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Protein Structure Comparison by Alignment of Distance Matrices
Abstract
With a rapidly growing pool of known tertiary structures, the importance of protein structure comparison parallels that of sequence alignment. We have developed a novel algorithm (DALI) for optimal pairwise alignment of protein structures. The three-dimensional co-ordinates of each protein are used to calculate residue-residue (C alpha-C alpha) distance matrices. The distance matrices are first decomposed into elementary contact patterns, e.g. hexapeptide-hexapeptide submatrices. Then, similar contact patterns in the two matrices are paired and combined into larger consistent sets of pairs. A Monte Carlo procedure is used to optimize a similarity score defined in terms of equivalent intramolecular distances. Several alignments are optimized in parallel, leading to simultaneous detection of the best, second-best and so on solutions. The method allows sequence gaps of any length, reversal of chain direction and free topological connectivity of aligned segments. Sequential connectivity can be imposed as an option. The method is fully automatic and identifies structural resemblances and common structural cores accurately and sensitively, even in the presence of geometrical distortions. An all-against-all alignment of over 200 representative protein structures results in an objective classification of known three-dimensional folds in agreement with visual classifications. Unexpected topological similarities of biological interest have been detected, e.g. between the bacterial toxin colicin A and globins, and between the eukaryotic POU-specific DNA-binding domain and the bacterial lambda repressor.
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“The templates were pairwise structurally aligned according to DALILite (41,42), using HIF-2 α as a reference. The sequence alignments were obtained by CLUSTALW (43), and the result was confirmed using the Align-2D command within the MODELLER program (37-39).”
From Structural and Functional Characterization of the Aryl Hydrocarbon Receptor Ligand Binding Domain by Homology Modeling and Mutational Analysis (2007) · cites this paper as [41]
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“Columns include the the DENV protein’s Entrez Protein accession or PDB code, and name; the A. aegypti target protein’s VectorBase protein ID, Uniprot accession, and if it is a known host factor; the human target protein’s Uniprot accession, Symbol, if it is a known host factor, and if the human interaction was already…”
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MethodRowland, P., NIELSEN, F. S., Jensen, K. F., & Larsen, S. (1997) · Structure · doi:10.1016/s0969-2126(97)00182-2 · Cited by 97
“A search for structurally similar proteins was carried out using the program DALI [13].”
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van Raaij, M. J., Louis, N., Chroboczek, J., et al. (1999) · Virology · doi:10.1006/viro.1999.9849 · Cited by 98
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Nishino, T., Komori, K., Tsuchiya, D., Ishino, Y., & Morikawa, K. (2005) · Structure · doi:10.1016/j.str.2004.11.008 · Cited by 99
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“HP0525 gave the highest Z-score (Z¼ 23.1), followed by EpsE (Z¼ 13.1) (Holm and Sander, 1993).”
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Substrate binding by a bacterial ABC transporter involved in polysaccharide export
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Yoshida, H., Yamada, M., Nishitani, T., et al. (2007) · Journal of Molecular Biology · doi:10.1016/j.jmb.2007.09.033 · Cited by 96
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Wei, R. R., Schnell, J. R., Larsen, N., et al. (2006) · Structure · doi:10.1016/j.str.2006.04.007 · Cited by 96
“A search (with DALI; Holm and Sander, 1993) of all known structures in the Protein Data Bank did not reveal any structural homologs for Spc24G, Spc25G, or the heterodimer.”
Weber, C., Park, Y., Sanker, S., et al. (1999) · Structure · doi:10.1016/s0969-2126(99)80178-6 · Cited by 96
“Searches of the database of three-dimensional structures for folds related to GCT, using DALI [35], detect members of the DNA polymerase and aminoacyl-tRNA synthetase families that resemble GCT.”
