259 citations · 631 across the 36 of their papers we have counts for
7 papers · 1 filter
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…
Second order Method for Solving 3D Elasticity Equations with Complex and Sharp Interfaces
Bao Wang, Kelin Xia, Guowei Wei
Elastic materials are ubiquitous in nature and indispensable components in man-made devices and equipments. When a device or equipment involves composite or multiple elastic materi…
Matched Interface and Boundary Method for Elasticity Interface Problems
Bao Wang, Kelin Xia, Guo-Wei Wei
Elasticity theory is an important component of continuum mechanics and has had widely spread applications in science and engineering. Material interfaces are ubiquity in nature and…
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…