200 citations · 471 across the 22 of their papers we have counts for
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q-bio.QM2018★ 1 cited
Assessing biological models using topological data analysis
M. Ulmer, Lori Ziegelmeier, Chad M. Topaz
We use topological data analysis as a tool to analyze the fit of mathematical models to experimental data. This study is built on data obtained from motion tracking groups of aphid…
q-bio.QM2014★ 200 cited
Topological Data Analysis of Biological Aggregation Models
Chad M. Topaz, Lori Ziegelmeier, Tom Halverson
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…