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Topological data analysis of zebrafish patterns a,1 b ¨ a,c Melissa R. McGuirl , Alexandria Volkening , and Bjorn Sandstede a Division of Applied Mathematics, Brown University, Providence, RI 02912; b NSF–Simons Center for Quantitative Biology, Northwestern University, Evanston, IL 60208; and c Data Science Initiative, Brown University, Providence, RI 02912 Edited by Andrea L. Bertozzi, University of California, Los Angeles, CA, and approved January 29, 2020 (received for review October 21, 2019) Self-organized pattern behavior is ubiquitous throughout nature, labyrinth curves (11)] that form due to genetic mutations that from fish schooling to collective cell dynamics during organism restrict cell birth or alter cell behavior (often in unknown ways). development. Qualitatively these pattern