- Research article
- Open Access
Ensemble approach to predict specificity determinants: benchmarking and validation
© Chakrabarti and Panchenko; licensee BioMed Central Ltd. 2009
- Received: 02 February 2009
- Accepted: 02 July 2009
- Published: 02 July 2009
It is extremely important and challenging to identify the sites that are responsible for functional specification or diversification in protein families. In this study, a rigorous comparative benchmarking protocol was employed to provide a reliable evaluation of methods which predict the specificity determining sites. Subsequently, three best performing methods were applied to identify new potential specificity determining sites through ensemble approach and common agreement of their prediction results.
It was shown that the analysis of structural characteristics of predicted specificity determining sites might provide the means to validate their prediction accuracy. For example, we found that for smaller distances it holds true that the more reliable the prediction method is, the closer predicted specificity determining sites are to each other and to the ligand.
We observed certain similarities of structural features between predicted and actual subsites which might point to their functional relevance. We speculate that majority of the identified potential specificity determining sites might be indirectly involved in specific interactions and could be ideal target for mutagenesis experiments.
- Receiver Operating Characteristic
- Spatial Distance
- Validation Dataset
- Distance Distribution
- Solvent Accessibility
Proteins within a homologous family usually share a 'general' function while functional specificities may vary within a family. Proteins belonging to subgroups (subfamilies) may evolve slightly different functions and different substrate specificities while maintaining an overall function of a family. Positions that are conserved within subsets of closely related proteins in a given family, but are variable between the subsets, are likely to be involved in functional specificity [1–4]. These sites generally determine the protein specificity either by binding to specific substrate or through interaction with specific protein partner. In many cases, comparative techniques allow one to assign common specificity to groups of proteins, and thus provide data for analysis of specificity determining residues in protein sequences .
Several computational techniques have been designed to predict specificity determining sites. The evolutionary trace method identified invariant specific residues by partitioning the phylogenetic tree into subgroups of similar sequences [6, 7]. Various site-specific conservation scores have been offered to distinguish conserved functionally important sites from the background of neutral changes, such as relative entropy, mutual entropy or "sequence harmony" [8–17]. Other methods have overcome the limitation of requirement of pre-defined subgrouping by simultaneous identification of optimal groups and specific conserved positions [18, 19]. In our previous study  we reported a method that encodes the specific conservation pattern within and between subfamilies using amino acids' physico-chemical properties and the evolutionary rates.
Despite several recent efforts, successful prediction of specificity determining sites (called "subsites" hereafter) still remains to be a difficult task. On one hand, the lack of success might be caused by the limited availability of experimentally characterized subsites which, in turn, can make the methods to be biased toward the prediction of certain types of subsites. Moreover, the specificity may be affected by subtle changes in residue stereochemistry which can be difficult to detect and in many cases subsites are located on flexible or disordered loops that are difficult to characterize. Therefore, a comparative analysis of subsite prediction methods on a larger, comprehensive dataset will provide a reliable evaluation revealing the weak and strong points of each method. Additionally, a meta-prediction approach combining the results from best performing methods would be also useful for identification of new potential subsites. It should be mentioned that division of protein families into subfamilies is also a crucial step and requires careful manual intervention. However, reasonable success of several recent methods [9, 18, 21, 22] is encouraging to advocate use of automated subgrouping in specificity site prediction.
In this study, prediction performances of almost all available methods were tested and validated using a comprehensive dataset comprising 20 protein families for which experimental data are available for subsites. Several additional potential subsites were also predicted by combining the results of methods showing the best performance on the benchmark of 20 families (using our dataset), SPEER  GroupSim  and MultiRELIEF . Potential subsites, commonly predicted either by all three best methods (C3 sites) or by any two (C2 sites) can be excellent targets for mutagenesis studies to reveal specificity determining sites. We also showed that the analysis of structural characteristics of actual and predicted subsites might provide the means to validate the prediction accuracy.
Performance evaluation of subsite prediction methods
Comparison of ROC n statistics for different methods (see Methods for definition).
