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			<titleStmt><title level='a'>Selective deuteration of an RNA:RNA complex for structural analysis using small-angle scattering</title></titleStmt>
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				<publisher>Structure</publisher>
				<date>02/01/2025</date>
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				<bibl> 
					<idno type="par_id">10581014</idno>
					<idno type="doi">10.1016/j.str.2025.01.017</idno>
					<title level='j'>Structure</title>
<idno>0969-2126</idno>
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					<author>Aldrex Munsayac</author><author>Wellington C Leite</author><author>Jesse B Hopkins</author><author>Ian Hall</author><author>Hugh M O’Neill</author><author>Sarah C Keane</author>
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			<abstract><ab><![CDATA[The structures of RNA:RNA complexes regulate many biological processes. Despite their importance, protein-free RNA:RNA complexes represent a tiny fraction of experimentallydetermined structures. Here, we describe a joint small-angle X-ray and neutron scattering (SAXS/SANS) approach to structurally interrogate conformational changes in a model RNA:RNA complex. Using SAXS, we measured the solution structures of the individual RNAs and of the overall RNA:RNA complex. With SANS, we demonstrate, as a proof-of-principle, that isotope labeling and contrast matching (CM) can be combined to probe the bound state structure of an RNA within a selectively deuterated RNA:RNA complex. Furthermore, we show that experimental scattering data can validate and improve predicted AlphaFold 3 RNA:RNA complex structures to reflect its solution structure. Our work demonstrates that in silico modeling, SAXS, and CM-SANS can be used in concert to directly analyze conformational changes within RNAs when in complex, enhancing our understanding of RNA structure in functional assemblies.]]></ab></abstract>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head>INTRODUCTION</head><p>RNA:RNA complexes play crucial roles at all levels of gene expression <ref type="bibr">[1]</ref><ref type="bibr">[2]</ref><ref type="bibr">[3]</ref><ref type="bibr">[4]</ref><ref type="bibr">[5]</ref> and can direct various aspects of viral life cycles. <ref type="bibr">6</ref> RNAs can fold into a variety of three-dimensional (3D) structures, from simple helices and stem loops, to more complex structures like pseudoknots and triple helices. RNA:RNA complexes form via intermolecular interactions between RNA molecules, either through base pairing or tertiary contacts. <ref type="bibr">7,</ref><ref type="bibr">8</ref> Knowledge of these complex structures is central to understanding the molecular mechanisms governing RNA function. Despite the importance of RNA structure in directing function, structure elucidation of RNAs and, of particular note, RNA:RNA complexes, has remained relatively unexplored relative to their protein counterparts. <ref type="bibr">9</ref> Challenges related to RNA structure determination by high-resolution techniques such as nuclear magnetic resonance (NMR) spectroscopy, X-ray crystallography, and cryogenic electron microscopy (cryo-EM) are best reflected by the paucity of RNA structures in the Protein Data Bank. <ref type="bibr">10</ref> Even more sparse are structures of RNA:RNA complexes, which account for a very small fraction of known RNA structures. Thus, there remains a critical need for alternative methods to obtain structural information on RNA:RNA systems.</p><p>Small-angle scattering (SAS), with X-rays (SAXS) or neutrons (SANS), is a powerful approach that provides direct insight to RNA structures in solution. <ref type="bibr">[11]</ref><ref type="bibr">[12]</ref><ref type="bibr">[13]</ref><ref type="bibr">[14]</ref> In the absence of prior structural information, SAS can rapidly assess the size, shape, oligomerization state, foldedness, and flexibility of an RNA. <ref type="bibr">15,</ref><ref type="bibr">16</ref> Furthermore, SAS experimental restraints can be combined with computational modeling and molecular dynamics simulations to model tertiary structures. <ref type="bibr">[17]</ref><ref type="bibr">[18]</ref><ref type="bibr">[19]</ref><ref type="bibr">[20]</ref> With advancements in the structure prediction of RNAs and their complexes, SAS is a valuable tool for the experimental validation and refinement of predicted atomic models. <ref type="bibr">[21]</ref><ref type="bibr">[22]</ref><ref type="bibr">[23]</ref> Additionally, perturbations to the RNA structure, resulting from either changing solution conditions (i.e. temperature or counterion concentration) or complex formation (i.e. binding to a metabolite, protein, or other nucleic acid), are reflected in the scattering data, <ref type="bibr">16,</ref><ref type="bibr">[24]</ref><ref type="bibr">[25]</ref><ref type="bibr">[26]</ref> making SAS a sensitive reporter of RNA conformation under a wide range of solution conditions. SANS has a rich history in the structural biology of nucleic acid containing complexes, including the elucidation of the 'beads-on-a-string' model of nucleosomes and mapping the relative positions of proteins within the ribosome, long before atomic models became available. <ref type="bibr">[27]</ref><ref type="bibr">[28]</ref><ref type="bibr">[29]</ref> In SANS studies, individual components within a complex can be masked via contrast matching (CM), where the scattering length density (SLD, &#961;) of a specific component is matched to the solvent, such that the resulting signal is dominated by the other component(s) of the complex. <ref type="bibr">[30]</ref><ref type="bibr">[31]</ref><ref type="bibr">[32]</ref> Contrast matching is achieved by manipulating the isotopic composition of the biomacromolecule (via deuterium labeling), the solvent (H2O:D2O ratio), or a combination of both. The CM-SANS strategy has been successfully applied to elucidate specific structures in protein:protein, protein:nucleic acid, protein:lipid, and nucleic acid:lipid systems, but to date, has not been applied to RNA:RNA complexes. <ref type="bibr">30,</ref><ref type="bibr">[32]</ref><ref type="bibr">[33]</ref><ref type="bibr">[34]</ref> While theoretical calculations support the feasibility of CM-SANS on selectively deuterated RNA:RNA systems, this approach has not been tested experimentally. <ref type="bibr">35,</ref><ref type="bibr">36</ref> In this study, we engineered a model RNA:RNA complex to validate our combined SAXS/SANS approach for structure elucidation. First, using SAXS, we structurally characterized the component RNAs individually and in complex. Next, we demonstrated that when one RNA is either perdeuterated (100%) or partially (42%) deuterated, and the other RNA within the complex is protiated, that one RNA component can be contrast matched in an appropriate buffer. To model the RNA:RNA complex, we first modeled the individual RNAs in their bound state by refining an AlphaFold 3 (AF3) predicted complex structure to the experimental SAXS/SANS data. We then compared the quality of the fit [goodness-of-fit (&#967; 2 )] from the ensemble of bound models to the SANS data. We showed that the models that best fit to the SANS data also best fit to the SAXS data of the complex, improving the AF3-predicted complex. These results highlight the ability to specifically probe the signal of a single RNA within an RNA:RNA complex using SANS to detect subtle binding-induced conformational changes. This hybrid SAXS/SANS approach can be applied to a number of RNA:RNA interactions and therefore has the potential to greatly improve our understanding of quaternary structures of RNA-containing complexes.