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* Polymer Research Center and Department of Chemical Engineering, Bogazici University, Bebek 34342, Istanbul, Turkey;
Center for Computational Biology and Bioinformatics and Chemical and Biological Engineering, Rumeli Feneri Yolu Sariyer, Koc University 34450, Istanbul, Turkey;
Basic Research Program, SAIC-Frederick, Inc., Laboratory of Experimental and Computational Biology, NCI-Frederick Frederick, Maryland 21702; and
Sackler Institute of Molecular Medicine, Department of Human Genetics and Molecular Medicine, Sackler School of Medicine, Tel Aviv University, Tel Aviv 69978, Israel
Correspondence: Address reprint requests to R. Nussinov at NCI-Frederick, Bldg. 469, Rm. 151, Frederick, MD 21702. Tel.: 301-846-5579; Fax: 301-846-5598; E-mail: ruthn{at}ncifcrf.gov, or T. Haliloglu, Polymer Research Center, Bogazici University, 34342 Bebek, Istanbul, Turkey. Tel.: 90-212-3597003; Fax: 90-212-2575032; E-mail: turkan{at}prc.bme.boun.edu.tr.
| ABSTRACT |
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| INTRODUCTION |
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To identify the residues contributing significantly to the stability of protein associations, protein-protein complexes have been analyzed experimentally and computationally. Experimentally, they have been probed via alanine scanning mutagenesis to discover the residue "hot spots" at their interfaces. A hot spot is a residue that when mutated to alanine, gives rise to a distinct drop in the binding constant (>2 kcal/mol) by destabilizing the bound state ensemble. Computationally, alanine scanning calculations (Massova and Kollman, 1999
), simple physical models (Kortemme and Baker, 2002
), Monte Carlo evaluation of the energy landscapes (Verkhivker et al., 2002
) and studies on the residue-specific energy contributions to the binding (Kortemme and Baker, 2002
; Verkhivker et al., 2002
) have been undertaken to understand the origin of the stabilizing contributions of the hot spots. Structural comparisons of protein families (Hu et al., 2000
; Ma et al., 2003
; Keskin et al., 2004
) have further shown that structurally conserved residues correlate with the hot spots. Both residue hot spots and conserved residues have been shown to couple across the interfaces (Halperin et al., 2004
) and to be within well-packed environments (Halperin et al., 2004
; Keskin et al., 2005
). Furthermore, conserved residue hot spots distinguish between binding sites and exposed protein surfaces (Ma et al., 2003
).
Conserved residues within the compact protein cores have been postulated to be critical for protein folding (Fersht, 1976
). Theoretical and experimental studies suggest that there is a correlation between structurally conserved residues in the densely packed protein cores and those observed in mutational studies to play a key role in protein folding. These are termed kinetically important residues (Shoemaker et al., 1997
) or hot spots (Shakhnovich et al., 1996
), because they describe highly ordered contacts in the transition state. Hence, they are strongly constrained and conserved. For several proteins residues critical for folding were identified as high-frequency vibrating (HFV) residues by the Gaussian network model (GNM) (Demirel et al., 1998
; Bahar et al., 1998
). Hence, the question arises whether the structurally conserved residues at the interfaces, shown to be correlated with the experimental binding hot spots, exhibit similar vibrational motions as those in the folding nucleus. This would be a direct indication that certain critical residues similarly control folding and binding. Furthermore, because conserved residues distinguish binding sites from the rest of the protein surface (Ma et al., 2003
), the HFV residues may identify protein interaction sites without the need for multiple structures in a conservation study.
Here, we carry out dynamic mode analysis by the GNM for monomers, taken from their complexed structures. Each complex is the representative of an interface cluster (Keskin et al., 2004
). The vibrational motions of residues in the high-frequency modes are calculated and compared with the structurally conserved residues obtained for each interface cluster (Keskin et al., 2004
, 2005
). Comparisons are also performed with the experimental hot spots for cases where both proteins in the complex were alanine scanned.
