- Open Access
Analysis of interactions between ribosomal proteins and RNA structural motifs
© Ciriello et al; licensee BioMed Central Ltd. 2010
- Published: 18 January 2010
One important goal of structural bioinformatics is to recognize and predict the interactions between protein binding sites and RNA. Recently, a comprehensive analysis of ribosomal proteins and their interactions with rRNA has been done. Interesting results emerged from the comparison of r-proteins within the small subunit in T. thermophilus and E. coli, supporting the idea of a core made by both RNA and proteins, conserved by evolution. Recent work showed also that ribosomal RNA is modularly composed. Motifs are generally single-stranded sequences of consecutive nucleotides (ssRNA) with characteristic folding. The role of these motifs in protein-RNA interactions has been so far only sparsely investigated.
This work explores the role of RNA structural motifs in the interaction of proteins with ribosomal RNA (rRNA). We analyze composition, local geometries and conformation of interface regions involving motifs such as tetraloops, kink turns and single extruded nucleotides. We construct an interaction map of protein binding sites that allows us to identify the common types of shared 3-D physicochemical binding patterns for tetraloops. Furthermore, we investigate the protein binding pockets that accommodate single extruded nucleotides either involved in kink-turns or in arbitrary RNA strands. This analysis reveals a new structural motif, called tripod.
It corresponds to small pockets consisting of three aminoacids arranged at the vertices of an almost equilateral triangle. We developed a search procedure for the recognition of tripods, based on an empirical tripod fingerprint.
A comparative analysis with the overall RNA surface and interfaces shows that contact surfaces involving RNA motifs have distinctive features that may be useful for the recognition and prediction of interactions.
- Contact Surface
- Structural Motif
- Backbone Atom
- Protein Interface
- Root Mean Square Deviation
Protein-RNA interactions occur frequently within living cells as part of crucial processes, such as gene expression and regulation, protein synthesis and viral replication, as well as stabilizers of ribosomal RNA molecules within the ribosome. RNA recognition mechanisms raised much interest within the RNA community as soon as new structures became available. Several statistical studies were conducted on growing datasets of interacting structures [1–7], though few of them comprised a significant percentage of protein interactions with rRNA. The high resolution determination of complete ribosomal structures gave boost to protein-RNA interaction data availability, though it raised novel issues. First, ribosomal proteins (r-proteins) do not have previously observed homologs, they present unique features not present in other protein structures, such as the long unstructured tails that go deep into the ribosome. Second, r-proteins within a single species vary in structure, size and show tremendous diversity of interaction mechanisms even with similar RNA structural elements. Third, most interest has been devoted so far to the rRNA molecules as the main, probably the only, catalysts of the protein synthesis process. Thus r-protein have been less studied and considered only as stabilizers of RNA tertiary structure and involved in the subunit assembly. Indeed only recently the possibility of an effective involvement of r-proteins in the cellular processes performed by the ribosome has been explored .
A comprehensive analysis of ribosomal proteins and their interactions with rRNA has been done by  for the large subunit (H. marismortui, HM, 50S ) and by  for the small subunit (T. thermophilus, TM, 30S ). In  interesting results emerged from the comparison of r-proteins within the small subunit in T. thermophilus and E. coli, supporting the idea of a core made by both RNA and proteins, conserved by evolution. Though fascinating, the hypothesis is still difficult to validate due to the lack of high resolution data; indeed so far only four ribosomal high resolution crystals are available. On the other hand, in  authors analyzed the characteristic tails present within several r-proteins: these extensions, typically unstructured, show major presence of positive residues (arginine and lysine) and they often interact with RNA, even within the inner parts of the ribosome. Furthermore they proposed a classification of r-proteins within HM 50S based on secondary structure elements finding recurrent conformations. Similarly, attempts have been made to characterize RNA recognition sites from the protein secondary structure perspective in [13, 2].
