Statistical Analysis and Modeling of Networks in Natural Systems– A Case Study on Voronoi Leaf Vein Formation

Zheng, Xingyu (August 2025) Statistical Analysis and Modeling of Networks in Natural Systems– A Case Study on Voronoi Leaf Vein Formation. PhD thesis, Cold Spring Harbor Laboratory.

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Abstract

Reticulate leaf venation, characterized by the presence of loops, is a distinguishing feature of many flowering plants. However, our understanding of both the geometry and the morphogenesis of reticulate vein patterns is far from complete. We show that in the Chinese money plant (Pilea peperomioides), major veins form an approximate Voronoi diagram surrounding secretory pores known as hydathodes. We also propose a mechanistic model based on polar transport of the plant hormone auxin to produce Voronoi patterns. In contrast with classical models where veins directly connect auxin sources to sinks, our model generates veins that bisect the space between adjacent auxin sources, collectively forming loops. The paradigm change offered by this model may open the door to study reticulate vein formation in other species.

Item Type: Thesis (PhD)
Subjects: bioinformatics
organs, tissues, organelles, cell types and functions
organism description > plant
organs, tissues, organelles, cell types and functions > tissues types and functions
CSHL Authors:
Communities: CSHL labs > Navlakha lab
School of Biological Sciences > Theses
Depositing User: Kathleen McGuire
Date: 15 August 2025
Date Deposited: 31 Mar 2026 16:08
Last Modified: 31 Mar 2026 16:08
URI: https://repository.cshl.edu/id/eprint/42138

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