259 citations · 366 across the 7 of their papers we have counts for
7 papers
Multiscale persistent functions for biomolecular structure characterization
Kelin Xia, Zhiming Li, Lin Mu
In this paper, we introduce multiscale persistent functions for biomolecular structure characterization. The essential idea is to combine our multiscale rigidity functions with per…
A review of geometric, topological and graph theory apparatuses for the modeling and analysis of biomolecular data
Kelin Xia, Guo-Wei Wei
Geometric, topological and graph theory modeling and analysis of biomolecules are of essential importance in the conceptualization of molecular structure, function, dynamics, and t…
Multidimensional persistence in biomolecular data
Kelin Xia, Guo-Wei Wei
Persistent homology has emerged as a popular technique for the topological simplification of big data, including biomolecular data. Multidimensional persistence bears considerable…
Fast and Anisotropic Flexibility-Rigidity Index
Kristopher Opron, Kelin Xia, Guo-Wei Wei
The flexibility-rigidity index (FRI) is a newly proposed method for the construction of atomic rigidity functions. The FRI method analyzes protein rigidity and flexibility and is c…
Persistent homology analysis of protein structure, flexibility and folding
Kelin Xia, Guo-Wei Wei
Proteins are the most important biomolecules for living organisms. The understanding of protein structure, function, dynamics and transport is one of most challenging tasks in biol…
Persistent topology for cryo-EM data analysis
Kelin Xia, Guo-Wei Wei
In this work, we introduce persistent homology for the analysis of cryo-electron microscopy (cryo-EM) density maps. We identify the topological fingerprint or topological signature…