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Dai, H., Shin, O., Machius, M., Tomchick, D., Südhof, T., & Rizo, J. (2004) · Nature Structural &Molecular Biology · doi:10.1038/nsmb817 · Cited by 102
Lima, C. D. (2002) · Journal of Molecular Biology · doi:10.1006/jmbi.2001.5308 · Cited by 97
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Torres, A. M., & Kuchel, P. W. (2004) · Toxicon · doi:10.1016/j.toxicon.2004.07.011 · Cited by 96
Crystal structure of the hexameric replicative helicase RepA of plasmid RSF101011Edited by R. Huber
Niedenzu, T., Röleke, D., Bains, G., Scherzinger, E., & Saenger, W. (2001) · Journal of Molecular Biology · doi:10.1006/jmbi.2000.4398 · Cited by 98
Xu, R., Zhou, J., Liu, B., He, Y., Zou, Q., Wang, X., & Chou, K. (2014) · Journal of Biomolecular Structure and Dynamics · doi:10.1080/07391102.2014.968624 · Cited by 95
“…structures, three-dimensional structures, and side-chain structures; (ii) purely based on the sequence information alone (Altschul et al., 1997; Holm, 1993; Krogh, Brown, Mian, Sjolander, & Haussler, 1994; Margulies et al., 2005; Shendure et al., 2005; Shindyalov & Bourne, 1998; Wheeler,…”
Supervised machine learning algorithms for protein structure classification
Jain, P., Garibaldi, J. M., & Hirst, J. D. (2009) · Computational Biology and Chemistry · doi:10.1016/j.compbiolchem.2009.04.004 · Cited by 95
A conditional neural fields model for protein threading
Ma, J., Peng, J., Wang, S., & Xu, J. (2012) · Bioinformatics · doi:10.1093/bioinformatics/bts213 · Cited by 92
“, 2008), Dali (Holm and Sander, 1993) and our inhouse structure alignment tool DeepAlign.”
BackgroundStructural Basis for NADH/NAD+ Redox Sensing by a Rex Family Repressor
McLaughlin, K. J., Strain-Damerell, C. M., Xie, K., Brekasis, D., Soares, A. S., Paget, M. S. B., & Kielkopf, C. L. (2010) · Molecular Cell · doi:10.1016/j.molcel.2010.05.006 · Cited by 93
“org/pdb) using the DALI server (Holm and Sander, 1993) detected the greatest structural similarity with the diphtheria toxin repressor (DtxR), the unding member of a family of iron-dependent transcription pressors (White et al.”
MethodStructural and Functional Insights into the Roles of the Mms21 Subunit of the Smc5/6 Complex
Duan, X., Sarangi, P., Liu, X., et al. (2009) · Molecular Cell · doi:10.1016/j.molcel.2009.06.032 · Cited by 95
“Comparison of the SPL-RING domain with structures in PDB using the DALI server (Holm and Sander, 1993) revealed that it has similarities with RING structures of several ubiquitin E3s, such as the Ring1b/Bmi1 dimer of the Polycomb complex and c-Cbl (Zheng et al., 2000; Buchwald et al., 2006).”
MethodMaenaka, K., Juji, T., Stuart, D. I., et al. (1999) · Structure · doi:10.1016/s0969-2126(99)80052-5 · Cited by 95
Imamura, H., Fushinobu, S., Yamamoto, M., et al. (2003) · Journal of Biological Chemistry · doi:10.1074/jbc.m213134200 · Cited by 95
Kihara, D., Sael, L., Chikhi, R., et al. (2011) · Current Protein and Peptide Science · doi:10.2174/138920311796957612 · Cited by 95
“Interestingly, the agreement between the 3DZD and the CE is much higher than between CE and DALI [3] (we used the standalone DaliLite program [27]), which is another popular protein structure comparison program that compares the distance map of proteins (Table 1).”
BackgroundMethodOda, Y., Matsunaga, T., Fukuyama, K., et al. (1997) · Biochemistry · doi:10.1021/bi971307m · Cited by 95
Cheon, Y.-H., Kim, H., Han, K.-H., et al. (2002) · Biochemistry · doi:10.1021/bi0201567 · Cited by 95
Smirnova, I. A., Dian, C., Leonard, G. A., et al. (2004) · Journal of Molecular Biology · doi:10.1016/j.jmb.2004.04.071 · Cited by 95
Carboxyl proteinase from Pseudomonas defines a novel family of subtilisin-like enzymes.