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>RESULTS</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Design and purification of a model RNA:RNA complex</head><p>SAS is an ensemble measurement, therefore it is critical to prepare a sample that remains monodisperse and homogeneous during the time-scale of the experiment. <ref type="bibr">15</ref> For the basis of our model, we leveraged a naturally occurring motif from the 5&#8242;-leader of the human immunodeficiency virus type 1 (HIV-1) genome, a GC-rich palindromic dimerization initiation sequence (DIS) a key element for genome dimerization, which impacts several different aspects of the HIV-1 life cycle. <ref type="bibr">[37]</ref><ref type="bibr">[38]</ref><ref type="bibr">[39]</ref> The DIS is a conserved stem-loop structure, and in isolation, DIS RNAs can form a kissing dimer via intermolecular base pairing between the palindromic loops (5&#8242;-GCGCGC-3&#8242; for HIV-1NL4-3) with nanomolar affinity (Figure <ref type="figure">1A</ref>). <ref type="bibr">[40]</ref><ref type="bibr">[41]</ref><ref type="bibr">[42]</ref> To ensure the RNAs solely form heterodimers for SAXS/SANS analysis, we designed two mutant DIS constructs, based on mutations previously used in packaging studies. <ref type="bibr">43</ref> In one construct the palindromic loop was mutated to all cytosines (DIS-C) (Figure <ref type="figure">1A</ref>). In a second construct, the palindromic loop was mutated to all guanines and the hairpin was extended with a UCU bulge and 16 base pair elongation (kinked-elongation, <ref type="bibr">44</ref> DIS-Gk) to differentiate it from DIS-C (Figure <ref type="figure">1A</ref>). This design is multipurpose; mutations to the wild-type DIS (DIS-WT) palindrome not only enabled monomeric studies of the DIS-C and DIS-Gk RNAs, but also permitted the differential isotope labeling of the individual components of the DIS-C:DIS-Gk complex for SANS studies. Additionally, as SAS is a low-resolution technique, addition of the kinked elongation motif to DIS-Gk enabled the distinction of the components within the DIS-C:DIS-Gk complex in the surface SAXS envelope.</p><p>To ensure the production of a highly homogeneous DIS-C:DIS-Gk complex, we first optimized the preparation of the monomeric hairpin RNAs. Monomeric DIS-C and DIS-Gk RNAs were purified by native size-exclusion chromatography (SEC) (Figure <ref type="figure">1B</ref>, Figure <ref type="figure">S1A</ref>). The purified DIS-C monomer was stable and monodisperse, as monitored by native gel electrophoresis and native SEC-SAXS (Figure <ref type="figure">1C</ref>, Figure <ref type="figure">S1B</ref>, Figure <ref type="figure">S2A</ref>). However, the DIS-Gk RNA, post SEC-purification, formed a higher-order aggregate in equilibrium, as evidenced by the presence of a slow migrating species on a native gel (Figure <ref type="figure">1C</ref>). To circumvent issues related to the presence of aggregated DIS-Gk RNA, we used SEC-SAXS, allowing for SAXS data collection of the elution peak corresponding to the DIS-Gk monomer (Figure <ref type="figure">S2B</ref>).</p><p>To prepare the DIS-C:DIS-Gk complex, the SEC-purified DIS monomers were incubated together, with excess DIS-C. The DIS-C:DIS-Gk kissing complex was then separated from excess DIS-C via an additional round of SEC purification. Importantly, when the DIS-C:DIS-Gk complex was SEC purified, the complex was monodisperse, with no DIS-Gk aggregate present (Figure <ref type="figure">1C</ref>, Figure <ref type="figure">S2C</ref>), allowing for batch mode measurements of the complex using SANS.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>SAXS characterization of DIS-C, DIS-Gk, and the DIS-C:DIS-Gk complex</head><p>We first evaluated the global structural and conformational properties of the DIS-C, DIS-Gk, and DIS-C:DIS-Gk RNAs using SAXS. From the SAXS profiles, the Guinier approximation was used to determine the Rg and the intensity at the zero-scattering angle [I(0)] (Figure <ref type="figure">2A-C</ref>, Data S1D). The Guinier fit maintains good linearity as q approaches zero, indicating good sample quality (Figure <ref type="figure">S3</ref>). Additionally, the Guinier approximation holds true at qRg &#8776; 1.3 for DIS-C and qRg &#8776; 1.0 for DIS-Gk and DIS-C:DIS-Gk, suggesting that DIS-C adopts a spherical shape and DIS-Gk and DIS-C:DIS-Gk adopt more elongated, rod-like shapes <ref type="bibr">45</ref>  From the Rg and I(0) parameters derived from the Guinier analysis, we also qualitatively assessed the "foldedness" of the DIS RNAs via a dimensionless Kratky plot (Figure <ref type="figure">2D</ref>). The DIS-C, DIS-Gk, and DIS-C:DIS-Gk RNAs were all well-folded, with bell-shaped curves. <ref type="bibr">46</ref> In agreement with the particle shapes from the Guinier fit, we observe a peak for DIS-C at a (&#119902;&#119877; ! ) " &#119868;(&#119902;) &#119868;(0) &#8260; &#8776; 1.1 and &#119902;&#119877; ! &#8776; 1.8, characteristic of a spherical particle with a low degree of flexibility (Figure <ref type="figure">2D</ref>). However, both DIS-Gk and DIS-C:DIS-Gk deviate from the expected behavior of globular and compacted particles with peaks larger than 1.1 that gradually decrease at high-q, consistent with elongated molecules.</p><p>For a real-space representation of the DIS RNAs, we also determined the P(r) function, providing the relative probability associated with sets of distances, r, between all pairs of atoms (Figure <ref type="figure">2E</ref>). <ref type="bibr">47</ref> Further supporting the shape interpretation from Guinier and Kratky analysis, we observed a P(r) function for DIS-C that resembled a solid sphere, while for DIS-Gk and DIS-C:DIS-Gk, we observed an initial peak with a long extended tail, resembling the P(r) function of rod-like structures. <ref type="bibr">48</ref> All DIS constructs had P(r) functions that peaked at ~20 &#197;, consistent with the presence of A-helical structure. This suggests that in isolation, DIS-C and DIS-Gk exhibit a stem-loop structure, and that the DIS-C:DIS-Gk complex is also mainly helical.