Recent work showed that ribosomal RNA is modularly composed [14–17]. Modules are structural motifs including bulge-free helices and conserved types of hairpin loops (e.g. tetraloops) and internal loops (e.g. kink-turns and loop-E motifs). Motifs are generally single-stranded sequences of consecutive nucleotides (ssRNA) with characteristic folding and, for some of them, sequence patterns.
The role of these motifs in protein-RNA interactions has been so far only sparsely explored. The only related work is in  where the kink-turn interaction mechanisms are studied, and in  and , where a characterization of the binding sites of ssRNA is provided. In particular in  the authors propose a 3D characterization of protein interaction sites with extruded dinucleotides, i.e. pairs of consecutive single-stranded nucleotides. Though common feature are highlighted, the results proved a high variability in terms of 3D conformation.
The goal of this study is to provide an insight into the role of RNA motifs on r-protein interactions, with a particular interest for tetraloops, kink-turns, and single extruded nucleotides. The analysis is conducted on two large ribosomal subunits, HM 50S (PDB no. 1S72) and the 50S subunit of E.coli (EC 50S, PDB no. 2AWB) and on the small subunit of TM 30S (PDB no. 1FJF). We will show how RNA motifs significantly interact with r-proteins, and analyze both composition and 3D conformation of interfaces made by motifs and proteins interacting with each other.
In the following, we will refer to RNA surface regions that are in contact with r-proteins as RNA contact surfaces (R-CS) and to the protein regions that interact with the RNA as protein contact surfaces (P-CS). We focus on the RNA interface regions consisting of atoms that participate in structural motifs. We denote such regions by SM R -CS. Similarly, protein contact surfaces restricted to those atoms that make contact with structural motifs are called SM P -CS. For the analysis, the RNA contact surfaces are extracted using the tool ENTANGLE .
The analysis on available crystal structures of ribosomes aims at uncovering relatioships, if any, between protein-RNA interaction mechanisms and RNA structural motifs. The goal is pursued first by quantifying the presence of RNA motifs in regions interacting with proteins, then by evaluating the composition of contact surfaces in the presence of motifs, and finally comparing and analyzing the 3D conformation of these surfaces.
Frequency of Structural Motifs at interfaces
We are interested in establishing whether RNA structural motifs tend to appear more frequently at RNA interfaces than on the entire surface of the ribosome.
We start by briefly recalling the definitions of RNA motifs. A motif is composed by sequences, generally 1 or 2, of single-stranded consecutive nucleotides characterized by a distinctive 3D structure and, sometimes, sequence pattern. An RNA motifs is either a hairpin loop, i.e. connecting the two anti-parallel chains of one helix, or internal loop, i.e. connecting two helices. Known RNA motifs are: tetraloop, kink-turn, loop-E, π-turn, Ω-turn, and S2-turn. Definitions and methods to search for these structures are given in [14, 15, 22, 16, 17]. Complex loops connecting k ≥ 3 helices and composed by k distinct ssRNA sequences are called RNA junctions. Junctions do not share conserved structures, but they show recurrent conformation in 3D .
The frequency of atoms of different RNA elements in HM 50S is calculated for the whole 23S rRNA molecule (col. 2), for its surface (col. 3), and for RNA contact surfaces (col. 4). Motifs include tetraloops, kink-turns and other motifs such as loop-E motifs.
23S surface (%)
Other non-helical regions
Major contribution to the high presence of motifs in R-CS is given by tetraloops and kink-turns: tetraloops are 4 residues long hairpin loops characterized by well conserved structure and consensus sequence patterns given by GNRA, UNCG, and CUUG, where N can be any nucleotide and R can be either G or A; on the other hand kink-turns consist of approximately 15 nucleotides from two distinct segments which base pair to form two helices and an internal loop.