Wlodawer, A., Li, M., Dauter, Z., et al. (2001) · Nature Structural Biology · doi:10.1038/87610 · Cited by 94
DWNN, a novel ubiquitin-like domain, implicates RBBP6 in mRNA processing and ubiquitin-like pathways
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The Structure of Bovine Lysosomal α-Mannosidase Suggests a Novel Mechanism for Low-pH Activation
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Carr, S. B., Penfold, C. N., Bamford, V. A., James, R., & Hemmings, A. M. (2000) · Structure · doi:10.1016/s0969-2126(00)00079-4 · Cited by 92
Song, H. K., Mulrooney, S. B., Huber, R., & Hausinger, R. P. (2001) · Journal of Biological Chemistry · doi:10.1074/jbc.m108619200 · Cited by 96
Pereira, P. J. B., Lozanov, V. S., Patthy, A., et al. (1999) · Structure · doi:10.1016/s0969-2126(99)80175-0 · Cited by 94
“However, a DALI search [33] on AAI confirmed that the structurally most similar proteins are μ-agatoxin-i from the funnel-web spider (PDB entry 1eit [34]), gurmarin from Gymnema sylvestre (PDB entry 1gur [35]) and versutoxin from the blue mountains funnel-web spider (PDB entry 1vtx [36]), typical members of the knotti…”
BackgroundPorter, C. J., Schuch, R., Pelzek, A. J., et al. (2006) · Journal of Molecular Biology · doi:10.1016/j.jmb.2006.11.056 · Cited by 94
Convergent algorithms for protein structural alignment
Martı́nez, L., Andreani, R., & Martínez, J. M. (2007) · BMC Bioinformatics · doi:10.1186/1471-2105-8-306 · Cited by 94
“Studies on the classification of proteins available in the Protein Data Bank (PDB) [1] have already provided important insights into the nature of protein evolution and folding [2-4].”
Vivarès, D., Arnoux, P., & Pignol, D. (2005) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0505833102 · Cited by 94
Guo, L., Feng, Y., Zhang, Z., Yao, H., Luo, Y., Wang, J., & Huang, L. (2007) · Nucleic Acids Research · doi:10.1093/nar/gkm1128 · Cited by 93
“Structural similarity was searched using Dali server (24) and SSM server (25).”
MethodBarycki, J. J., O'Brien, L. K., Bratt, J. M., Zhang, R., Sanishvili, R., Strauss, A. W., & Banaszak, L. J. (1999) · Biochemistry · doi:10.1021/bi9829027 · Cited by 92
Sugiura, I., Nureki, O., Ugaji-Yoshikawa, Y., et al. (2000) · Structure · doi:10.1016/s0969-2126(00)00095-2 · Cited by 94
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“A comparison of the structure of terminal protein with those in the structural database using the program DALI (Holm and Sander, 1993) yielded only one match with a Z-score above 4.”
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Ren, H., Wang, L., Bennett, M. S., Liang, Y., Zheng, X., Lu, F., Li, L., Nan, J., Luo, M., Eriksson, S., et al. (2005) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0407459102 · Cited by 93
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MethodCharnock, S. J., Bolam, D. N., Nurizzo, D., Szabó, L., McKie, V. A., Gilbert, H. J., & Davies, G. J. (2002) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.212516199 · Cited by 94
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Coles, M. P., Diercks, T., Liermann, J., et al. (1999) · Current Biology · doi:10.1016/s0960-9822(00)80017-2 · Cited by 93
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Singer, A. U., Waldo, G. L., Harden, T. K., & Sondek, J. (2001) · Nature Structural Biology · doi:10.1038/nsb731 · Cited by 93
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Crystal structure of a human aminoacyl-tRNA synthetase cytokine
Yang, X., Skene, R. J., McRee, D. E., & SCHIMMEL, P. R. (2002) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.242611799 · Cited by 93
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“PB-ALIGN 18+ 17* 14 8 96.6 YAKUSA 17 19 14 8 95 CE 17 19 13 8 93 DALI 14 19 14 8 90 MATRAS 11 19 14 8 85 VAST 12 17 15 7 84 TOP 14 18 12 7 84 DEJAVU 14 19 9 4 75 TOPSCAN 15 12 9 7 70 TOPS 2 15 14 7 62 PRIDE 14 14 7 3 62 LOCK 0 14 11 8 54 SSM 5 13 10 5 54 Table 6.”
