Protein structure, neighbor effect, and a new index of amino acid dissimilarities

Amino acids interact with each other, especially with neighboring amino acids, to generate protein structures. We studied the pattern of association and repulsion of amino acids based on 24,748 protein-coding genes from human, 11,321 from mouse, and 15,028 from Escherichia coli, and documented the pattern of neighbor preference of amino acids. All amino acids have different preferences for neighbors. We have also analyzed 7,342 proteins with known secondary structure and estimated the propensity of the 20 amino acids occurring in three of the major secondary structures, i.e., helices, sheets, and turns. Much of the neighbor preference can be explained by the propensity of the amino acids in forming different secondary structures, but there are also a number of intriguing association and repulsion patterns. The similarity in neighbor preference among amino acids is significantly correlated with the number of amino acid substitutions in both mitochondrial and nuclear genes, with amino acids having similar sets of neighbors replacing each other more frequently than those having very different sets of neighbors. This similarity in neighbor preference is incorporated into a new index of amino acid dissimilarities that can predict nonsynonymous codon substitutions better than the two existing indices of amino acid dissimilarities, i.e., Grantham's and Miyata's distances.