Yasushi Kubota

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.

Correspondence of homologies in amino acid sequence and tertiary structure of protein molecules

According to the method developed previously (Kubota, Y., Takahashi, S., Nishikawa, K. and Ooi, T. (1981) J. Theor, Biol. 91, 347-361), homology among proteins may be estimated quantitatively. We extended the method to investigate the relationship of an amino acid sequence to its teritary structure and identify homologous segments which have homologous native conformations in proteins. First, we selected proper indices for the computation of correlation coefficients from 32 properties inherent to amino acids, such as hydrophobicity. The arithmetic average of correlation coefficients using six indices gave rise to a good correlation for the CD- and EF-hand regions (Ca2+ binding sites) in carp parvalbumin, but poor ones for other segments. We then applied the method to homologous proteins, the three-dimensional structures of which are known: horse hemoglobin alpha-chain and beta-chain; cytochrome c and c2; serine proteases, chymotrypsinogen and elastase; alpha-lytic protease and protease A from prokaryotic organisms. The results show that the sequence homology estimated by the present method has a good correspondence to the homology in three-dimensional structures and therefore the method is promising for the identification of important sites in sequences which have similar native conformations. For an example of the application of the method, two sequences of human interferon, one from fibroblast and the other from leukocyte, are compared, suggesting functional sites in the molecule.

The first example of the direct asymmetric conjugate addition of aldehydes to a methylenemalonate promoted by an axially chiral amino diol catalyst

A methylenemalonate could be employed as a reactive equivalent of a three carbon Michael acceptor such as acrylate in a direct asymmetric conjugate addition of aldehydes catalyzed by an axially chiral amino diol. The obtained conjugate addition product was readily converted to synthetically useful and important chiral building blocks.

Structural homology of lens crystallins. II. Homology expressed by correlation coefficients and hydropathy profiles.

Bovine lens alpha A- and alpha B-crystallin polypeptides show extensive sequence homology with each other, but apparently none with beta Bp- and gamma 2-crystallin. Despite only 30% sequence homology, the latter two proteins are assumed to have a strong correspondence in tertiary structure, consisting of four structurally similar folding units of antiparallel beta-sheet. We have tested for internal structural repeats in all crystallins, and structural homology between crystallins, by comparing various physical properties of the amino acid residues, such as bulkiness and propensity to form beta-sheet and beta-turn structure. Two procedures used a combination of five physical parameters to calculate correlation coefficients. The 4-fold structural repeat in gamma 2-crystallin and the internal duplication in beta Bp-crystallin were readily detectable, as was also the strong structural homology between corresponding folding units in beta Bp- and gamma 2-crystallin. However, for alpha-crystallin polypeptides, no conclusive support was obtained for either a four-unit or a six-unit folding, the two models previously considered by us. The third procedure compared smoothened hydropathy plots, representing hydrophilic and hydrophobic regions along the polypeptide sequences. Hydropathy profiles were found to show strong correspondence, particularly between alpha B-crystallin and beta Bp-crystallin. These observations support a similar 4-fold folding pattern for all bovine crystallins. A possible role in subunit interactions of the N-terminal folding unit, which has hydrophobic surface characteristics in both alpha- and beta-crystallin polypeptides, is proposed.

Chaos-theoretical analysis of possible structural quantities for globular proteins

Chaos-theoretical analysis is made on possible candidates for the structural quantities. Since this is a first attempt to incorporate chaos into protein structural studies, a brief introduction to chaos especially the correlation integral method is given. It is shown that for several globular proteins the quantities called N14 and the distance rho of each C alpha atom from the center of mass suggest their deterministic origin which, we consider, is an essential requirement for a parameter to be recognized as the structural quantity. The claim made by the originator of N14 that the quantities N14 and rho can be good candidates for structural quantities is supported here by a completely new and different analysis.

Chaos- theoretical Analysis of Protein Structures

The basis of a completely new approach to protein structure analysis, chaos-theoretical analysis, is introduced, and then application of this approach to some proteins is shown. For example, the L and the M subunits of photosynthetic reaction center protein which looks very similar by their 3D coordinate are clearly discriminated by their correlation dimension.