🍩 Database of Original & Non-Theoretical Uses of Topology

(found 2 matches in 0.000969s)

  1. Disease Model of GATA4 Mutation Reveals Transcription Factor Cooperativity in Human Cardiogenesis (2016)

    Yen-Sin Ang, Renee N. Rivas, Alexandre JS Ribeiro, Rohith Srivas, Janell Rivera, Nicole R. Stone, Karishma Pratt, Tamer MA Mohamed, Ji-Dong Fu, C. Ian Spencer, Nathaniel D. Tippens, Molong Li, Anil Narasimha, Ethan Radzinsky, Anita J. Moon-Grady, Haiyuan Yu, Beth L. Pruitt, Michael P. Snyder, Deepak Srivastava

  2. Topology-Driven Trajectory Synthesis With an Example on Retinal Cell Motions (2014)

    Chen Gu, Leonidas Guibas, Michael Kerber
    Abstract We design a probabilistic trajectory synthesis algorithm for generating time-varying sequences of geometric configuration data. The algorithm takes a set of observed samples (each may come from a different trajectory) and simulates the dynamic evolution of the patterns in O(n2 logn) time. To synthesize geometric configurations with indistinct identities, we use the pair correlation function to summarize point distribution, and α-shapes to maintain topological shape features based on a fast persistence matching approach. We apply our method to build a computational model for the geometric transformation of the cone mosaic in retinitis pigmentosa — an inherited and currently untreatable retinal degeneration.