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# Clusters in \alpha / \beta Barrel Proteins: Implications for Protein Structure, Function, and Folding: A Graph Theoretical Approach

Kannan, N and Selvaraj, S and Gromiha, Michael S and Vishveshwara, S (2001) Clusters in \alpha / \beta Barrel Proteins: Implications for Protein Structure, Function, and Folding: A Graph Theoretical Approach. In: Proteins: Structure, Function, and Genetics, 43 . pp. 103-112.

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## Abstract

The \alpha / \beta barrel fold is adopted by most enzymes performing a variety of catalytic reactions, but with very low sequence similarity. In order to understand the stabilizing interactions important in maintaining the \alpha / \beta barrel fold, we have identifiedresidue clusters ina dataset of 36 \alpha / \beta barrel proteins that have less than 10% sequence identity within themselves. Agraphtheoretical algorithm is used to identify backbone clusters. This approach uses the global information of the nonbonded interaction in the \alpha / \beta barrel fold for the clustering procedure. The nonbonded interactions are represented mathematically in the form of an adjacency matrix. On diagonalizing the adjacency matrix, clusters and cluster centers are obtained from the highest eigenvalue and its corresponding vector components. Residue clusters are identified in the strand regions forming the \beta barrel and are topologically conserved in all 36 proteins studied. The residues forming the cluster in each of the \alpha / \beta protein are also conserved among the sequences belonging to the same family. The cluster centers are found to occur in the middle of the strands or in the C-terminal of the strands. In most cases, the residues forming the clusters are part of the active site or are located close to the active site. The folding nucleus of the \alpha / \beta fold is predicted based on hydrophobicity index evaluation of residues and identification of cluster centers. The predicted nucleation sites are found to occur mostly inthe middle of the strands.

Item Type: Journal Article The copyright belongs to Wiley-Liss, Inc. clusters;graph theory;eigenvalues;eigenvectors;protein folding;nucleation sites;active site Division of Biological Sciences > Molecular Biophysics Unit Sandhya Jagirdar 02 Sep 2005 19 Sep 2010 04:19 http://eprints.iisc.ac.in/id/eprint/3589

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