Characterising epithelial tissues using persistent entropy

TL;DR

This paper introduces persistent entropy as a new topological statistic to characterize epithelial tissue images, revealing significant differences between tissue types through statistical analysis.

Contribution

It demonstrates that persistent entropy effectively summarizes topological and geometric features of epithelial tissues, providing a novel approach for tissue characterization.

Findings

Persistent entropy captures key topological features.

Statistical tests confirm significant differences between tissue types.

Method offers a new quantitative tool for tissue analysis.

Abstract

In this paper, we apply persistent entropy, a novel topological statistic, for characterization of images of epithelial tissues. We have found out that persistent entropy is able to summarize topological and geometric information encoded by \alpha-complexes and persistent homology. After using some statistical tests, we can guarantee the existence of significant differences in the studied tissues.