However, the frequency of atoms of the different structural elements is not uniform across RNA interfaces with r-proteins For instance L18 extensively interacts with rRNA in both HM 50S and EC 50S, making ~50% of his interactions with structural motifs; by contrast L44e in HM 50S, L3 in EC 50S, and S4 in TT 30S, while forming large contact surfaces with rRNA, make no interaction with motifs.
Composition of contact surfaces from rRNA of H. marismortui, T. thermophilus and E. coli.
Contact surface composition (% values)
SM R -CS
TL R -CS
SM P -CS
TL P -CS
3.68 (± 0.32)
3.73 (± 0.70)
3.67 (± 0.87)
3.93 (± 0.50)
5.02 (± 1.25)
2.70 (± 1.27)
9.56 (± 0.76)
9.22 (± 1.43)
8.28 (± 1.23)
21.92 (± 1.67)
24.87 (± 4.08)
5.61 (± 0.47)
5.79 (± 0.78)
5.00 (± 1.04)
4.41 (± 0.47)
3.40 (± 0.85)
3.07 (± 1.27)
3.20 (± 0.28)
2.99 (± 0.59)
2.92 (± 0.72)
2.58 (± 0.38)
2.53 (± 0.95)
1.42 (± 0.94)
9.43 (± 0.71)
8.95 (± 1.24)
9.79 (± 1.60)
0.19 (± 0.07)
0.16 (± 0.15)
8.55 (± 0.65)
8.13 (± 1.09)
8.86 (± 1.35)
3.11 (± 0.36)
3.73 (± 0.88)
2.32 (± 1.09)
4.75 (± 0.39)
4.05 (± 0.60)
5.18 (± 1.01)
4.57 (± 0.61)
2.94 (± 0.78)
1.06 (± 0.88)
6.80 (± 0.53)
6.72 (± 0.97)
6.95 (± 1.09)
6.61 (± 0.80)
4.97 (± 1.25)
5.51 (± 2.38)
6.57 (± 0.55)
6.42 (± 0.89)
7.31 (± 1.34)
4.63 (± 0.53)
4.81 (± 1.14)
5.20 (± 1.81)
7.12 (± 0.52)
6.64 (± 0.85)
6.56 (± 1.18)
2.17 (± 0.25)
1.63 (± 0.50)
1.24 (± 0.75)
7.46 (± 0.56)
6.57 (± 0.91)
7.35 (± 1.25)
3.71 (± 0.38)
5.04 (± 1.13)
2.48 (± 1.91)
6.14 (± 0.46)
5.32 (± 0.64)
5.82 (± 1.02)
14.65 (± 1.06)
13.91 (± 1.97)
10.03 (± 2.01)
2.00 (± 0.31)
2.76 (± 0.75)
3.05 (± 1.87)
3.03 (± 0.41)
3.69 (± 1.05)
10.77 (± 3.18)
3.84 (± 0.56)
3.14 (± 0.82)
4.12 (± 1.94)
4.74 (± 0.52)
5.90 (± 1.35)
5.67 (± 2.42)
4.67 (± 0.45)
2.75 (± 0.66)
1.77 (± 1.09)
1.94 (± 0.38)
2.46 (± 0.98)
3.56 (± 2.07)
3.69 (± 0.49)
3.05 (± 0.86)
4.12 (± 1.73)
3.65 (± 0.47)
3.26 (± 0.79)
3.93 (± 1.53)
It is interesting to highlight how the proportions of phosphate, ribose, and base atoms vary in the protein-RNA complexes within the ribosome when they include structural motifs.
The results on complete interfaces of ribosomal RNA, reported in Table 2 (col. 2), partially confirm previous statistics on other RNA molecules [1, 2, 7]. First, an high percentage, approximately 80%, of backbone atoms, i.e. P and R, interacts with r-proteins. When we restrict the analysis to SM R -CS (Table 2, col. 3), such percentage decreases to ~75%. This was somewhat expected as RNA fragments that compose motifs include extruded nucleotides that typically interact through the exposed base. These results seem to follow the rule that double-stranded RNAs (dsRNA) interact with proteins mainly through the backbone, while ssRNA through bases . Notable exceptions are tetraloops (Table 2, col. 4), where the percentage of atoms from phosphate and ribose groups rises again to almost 80%. This reflects the characteristic tendency of the tetraloop bases to form stacked conserved structures, and not to be exposed as typically ssRNA bases are.