Here we provide data indicating similar organizations in protein binding and protein folding. The similarity between the processes has already been implied theoretically and experimentally (reviewed in Tsai et al., 1998
). We use a data set of protein-protein interfaces recently derived from the entire Protein Data Bank (PDB) (Keskin et al., 2004
). By multiply superimposing clustered structurally similar interfaces (Shatsky et al., 2004
), we obtain structurally conserved residues. The identity of the conserved residues correlates with the experimental hot spot residues (Hu et al., 2000
; Ma et al., 2003
). Analysis of the organization of the conserved residues and of the hot spots indicates that they are clustered within locally highly packed regions (Keskin et al., 2005
), consistent with their conservation and their experimentally observed free energy contribution to the binding. Clustered conserved residues in locally highly packed regions are reminiscent of protein cores (Shakhnovich et al., 1996
). Further, as might be expected from tightly packed residues, analysis of their dynamic modes in both cores and interfaces demonstrates that they similarly display high-frequency vibrational motions.
| METHODS |
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-atoms. The interactions between the residues within the first interaction shell (7 Å) (Miyazawa and Jernigan, 1985
(Tirion, 1996
-atoms. According to the GNM, the equilibrium mean-square fluctuations of individual residues can be decomposed into a series of modes from highest to slowest. The ith eigenvalue
i is representative of the frequency of the ith mode of motion (which is (
i) 1/2), and the ith eigenvector gives the shape of this mode as a function of the residue index. The slowest mode usually describes the global motions (Wu and Ma, 2004
The interface data set
We use a diverse, nonredundant data set of protein-protein interfaces (Keskin et al., 2004
). We divide the interface residues into two types: two residues (one from each chain), which are in direct contact are called interacting residues. Residues in the vicinity of interacting residues are "nearby" residues. Structurally conserved interacting and nearby residues were extracted for each of the 103 interface clusters by multiple structure alignment of the cluster members, using MultiProt (Keskin et al., 2004
; Shatsky et al., 2004
). Residues are defined as conserved if their conservation ratio is >0.5. The conservation ratio is the ratio of the number of identical residues to the number of all types of residues at a specific position in the structural alignment of the interfaces. The data set is at http://protein3d.ncifcrf.gov/
keskino and http://home.ku.edu.tr/
okeskin/INTERFACE/INTERFACES.html. MultiProt is at http://bioinfo3d.cs.tau.ac.il/MultiProt. The alanine scanning data have been taken from ASEbd (Thorn and Bogan, 2001
).
Clustering the high-frequency vibrating residues in space
Residues identified as HFV residues are pooled. To cluster, we calculate the distance between each HFV pair. The number of neighbors is computed for each HFV residue with a distance cutoff of 12 Å. The residue with the highest number of neighbors is considered as the center of the first cluster. All neighbors of this HFV residue are removed from the pool. The center of the second cluster is similarly determined using the new pool of the HFV residues. This procedure is repeated until each HFV residue is assigned to a cluster. To assess the robustness of the clustering, we test distance cutoffs of 8, 10, and 12 Å. This simple clustering method is presented schematically for a number of hypothetical HFV residues in Appendix A.
| RESULTS AND DISCUSSION |
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Comparison of high-frequency vibrating residues with structurally conserved and hot spots residues
The normalized mode shape is described by the vibrations versus residue index along the kth mode. The peaks identify residues that display local vibrations. Two parameters are set to identify a HFV residue from the associated mode shape: the threshold for the lower value of the height of the peaks and the number of fastest modes to be incorporated into the weighted average. The threshold is set >0.005. The number of fast modes is set to be proportional to the protein size (here, 4). On average, the number of residues in peaks above the threshold corresponds to <15% of the protein size. The parameters are optimized over the 90 monomers for the best match between the high-frequency fluctuating residues and the structurally conserved residues. The monomers derive from the clusters' representatives (Keskin et al., 2004
). The PDB codes are given in Appendix B.
