dorsal/arxiv
View SchemaModeling Vortex Swarming In Daphnia
| Authors | Robert Mach, Frank Schweitzer |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0404028 |
| URL | https://arxiv.org/abs/q-bio/0404028 |
| DOI | 10.1007/s11538-006-9135-3 |
| Journal | Bulletin of Mathematical Biology, vol. 69 (2007) pp. 539-562 |
Abstract
Based on experimental observations in \textit{Daphnia}, we introduce an agent-based model for the motion of single and swarms of animals. Each agent is described by a stochastic equation that also considers the conditions for active biological motion. An environmental potential further reflects local conditions for \textit{Daphnia}, such as attraction to light sources. This model is sufficient to describe the observed cycling behavior of single \textit{Daphnia}. To simulate vortex swarming of many \textit{Daphnia}, i.e. the collective rotation of the swarm in one direction, we extend the model by considering avoidance of collisions. Two different ansatzes to model such a behavior are developed and compared. By means of computer simulations of a multi-agent system we show that local avoidance - as a special form of asymmetric repulsion between animals - leads to the emergence of a vortex swarm. The transition from uncorrelated rotation of single agents to the vortex swarming as a function of the swarm size is investigated. Eventually, some evidence of avoidance behavior in \textit{Daphnia} is provided by comparing experimental and simulation results for two animals.
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"abstract": "Based on experimental observations in \\textit{Daphnia}, we introduce an\nagent-based model for the motion of single and swarms of animals. Each agent is\ndescribed by a stochastic equation that also considers the conditions for\nactive biological motion. An environmental potential further reflects local\nconditions for \\textit{Daphnia}, such as attraction to light sources. This\nmodel is sufficient to describe the observed cycling behavior of single\n\\textit{Daphnia}. To simulate vortex swarming of many \\textit{Daphnia}, i.e.\nthe collective rotation of the swarm in one direction, we extend the model by\nconsidering avoidance of collisions. Two different ansatzes to model such a\nbehavior are developed and compared. By means of computer simulations of a\nmulti-agent system we show that local avoidance - as a special form of\nasymmetric repulsion between animals - leads to the emergence of a vortex\nswarm. The transition from uncorrelated rotation of single agents to the vortex\nswarming as a function of the swarm size is investigated. Eventually, some\nevidence of avoidance behavior in \\textit{Daphnia} is provided by comparing\nexperimental and simulation results for two animals.",
"arxiv_id": "q-bio/0404028",
"authors": [
"Robert Mach",
"Frank Schweitzer"
],
"categories": [
"q-bio.PE",
"cond-mat.stat-mech",
"physics.bio-ph"
],
"doi": "10.1007/s11538-006-9135-3",
"journal_ref": "Bulletin of Mathematical Biology, vol. 69 (2007) pp. 539-562",
"title": "Modeling Vortex Swarming In Daphnia",
"url": "https://arxiv.org/abs/q-bio/0404028"
},
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