In the ribosome, the ribose is preferred over the phosphate with a ratio of 3 to 1 for the whole contact surfaces and for the tetraloop contact surfaces, slightly below for contact surfaces restricted to RNA motifs. This fact is neither observable in protein-DNA complexes, nor in protein-RNA complexes not involving rRNA, suggesting that the high presence of the ribose group in protein-RNA interactions is distinctive of ribosomes[1, 7].
What makes tetraloops favored motifs for protein interactions is also their position within the molecule: tetraloops are never completely buried. For instance in HM 50S only 4 out of 43 of them have less than 50% of atoms belonging to the surface, and backbone atoms are more exposed than the base ones, respectively 70% against 46% on average. The exposed position and the high number of instances favor these motifs in protein-RNA interactions within the ribosome: 43% of interactions within SM R -CS are indeed made by tetraloops. For all these reasons, tetraloops can be considered a good recognition motif for binding protein.
The composition of protein interfaces reflects known tendencies such as the high presence of arginine (Arg) and lysine (Lys) [11, 9]. Both Arg and Lys are indeed positive residues that well connect to the negatively charged rRNA backbone. The percentages of all amino acids are shown in Table 2 (col. 5-8). Interesting variations are shown by TL P -CS when compared to both P-CS and SM P -CS. Tetraloops indeed show a significant preference for Arg, ~28%, over Lys with only 10%. The marked preference for Arg is justified by the large number of backbone interactions; for this reason the low presence of Lys is actually more surprising. Notable is also the presence of phenylalanine, Phe, (10.77%) that was not relevant within the whole contact surfaces. For TL P -CS Phe is significantly present in contact surfaces of both HM 50S and EC 50S, while less relevant in TT 30S. However in general the composition of these surfaces is diverse and the few atoms involved make the statistics highly dependent on single cases. This is showed by the relative high standard error in correspondence of most represented amino acids. Phe is for instance highly present in contacts made by L32e and L18 with HM 50S tetraloops, as well as those made by L2, L15, L18, and L34 in EC 50S; but scarcely present on the other contact surfaces with tetraloops.
3D conformation of interfaces
In this section we focus on the 3D conformation, localization and geometry of the protein interfaces with tetraloops, kink-turns and single extruded nucleotides. It has been observed  that strong similarities are not detectable in the overall shape conformations of the interfaces. This naturally follows from the unique structural features of r-proteins and from their flexibility. Thus the question arises of whether a significant conformational variability can be observed also in the more restricted areas binding well characterized motifs.
Interfaces with tetraloops
A significant fraction of r-proteins has a large number of contacts with tetraloops. In this section we examine the subset of r-proteins interacting with standard tetraloops in HM 50S as case study; thus the proteins considered are L2, L10e, L13, L14, L15, L15e, L18, L19e, L32e, L37e.
Area of the interfaces
The protein-RNA complexes made by r-proteins and standard tetraloops.
Tetraloop contact surface
Area (Å 2 )
To better study the localization of interactions between r-proteins and tetraloops, in the interaction map we mark the regions corresponding to the discretized coordinates of all tetraloops atoms after superposition with the reference. We identify four connected non overlapping regions corresponding to the backbone atoms of the 4 nucleotides of all tetraloops; they are labeled with numbers 1,..,4 and are shown by depicting their perimeter (in black) in Figure 3. Because of the rigidity of the tetraloops, the 4 regions are well separated (as can be seen from the figure). The following analysis does not include L18 interface with TL2412. As already pointed out, this interface represents the only exception making most interactions with the bases of the tetraloop.