</p><p>We observed a shoulder in the P(r) function of DIS-Gk at ~40 &#197;, indicative of a bend in the structure, corresponding to the kinked-elongation motif that we introduced. In the DIS-C:DIS-Gk complex, shoulders are apparent at ~40 &#197; and ~60 &#197;, which likely correspond to the kinkedelongation motif in DIS-Gk and the kissing interaction. Lastly, the Dmax values for DIS-C, DIS-Gk, and DIS-C:DIS-Gk were 46 &#197;, 105 &#197;, and 135 &#197;, respectively, consistent with the increasing size of each sample.</p><p>We next performed ab initio reconstructions and structure modeling of the DIS RNAs using the SAXS data. Ab initio electron density reconstructions using the DENSS algorithm of DIS-C, DIS-Gk, and DIS-C:DIS-Gk RNAs corroborates the overall shapes and structural interpretations from Guinier, Kratky, and P(r) analysis (Figure <ref type="figure">2F</ref>,G). <ref type="bibr">49</ref> Furthermore, using RNAMasonry, we modeled 3D structures of DIS-C and DIS-Gk restrained with goodness-of-fits to their respective experimental SAXS data (Figure <ref type="figure">2F</ref>). <ref type="bibr">18,</ref><ref type="bibr">50,</ref><ref type="bibr">51</ref> The 3D models of DIS-C and DIS-Gk were fitted to their respective SAXS profiles with &#967;&#178; values of 1.23 and 1.13, respectively (Figure <ref type="figure">2A</ref>,<ref type="figure">B</ref>). Both 3D models fit nicely into their respective density map reconstructions (Figure <ref type="figure">2G</ref>). To determine if the structures reasonably represented the overall shape derived from the DIS-C:DIS-Gk SAXS data, we performed rigid body modeling using SASREF inputting the DIS-C and DIS-Gk models. <ref type="bibr">52</ref> Rigid body modeling optimized the monomer structure against the SAXS data, yielding a &#967;&#178; of 0.94 (Figure <ref type="figure">2C</ref>). While this confirms that the DIS-C:DIS-Gk reasonably represents the shape of a 1:1 DIS-C:DIS-Gk dimer, it should be noted that the SASREF output flips the orientation of the DIS RNAs in the envelope and positions the RNAs such that intermolecular base pairing and stacking, required for the kissing loop interaction, are prohibited (Figure <ref type="figure">2G</ref>). <ref type="bibr">53</ref> Taken together, our SAXS experiments allowed us to characterize the DIS constructs, both in isolation and in complex. The overall complex structure was elongated and the orientation of the DIS-C and DIS-Gk RNAs were discerned due to the presence of the kinked-elongation motif in DIS-Gk. Encouraged by this data, we further characterized these RNAs using contrast variation SANS and isotopic labeling. This approach allowed us to refine the structural models of each individual RNA in the complex and to validate the CM-SANS method.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Selective deuteration of the DIS-C:DIS-Gk complex</head><p>To extract structural information on the DIS-C and DIS-Gk RNAs in their bound states, we turned to CM-SANS. Leveraging the key advantage of SANS over SAXS, where the scattering can be controlled by the isotopic composition rather than the electronic composition of the RNA, we prepared selectively deuterated DIS-C:DIS-Gk complexes. <ref type="bibr">54</ref> Deuterium can be incorporated into RNAs enzymatically, via in vitro transcription, using commercially available perdeuterated rNTPs, a method routinely used in NMR studies of large RNAs. <ref type="bibr">[55]</ref><ref type="bibr">[56]</ref><ref type="bibr">[57]</ref> Perdeuterated RNAs cannot be contrast matched using H2O:D2O mixtures, as their scattering length density (7.32 &#197; -2 in 100% D2O buffer for a perdeuterated DIS-C) is greater than that of 100% D2O solvent (6.36 &#197; -2 ) (Figure <ref type="figure">3A</ref>). However, because protiated RNAs can be contrast matched at 65-70% D2O (Figure <ref type="figure">3A</ref>), it is reasonable to make an RNA:RNA complex in which one RNA is perdeuterated and the other RNA is protiated. One drawback from this approach is that while the difference in scattering length density between the perdeuterated and protiated components is maximized, the relatively high content of 1 H in the contrast matched buffer (35% H2O:65% D2O) introduces significant background from the incoherent scattering contribution of 1 H. The incoherent scattering cross section of 1 H is ~40 times larger than that of 2 H, <ref type="bibr">58</ref> which decreases the signal-to-noise ratio and presents as high background noise in the scattering data.</p><p>Therefore, it is ideal to identify the fractional deuteration of an RNA that is contrast matched at a high percent D2O buffer to minimized background contributions and to increase the signal-to-noise ratio.</p><p>To estimate the contrast match conditions for a partially deuterated RNA, we calculated the theoretical scattering length density for DIS-C, taking into consideration the nucleotide sequence (Data S1A) and the number of exchangeable (oxygen or nitrogen bound) and nonexchangeable (carbon bound) hydrogens (Figure <ref type="figure">3A</ref>). Additionally, we assumed that the excluded volume would remain constant, with only the molecular mass and density increasing after replacement of 1 H by 2 H. Random fractional deuteration (42%) of the non-exchangeable hydrogens resulted in a contrast match point of 90% D2O buffer for the partially deuterated DIS-C RNA (SLDs of 4.72 &#197; -2 and 5.71 &#197; -2 in 0% and 100% D2O buffer, respectively). We employed the same calculations and deuteration strategy for DIS-Gk (Data S1A). As a control, we experimentally validated the contrast match point of 2 H(42%)-DIS-C to be at 90% D2O buffer (Figure <ref type="figure">S4</ref>). This result agrees with previous findings where the deuteration of 50S subunit ribosomal RNA from E. coli cells grown in 65% D2O incorporated 31% 2 H, resulting in a contrast match point of approximately 80% D2O. <ref type="bibr">59</ref> We chose two experimental buffer conditions: 65% D2O and 90% D2O, within the predicted contrast match points of protiated RNA and 42% deuterated RNA, respectively (Figure <ref type="figure">3A</ref>). Our labeling strategy consisted of three selectively deuterated complexes: 2 H-DIS-C: 1 H-DIS-Gk and 1 H-DIS-C: 2 H(42%)-DIS-Gk, both probing the bound DIS-C, and 2 H(42%)-DIS-C: 1 H-DIS-Gk, probing bound DIS-Gk (Figure <ref type="figure">3B</ref>).