BackgroundInfluentialAbbott, D. W., Macauley, M. S., Vocadlo, D. J., et al. (2009) · Journal of Biological Chemistry · doi:10.1074/jbc.m809663200 · Cited by 92
Kashima, H., Tsuda, K., & Inokuchi, A. (2004) · The MIT Press eBooks · doi:10.7551/mitpress/4057.003.0010 · Cited by 92
“In protein engineering, three dimensional structures of proteins are often represented as distance graphs (Holm and Sander, 1993).”
BackgroundComparison of protein active site structures for functional annotation of proteins and drug design
Powers, R., Copeland, J. C., Germer, K., Mercier, K., Ramanathan, V., & Revesz, P. Z. (2006) · Proteins Structure Function and Bioinformatics · doi:10.1002/prot.21092 · Cited by 91
“55 Again, this was based primarily on structural comparison using DALI 56 and VAST, 57 along with the presence of S -adenosyl- L -homocysteine.”
MethodPires, D. E. V., de Melo-Minardi, R. C., dos Santos, M. A., da Silveira, C. H., Santoro, M. M., & Meira, W. (2011) · BMC Genomics · doi:10.1186/1471-2164-12-s4-s12 · Cited by 92
“We can quote, for instance, the search for structural motifs [13-15] and functional residues (such as DNA [16] and metal [17] binding sites), the use of 3D templates [5] and the comparison of protein folds by structure alignments [18,19].”
Yamada, K., KUNISHIMA, N., Mayanagi, K., Ohnishi, T., Nishino, T., Iwasaki, H., Shinagawa, H., & Morikawa, K. (2001) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.98.4.1442 · Cited by 92
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Crystal structure of the amino-terminal domain of N-ethylmaleimide-sensitive fusion protein
May, A. P., Misura, K. M. S., Whiteheart, S. W., & Weis, W. I. (1999) · Nature Cell Biology · doi:10.1038/11097 · Cited by 92
“-cere---------TRTRHLKVSNCPNNSYALANVAAVSPNDFP--------NNIYII---IDNLFVFTTRHSN--DIPPGTIGFNGNQRTWGGWSLNQDVQAKAFDLFKYSGKQSYLGSIDIDISFRA--(24-125) Sec18 -C.”
InfluentialGruez, A., Pignol, D., Zeghouf, M., Covès, J., Fontecave, M., Ferrer, J.-L., & Fontecilla-Camps, J. C. (2000) · Journal of Molecular Biology · doi:10.1006/jmbi.2000.3748 · Cited by 91
Protein structure and evolutionary history determine sequence space topologyPreprint
Shakhnovich, B. E., Deeds, E. J., DeLisi, C., & Shakhnovich, E. I. (2005) · Genome Research · doi:10.1101/gr.3133605 · Cited by 89
“We use DALI29 to make all pairwise structural comparisons and we build structural neighborhoods as described in the text and in Fig1.”
MethodInfluentialLarge-scale prediction of protein-protein interactions from structures
Hue, M., Riffle, M. E., Vert, J., et al. (2010) · BMC Bioinformatics · doi:10.1186/1471-2105-11-144 · Cited by 91
“A natural place to begin, when considering comparisons among protein structures, is with structural alignment algorithms such as CE [20], DALI [21] and MAMMOTH [22].”
MethodStructural and functional analysis of RNA and TAP binding to SF2/ASF
Tintaru, A., Hautbergue, G. M., Hounslow, A. M., et al. (2007) · EMBO Reports · doi:10.1038/sj.embor.7401031 · Cited by 91
“This is highlighted in supplementary Fig S1 online, in which the SF2/ASF fold is overlaid with structurally related proteins identified using the DALI server (Holm & Sander, 1993).”
MethodA common mechanism for ATP hydrolysis in ABC transporter and helicase superfamilies
Geourjon, C., Orelle, C., Steinfels, E., Blanchet, C., Deléage, G., Pietro, A. D., & Jault, J. (2001) · Trends in Biochemical Sciences · doi:10.1016/s0968-0004(01)01907-7 · Cited by 96
Blair, D. E., & van Aalten, D. M. F. (2004) · FEBS Letters · doi:10.1016/j.febslet.2004.06.013 · Cited by 91
“Searches for structural similarity with DALI [22] identified several ðb=aÞ8 proteins, including Tiny-TIM ([23], Fig.”