The interaction map allows to appreciate the common tendency of the proteins to interact with tetraloop backbone atoms: the vast majority of protein interface atoms is located within the perimeters of the four regions and only a few cells outside the four regions are populated. Note that a preference is shown towards the area between the first and the second nucleotide and between the third and the fourth nucleotide, where the density of the atoms is higher.
Next, the interaction map is used to visually identify patterns of interactions in terms of physico-chemical properties of the residues. A color code of such properties has been applied to the interaction map. Since a cell of the interaction map may contain several atoms, a majority rule has been used. Precisely if most of the atoms within a cell have the property p i , than the cell is attributed to property p i and colored according to the code; else if a majority is not detectable, the cell is considered as a gap in the pattern. Figure 3(b) displays physico-chemical properties in the interaction map.
The resulting pattern shows a concentration of positive residues, mainly Arg, in the dense area between the first and the second nucleotide where the rRNA chain has a turn, changing the base orientation, to form the loop. High presence of Arg is also detectable between the third and the forth nucleotide, in correspondence of the other dense area. The same patches also contain several polar residues (especially Ser), while hydrophobic residues are more uniformly located within the surfaces.
Interfaces with kink-turns and single extruded nucleotides
The authors of  were the first to observe that kink-turns are an important RNA recognition motif for the r-proteins of the large ribosomal subunit. They identified a common interaction with the extruded nucleotide, observed in 4 out of the 6 double-stranded kink-turns.
The characteristic shape of these binding sites suggested a possible recurrent conformation also on protein interfaces with single extruded nucleotides not belonging to kink-turns. Thus we searched for tripods on the entire surfaces using as query a fingerprint derived from the observed tripods in kink-turns. The search method is described in the Methods section. The results of the automatic search reveal a major presence of this site among protein interactions with single extruded nucleotides, belonging to either bulges, internal loops, junctions, or other non-helical regions.
Tripod instances. The tripods identified on protein interfaces within the three ribosomes are here reported.
The tripods show conserved three-dimensional structure, nucleotide preference, and similar interaction pattern; these considerations together suggest this binding site as a recurrent RNA recognition motif. This novel motif gives a good starting point to provide a better structural characterization and hopefully an effective prediction method for protein-RNA interactions.
Aim of this paper was to dissect protein-RNA interaction mechanisms within the ribosome. The high conformational diversity of protein interfaces with rRNA, following the high diversity in folds of r-proteins, is confirmed by this study. However, when focusing on restricted areas some geometric and physico-chemical patterns could be detected.
Specifically, we explored the role of RNA structural motifs in protein-RNA interactions. We quantitatively showed the preference for protein interfaces to interact with structural RNA motifs by comparing the composition in terms of motifs and helical regions of RNA interfaces with that of the complete ribosomal surface.
We detected similar binding sites for extruded RNA bases leading to the definition of a novel protein structural motif, the tripod, characterized by the presence of three amino acids forming three knobs on the surface at the vertices of triangle, with approximately same sides.
Among RNA motifs tetraloops show the highest percentage of interactions with ribosomal proteins. Protein contact surfaces with tetraloops showed high conformational diversity making binding site characterization tough. By studying the localization of the contacts, preferred contact areas were detected; furthermore, a consensus interaction pattern was identified based on physico-chemical properties of the amino acids composing the interfaces.
Future work will exploit the results of this work to provide accurate computational methods to compare protein-RNA interactions in large datasets and possibly tackle the challenging problem of predicting protein-RNA interactions.