Fig. 1 a displays an example of the distribution of the mean-square vibrations in the weighted average of the four fastest modes for monomer A from the complex of a serine protease inhibitor (PDB, 1tfx), the representative of one interface cluster. Here, there are 26 HFV residues grouped into one cluster (Fig. 1 b, green). As may be seen in Fig. 1 a, the structurally conserved residues correlate with the HFV residues. Fig. 1 c displays an example of the correlation of the HFV residues with the hot spot residues from the alanine scanning database, ASEdb (Thorn and Bogan, 2001
) for the ribonuclease inhibitor-angiogenin complex. Interestingly, all other peaks also correlate with functional residues. Those residues were reported as involved in hydrogen bond interactions and forming contacts at the interface (Tables II and III in Papageorgiou et al., 1997
). The high-frequency peaks look periodic due to the structural properties of this repeat protein. Appendix C enumerates the cases we have used.
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As a complementary analysis, we identify the centers, either
-carbon or side-chain centroids of the residues closest to each conserved residue, from the high-frequency peaks by GNM and by random sampling. Fig. 4 a compares the average distribution of the distances of the closest 15 centers to a conserved residue for the two types of cases. This analysis appears to display the enriched existence of the HFV residues in the first coordination shell of a conserved residue in the native packing, versus the shift of the distribution toward the second coordination shell of the conserved residues in the random packing. The number of sites, 15, may represent
7.5 residues, which is close to the average size of a HFV residue cluster. On the other hand, Fig. 4 b shows that if we take different values to define nearby residues, the distance of the peaks (of the distributions of the closest center distances) from a conserved residue vary. As the number of neighboring sites by GNM and by random sampling to a conserved residue is increased, the peaks of the distributions level off at a distance
6.5 and
10.5 Å, respectively.
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The analysis above was carried out with the clusters' representatives (Keskin et al., 2004
). To assess the robustness of the distribution of the vibrations in the fastest modes for different structures in the same interface cluster, for one cluster (the transferases; PDB codes, 10gs, 1b48, 1f2e, 1gwc, 1axd, 1c72, 1gnw, 1jlv, 1pd2), the calculations were carried out for all cluster members. The results indicate that the high-frequency fluctuating residues occur at similar positions in all cluster interfaces (not shown).
High-frequency vibrating residues in the interfaces versus the rest of the surface
The residues at the peaks in the fastest mode shapes are mapped. The interface data set (Keskin et al., 2004
) was used as a benchmark. Our goal is to see whether HFV residues can be used to distinguish between the interfaces and the rest of the surface. Previously, we have shown that conserved residues distinguish between the two (Ma et al., 2003
). However, for structurally conserved residues, multiple structures are needed. Because HFV residues correlate with conserved residues, they might be used directly for this purpose, making it sufficient to have a single structure for binding site prediction.
In the analysis, we consider a shell of 7 Å from the surface. The number of the HFV residues in contact with both (interface, surface) regions is calculated. Surface residues are identified using ACCESS (Lee and Richards, 1971
). The surface area for each residue is calculated and compared with the residue in Gly-X-Gly (Chothia, 1975
). Here, a residue is exposed if its accessible surface area is >20% of the residue accessible surface area in extended conformation. Fig. 5 displays the (normalized) numbers of HFV residues overlapping with interface residues versus the rest of the surface for the 100 monomers. The results indicate that the HFV residues distinguish between the interfaces and the rest of the surfaces, just as the structurally conserved residues and the hot spot residues do. The results with <10% outliers are in agreement with the overlap of the HFV residues with the structurally conserved residues at the interfaces. The outliers are listed in the figure caption. Most are the same as in the correlation with the structurally conserved residues.
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| CONCLUSIONS |
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Here, we further observe that HFV residue clusters distinguish binding sites from the remainder of the protein surface. Previously, to computationally differentiate between the two, multiple structures were needed to detect conserved residues. Here we show that analysis of single structures and detection of regions of HFV residues may be sufficient to identify the location of protein binding sites with a relatively high probability.
