David Aristoff's homepage Title: Using TDA in Prostate Cancer Diagnosis and Prognosis

Abstract: The current standard for prostate cancer grading is the Gleason score, a subjective rating system based on an analysis of high-level tissue architecture and glandular shape and organization. This analysis can be aided with tools from topological data analysis. In particular, we use persistence diagrams, intensity plots (persistence images), landscapes, and silhouettes as descriptors of the biopsy slides. We will discuss preliminary results on comparing regions of pure Gleason grades 3, 4, and 5.