Interaction maps are basically a map in 2D space of the positions of the atoms of all TL P -CS after they are brought into a common reference frame. The reference frame is defined by a chosen tetraloop; all interfaces are transformed after the superposition of the tetraloops to the chosen reference. For the interaction map, we resorted to a polar representation of protein interfaces. Since the backbone of a tetraloop typically forms a curve resembling a semi circumference, the whole structure has a semi spherical shape. Thus, we projected the protein surface points on a sphere with fixed radius and associated to each point two coordinates, the zenit, θ, and azimut, φ; angles. The interaction map is a discretized representation of these points on a grid. The granularity of the cells of the grid depends on the quantization step applied to (θ, φ) values. The step has been determined as the highest value so that each atom of a single contact surface falls on a different cell. This polar coordinates based representation gives the ideal framework to design an interaction pattern easily understandable and, possibly, comparable.
Tripods: fingerprint and search
The first instances of tripods have been derived by visual inspection of extruded nucleotides, in particular within RNA kink-turns. From this limited set of observed instances, we derived a geometric fingerprint defined by a triplet of points and their coordinates in the 3D space. The fingerprint defines a triangle with sides l1,l2, l3 ∈ (7,10) Å and angles α1, α2, α3 ∈ (40°, 70°). The fingerprint can thus be seen as a triplet of knobs, whose coordinates are the averages of coordinates of the knobs of the true positive tripods.
The work was supported by the University of Padova, Fondazione Cariparo, and the Research Program of Georgia Tech.
This article has been published as part of BMC Bioinformatics Volume 11 Supplement 1, 2010: Selected articles from the Eighth Asia-Pacific Bioinformatics Conference (APBC 2010). The full contents of the supplement are available online at http://www.biomedcentral.com/1471-2105/11?issue=S1.
- Bahadur RP, Zacharias M, Janin J: Dissecting protein-RNA recognition sites. Nucleic Acids Res 2008, 36: 2705-2716. 10.1093/nar/gkn102PubMed CentralView ArticlePubMedGoogle Scholar
- Ellis MJ, Broom J, Jones S: Protein-RNA interactions: Structural analysis and functional classes. PROTEINS: Structure, Function, and Bioinformatics 2007, 66: 903-911. 10.1002/prot.21211View ArticleGoogle Scholar
- Jeong E, Kim H, Lee S, Han K: Discovering the interaction propensities of amino acids and nucleotides from protein-RNA complexes. Mol Cells 2003, 16(2):161-167.PubMedGoogle Scholar
- Jones S, Daley DTA, Luscombe NM, Berman HM, Thornton JM: Protein-RNA interactions: a structural analysis. Nucleic Acids Res 2001, 29: 943-954. 10.1093/nar/29.4.943PubMed CentralView ArticlePubMedGoogle Scholar
- Kim H, Jeong E, Lee S, Han K: Computational analysis of hydrogen bonds in protein-RNA complexes for interaction patterns. FEBS Lett 2003, 552(2-3):231-239. 10.1016/S0014-5793(03)00930-XView ArticlePubMedGoogle Scholar
- Lejeune D, Delsaux N, Charloteaux B, Thomas A, Brasseur R: Protein-nucleic acid recognition: statistical analysis of atomic interactions and influence of DNA structure. Proteins 2005., 61: 10.1002/prot.20607Google Scholar
- Treger M, Westhof E: Statistical analysis of atomic contacts at RNA-protein interfaces. J Mol Recognition 2001., 14:Google Scholar
- Brodersen DE, Nissen P: The social life of ribosomal proteins. FEBS Journal 2005, 272: 2098-2108. 10.1111/j.1742-4658.2005.04651.xView ArticlePubMedGoogle Scholar
