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Published on: September 8, 2023
Persistent topological Laplacian analysis of SARS-CoV-2 variants
Xiaoqi Wei1, Jiahui Chen1, Guo-Wei Wei1,2,3
1Department of Mathematics, Michigan State University, MI 48824, USA.
Persistent topological Laplacians (PTLs) offer enhanced analysis of protein structures compared to persistent homology. This new topological data analysis tool effectively models SARS-CoV-2 variant mutations and binding interactions.
Area of Science:
- Mathematics and Data Science
- Computational Biology
- Structural Bioinformatics
Background:
- Topological data analysis (TDA) and persistent homology are powerful tools for analyzing complex data.
- Persistent homology has limitations in handling heterogeneous data and quantitative structural changes.
- Persistent topological Laplacians (PTLs) were developed to address these limitations.
Purpose of the Study:
- To evaluate the modeling and analysis capabilities of PTLs for SARS-CoV-2 spike receptor binding domain (RBD) protein structures.
- To investigate how PTLs capture mutation-induced structural changes in RBD-ACE2 binding complexes across variants.
- To explore the application of PTLs in topological deep learning and predict deep mutational scanning data.
Main Methods:
- Application of Persistent Topological Laplacians (PTLs) to analyze protein structures.
- Spectral analysis of PTLs to study structural changes in SARS-CoV-2 variants.
- Integration of PTLs with topological deep learning for predictive modeling.
Main Results:
- PTLs effectively capture mutation-induced structural changes in RBD-ACE2 binding complexes.
- Spectral changes in PTLs correlate with structural alterations across SARS-CoV-2 variants.
- PTLs demonstrate advantages over persistent homology for protein structure analysis.
Conclusions:
- PTLs provide a powerful new topological data analysis tool for understanding protein structural dynamics.
- This approach enhances the analysis of SARS-CoV-2 variants and their binding interactions.
- PTLs offer superior capabilities for quantitative and qualitative structural analysis in bioinformatics.
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