Modeling Vortex Swarming In Daphnia

dc.creatorMach, Robert
dc.creatorSchweitzer, Frank
dc.date2004-04-22
dc.date2007-03-16
dc.date.accessioned2026-07-07T07:52:09Z
dc.date.available2026-07-07T07:52:09Z
dc.descriptionBased 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.
dc.description24 pages including 11 multi-part figs. Major revisions compared to version 1, new results on transition from uncorrelated rotation to vortex swarming. Extended discussion. For related publications see http://www.sg.ethz.ch/people/scfrank/Publications
dc.identifierhttps://arxiv.org/abs/q-bio/0404028
dc.identifierhttp://arxiv.org/abs/q-bio/0404028
dc.identifierBulletin of Mathematical Biology, vol. 69 (2007) pp. 539-562
dc.identifierdoi:10.1007/s11538-006-9135-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125775
dc.subjectPopulations and Evolution
dc.subjectStatistical Mechanics
dc.subjectBiological Physics
dc.titleModeling Vortex Swarming In Daphnia
dc.typetext

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