0.12 ± 0.009
0.22 ± 0.014
0.40 ± 0.011
0.54 ± 0.009
0.80 ± 0.005
0.08 ± 0.011
0.20 ± 0.013
0.36 ± 0.011
0.53 ± 0.009
0.78 ± 0.005
0.11 ± 0.010
0.16 ± 0.009
0.32 ± 0.014
0.50 ± 0.011
0.78 ± 0.006
0.04 ± 0.005
0.08 ± 0.008
0.22 ± 0.008
0.33 ± 0.005
0.70 ± 0.007
0.02 ± 0.010
0.06 ± 0.008
0.16 ± 0.010
0.30 ± 0.012
0.62 ± 0.005
Prediction of potential subsites and their structural properties
Based on the performance assessment using the validation dataset (195 subsites from 20 family alignments) three best performing methods, namely SPEER  GroupSim  and MultiRELIEF  were further employed to identify new potential subsites. Results (top 15 predicted sites excluding the actual subsites) from these three methods were compared and sites that were commonly predicted by all three methods (C3 sites) or by any pair of methods (C2 sites) were selected as new potential subsites. Additional file 3 provides a list of such 264 new potential subsites (135 C3 sites, 129 C2 sites) for all families.
Since the sets of C3 and C2 sites do not include actual subsites and are not assigned any combined rank and score (this would require combining scores from different methods which is a non-trivial task), it is difficult to validate the performance of the ensemble approach. To estimate the performance, we defined subsites predicted by three or two methods (top 15 predicted sites including actual subsites; C3 and C2 sites). Altogether we identified 141 such C3 and 129 C2 sites, calculated the PR statistics and compared it with each individual method (Additional file 4). Expectedly, C3' and C2' sites provide better reliability (precision) than sensitivity (recall) compared to individual prediction methods.
Distribution of spatial distances
Understandably, experimental validation is the most authentic verification process for the predicted subsites. But, in the absence of such rigorous protocol one alternate way would be to examine structural features which are characteristic for actual subsites (such as the distribution of their spatial distances, solvent accessibility, secondary structural content and hydrogen bonding patterns) and to compare them with the characteristic structural features of predicted subsites.
Figure 2b shows the spatial distances of actual and potential subsites from the specific substrate/ligands. As can be seen from this figure, the larger fraction (66%) of actual subsites is found to be in close contact (<= 10 Å) to substrates/ligands compared to C3 and C2 sites (52 and 46% respectively). This difference is even more prominent at a closer range (<= 5 Å) where 43% of actual subsites are found compared to only 17% C3 and 12% C2 sites. This might indicate the possibility of indirect interactions of C3 and C2 sites with the specific substrate/ligands. It shows that combining more reliable methods' predictions (C3 sites) provides better agreement with the actual subsite-ligand distance – another indication that the analysis of distance distribution patterns can provide the means to validate the prediction accuracy.
Structural properties of actual and predicted subsites
Examples of predicted subsites
For nucleotidyl cyclase family both actual subsites were identified by SPEER, GroupSim and MultiRELIEF within 15% error rate (Figure 4b). Eight potential C3 sites and three C2 sites fall within 10 Å distance from the specific activator (forskolin; shown in purple) or P-site inhibitor molecules (2'-deoxy-3'-AMP and pyrophosphate; shown in cyan).
SPEER and GroupSim successfully predicted both actual subsites (D189 and A221) for the serine protease family while MultiRELIEF failed to identify one subsite (D189) within 15% error rate. However, there are seven sites besides actual subsites that were commonly predicted by all three methods. Figure 4c provides a representative structure of trypsin with the actual subsites and commonly predicted subsites (C3 and C2 sites). All C3 sites reside less than 10 Å apart from the specificity determining serine residue (marked in purple) whereas three C2 sites reside within 5 Å from the serine residue.
Finally, nine C3 and seven C2 sites were identified for the lactate-malate dehydrogenase (LDH_MDH) family. Figure 4d shows a representative structure of lactate dehydrogenase complexed with cofactor, NAD (marked in cyan in Figure 4d) and ligand, oxamate. Predicted C3 and C2 sites were also projected onto the lactate dehydrogenase structure. 3D structural images were generated using the PyMOL software .
Prediction of potential subsites using automatic family clustering
Spatial distances among the C3 and C2 sites were also analyzed. It has been observed that 90% of C3 sites are located within 20 Å distance with respect to each other (Additional file 7) whereas 80% of C2 sites reside within 20 Å distance. Overall, we observed similar distributions of structural properties of potential (C3 and C2) subsites from prediction testset and C3 and C2 sites identified from validation testset (Figure 2, Additional file 8). One exception is the solvent accessibility which tends to be larger for potential sites from the prediction testset.