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>SANS characterization of bound DIS-C and bound DIS-Gk in complex</head><p>To validate that individual RNAs within an RNA:RNA complex could be contrast matched, we performed SANS experiments on a selectively deuterated DIS-C:DIS-Gk complex. As a proofof-principle, our first SANS experiment was conducted on the 2 H-DIS-C: 1 H-DIS-Gk complex in 65% D2O, masking out the protiated DIS-Gk (Figure <ref type="figure">4A</ref>, Figure <ref type="figure">S5A</ref>). Despite this sample showing signs of subtle aggregation in the low-q region, Guinier derived Rg of 2 H-DIS-C: showing effective contrast matching of one RNA in the complex (Figure <ref type="figure">S8</ref>, Data S1D). We modeled 3D structures of DIS-C and DIS-Gk using RNAMasonry, restrained with goodness-offits to their respective experimental SANS data (Figure <ref type="figure">4C</ref>,<ref type="figure">D</ref>). <ref type="bibr">18</ref> We generated two models for DIS-C, fitted to the data collected at 65% D2O (&#967; 2 = 1.34) and 90% D2O (&#967; 2 = 0.79), and one model for DIS-Gk, fitted to the data collected at 90% D2O (&#967; 2 = 0.74) (Figure <ref type="figure">4A</ref>,<ref type="figure">B</ref>). The theoretical scattering profiles agree well with the experimental scattering, further supporting that the SANS data reflect structural features of the specifically probed RNA.</p><p>To determine if these SANS-derived models were consistent with the isolated RNAs, we fitted them to their respective SAXS data. Both DIS-C SANS models have suboptimal fits to the monomeric DIS-C SAXS data [&#967;&#178; = 2.05 (65%) and &#967;&#178; = 3.57 (90%)], suggesting that there are conformational changes in DIS-C when bound (Figure <ref type="figure">S9</ref>, Table <ref type="table">S1</ref>). Comparably, the DIS-Gk SANS model has a reasonable but suboptimal fit to the monomeric DIS-Gk SAXS data (&#967;&#178; = 1.88),</p><p>suggesting that the perturbations of the bound state are quite small relative to the global ensemble captured in solution (Figure <ref type="figure">S10</ref>, Table <ref type="table">S2</ref>). Rigid body modeling using the SANS-derived structural models represent the overall shape of the complex well (Figure <ref type="figure">S11</ref>). However, as with the SAXS complex rigid body model, the SASREF output has the incorrect orientation and does not include reasonable base pairing or stacking characteristic of RNA:RNA kissing interactions.</p><p>This underscores a limitation in SAXS-only comparisons of complexes, where multiple conformations or orientations of the individual components can satisfy the scattering of the overall complex.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Modeling of the DIS-C:DIS-Gk kissing complex to the SAS data</head><p>To model a physical complex with proper base pairing interactions, we used AF3 <ref type="bibr">21</ref> to generate starting models of the DIS-C:DIS-Gk complex (Figure <ref type="figure">S12A</ref>). These AF3 models were poor fits to the DIS-C:DIS-Gk complex SAXS data, with a &#967;&#178; range of 3.66 to 6.22 (Figure <ref type="figure">S12B</ref>, Table <ref type="table">S3</ref>), indicating that they don't reflect the true conformation of the complex in solution.</p><p>Interestingly, while the AF3 models were poor fits to the SAXS scattering data, the apical loops in these models adopted structures consistent with a kissing interaction. We next generated chimeric structural models in which the apical loops from the AF3 models (with the kissing loop stacking geometry) were appended to the stems of the DIS-C and DIS-Gk RNAMasonry models (Figure <ref type="figure">S12A-C</ref>). These DIS-C and DIS-Gk structures, which include the AF3 kissing loops, were further refined against either our SAXS or SANS data. During refinement, the kissing loop residues were excluded from the coarse-grained modeling (Figure <ref type="figure">5A</ref>, Figure <ref type="figure">S13D</ref>). To identify which of the refined models best represented the bound state of DIS-C and DIS-Gk, we generated theoretical scattering profiles for each model and compared them to our experimental SANS data. Overall, the DIS-C + KL (SANS, 65% D2O) had the best fit to the SANS data collected in 65% D2O (&#967;&#178; = 1.22) and had a roughly similar fit to the other models against the 90% D2O (&#967;&#178; = 0.80) SANS data (Figure <ref type="figure">S14</ref>, Figure <ref type="figure">S15</ref>, Table <ref type="table">S1</ref>). Interestingly, the DIS-Gk + KL (SAXS) model (&#967;&#178; = 0.74) better fit the SANS data (Figure <ref type="figure">S16</ref>, Table <ref type="table">S2</ref>).</p><p>Using the best models as judged by the SANS fits, we aligned the kissing loop residues of DIS-C + KL (SANS, 65% D2O) and DIS-Gk + KL (SAXS) to the kissing loop residues of their respective RNAs in the AF3 predicted DIS-C:DIS-Gk complex (Figure <ref type="figure">5B</ref>) and back-calculated the theoretical scattering of the complex. The DIS-C + KL (SANS, 65% D2O):DIS-Gk + KL (SAXS) complex was a vast improvement relative to the initial AF3 models, fitting the DIS-C:DIS-Gk complex SAXS data with a &#967;&#178; = 1.11 (Figure <ref type="figure">5C</ref>). Notably, a relationship can be drawn when comparing all six possible combinations of the DIS + KL complex from our DIS + KL models.</p><p>Generally, complexes generated with DIS-C + KL and DIS-Gk + KL models that best represent their bound structures (models with the lower &#967;&#178; values relative to the respective SANS data) also had lower &#967;&#178; values against the complex SAXS data, underscoring the utility of SANS to detect the representative bound state (Figure <ref type="figure">S17</ref>, Table <ref type="table">S4</ref>). It should be noted though that due to the large error bars for our 90% D2O SANS data, the statistical power of the &#967;&#178; test is reduced, leading to a lower absolute &#967;&#178; value. However, a relative comparison can still be made when comparing models to the same dataset by looking at their relative difference, where the effect of the noise is consistent across models.</p><p>Although the initial manual alignment of SAXS/SANS-guided models to the AF3 predicted complex worked well to a first approximation, we wanted to optimize the complex structure. To probe the potential dynamics of the complex, we used normal mode analysis to estimate the flexibility of the DIS-C + KL (SANS, 90% D2O):DIS-Gk + KL (SAXS) complex and further improve the agreement to the SAXS data using SREFLEX. <ref type="bibr">60</ref> The best conformer showed a marginal improvement, with a &#967;&#178; = 1.07 and overall RMSD of 4.1 &#197;, opening a few base pairs in the complex (Figure <ref type="figure">S18</ref>). Given the inherent dynamic nature of RNAs, and the DIS RNA specifically, <ref type="bibr">[61]</ref><ref type="bibr">[62]</ref><ref type="bibr">[63]</ref> the modeled flexibility may reflect the behavior of the experimental ensemble.