Year: 2025
Type: article
Abstract: This is a summary of mathematical tools we used in research of analyzing the structure of proteins with amyloid form [1]. We defined several geometry indicators on the discrete curve including the hop distance, the discrete curvature and the discrete torsion.Then, we used these indicators to analyze the structure of amyloid fibrils by regarding its peptide chains as discrete curves in R 3 .We gave examples to show that these indicators give novel insights in the characterization analysis of the structure of amyloid fibrils, for example the discrete torsion can detect the hydrogen bond interactions between layers of amyloid fibril.Moreover, the topological tool performs better than the root mean square deviation (RMSD) in quantifying the difference of the structure of amyloid fibrils, etc.
Source: Data Analytics and Topology
Authors: Xiaoxi Lin, Yunpeng Zi, Fengling Li, Jingyan Li
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4411333159