Topological Data Analysis of Biological Aggregation Models

@article{Topaz2015TopologicalDA,
  title={Topological Data Analysis of Biological Aggregation Models},
  author={Chad M. Topaz and Lori Ziegelmeier and Tom Halverson},
  journal={PLoS ONE},
  year={2015},
  volume={10}
}
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 dynamical systems describing the movement of agents who interact via alignment, attraction, and/or repulsion. Each simulation time frame is a point cloud in position-velocity space. We analyze the topological structure of these… 
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