Homology in protein sequences expressed by correlation coefficients

Abstract Internal homologies in an amino acid sequence of a protein and in amino acid sequences of two different proteins are examined, using correlation coefficients calculated from the sequences when residues are replaced by various quantitative properties of the amino acids such as hydrophobicity. To improve the signal-noise ratio the average correlation coefficient is used to detect homology because the correlation depends on the property considered. In this way, any sequence repetition in a protein and the extent of the similarity and difference among proteins can be estimated quantitatively. The procedure was applied first to the sequences of proteins which have been assumed on other grounds to contain some internal sequence repetitions, α-tropomyosin from rabbit skeletal muscle, calmodulin from bovine brain, troponin C from skeletal and cardiac muscle, and then to the sequences of calcium binding proteins, calmodulin, troponin C, and L2 light chain of myosin. The results show that α-tropomyosin has a markedly periodic sequence at intervals of multiples of seven residues throughout the whole sequence, and calmodulin and skeletal troponin C contain two homologous sequences, the homology of troponin C being weaker than that of calmodulin. Candidates for the calcium binding regions of both troponin C, calmodulin, and L2 light chain are the homologous parts having a high average correlation coefficient (about 0·5) with respect to the sequences of the CD and EF hand regions of carp parvalbumin. The procedure may be a useful method for searching for homologous segments in amino acid sequences.