A Topological Approach to Protein–Protein Interaction Networks: Persistent Homology and Algebraic Connectivity
A Topological Approach to Protein–Protein Interaction Networks: Persistent Homology and Algebraic Connectivity
J. A. Rodrigues
TLDR
This work provides a mathematical introduction to persistent homology and demonstrates its application to protein–protein interaction networks and combines persistent homology with algebraic connectivity, a graph-theoretic measure of network robustness, to analyze the topology and stability of PPI networks.
Abstract
Persistent homology is a powerful tool in topological data analysis that captures the multi-scale topological features of data. In this work, we provide a mathematical introduction to persistent homology and demonstrate its application to protein–protein interaction networks. We combine persistent homology with algebraic connectivity, a graph-theoretic measure of network robustness, to analyze the topology and stability of PPI networks. An example is provided to illustrate the methodology and its potential applications in systems biology.