-02 Sung G. Lee , Magnus Egerstedt

We study the collective behaviour of an ensemble of coupled motile elements whose interactions depend on time and are alternatively attractive or repulsive. The evolution of interactions is driven by individual internal variables with…

Statistical Mechanics · Physics 2009-11-10 Damian H. Zanette , Alexander S. Mikhailov

Self-organization is frequently observed in active collectives, from ant rafts to molecular motor assemblies. General principles describing self-organization away from equilibrium have been challenging to identify. We offer a unifying…

Asymmetric obstacles can be exploited to direct the motion and induce sorting of run-and-tumbling particles. In this work, we show that flocking particles which follow the Vicsek model aligning rules experience a collective trapping in the…

Soft Condensed Matter · Physics 2019-12-02 Raul Martinez , Francisco Alarcon , Juan Luis Aragones , Chantal Valeriani

Intelligent decisions in response to external informative input can allow organisms to achieve their biological goals while spending very little of their own resources. In this paper, we develop and study a minimal model for a navigational…

Soft Condensed Matter · Physics 2025-03-26 Tobias Plasczyk , Paul A. Monderkamp , Hartmut Löwen , René Wittmann

A model for autonomous feedback control of particle transport through a large number of channels is introduced. Interactions among the particles can lead to a strong suppression of fluctuations in the particle number statistics. Within a…

Statistical Mechanics · Physics 2016-02-25 Tobias Brandes