The validation of the proposition that binding and folding are similar processes leads us to several conclusions: i), it confirms the evolutionary origin of split genes (Marcotte et al., 1999
), and ii), it provides support to the hierarchical model of protein folding. Moreover, iii), it suggests that proteins can be combinatorially designed by fusing relatively stable substructures derived from different native proteins. It further supports iv), a similarity in scoring schemes in binding and folding, except for the relative contributions of the hydrophobic effect versus electrostatic interactions. It implies v), that as in folding, local packing is an extremely important factor in stabilizing protein associations, rationalizing the residue conservation and the experimental hot spots. Above all, vi), it fits with the general principles of chemistry of molecular organization, whether in subdomains, domains, subunit associations, and macromolecular assemblies, whether of native proteins or in amyloid fibrils.
| APPENDIX A |
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| APPENDIX B |
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1kbA (AB); 1kbB (AB); 1tfxA (AC); 1tfxC (AC); 1if3A (AC); 1if3C (AC); 1tf6B (BD); 1c41A (AB); 1c41B (AB); 11ejoH (HP); 1bjjB (BC); 1bjjC (BC); 1i10A (AC); 1i10C (AC); 1c72A (AB); 1c72B (AB); 1abrA (AB); 1abrB (AB); 1sbwA (AI); 1sbwI (AI); 1fj1A (AF); 1fj1F (AF); 1dz1A (AB); 1dz1B (AB); 1fntG (Ge); 1b77A (AC); 1b77C (AC); 1d9kC (CP); 1bj1H (HW); 1fj1D (DE); 1fj1DE (DE); 1lmkA (AE); 1lmkE (AE); 1bev1 (13); 1bev3 (13); 1as4A (AB); 1as4B (AB); 1g1kA (AB); 1g1kB (AB); 1is7A (AL); 1is7L (AL); 1rvf1 (14); 1rvf4 (14); 1hyrB (BC); 1aw1A (AB); 1aw1B (AB); 1ao3A (AB); 1fq3A (AB); 1irxA (AB); 1irxB (AB); 1ijxC (CD); 1j46A (AB); 1js1Y (XY); 1rbiS (SB); 1a8kA (AC); 1k4wA (AB); 1cov1 (12); 1cov2 (12); 1klfD (DF); 1brbE (EI); 1brbI (EI); 1pmaA (AB); 1pmaB (AB); 1ca7A (AB); 1ca7B (AB); 1bev2 (23); 1bev3 (23); 1qu9A (AB); 1qu9B (AB); 1fntC (CK); 1fntK (CK); 1aoiC (CD); 1aoiD (CD); 1fytB (BD); 1fytD (BD); 1azeA (AB); 1azeB (AB); 1ezvG (FG); 2snIE (EI); 2snII (EI); 1ae1A (AB); 1ae1B (AB); 1dzqA (AB); 1dzqB (AB); 1cd0A (AB); 1cd0B (AB); 1dz4A (AB); 1dz4B (AB); 1cydA (AB); 1cydB (AB); 1dylB (BD); 1d3bA (AF); 1d3bF (AF); 1fpuA (AB); 1fpuB (AB); 1dubA (AC); 1dubC (AC); 1iaqA (AB); 1iaqB (AB); 1azsB (BC).
| APPENDIX C |
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| ACKNOWLEDGEMENTS |
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The research of R. Nussinov in Israel was supported in part by the Center of Excellence in Geometric Computing and its Applications, funded by the Israel Science Foundation (administered by the Israel Academy of Sciences). This project has been funded in whole or in part with federal funds from the National Cancer Institute, National Institutes of Health, under contract No. NO1-CO-12400. T.H. greatly acknowledges the State Planning Organization of Bogazici University grant No. 01K120280 and Bogazici University research grant No. 02HA501, Turkish Academy of Sciences, in the framework of the Young Scientist Award Program (EA-TUBA-GEBIP/2001-1-1).
The publisher or recipient acknowledges the right of the U.S. government to retain a nonexclusive, royalty-free license in and to any copyright covering the article.
Submitted on August 13, 2004; accepted for publication November 24, 2004.
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