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Related papers: Curvature in chemotaxis: A model for ant trail pat…

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We investigate the organization of traffic flow on preexisting uni- and bidirectional ant trails. Our investigations comprise a theoretical as well as an empirical part. We propose minimal models of uni- and bi-directional traffic flow…

Collective behavior of active elements inspired by mass of biological organisms is addressed. Especially, two topics are focused on among amazing behaviors performed by colony of ants. First, task allocation phenomena are treated from the…

Populations and Evolution · Quantitative Biology 2007-05-23 T. Mizuguchi , K. Sugawara , H. Nishimori , T. Tao , T. Kazama , H. Nakagawa , Y. Hayakawa , M. Sano

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 studied the formation of trail patterns by Argentine ants exploring an empty arena. Using a novel imaging and analysis technique we estimated pheromone concentrations at all spatial positions in the experimental arena and at different…

Other Quantitative Biology · Quantitative Biology 2018-09-05 Andrea Perna , Boris Granovskiy , Simon Garnier , Stamatios Nicolis , Marjorie Labédan , Guy Theraulaz , Vincent Fourcassié , David Sumpter

Generically, in models of driven interacting particles the average speed of the particles decreases monotonically with increasing density. We propose a counter-example, motivated by the motion of ants in a trail, where the average speed of…

Statistical Mechanics · Physics 2007-05-23 Debashish Chowdhury , Vishwesha Guttal , Katsuhiro Nishinari , Andreas Schadschneider

Territoriality is a phenomenon exhibited throughout nature. On the individual level, it is the processes by which organisms exclude others of the same species from certain parts of space. On the population level, it is the segregation of…

Populations and Evolution · Quantitative Biology 2015-08-17 Jonathan R Potts , Mark A Lewis

The aim of our study is to describe the dynamics of ant battles, with reference to laboratory experiments, by means of a chemical stochastic model. We focus on ants behavior as an interesting topic in order to predict the ecological…

Populations and Evolution · Quantitative Biology 2016-05-09 Alisa Santarlasci , Gianluca Martelloni , Filippo Frizzi , Giacomo Santini , Franco Bagnoli

We consider a phenotype-switching chemotaxis model for aggregation, in which a chemotactic population is capable of switching back and forth between a chemotaxing state (performing chemotactic movement) and a secreting state (producing the…

Analysis of PDEs · Mathematics 2022-10-11 Kevin J Painter , Michael Winkler

Throughout developmental biology and ecology, transport can be driven by nonlocal interactions. Examples include cells that migrate based on contact with pseudopodia extended from other cells, and animals that move based on their vision of…

Pattern Formation and Solitons · Physics 2023-07-07 Thomas Jun Jewell , Andrew L. Krause , Philip K. Maini , Eamonn A. Gaffney

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

In 2002, Chowdhury et al. introduced a simplified model aimed at depicting the dynamics of single-lane unidirectional ant traffic. Despite efforts, an exact solution for the stationary state of this ant-trail model remains elusive. The…

Statistical Mechanics · Physics 2024-06-24 Ngo Phuoc Nguyen Ngoc , Huynh Anh Thi , Nguyen Van Vinh

Chemotaxis plays a crucial role in a variety of processes in biology and ecology. Quite often it acts to improve efficiency of biological reactions. One example is the immune system signalling, where infected tissues release chemokines…

Analysis of PDEs · Mathematics 2020-04-15 Alexander Kiselev , Fedor Nazarov , Lenya Ryzhik , Yao Yao

We develop the hydrodynamic theory of dry, polar ordered, active matter (``flocking") with autochemotaxis; i.e., self-propelled entities moving in the same direction, each emitting a substance which attracts the others (e.g., ants). We find…

Soft Condensed Matter · Physics 2024-01-22 Maxx Miller , John Toner

Chemotaxis, i.e. motion generated by chemical gradients, is a motility mode shared by many living species that has been developed by evolution to optimize certain biological processes such as foraging or immune response. In particular,…

Soft Condensed Matter · Physics 2023-05-24 Hugues Meyer , Heiko Rieger

Advection of entities induced by gradients in attractant concentration fields is observed via diffusiophoresis in colloids and via chemotaxis in microorganisms. Mathematically, both diffusiophoresis and chemotaxis follow similar…

Populations and Evolution · Quantitative Biology 2024-10-07 Benjamin M. Alessio , Ankur Gupta

We consider a model of congestion dynamics with chemotaxis: The density of cells follows a chemical signal it generates, while subject to an incompressibility constraint. The incompressibility constraint results in the formation of patches,…

Analysis of PDEs · Mathematics 2023-01-18 Inwon Kim , Antoine Mellet , Yijing Wu

We propose a PDE-ODE model for tissue regeneration, obtained by parabolic upscaling from kinetic transport equations written for the mesoscopic densities of mesenchymal stem cells and chondrocytes which evolve in an artificial scaffold…

Analysis of PDEs · Mathematics 2025-11-04 Shimi Chettiparambil Mohanan , Nishith Mohan , Christina Surulescu

We demonstrate that active rotations in chemically signalling particles, such as autochemotactic {\it E. coli} close to walls, create a route for pattern formation based on a nonlinear yet deterministic instability mechanism. For slow…

Soft Condensed Matter · Physics 2016-08-19 Benno Liebchen , Michael E. Cates , Davide Marenduzzo

Ant algorithms are inspired in real ants and the main idea is to create virtual ants that travel into the space of possible solution depositing virtual pheromone proportional to how good a specific solution is. This creates a autocatalytic…

Materials Science · Physics 2009-11-13 Bruno V. C. Martins , Gustavo Brunetto , Fernando Sato , Vitor R. Coluci , Douglas S. Galvao

We investigate statistical properties of trails formed by a random process incorporating aggregation, fragmentation, and diffusion. In this stochastic process, which takes place in one spatial dimension, two neighboring trails may combine…

Statistical Mechanics · Physics 2017-07-24 Kyle Kawagoe , Greg Huber , Marc Pradas , Michael Wilkinson , Alain Pumir , Eli Ben-Naim