Topological data analysis of biological aggregation models.

Article, Preprint English OPEN
Chad M Topaz; Lori Ziegelmeier; Tom Halverson;
  • Publisher: Public Library of Science (PLoS)
  • Journal: PLoS ONE,volume 10,issue 5 (issn: 1932-6203, eissn: 1932-6203)
  • Related identifiers: pmc: PMC4430537, doi: 10.1371/journal.pone.0126383
  • Subject: Q | Mathematics - Algebraic Topology | R | Research Article | Nonlinear Sciences - Adaptation and Self-Organizing Systems | Science | Quantitative Biology - Quantitative Methods | Medicine

We apply tools from topological data analysis to two mathematical models inspired by biological aggregations such as bird flocks, fish schools, and insect swarms. Our data consists of numerical simulation output from the models of Vicsek and D'Orsogna. These models are ... View more
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