It is extremely difficult task to detect features that are responsible for protein functional divergence and further differentiate evolutionary changes leading to new specificities. Indeed, despite numerous efforts in predicting the specificity determining sites, the accuracy remains limited as most methods are not sensitive enough to detect small variations between subsites. An alternate approach to the underlying problem has been examined here, where several prediction methods were simultaneously employed for detection of subsites within protein families. This ensemble approach combining best performing methods not only validates the performance of the available prediction methods but, also provides reliability of the new prediction. The performance of five methods, namely, SPEER  GroupSim , MultiRELIEF , SDPpred , and SPEL  were evaluated in 20 well studied protein families. These families provide accurate alignments, reliable subgroup identifications and the locations of subsites. Although all methods identified majority of actual subsites, SPEER, GroupSim and MultiRELIEF performed better and reached reasonable sensitivities of 54%, 38% and 40% at 5% error rates. Importantly, several other sites (Additional file 3) were commonly predicted by three best performing methods (135 C3 sites) or by any pair of methods (129 C2 sites). These sites might also be important in determining the specificity and therefore can be ideal targets for mutagenesis experiments.
Our analysis of structural characteristics first showed that if we use an ensemble of three best methods, the distance distribution of potential subsites has a higher similarity to the distribution of actual subsites for distances less than 20 Å. Interestingly, we observed a smaller fraction of C3 and C2 sites at larger distances compared to the actual subsites. We observed a similar distribution pattern while studying the coevolution of subsites in our previous work  with 40% of coevolved subsite pairs located at distances more than 20 Å. Possible explanations for this long-range evolutionary coupling can include the possibility of allosteric regulation, or formation of nonsymmetrical homodimers. As judged from the comparison of distance distributions, the subsites which are closer to each other in space seem to be easier to predict by existing methods. The analysis of hydrogen bonding, solvent accessibility and secondary structure content showed that, overall, distributions of structural properties are quite similar for actual and potential subsites indicating their similar involvement in determining the specificity in protein families.
Further, new potential subsites were predicted for six other protein families where subgrouping of the sequences was done by an iterative automated clustering optimization procedure. Even though the actual subsites were not available for these families, we were able to observe certain similarities of structural features between predicted and actual subsites which might point to their functional relevance.
Datasets of protein families and subsites
Reliable manually curated alignments were collected from different sources for 20 families for which experimental evidence was available on the locations of most of the subsites (see Additional files 9 and 10 for description). Each of these families (along with their subsites) was previously used in separate studies [20, 11–13, 17, 18, 25]. The alignments were constructed by existing alignment methods and were subjected to the additional round of careful manual curation. The family alignments were grouped into subfamilies based on different criteria including sequence and structural properties, kinetic properties, substrate specificity, taxonomy, and function [20, 11–13, 17, 18, 25].
In this study the experimentally annotated subsites ("actual" subsites, 195 in total) were pooled together and used as gold standards to compare and validate the performance of several prediction methods ("validation testset"). Details about the families can be found in Additional file 11. Alignments, location of subsites and the SPEER program are available via ftp://ftp.ncbi.nih.gov/pub/SPEER.
We also predicted subsites for six protein families obtained from Proteinkeys database, version 0.81 beta http://www.proteinkeys.org/proteinkeys/ where sequence subgrouping was done by the automated clustering procedure ("prediction testset"). Subgrouping of the sequences in Proteinkeys database was done by an iterative automated optimization procedure to cluster similar sequences with optimal separation. Each individual family alignment was clustered into subgroups through utilization of optimization coefficient A (0<A<1). Typically, the optimal value of A falls between 0.65 and 0.85, therefore a default value of A was taken to be 0.75. Six families from "prediction testset" which were used to identify new potential subsites included: ADP specific phosphofructokinase/glucokinase, DUF498/DUF598, guanine nucleotide exchange factor(GEF)-Ras like GTPases, p21-Rho binding domain, Raf-like Ras-binding domain, and Ras association (RalGDS/AF-6) domain families. Only those Proteinkeys families were selected for the current study where total number of subgroups did not exceed twenty and every subgroup was represented by at least three protein sequences (altogether six families in prediction dataset; Additional file 5).
Subsite prediction methods
Five computational methods, SPEER  GroupSim , MultiRELIEF , SDPpred  and SPEL  were applied on the validation dataset (20 families; 195 subsites) to identify the subsites. We also tried to employ two other methods, Sequence Harmony (SH; 13) and Treedet [9, 10]. However, SH works only for families with two subgroups whereas 30% of our dataset families contain more than 2 subgroups or subfamilies. Similarly, Treedet server is restricted to input alignment length and provided (using default parameters) results for only 50% of the families within the validation dataset. Therefore, prediction results from these two methods were not included in this study.
