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Important cellular processes such as migration, differentiation, and development often rely on precise timing. Yet, the molecular machinery that regulates timing is inherently noisy. How do cells achieve precise timing with noisy…

Molecular Networks · Quantitative Biology 2018-07-04 Shivam Gupta , Julien Varennes , Hendrik C. Korswagen , Andrew Mugler

Cell crawling is critical to biological development, homeostasis and disease. In many cases, cell trajectories are quasi-random-walk. In vitro assays on flat surfaces often described such quasi-random-walk cell trajectories as…

Cells frequently employ extracellular vesicles, or exosomes, to signal across long distances and coordinate collective actions. Exosomes diffuse slowly, can be actively degraded, and contain stochastic amounts of molecular cargo. These…

Biological Physics · Physics 2025-10-15 Louis González , Andrew Mugler

We study the maximal displacement of branching random walks in a class of time inhomogeneous environments. Specifically, binary branching random walks with Gaussian increments will be considered, where the variances of the increments change…

Probability · Mathematics 2011-12-07 Ofer Zeitouni , Ming Fang

Collective migration of animals in a cohesive group is rendered possible by a strategic distribution of tasks among members: some track the travel route, which is time and energy-consuming, while the others follow the group by interacting…

Optimization and Control · Mathematics 2015-08-05 Benedetto Piccoli , Nastassia Pouradier Duteil , Benjamin Scharf

We introduce \emph{proxitaxis}, a simple search strategy where the searcher has only information about the distance from the target but not the direction. The strategy consists of three crucial components: (i) local adaptive moves with…

Statistical Mechanics · Physics 2026-04-14 Giuseppe Del Vecchio Del Vecchio , Manas Kulkarni , Satya N. Majumdar , Sanjib Sabhapandit

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

This report studies the emergent behavior of systems of agents performing cyclic pursuit controlled by an external broadcast signal detected by a random set of the agents. Two types of cyclic pursuit are analyzed: 1)linear cyclic pursuit,…

Robotics · Computer Science 2020-07-03 Ilana Segall , Alfred Bruckstein

Will the strategy of resetting} help a stochastic process to reach its target efficiently, with its environment continually toggling between a strongly favourable and an unfavourable (or weakly favourable) state? A diffusive run-and-tumble…

Statistical Mechanics · Physics 2025-03-04 Hillol kumar Barman , Amitabha Nandi , Dibyendu Das

We introduce mesoscopic and macroscopic model equations of chemotaxis with anomalous subdiffusion for modelling chemically directed transport of biological organisms in changing chemical environments with diffusion hindered by traps or…

Dynamical Systems · Mathematics 2012-12-03 T. A. M. Langlands , B. I. Henry

Natural systems often exhibit chaotic behavior in their space-time evolution. Systems transiting between chaos and order manifest a potential to compute, as shown with cellular automata and artificial neural networks. We demonstrate that…

Computational Physics · Physics 2025-04-04 Tomáš Vantuch , Ivan Zelinka , Andrew Adamatzky , Norbert Marwan

Unraveling bacterial strategies for spatial exploration is crucial for understanding the complexity in the organization of life. Bacterial motility determines the spatio-temporal structure of microbial communities, controls infection…

The quest for the optimal navigation strategy in a complex environment is at the heart of microswimmer applications like cargo carriage or drug targeting to cancer cells. Here, we formulate a variational Fermat's principle for microswimmers…

Soft Condensed Matter · Physics 2019-01-25 Benno Liebchen , Hartmut Löwen

The collective motion of microorganisms and microrobots can be used for particle delivery, especially when guided by external magnetic fields, phototaxis, or chemotaxis. This cargo transport is enhanced significantly by hydrodynamic…

Soft Condensed Matter · Physics 2025-09-30 Maggie Liu , Arnold J. T. M. Mathijssen

Chemotaxis is the physical phenomenon that bacteria adjust their motions according to chemical stimulus. A classical model for this phenomenon is a kinetic equation that describes the velocity jump process whose tumbling/transition kernel…

Analysis of PDEs · Mathematics 2024-01-11 Kathrin Hellmuth , Christian Klingenberg , Qin Li , Min Tang

We report a simulation study on the narrow escape kinetics of a Chiral Active Particle (CAP) confined to a circular domain with a narrow escape opening. The studys main objective is to optimize the CAPs escape changes as a function of the…

Soft Condensed Matter · Physics 2023-12-05 Alakesh Upadhyaya , Venkata Sathish Akella

Chemotaxis of the bacterium Escherichia coli is well understood in shallow chemical gradients, but its swimming behavior remains difficult to interpret in steep gradients. By focusing on single-cell trajectories from simulations, we…

Cell Behavior · Quantitative Biology 2018-02-14 Gabriele Micali , Remy Colin , Victor Sourjik , Robert G. Endres

In this fluid mechanics video, we explore the kinematics of chemotaxing sperm cells (sea urchin, \textit{Arbacia punctulata}) swimming in a chemoattractant gradient. We demonstrate that the complex swimming trajectories resulting in…

Fluid Dynamics · Physics 2011-10-14 Jeffrey S. Guasto , Jeffrey A. Riffell , Richard K. Zimmer , Roman Stocker

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

When cells measure concentrations of chemical signals, they may average multiple measurements over time in order to reduce noise in their measurements. However, when cells are in a environment that changes over time, past measurements may…

Cell Behavior · Quantitative Biology 2025-03-05 Aparajita Kashyap , Wei Wang , Brian A. Camley