</p><p>This dynamic behavior, however, is not fully captured in the initial structural modeling, which is constrained by stringent base-pairing requirements. Nonetheless, the correspondence between our top SAXS/SANS-guided model and the experimental data suggests that the model provided a reasonable approximation of the experimental observations. Future algorithms capable of directly modeling RNA:RNA complexes using SAS experimental restraints could significantly enhance the optimization and streamlining of complex structural determinations. However, substantial advancements in computational methods and integration of experimental data are still required to achieve this goal. <ref type="bibr">64,</ref><ref type="bibr">65</ref> Overall, based on the SANS data, we demonstrated that there are differences between the SANS structural ensemble exhibited by the DIS RNAs in complex relative to the SAXS structural ensemble of the DIS RNAs in isolation. Additionally, using the SANS data as a validation and refinement tool, we determined the models that best represented the bound state. These models showed an improved fit to the experimental SAXS data of the complex, highlighting the sensitivity and utility of a combined SAXS/SANS approach to elucidate conformational rearrangements of RNA:RNA complexes.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>DISCUSSION</head><p>Computational and biophysical methods that provide insight into the structure and dynamics of RNA:RNA interactions are of great interest. While methods to determine the secondary and tertiary structures of RNAs are in constant development, characterization of RNA:RNA complexes still lags behind other biomolecular complexes. <ref type="bibr">64,</ref><ref type="bibr">66,</ref><ref type="bibr">67</ref> SAXS and SANS are valuable tools in integrative structural studies of biological complexes. <ref type="bibr">30,</ref><ref type="bibr">33,</ref><ref type="bibr">68</ref> However, applications on RNA:RNA complexes have been few, often combining SAXS with other techniques to inform only on the overall complex structure. <ref type="bibr">25,</ref><ref type="bibr">67,</ref><ref type="bibr">69</ref> Our study is the first to investigate structural perturbations of RNA-only systems upon complex formation using a joint SAXS/SANS approach by leveraging selective deuteration and contrast matching. Traditionally, SANS studies of RNA:RNA complexes have been hampered by difficulties in preparing deuterated RNAs, <ref type="bibr">33</ref> but advancements in RNA preparation have made this more accessible. <ref type="bibr">55,</ref><ref type="bibr">57,</ref><ref type="bibr">70</ref> As an alternative approach, contrast variation SAXS, offers higher sensitivity and has been applied to the study of protein:nucleic acid complexes. <ref type="bibr">71</ref> However, to achieve contrast matching, of an RNA:RNA complex, the electronic composition of one of the component RNAs would need to be changed. While it is possible to chemically modify the sugarphosphate backbone, <ref type="bibr">72</ref> this approach is less practical than isotope labeling as it can alter the structure of the RNA. <ref type="bibr">73,</ref><ref type="bibr">74</ref> Consequently, SANS remains an appealing choice due to ease in isotope labeling and the capability of performing experiments under physiologically relevant conditions.</p><p>While our approach depended on the hybridization of two RNAs that were independently labeled, segmental labeling approaches can be used to change the isotope composition of single biomolecules for structural studies. <ref type="bibr">[75]</ref><ref type="bibr">[76]</ref><ref type="bibr">[77]</ref><ref type="bibr">[78]</ref><ref type="bibr">[79]</ref><ref type="bibr">[80]</ref><ref type="bibr">[81]</ref><ref type="bibr">[82]</ref> In fact, through segmental labeling of an alternative splicing factor, SANS could be used to define the domain arrangement of the multi-domain protein. <ref type="bibr">24</ref> Advances in the segmental labeling of RNAs 82 opens the door for similar studies of large, multi-domain RNAs. Our work, which demonstrated the feasibility of contrast matching selectively deuterated RNAs within and RNA:RNA complex, lays the foundation for the study of larger RNA:RNA or RNA:protein complexes where segmental labeling approaches could be applied to allow for the direct observation of specific domains within a large transcript.</p><p>While advancements in structure prediction algorithms such as AF3 have allowed for the prediction of RNA:RNA complexes from sequence alone, the accuracy and confidence of the models are still far from those of proteins. <ref type="bibr">21</ref> Thus, comparison with experimental data, such as SAS, has the potential to test, validate, and guide structure predictions of RNA:RNA complexes. <ref type="bibr">23</ref> While SAXS can validate the free states of the individual RNAs and the overall RNA:RNA complex, CM-SANS is necessary to validate the bound states of the individual RNAs where multiple solutions exist to satisfy the complex SAXS data. While for this simple model system that undergoes only minimal structural perturbations in the ground state, the use of the AF3 model and refinement with RNAMasonry while maintaining the kissing loop interface does result in a model from just the SAXS data that is somewhat similar to that of the SANS data; for systems with larger conformational changes, we expect the combined SAXS/SANS approach to be significantly superior to just SAXS alone.</p><p>However, like any technique, there are several limitations related to sample preparation, data acquisition, and analysis. For sample preparation, the RNA:RNA complex must remain stable over long time exposures, a challenge that could mitigated with advancements in SEC-SANS. <ref type="bibr">83</ref> Additionally, transient RNA:RNA interactions could be stabilized via crosslinking methods. <ref type="bibr">84</ref> SANS experiments are relatively sample intensive, typically requiring approximately 200-500 &#181;L of sample at concentrations of 1-10 mg/mL, similar to sample requirements for NMR spectroscopy or X-ray crystallography.</p><p>An important consideration for SANS experiments is the contrast between the macromolecules in solution. One challenge with studying RNA:RNA complexes by SANS is that maximum contrast between the RNAs is achieved when one species is protiated and the other is perdeuterated. However, it is not possible to contrast match a perdeuterated RNA as the scattering length density is greater than that of 100% D2O buffer (Figure <ref type="figure">3A</ref>). To improve the signal-to-noise ratio of SANS scattering data, it would be ideal to work in 100% D2O contrast match buffer, where contrast between the partially deuterated and protiated species is maximized while there is no incoherent scattering from the buffer. However, it would be important to carefully determine the percent random fractional deuteration for the RNA to be contrast matched at 100% D2O.