Persistent Homology to Protein Structural Analysis

Tuesday, June 4, 2013 - 2:00pm - 2:30pm
Keller 3-180
Yasu Hiraoka (Kyushu University)
Persistent homology and persistent diagrams have been developed as tools of topological data analysis. They provide a robust topological characterization of a given (discrete) geometrical data. In this talk, I will present our recent researches on applying persistent diagrams to protein structural analysis. Topological characterizations of protein compressibilities and H/D exchanges will be explained in detail. Time permitting, I will also introduce a notion of the three ladder persistence as representaions on a certain class of associative algebra, which will be useful for comparing two proteins in view of homological information.
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