Any individual method does not perform equally well to identify all different types of specificity determining sites  and those sites which are predicted simultaneously by several top methods are more reliably predicted compared to only one method used. Given that the prediction methods perform better than random any combined approach should be an improvement. S ubsequently, results from the three best performing methods in the validation test, namely SPEER, GroupSim, and MultiRELIEF were compared and combined to predict potential subsites in addition to the actual subsites. Similarly, these three methods were also applied on the prediction testset obtained from the Proteinkeys database. A short description of each method is given below. The perl script providing such combined approach in predicting subsites is available at ftp://ftp.ncbi.nih.gov/pub/SPEER/Create-C3-C2-Sites/. To distinguish subsites from globally conserved sites we excluded from the subsite set those highly conserved positions within the overall alignment where any amino acid type was represented more than 80% of the time (only one highly conserved subsite was present among 195 actual subsites).
SPEER (Specificity prediction using amino acids' Properties, Entropy and Evolution Rate)
SPEER  combines Euclidean distances based on amino acids' physico-chemical properties, evolutionary rate and combined relative entropy to predict subsites. All three terms account for the variability of sites within the subfamilies in terms of their physico-chemical properties, evolutionary rates and amino acid types. The first and the third terms also approximate the variability of physico-chemical properties and amino acid types between the subfamilies. As the background conservation levels may vary substantially between different protein families, each of the three scores is normalized using the background score distribution of the family alignment. The linear combination of three normalized scores, termed as SPEER score is used to predict the subsites.
GroupSim  is a sequence based subsite prediction method, which compares average similarity of amino acids within and between subgroups. The average similarity of amino acids is calculated using a similarity matrix (identity matrix) for each subgroup in the alignment. The GroupSim score is the average within-group similarity minus the average between-group similarity. Higher scores indicate a greater likelihood to be a subsite. This program also employs an accessory heuristic module, 'ConsWin' that considers sequence conservation of neighboring amino acids as well.
MultiRELIEF  uses 'local' sequence conservation properties for identification of subsites. This approach utilizes a machine learning technique for feature weighting, called RELIEF, which exploits the 'local' sequence space for discriminating samples (sequences) from two subgroups [26, 27]. RELIEF assigns a weight to features (sites) according to their ability to separate different samples or subgroups. The subsites are predicted based on the maximum weight which is calculated iteratively as a Hamming distance between a given sequence and the nearest sequence from another subgroup minus Hamming distance between a given sequence and its nearest neighbor from the same subgroup. MultiRELIEF can handle multiple subgroups by random sub-sampling of pairs of subgroups. It should be mentioned that MultiRELIEF can also exploit 3D structure information by increasing the weight of residues that have high number of contacts with other residues. However, this option is not used in the current study as none of the other methods use additional structural information, which is not always available.
SDPpred (Specificity Determining Position prediction)
SDPpred  utilizes mutual information to identify the positions that are conserved within the subgroups but differ between them. SDPpred takes into account the similarity between the amino acids in the form of amino acid substitution matrices. To estimate the statistical significance of the obtained values of mutual information, it shuffles each column to calculate the Z-score. SDPpred also attempts to account for the background similarity between proteins by calculating the expected mutual information for each column.
SPEL (Specificity Positions by Evolutionary Likelihood)
SPEL  utilizes evolutionary log-likelihood of amino acid distribution to detect subsites. It should be mentioned that SPEL does not require a predetermined subgroup definition which puts it in the separate group compared to other tested methods. A phylogenetic tree is reconstructed from the multiple sequence alignment, and P-values of an evolutionary likelihood-based score for alignment positions are estimated from a random model that eliminates any functional specificity signal. Positions with low P-values are likely to be important for functional specificity.