</p><p>Additionally, unlike SAXS, which requires relatively short exposure times, SANS requires significantly longer exposure to reduce the experimental error in the scattering profiles, allowing for the averaging of more scattering data. <ref type="bibr">85</ref> Nonetheless, this study demonstrates that subtle conformational differences between RNAs in isolation and in complex can be detected through SANS measurements on selectively deuterated RNA:RNA complexes. In conjunction with SAXS and in silico modeling, our approach allows for the reliable construction of structural models from solution scattering data. While we have modeled the RNA:RNA complex in a single state, it is possible that the scattering data would be better fit by an ensemble of structures, which could be informed through molecular dynamics simulations or NMR experiments. Nevertheless, this methodology provides a general basis for the structural investigation of RNA:RNA complexes that may not be amenable to other structural techniques or can be used to validate findings from complementary methods.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>RESOURCE AVAILABILITY</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Lead contact</head><p>Further information and requests for resources and reagents should be directed to and will be fulfilled by the lead contact, Sarah Keane (sckeane@umich.edu).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Materials availability</head><p>This study did not generate new unique reagents. box) was mutated to either all C (red) or all G (blue) to ensure heterodimerization. A kinkedelongation element (blue) was added to DIS-Gk to distinguish it from DIS-C. (B) Preparative-scale size-exclusion chromatogram of the DIS RNAs. DIS-C was added in excess during complex formation to saturate DIS-Gk. (C) Native gel electrophoresis of the SEC-purified DIS RNAs. After SEC-purification, DIS-C:DIS-Gk complex remains monodisperse. scattering (black dots) fit to the theoretical scattering of the DIS-C SAXS (red line) model in (F, top). (B) DIS-Gk experimental scattering (black dots) fit to the theoretical scattering of the DIS-Gk SAXS (blue line) model in (F, bottom). (C) DIS-C:DIS-Gk experimental scattering (black dots) fit to the theoretical scattering of the DIS-C:DIS-Gk rigid body complex (purple line) model in (G). (D) Dimensionless Kratky plot of the DIS RNAs. The dashed gray lines on the plot are guidelines for a peak position of a perfectly globular system. (E) Normalized pair distance distribution function of the DIS RNAs. (F) DIS-C and DIS-Gk structural models using the SAXS data (red and blue, respectively) as restraints. The structural models are fitted to the density map reconstructions (contour levels: 7.5&#963;). (G) SASREF rigid body modeling of structures in (F) optimized to the SAXS data in (C) fitted to the density map reconstruction (contour level: 7.5&#963;). in complex. (A) Calculated scattering length densities (&#961;) of protiated RNA (yellow), 2 H(42%) RNA (teal), and perdeuterated RNA (pink). Contrast between the chosen labeling schemes are denoted as &#916;&#961;. The contrast match points (&#916;&#961;=0) between the RNAs and appropriate H2O:D2O buffer are denoted by vertical dotted lines. (B) Labeling schemes used in our SANS experiments. The protiated RNA is matched out in 65% D2O (left) and the 2 H (42%) RNAs are matched out in 90% D2O (right). (A) Experimental scattering of 2 H-DIS-C: 1 H-DIS-Gk in 65% D2O (gray dots) and 1 H-DIS-C: 2 H(42%)-DIS-Gk in 90% D2O (black dots), where DIS-Gk is matched out. Theoretical scattering profiles of DIS-C structural models in (C) are fitted against their respective experimental SANS data. (B) Experimental scattering of 2 H(42%)-DIS-C: 1 H-DIS-Gk in 90% D2O (black dots), where DIS-C is matched out. Theoretical scattering profiles of the DIS-Gk structural model in (D) is fitted against the experimental SANS data. (C) DIS-C structural models using the SANS data as restraints [pink (65% D2O) and light orange (90% D2O)]. (D) DIS-Gk structural model using the SANS data as restraints [light teal (90% D2O)]. The error bars correspond to one standard deviation of uncertainty. q-points without downward error bars in (A) and (B) have a non-positive lower bound, which cannot be shown on a log axis. model. (A) DIS-C and DIS-Gk models restrained to the SAS data while maintaining proper kissing loop geometry from the AF3 models. (B) Back-calculation of the individual models in (A) to their respective SANS data determined the best models that represented the bound state. (C) Theoretical scattering of the best model, DIS-C + KL (SANS, 90% D2O):DIS-Gk + KL (SAXS), fit to the DIS-C:DIS-Gk SAXS data with corresponding residuals.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>FIGURE TITLES AND LEGENDS</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>STAR&#9733;METHODS</head><p>REAGENT or RESOURCE SOURCE IDENTIFIER Chemicals, peptides, and recombinant proteins Tris base Fisher Scientific Cat#BP152-500 Dithiothreitol (DTT) Fisher Scientific Cat#BP172-5 Spermidine trihydrochloride Acros Organics Cat#AC215100010 Triton X-100 Sigma-Aldrich Cat#T8787-50ML Guanosine-5'-triphosphate disodium salt Sigma-Aldrich Cat#G8877-10MG Adenosine-5'-triphosphate disodium salt Sigma-Aldrich Cat#A2383-1G Cytidine-5'-triphosphate disodium salt Sigma-Aldrich Cat#C1506-10MG Uridine-5'-triphosphate disodium salt MP Biomedicals Cat#191230 T7 RNA polymerase In-house purified N/A RNaseOUT recombinant ribonuclease inhibitor Invitrogen Cat#10777019 Yeast inorganic pyrophosphatase New England Biolabs Cat#M2403S Dimethyl sulfoxide (DMSO) Fisher Scientific Cat#BP231-100 Urea Fisher Scientific Cat#BP169-500 Ethylenediaminetetraacetic acid (EDTA) Fisher Scientific Cat#S311-100 Glycerol Sigma-Aldrich Cat#G5516-100ML UreaGel diluent National Diagnostics Cat#EC-840 UreaGel concentrate National Diagnostics Cat#EC-830 UreaGel buffer National Diagnostics Cat#EC-835 Boric acid Fisher Scientific Cat#BP168-500 Sodium chloride (NaCl) Thermo Fisher Scientific Cat#010862.14 Guanosine 5&#8242;-triphosphate (GTP), ammonium salt (D, 97%) CP 90% (in solution) Cambridge Isotope Laboratories Cat#DLM-7516-CA Uridine 5&#8242;-triphosphate, ammonium salt (D&#8328;, 97%) CP 90% (in solution) Cambridge Isotope Laboratories Cat#DLM-7517-CA Adenosine 5&#8242;-triphosphate (ATP), ammonium salt (D, 97%) CP 90% (in solution) Cambridge Isotope Laboratories Cat#DLM-7514-CA Cytidine 5&#8242;-triphosphate, ammonium salt (D&#8328;, 97%) CP 90% (in solution) Cambridge Isotope Laboratories Cat#DLM-7515-CA Potassium phosphate monobasic Sigma-Aldrich Cat#P9791-100G Potassium phosphate dibasic Sigma-Aldrich Cat#P3786-100G Magnesium chloride hexahydrate Sigma-Aldrich Cat#63068-250G Acrylamide:bis-acrylamide 29:1 (40% Solution) Fisher Scientific Cat#BP1408-1 HEPES Fisher Scientific Cat#BP310-100 Stains-all Thermo Fisher Scientific Cat#J62630.03 Formamide Sigma-Aldrich Cat#47671-250ML-F Deuterium oxide (D2O) Cambridge Isotope Laboratories Cat#DLM-7005 Deposited data