BackgroundMattevi, A., Tedeschi, G., Bacchella, L., Coda, A., Negri, A. L., & Ronchi, S. (1999) · Structure · doi:10.1016/s0969-2126(99)80099-9 · Cited by 91
“All calculations relating to model validation, model analysis and structure comparisons were carried out with PROCHECK [52], DALI [24], the programs of the CCP4 suite [46] and of the ‘Uppsala Software Factory’ [53].”
BackgroundMethodInfluentialThe Crystal Structure and Mutational Analysis of Human NUDT9
Shen, B. W., Perraud, A.-L., Scharenberg, A. M., et al. (2003) · Journal of Molecular Biology · doi:10.1016/s0022-2836(03)00954-9 · Cited by 91
Molecular insights into the interaction of PYM with the Mago–Y14 core of the exon junction complex
Bono, F., Ebert, J., Unterholzner, L., et al. (2004) · EMBO Reports · doi:10.1038/sj.embor.7400091 · Cited by 91
“The N-terminal region of PYM (3–35) folds with a three-stranded b-sheet and a contiguous b-hairpin, and does not resemble other known structures from database searches using the program DALI (Holm & Sander, 1993).”
MethodCatalytic domain structure and hypothesis for function of GIY-YIG intron endonuclease I-TevI
Roey, P. V., Meehan, L., Kowalski, J. C., Belfort, M., & Derbyshire, V. (2002) · Nature Structural Biology · doi:10.1038/nsb853 · Cited by 91
Turnbull, A. P., Rafferty, J. B., Sedelnikova, S. E., Slabas, A. R., Schierer, T. P., Kroon, J., Simon, J. W., Fawcett, T., Nishida, I., Murata, N., et al. (2001) · Structure · doi:10.1016/s0969-2126(01)00595-0 · Cited by 91
Crystal Structures of Escherichia coli ATP-Dependent Glucokinase and Its Complex with Glucose
Lunin, V. V., Li, Y., Schrag, J. D., et al. (2004) · Journal of Bacteriology · doi:10.1128/jb.186.20.6915-6927.2004 · Cited by 91
Crystal Structure of GABA-Aminotransferase, a Target for Antiepileptic Drug Therapy
Storici, P., Capitani, G., Biase, D. D., et al. (1999) · Biochemistry · doi:10.1021/bi990478j · Cited by 91
Metadata
- Authors
- Holm, L., & Sander, C.
- Affiliations
- European Molecular Biology Laboratory (DE)
- Venue
- Journal of Molecular Biology
- Publisher
- Elsevier BV
- Published
- 1993-09
- Volume
- 233
- Issue
- 1
- Pages
- 123-138
- ISSN
- 0022-2836 (ISSN-L)
- OpenAlex
- W2022058405
- Cited by
- 3,984
- References
- 0
- Citations by year
- 2026: 23 · 2025: 31 · 2024: 22 · 2023: 22 · 2022: 28 · 2021: 27 · 2020: 53 · 2019: 50 · 2018: 45 · 2017: 42 · 2016: 53 · 2015: 65 · 2014: 73 · 2013: 106 · 2012: 98
- FWCI
- 15.32
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Molecular Biology (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Protein Structure and Dynamics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Structural Biology › Enzyme Structure and Function
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Genomics and Phylogenetic Studies
- Keywords
- protein structure comparison, Dali, Monte Carlo optimization, structural similarity, protein fold classification, structural core, colicin A, globin, lambda repressor, sequence gaps
- MeSH terms
- Actins, Algorithms, Amino Acid Sequence, Colicins, DNA-Binding Proteins, Globins, Heat-Shock Proteins, Hexokinase, Models, Molecular, Molecular Sequence Data, Monte Carlo Method, Muramidase, Software, Reproducibility of Results, Cluster Analysis, Sequence Alignment, Sequence Homology, Amino Acid, Protein Structure, Secondary, Protein Structure, Tertiary
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