Evaluation of prediction accuracy
The performance of various prediction methods were evaluated using the actual subsite information from validation dataset and by calculating the Receiver Operating Characteristics (ROC) curves and ROC statistics. For a given alignment, the sensitivity and error rates were estimated based on the number of true positives (correctly predicted actual subsites) and false positives (incorrectly predicted actual subsites) found above each score cutoff. Sensitivity (TP/TP+FN) was defined as the number of true positives (TP) found at each score threshold divided by the sum of true positives and false negatives (FN), where false negatives are defined as actual subsites below the score threshold. Error rate (FP/FP+TN) was estimated as the number of false positives (FP) divided by the sum of false positives and true negatives (TN, non-subsites below the score threshold). Each method's performance was also evaluated by estimating the ROC n statistics  where the sum of the number of true positives corresponding to 1, 2, 3,...n false positives on the ROC curve (ti) was normalized by the sum of true positives and false negatives: T = (TP+FN), ROC n = (Σi = 1,...,nt i )/nT. Standard deviations of ROC statistics were estimated analytically using expressions provided in Schaffer et al, 2001 . Precision (TP/TP+FP) and Recall or Sensitivity (TP/TP+FN) curve was also derived to compare the performance of each method.
Calculation of spatial distances and structural properties
Representative 3D structures were collected for each family from the PDB database . Spatial distances were calculated using atom coordinates supplied in the individual PDB file. Structural properties such as solvent accessibility, secondary structures, and hydrogen bonds were computed from the protein structure using the JOY package . Solvent accessibility was measured using the PSA program from the JOY package and residues that have an accessible surface area less than 7% were treated as solvent buried or inaccessible. Similarly, secondary structures (helix, strand and coil) and hydrogen bonding patterns were estimated using the SSTRUC and HBOND programs from the JOY package , respectively.
Mikhail S. Gelfand is acknowledged for kindly providing the alignments of IDH_IMDH family. The authors also thank Iain M. Wallace for providing the alignments of serine protease, nucleotidyl cyclase and LDH_MDH families. This work was supported by the Intramural Research Program of the National Library of Medicine at National Institutes of Health/Department of Health and Human Services.
- Ohno S: Evolution by gene duplications. Springer-Verlag, Berlin; 1970.View ArticleGoogle Scholar
- Doolittle RF: Similar amino acid sequences: chance or common ancestry? Science 1981, 214: 149–159.View ArticlePubMedGoogle Scholar
- Gu X: Statistical methods for testing functional divergence after gene duplication. Mol Biol Evol 1999, 16: 1664–1674.View ArticlePubMedGoogle Scholar
- Gu X: Maximum-likelihood approach for gene family evolution under functional divergence. Mol Biol Evol 2001, 18: 453–464.View ArticlePubMedGoogle Scholar
- Hannenhalli SS, Russell RB: Analysis and prediction of functional sub-types from protein sequence alignments. J Mol Biol 2000, 303: 61–76.View ArticlePubMedGoogle Scholar
- Lichtarge O, Bourne HR, Cohen FE: An evolutionary trace method defines binding surfaces common to protein families. J Mol Biol 1996, 257: 342–358.View ArticlePubMedGoogle Scholar
- Ward RM, Venner E, Daines B, Murray S, Erdin S, Kristensen DM, Lichtarge O: Evolutionary Trace Annotation (ETA) Server: Automated Enzyme Function Prediction in Protein Structures Using 3D Templates. Bioinformatics 2009, 25: 1426–1427.View ArticlePubMedGoogle Scholar
- Mirny L, Gelfand MS: Using orthologous and paralogous proteins to identify specificity- determining residues in bacterial transcription factors. J Mol Biol 2002, 321: 7–20.View ArticlePubMedGoogle Scholar
- del Sol A, Pazos F, Valencia A: Automatic methods for predicting functionally important residues. J Mol Biol 2003, 326: 1289–1302.View ArticlePubMedGoogle Scholar
- Carro A, Tress M, de Juan D, Pazos F, Lopez-Romero P, del Sol A, Valencia A, Rojas AM: TreeDet: a web server to explore sequence space. Nucleic Acids Res 2006, 34: W110–115.PubMed CentralView ArticlePubMedGoogle Scholar