SAXS: DIS-C This paper SASDUS8 SAXS: DIS-Gk This paper SASDUT8 SAXS: DIS-C:DIS-Gk This paper SASDUU8 SANS: 2 H-DIS-C: 1 H-DIS-Gk in 65% v/v D2O This paper SASDUV8 SANS: 1 H-DIS-C: 2 H(42%)-DIS-Gk in 90% v/v D2O This paper SASDUW8 SANS: 2 H(42%)-DIS-C: 1 H-DIS-Gk in 90% v/v D2O This paper SASDUX8 Oligonucleotides T7 promoter: 5&#8242;-TAATACGACTCACTATA-3&#8242; (Integrated DNA Technologies) This paper N/A DIS-C: 5&#8242;-mGmGTCTTGCCGTGGGGGGTTCAGCAAGCCCTATA GTGAGTCGTATTA-3&#8242; (Integrated DNA Technologies) This paper N/A DIS-Gk: 5&#8242;-mGmGGTCGCGCTGGCAGAGGTCTTGCCGTCCCCC CTTCAGCAAGCCCAGATCTGCCAGCGCGACCCTATA GTGAGTCGTATTA-3&#8242; (Integrated DNA Technologies) This paper N/A Software and algorithms BioXTAS RAW Hopkins, 2024 88 N/A drt-SANS Heller et al., 2022 89 N/A ATSAS Manalastas-Cantos et al., 2021 90 N/A GNOM Svergun, 1992 47 N/A DENSS Grant, 2018 49 N/A RNAMasonry Chojnowski et al., 2023 18 N/A FoXS Schneidman-Duhovny et al., 2013 50 N/A CRYSON Svergun et al., 1998 91 N/A SASREF Petoukhov and Svergun, 2005 52 N/A CRYSOL Franke et al., 2017 92 N/A SREFLEX Panjkovich and Svergun, 2016 60 N/A UCSF Chimera Pettersen et al., 2004 93 N/A RNAcanvas Johnson and Simon, 2023 94 N/A</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>METHOD DETAILS</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Construct design and template preparation</head><p>The sequences of the RNAs in this study are provided in Table <ref type="table">S1A</ref>. DNA templates, which include a T7 promoter sequence, were ordered from Integrated DNA Technologies (IDT) (Table <ref type="table">S6</ref>). DNA templates were C2&#8242;-methoxy-modified at the first two positions to reduce 3&#8242;-end non-templated nucleotide addition during in vitro transcription (IVT). <ref type="bibr">95</ref> The double-stranded DNA templates for IVTs were prepared by annealing the desired DNA oligonucleotide (40 &#956;L, 200 &#956;M) with an oligonucleotide corresponding to the T7 promoter sequence (20 &#956;L, 600 &#956;M) in a boiling water bath for 3 min, followed by slow-cooling to room temperature. The duplex was subsequently diluted to 1 mL with nuclease-free water for use in IVT reactions. high purity NaCl, and desalted into nuclease-free water using Amicon Ultra-4 centrifugal filter units (MilliporeSigma). RNA purity was checked via an analytical 10-14% denaturing urea polyacrylamide gel. RNA concentration was quantified using a NanoDrop One UV-Vis spectrophotometer (Thermo Scientific). Partially-and per-deuterated RNAs were produced as described above by replacing the protiated rNTP mixture with an rNTP mixture that contained the desired fraction of perdeuterated rNTPs (Cambridge Isotope Laboratories). Importantly, the deuteration level was controlled for each rNTP, rather than by nucleotide type, in an effort to ensure random fractional deuteration.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>In vitro transcription of</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Native gel electrophoresis</head><p>RNA samples (10 &#956;M, in water) were denatured by incubating in a boiling water bath for 3 min and then refolded by snap-cooling in an ice water bath for 3 min. Folding buffer was added to a final concentration of 50 mM potassium phosphate, 1 mM MgCl2, 50 mM NaCl, pH = 7.5 and samples were incubated at 37 &#176;C with shaking (75 rpm) for 30 min. The pre-folded RNAs (10 &#956;M each) were mixed together in folding buffer and incubated (37 &#176;C, 75 rpm, 30 min) to promote complex formation. Addition of 8.3% (vol/vol) glycerol was added to the samples prior to loading.</p><p>Samples were thoroughly mixed and loaded onto an 12% native polyacrylamide gel. Gels were run at 100 V at room temperature for ~2 h, with running buffer being mixed every ~30 min. The native gel and running buffer were prepared to a final concentration of 50 mM HEPES, 1 mM MgCl2, pH = 7.5. Gels were stained using a 0.0015% (w/v) Stains-All (Thermo Scientific) in a 1.5:1 formamide:water solution and destained in water. Gels were imaged using a Gel Doc XR+ system (Bio-Rad).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Size-exclusion chromatography</head><p>Liquid chromatography was performed in 50 mM potassium phosphate buffer,</p><p>1 mM MgCl2, 50 mM NaCl, pH = 7.5 at room temperature on an NGC Chromatography System (Bio-Rad) equipped with a UV/Vis detector module, monitoring absorbance at 260 nm. Analytical scale size-exclusion chromatography (SEC) of RNA samples (100 &#956;L, 0.2-0.8 mg/mL) was performed on a Superdex 75 Increase 10/300 GL column. Preparative scale SEC of RNA samples (1 mL, 1.0-3.0 mg/mL) was performed on a HiLoad 16/600 Superdex 75 pg column. Samples were either filtered using 0.22 &#956;m Costar Spin-X centrifuge tube filters (Corning) or centrifuged (15,000 &#215; g, 10 min) prior to loading. A flow rate of 0.5-1 mL/min was used in all chromatographic steps. SEC-SAXS data acquisition SAXS was performed at BioCAT, beamline 18ID at the Advanced Photon Source (Argonne National Laboratory, Lemont, IL) in 50 mM potassium phosphate buffer, 1 mM MgCl2, 50 mM NaCl, pH = 7.5 at 20 &#176;C, with in-line SEC to separate homogeneous samples of interest from aggregates and other contaminants. RNA samples (250-500 &#956;L, 0.8-8.8 mg/mL) were loaded onto a Superdex 75 Increase 10/300 GL column (Cytiva) and run at 0.6 mL/min by an AKTA Pure FPLC (GE) with UV monitoring at 260 nm. The eluate was passed through the 1.0 mm ID quartz capillary SAXS flow cell with ~20 &#956;m walls. A coflowing buffer sheath was used to separate the sample from the capillary walls, reducing radiation damage. <ref type="bibr">96</ref> Scattering intensity was recorded using an Eiger2 XE 9M (Dectris) detector which was placed 3.678 m from the sample giving access to a q-range of 0.0028 &#197; -1 to 0.42 &#197; -1 . 0.5 s exposures were acquired every 1 s during elution.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>SAXS data analysis and modeling</head><p>All SAXS scattering parameters are reported according to the recommended publication guidelines for SAS studies (Table <ref type="table">S1</ref>). <ref type="bibr">97</ref> All SAXS data was reduced and processed using BioXTAS RAW (2.2.1). <ref type="bibr">88</ref> Buffer blanks, which were used for buffer subtraction, were created by averaging regions preceding and/or following the elution peak. The buffer blanks were subtracted from exposures within the elution peak to generate 1D I(q) vs q curves of the RNAs used for subsequent analyses.</p><p>Guinier and dimensionless Kratky analyses were carried out in BioXTAS RAW (2.2.1). <ref type="bibr">88</ref> The molecular mass estimates were obtained from the Porod volume (Vp) using a q-cutoff of 0.15 &#197; -1 and a macromolecule density of 0.00054 kDa/&#197; 3 . <ref type="bibr">98</ref> The GNOM package within ATSAS (3.0.3) was used to determine the pair-distance distribution function [P(r)] required for molecular reconstruction. <ref type="bibr">90,</ref><ref type="bibr">99</ref> DENSS was used to calculate 3D electron density reconstructions. <ref type="bibr">49,</ref><ref type="bibr">100</ref> For DENSS, 20 reconstructions were performed in slow mode using default parameters and averaged.