Unraveling Protein Secrets: Machine Learning Unveils Novel Biologically Significant Associations Among Amino Acids

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Abstract

Hierarchical clustering of amino acids using multidimensional molecular descriptors reveals both established and novel structure-function relationships, advancing traditional classification schemes. We developed an automated clustering pipeline leveraging 22 graph-theoretic descriptors for all 20 standard amino acids, integrating parameter optimization, consensus validation, and robust statistical evaluation. Average linkage with cityblock distance achieved the highest cophenetic correlation (0.847), indicating superior preservation of pairwise relationships compared to other methods. Cluster validation metrics (silhouette: 0.573, Calinski-Harabasz: 21.45, Davies-Bouldin: 0.82) and the gap statistic consistently supported a two-cluster solution, with the dendrogram and consensus clustering revealing stable, biologically meaningful substructure. The analysis identified two dominant clusters: one comprising aromatic residues (tryptophan, phenylalanine, tyrosine) and positively charged residues (arginine, histidine, lysine), and a second encompassing aliphatic, polar, and acidic amino acids. High-stability associations (consensus >0.85) were observed for the aromatic cluster and branched aliphatic group (isoleucine, valine, leucine), while glycine and proline emerged as pronounced outliers with low co-clustering probabilities (< 0.3), reflecting their unique structural roles. Notably, arginine showed unexpectedly high consensus with aromatic residues, suggesting a functional basis in cation–π interactions, and methionine occupied an intermediate position between hydrophobic and sulfur-containing groups. Comparative analysis demonstrated that hierarchical clustering outperformed k-means and DBSCAN in both cluster quality and biological interpretability. These findings both corroborate and refine existing amino acid classifications, highlighting the power of multidimensional descriptor-based clustering to uncover subtle biochemical relationships. The resulting hierarchy provides a robust framework for predicting mutation effects, guiding protein engineering, and informing reduced amino acid alphabets for structural modeling.

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