259 citations · 631 across the 36 of their papers we have counts for
4 papers · 1 filter
Weighted persistent homology for osmolyte molecular aggregation and hydrogen-bonding network analysis
D Vijay Anand, Kelin Xia, Yuguang Mu
It has long been observed that trimethylamin N-oxide (TMAO) and urea demonstrate dramatically different properties in a protein folding process. Even with the enormous theoretical…
Persistent homology analysis of osmolyte molecular aggregation and their hydrogen-bonding networks
Kelin Xia, D Vijay Anand, Shikhar Saxena +1
Two types of osmolytes, i.e., trimethylamin N-oxide (TMAO) and urea, demonstrate dramatically different properties in a protein folding process. Even with the great progresses in r…
Weighted persistent homology for biomolecular data analysis
Zhenyu Meng, D Vijay Anand, Yunpeng Lu +2
In this paper, we systematically review weighted persistent homology (WPH) models and their applications in biomolecular data analysis. Essentially, the weight value, which reflect…
Discrete Morse Theory for Weighted Simplicial Complexes
Chengyuan Wu, Shiquan Ren, Jie Wu +1
In this paper, we study Forman's discrete Morse theory in the context of weighted homology. We develop weighted versions of classical theorems in discrete Morse theory. A key diffe…