ArticleJournal of mathematical biology2013
Trail formation based on directed pheromone deposition.
Article in Journal of mathematical biology, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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Who cites it
13 citing papers in PubMed.
- Walk this way: modeling foraging ant dynamics in multiple food source environments.Journal of mathematical biology · 2024Article
- Agent-based modeling of nuclear chromosome ensembles identifies determinants of homolog pairing during meiosis.PLoS computational biology · 2024Article
- Agent-based modeling of nuclear chromosome ensemble identifies determinants of homolog pairing during meiosis.bioRxiv : the preprint server for biology · 2024Article
- Fibre crosslinking drives the emergence of order in a three-dimensional dynamical network model.Royal Society open science · 2024Article
- How environment affects active particle swarms: a case study.Royal Society open science · 2022Article
- Computational exploration of treadmilling and protrusion growth observed in fire ant rafts.PLoS computational biology · 2022Article
- Large-Scale Dynamics of Self-propelled Particles Moving Through Obstacles: Model Derivation and Pattern Formation.Bulletin of mathematical biology · 2020Article
- An ant navigation model based on Weber's law.Journal of mathematical biology · 2019Article
- Particle Interactions Mediated by Dynamical Networks: Assessment of Macroscopic Descriptions.Journal of nonlinear science · 2018Article
- A model for collective dynamics in ant raids.Journal of mathematical biology · 2016Article
- Bacterial stigmergy: an organising principle of multicellular collective behaviours of bacteria.Scientifica · 2015Review
- Stigmergy: A key driver of self-organization in bacterial biofilms.Communicative & integrative biology · 2013Article
- Self-organization of bacterial biofilms is facilitated by extracellular DNA.Proceedings of the National Academy of Sciences of the United States of America · 2013Article
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We propose an Individual-Based Model of ant-trail formation. The ants are modeled as self-propelled particles which deposit directed pheromone particles and interact with them through alignment interaction. The directed pheromone particles intend to model pieces of trails, while the alignment interaction translates the tendency for an ant to follow a trail when it meets it. Thanks to adequate quantitative descriptors of the trail patterns, the existence of a phase transition as the ant-pheromone interaction frequency is increased can be evidenced. We propose both kinetic and fluid descriptions of this model and analyze the capabilities of the fluid model to develop trail patterns. We observe that the development of patterns by fluid models require extra trail amplification mechanisms that are not needed at the Individual-Based Model level.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.