</p><p>All electron density reconstructions are contoured at 7.5&#963; visualizing regions with an electron density of at least: &#120588; + 7.5&#120590;, where &#120588; (e/&#197;&#179;) is the mean electron density and &#120590; (e/&#197; 3 ) is the root mean square (RMS). Structural models of the individual RNAs were predicted using RNAMasonry (0.9.14) using their sequence and predicted secondary structure [from RNAstructure (6.</p><p>3)] of the RNAs. <ref type="bibr">18,</ref><ref type="bibr">101</ref> Structures were generated in an iterative manner over 100 folding steps where the models were restrained with experimental SAXS data. During the iterative folding process, FoXS was used as a measure of the goodness-of-fit (&#967; 2 ) of the models. <ref type="bibr">51</ref> Rigid body modeling was performed using the SASREF package from ATSAS (3.2.1) to model the DIS-C:DIS-Gk complex, using the RNAMasonry structures as an input. <ref type="bibr">52,</ref><ref type="bibr">90</ref> Amplitude calculations of the input PDBs for SASREF was done using CRYSOL from ATSAS (3.2.1). <ref type="bibr">102</ref> Theoretical scattering profiles of the complex were back-calculated using FoXS. <ref type="bibr">50,</ref><ref type="bibr">51</ref> All alignments of high-resolution atomic models were done using the "Nucleic" matrix in MatchMaker in UCSF Chimera 1.15 unless otherwise stated. <ref type="bibr">93</ref> All superimpositions of high resolution atomic models on solution scattering envelopes were done in UCSF Chimera 1.15 using the Fit in Map tool unless otherwise specified. 93</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>SANS data acquisition</head><p>All SANS scattering parameters are reported according to the recommended publication guidelines for SAS studies (Table <ref type="table">S1</ref>). <ref type="bibr">97</ref> SANS was performed at the CG-3 Bio-SANS instrument in the High Flux Isotope Reactor facility (Oak Ridge National Laboratory, Oak Ridge, TN). <ref type="bibr">103,</ref><ref type="bibr">104</ref> A single standard configuration of the dual detector system was set with the Panel Scan feature of the instrument with the main detector at 7 m and the wide-angle curved detector at 1.1 m and 3.2&#176; to sample position. The instrument settings provide a q-range of 0.007 &#197; -1 to 1 &#197; -1 . The neutron wavelength (&#955;) was 6 &#197; with a relative wavelength spread (&#916;&#955;/&#955;) of 13.2%. SANS data were corrected for instrument background, detector sensitivity, and instrument geometry using facility data reduction software, drt-SANS. <ref type="bibr">89</ref> To improve data statistics and increase the number of q points for Guinier and P(r) analysis of the SANS data, 33 and 66 q values per log decade were used for the scattering vector (q) for samples in 65% D2O and 90% D2O buffers, respectively. Reference measurements including the direct beam, empty cell, and exactly matched buffers (obtained after buffer exchange, from either the flow-through of centrifugal ultrafiltration devices or from the SEC buffer) were measured to perform data reduction. SANS measurements were performed at room temperature with SANS samples (300 &#956;L, 4.2-10.0 mg/mL) in 65% or 90% D2O (50 mM potassium phosphate buffer, 1 mM MgCl2, 50 mM NaCl, pH = 7.5) contained in cylindrical cells with a path length of 1 mm (Hellma). Measurement times for the samples in 90% D2O buffer were as follows: 16 h for the empty cell, 15 h for the buffer, 15 h for 1 H-DIS-C: 2 H(42%)-DIS-Gk, and 18 h for 2 H(42%)-DIS-C: 1 H-DIS-Gk. Measurement times for the sample in 65% D2O buffer were as follows: 8 h for the empty cell, 9.5 h for the buffer, and 9.5 h for 2 H-DIS-C: 1 H-DIS-Gk. To ensure the RNAs were stable for the duration of these long experiments, we closely monitored sample integrity by gel electrophoresis.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>SANS data analysis and modeling</head><p>All further data analysis was performed using BioXTAS RAW (2.2.1). <ref type="bibr">88</ref> The radii of gyration (Rg)</p><p>were extracted via Guinier approximation. The P(r) functions were determined using the GNOM package in ATSAS (3.0.3). <ref type="bibr">90,</ref><ref type="bibr">99</ref> Atomic models of the RNA molecules were predicted using RNAMasonry (0.9.14) as described in the "SAXS data analysis and modeling" section except using the experimental SANS curves as folding restraints, which utilizes CRYSON from ATSAS to calculate &#967; 2 . <ref type="bibr">18,</ref><ref type="bibr">91</ref> Rigid body modeling and calculation of the theoretical scattering profile of the SANS-derived complex were done as described in the "SAXS data analysis and modeling" section.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Structure building and modeling the DIS-C:DIS-Gk kissing complex</head><p>Five models of the DIS-C:DIS-Gk kissing complex were generated using AF3. <ref type="bibr">21</ref> The monomeric DIS-C and DIS-Gk SAS-derived models as described in the "SAXS/SANS data analysis and modeling" sections were aligned to the AF3 complex model 4. The apical loops of the AF3 RNAs and stems of the SAS-derived RNAs were isolated by deleting all other nucleotides. The apical loops of the AF3 RNAs were appended to the SAS-derived models using the "Adjust Bonds" tool, connecting the phosphate backbone atoms. These structural models, containing proper kissing loop (KL) stacking, were used as the input for a subsequent DIS + KL structure build in RNAMasonry (0.9.14). <ref type="bibr">18</ref> In addition to the above parameters (100 folding steps, refined with the SAS data), the "freeze" command was applied to the KL residues (13-18 for DIS-C, 32-37 for DIS-Gk) of the input models, which fixed the position of those residues while allowing the other residues to be refined. To model the DIS-C:DIS-Gk complex, the individual KL models were aligned to the KLs of the AF3 complex model 4. SREFLEX was used to estimate the flexibility and optimize the top complex model against the SAXS data. 60</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>RNA structure drawing</head><p>All RNA secondary structures were rendered using RNAcanvas. 94</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>QUANTIFICATION AND STATISTICAL ANALYSIS</head><p>A chi-squared test (&#967; 2 ) has been used to determine the goodness-of-fit between experimental data and theoretical data derived from the structural models.</p></div></body>
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