Persistent homology and the branching topologies of plants.

  title={Persistent homology and the branching topologies of plants.},
  author={Mao Li and Keith E. Duncan and Christopher N. Topp and Daniel H. Chitwood},
  journal={American journal of botany},
  volume={104 3},
In On the Nature of Th ings , Lucretius speculates on the necessity of plant development: Branching trees simply do not “leap” from the turf, rather, the branching patterns of shoots and roots develop over time, “slowly increas[sing] from [their] lawful seed” ( Leonard, 2015 ). Over 2000 years ago, the essence of the plant phenotype was written in a poem; plants are four-dimensional beings, branching structures that emerge through time. Th is qualitative realization of the nature of plant… 

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