- Klein DJ, Moore PB, Steitz TA: The roles of ribosomal proteins in the structure assembly, and evolution of the large ribosomal subunit. J Mol Biol 2004., 340: 10.1016/j.jmb.2004.03.076Google Scholar
- Ban N, Nissen P, Hansen J, Moore PB, Steitz TA: The Complete Atomic Structure of the Large Ribosomal Subunit at 2.4 Å Resolution. Science 289:Google Scholar
- Brodersen DE, Clemons WM Jr, Carter AP, Wimberly BT, Ramakrishnan V: Crystal structure of the 30S ribosomal subunit from Thermus thermophilus: Structure of the proteins and their interactions with 16S RNA. J Mol Biol 2002, 316: 725-768. 10.1006/jmbi.2001.5359View ArticlePubMedGoogle Scholar
- Wimberly BT, Brodersen DE, Clemons WM, Morgan-Warren RJ, Carter AP, Vonrhein C, Hartsch T, Ramakrishnan V: Structure of the 30S ribosomal subunit. Nature 2000, 407(6802):327-339. 10.1038/35030006View ArticlePubMedGoogle Scholar
- Clery M, Blatter A, Allain FHT: RNA recognition motifs: boring? Not quite. Current Opinion in Structural Biology 2008, 18: 290-298. 10.1016/j.sbi.2008.04.002View ArticlePubMedGoogle Scholar
- Apostolico A, Ciriello G, Guerra C, Heitsch CE, Hsiao C, Williams LD: Finding 3D motifs in ribosomal RNA structures. Nucleic Acids Res 2009., 37(4):Google Scholar
- Duarte CM, Wadley LM, Pyle AM: RNA structure comparison, motif search and discovery using a reduced representation of RNA conformational space. Nucleic Acids Res 2003, 31: 4755-4761. 10.1093/nar/gkg682PubMed CentralView ArticlePubMedGoogle Scholar
- Hsiao C, Mohan S, Hershkovitz E, Tannenbaum A, Williams LD: Single nucleotide RNA choreography. Nucleic Acids Res 2006, 34: 1481-1491. 10.1093/nar/gkj500PubMed CentralView ArticlePubMedGoogle Scholar
- Sarver M, Zirbel CL, Stombaugh J, Mokdad A, Leontis NB: FR3D: finding local and composite recurrent structural motifs in RNA 3D structures. J Math Biol 2008. [DOI 10.1007/s00285-007-0110].Google Scholar
- Klein DJ, Schmeing TM, Moore PB, Steitz TA: The kinkturn: a new RNA secondary structure motif. The EMBO Journal 2001., 20: 10.1093/emboj/20.15.4214Google Scholar
- Morozova N, Allers J, Myers J, Shamoo Y: Protein-RNA interactions: exploring binding patterns with a three- dimensional superposition analysis of high resolution structures. Bioinformatics 2005., 22:Google Scholar
- Shulman-Peleg A, Shatsky R, Nussinov M, Wolfson HJ: Prediction of interacting single-stranded RNA bases by protein-binding patterns. J Mol Biol 2008., 379: 10.1016/j.jmb.2008.03.043Google Scholar
- Allers J, Shamoo Y: Structure-based analysis of protein-RNA interactions using the program ENTANGLE. J Mol Biol 2001, (311):76-86.Google Scholar
- Hendrix DK, Brenner SE, Holbrook SR: RNA structural motifs: building blocks of a modular biomolecule. Quarterly Reviews of Biophysics 2005, 38(3):221-243. 10.1017/S0033583506004215View ArticlePubMedGoogle Scholar
- Efron B, Tibshirani R: Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy. Statistical science 1986, 1: 54-75. 10.1214/ss/1177013815View ArticleGoogle Scholar
- Draper PE: Themes in RNA-protein recognition. J Mol Biol 1999, 293: 255-270. 10.1006/jmbi.1999.2991View ArticlePubMedGoogle Scholar
- Horn BKP: Closed-form solution of absolute orientation using unit quaternions. J Opt Soc Am 1987, 4(4):629-642. 10.1364/JOSAA.4.000629View ArticleGoogle Scholar
- Voss NR: Geometric studies of RNA and ribosomes, and ribosome crystallization. PhD thesis. Yale University; 2006.Google Scholar
- Connolly ML: Analytical molecular surface calculation. J Appl Cryst 1983, 16: 548-558. 10.1107/S0021889883010985View ArticleGoogle Scholar
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