- Kalinina OV, Mironov AA, Gelfand MS, Rakhmaninova AB: Automated selection of positions determining functional specificity of proteins by comparative analysis of orthologous groups in protein families. Protein Sci 2004, 13: 443–456.PubMed CentralView ArticlePubMedGoogle Scholar
- Kalinina OV, Novichkov PS, Mironov AA, Gelfand MS, Rakhmaninova AB: SDPpred: a tool for prediction of amino acid residues that determine differences in functional specificity of homologous proteins. Nucleic Acids Res 2004, 32: W424–428.PubMed CentralView ArticlePubMedGoogle Scholar
- Pirovano W, Feenstra KA, Heringa J: Sequence comparison by sequence harmony identifies subtype-specific functional sites. Nucleic Acids Res 2006, 34: 6540–6548.PubMed CentralView ArticlePubMedGoogle Scholar
- Donald JE, Shakhnovich EI: Predicting specificity-determining residues in two large eukaryotic transcription factor families. Nucleic Acids Res 2005, 33: 4455–4465.PubMed CentralView ArticlePubMedGoogle Scholar
- Reva B, Antipin Y, Sander C: Determinants of protein function revealed by combinatorial entropy optimization. Genome Biol 2007, 8: R232.PubMed CentralView ArticlePubMedGoogle Scholar
- Capra JA, Singh M: Characterization and prediction of residues determining protein functional specificity. Bioinformatics 2008, 24: 1473–1480.PubMed CentralView ArticlePubMedGoogle Scholar
- Ye K, Feenstra KA, Heringa J, Ijzerman AP, Marchiori E: Multi-RELIEF: a method to recognize specificity determining residues from multiple sequence alignments using a Machine-Learning approach for feature weighting. Bioinformatics 2008, 24: 18–25.View ArticlePubMedGoogle Scholar
- Pei J, Cai W, Kinch LN, Grishin NV: Prediction of functional specificity determinants from protein sequences using log-likelihood ratios. Bioinformatics 2006, 22: 164–171.View ArticlePubMedGoogle Scholar
- Marttinen P, Corander J, Toronen P, Holm L: Bayesian search of functionally divergent protein subgroups and their function specific residues. Bioinformatics 2006, 22: 2466–2474.View ArticlePubMedGoogle Scholar
- Chakrabarti S, Bryant SH, Panchenko AR: Functional specificity lies within the properties and evolutionary changes of amino acids. J Mol Biol 2007, 373: 801–810.PubMed CentralView ArticlePubMedGoogle Scholar
- Brown DP, Krishnamurthy N, Sjölander K: Automated protein subfamily identification and classification. PLoS Comput Biol 2007, 3: e160.PubMed CentralView ArticlePubMedGoogle Scholar
- Krishnamurthy N, Brown D, Sjölander K: FlowerPower: clustering proteins into domain architecture classes for phylogenomic inference of protein function. BMC Evol Biol 2007, 7(Suppl 1):S12.PubMed CentralView ArticlePubMedGoogle Scholar
- DeLano WL: The PyMOL Molecular Graphics System. In DeLano Scientific. Palo Alto, CA, USA; 2002.Google Scholar
- Chakrabarti S, Panchenko AR: Coevolution in defining the functional specificity. Proteins 2009, 75: 231–240.PubMed CentralView ArticlePubMedGoogle Scholar
- Wallace IM, Higgins DG: Supervised multivariate analysis of sequence groups to identify specificity determining residues. BMC Bioinformatics 2007, 8: 135–146.PubMed CentralView ArticlePubMedGoogle Scholar
- Kononenko I: gEstimating attributes: analysis and extensions of relief. In European Conference on Machine Learning volume LNCS 784. Edited by: Bergadano F, De Raedt L. Springer-Verlag New York, Secaucus, NJ, USA; 1994:171–182.Google Scholar
- Marchiori E, Pirovano W, Heringa J, Feenstra KA: A Feature Selection Algorithm for Detecting Subtype Specific Functional Sites from Protein Sequences for Smad Receptor Binding. In The Fifth International Conference on Machine Learning and Applications (ICMLA'06). IEEE; 2006:168–173.View ArticleGoogle Scholar
- Schäffer AA, Aravind L, Madden TL, Shavirin S, Spouge JL, Wolf YI, Koonin EV, Altschul SF: Improving the accuracy of PSI-BLAST protein database searches with composition-based statistics and other refinements. Nucleic Acids Res 2001, 29: 2994–3005.PubMed CentralView ArticlePubMedGoogle Scholar
- Berman HM, Westbrook J, Feng Z, Gilliland G, Bhat TN, Weissig H, Shindyalov IN, Bourne PE: The Protein Data Bank. Nucleic Acids Res 2000, 28: 235–242.PubMed CentralView ArticlePubMedGoogle Scholar
- Mizuguchi K, Deane CM, Blundell TL, Johnson MS, Overington JP: JOY: protein sequence-structure representation and analysis. Bioinformatics 1998, 14: 617–623.View ArticlePubMedGoogle Scholar
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