research papers\(\def\hfill{\hskip 5em}\def\hfil{\hskip 3em}\def\eqno#1{\hfil {#1}}\)

IUCrJ
Volume 9| Part 6| November 2022| Pages 768-777
ISSN: 2052-2525

Multi-crystal native-SAD phasing at 5 keV with a helium environment

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aCenter on Membrane Protein Production and Analysis, New York Structural Biology Center, New York, NY 10027, USA, bPhoton Sciences, NSLS-II, Brookhaven National Laboratory, Upton, NY 11973, USA, cDepartment of Biochemistry and Molecular Biophysics, Columbia University, New York, NY 10032, USA, dDepartment of Physiology and Cellular Biophysics, Columbia University, New York, NY 10032, USA, and eBiology Department, Brookhaven National Laboratory, Upton, NY 11973, USA
*Correspondence e-mail: qunliu@bnl.gov

Edited by Z.-J. Liu, Chinese Academy of Sciences, China (Received 18 August 2022; accepted 3 October 2022; online 21 October 2022)

De novo structure determination from single-wavelength anomalous diffraction using native sulfur or phospho­rus in biomolecules (native-SAD) is an appealing method to mitigate the labor-intensive production of heavy-atom derivatives and seleno­methio­nyl substitutions. The native-SAD method is particularly attractive for membrane proteins, which are difficult to produce and often recalcitrant to grow into decent-sized crystals. Native-SAD uses lower-energy X-rays to enhance anomalous signals from sulfur or phospho­rus. However, at lower energies, the scattering and absorption of air contribute to the background noise, reduce the signals and are thus adverse to native-SAD phasing. We have previously demonstrated native-SAD phasing at an energy of 5 keV in air at the NSLS-II FMX beamline. Here, the use of a helium path developed to reduce both the noise from background scattering and the air absorption of the diffracted X-ray beam are described. The helium path was used for collection of anomalous diffraction data at 5 keV for two proteins: thaumatin and the membrane protein TehA. Although anomalous signals from each individual crystal are very weak, robust anomalous signals are obtained from data assembled from micrometre-sized crystals. The thaumatin structure was determined from 15 microcrystals and the TehA structure from 18 microcrystals. These results demonstrate the usefulness of a helium environment in support of native-SAD phasing at 5 keV.

1. Introduction

Macromolecular X-ray crystallography is the mainstay technology for structure determination, accounting for nearly 90% of all PDB deposits as of 1 June 2022. (https://www.rcsb.org/stats/summary). However, each structure determination must solve the phase problem in order to transform X-ray diffraction intensities into molecular images. Molecular replacement (MR) is the dominant method to solve the phase problem [for approximately 80% of all PDB deposits (Jin et al., 2020[Jin, S., Miller, M. D., Chen, M., Schafer, N. P., Lin, X., Chen, X., Phillips, G. N. & Wolynes, P. G. (2020). IUCrJ, 7, 1168-1178.])]. However, MR cannot be used for macromolecules without a structurally similar model. This situation is exacerbated for membrane proteins: about 30% of the human genome contains codes for membrane proteins (Wallin & Heijne, 1998[Wallin, E. & von Heijne, G. (1998). Protein Sci. 7, 1029-1038.]), however only 3.7% of deposited structures in the PDB are membrane proteins (https://pdbtm.enzim.hu/?_=/statistics/growth) and many of them are from prokaryotes and have low sequence identity to their structurally uncharacterized eukaryotic homologs. Indeed, half of all the unique membrane protein structures were determined by de novo structure determination, rather than MR (Huang et al., 2018[Huang, C. Y., Olieric, V., Howe, N., Warshamanage, R., Weinert, T., Panepucci, E., Vogeley, L., Basu, S., Diederichs, K., Caffrey, M. & Wang, M. (2018). Commun. Biol. 1, 124.]). Even when there is a similar structure model or a predicted model by AlphaFold (Jumper et al., 2021[Jumper, J., Evans, R., Pritzel, A., Green, T., Figurnov, M., Ronneberger, O., Tunyasuvunakool, K., Bates, R., Žídek, A., Potapenko, A., Bridgland, A., Meyer, C., Kohl, S. A. A., Ballard, A. J., Cowie, A., Romera-Paredes, B., Nikolov, S., Jain, R., Adler, J., Back, T., Petersen, S., Reiman, D., Clancy, E., Zielinski, M., Steinegger, M., Pacholska, M., Berghammer, T., Bodenstein, S., Silver, D., Vinyals, O., Senior, A. W., Kavukcuoglu, K., Kohli, P. & Hassabis, D. (2021). Nature, 596, 583-589.]) or RoseTTAFold (Baek et al., 2021[Baek, M., DiMaio, F., Anishchenko, I., Dauparas, J., Ovchinnikov, S., Lee, G. R., Wang, J., Cong, Q., Kinch, L. N., Schaeffer, R. D., Millán, C., Park, H., Adams, C., Glassman, C. R., DeGiovanni, A., Pereira, J. H., Rodrigues, A. V., van Dijk, A. A., Ebrecht, A. C., Opperman, D. J., Sagmeister, T., Buhlheller, C., Pavkov-Keller, T., Rathinaswamy, M. K., Dalwadi, U., Yip, C. K., Burke, J. E., Garcia, K. C., Grishin, N. V., Adams, P. D., Read, R. J. & Baker, D. (2021). Science, 373, 871-876.]), conformational changes and model bias may compromise the structure determination and refinement (Kleywegt, 2000[Kleywegt, G. J. (2000). Acta Cryst. D56, 249-265.]). Therefore, de novo structure determination remains a requirement for the structure determination of many proteins.

Single-wavelength anomalous diffraction (SAD) is the most commonly used method for de novo structure determination (Wang, 1985[Wang, B. C. (1985). Methods Enzymol. 115, 90-112.]; Chen et al., 1991[Chen, L. Q., Rose, J. P., Breslow, E., Yang, D., Chang, W. R., Furey, W. F. Jr, Sax, M. & Wang, B. C. (1991). Proc. Natl Acad. Sci. USA, 88, 4240-4244.]; Cowtan & Main, 1993[Cowtan, K. D. & Main, P. (1993). Acta Cryst. D49, 148-157.]; Hendrickson, 2014[Hendrickson, W. A. (2014). Q. Rev. Biophys. 47, 49-93.]). SAD phasing depends on the anomalous scattering factor f″ (Liu & Hendrickson, 2017[Liu, Q. & Hendrickson, W. A. (2017). Methods Mol. Biol. 1607, 377-399.]) and it has been mostly performed on heavy-atom (Z > 20, such as Hg, Au, Ir) derivatives of protein crystals by heavy-atom soaking, co-crystallization or seleno­methio­nine (SeMet) substitution (Pike et al., 2016[Pike, A. C. W., Garman, E. F., Krojer, T., von Delft, F. & Carpenter, E. P. (2016). Acta Cryst. D72, 303-318.]). However, screening heavy-atom derivatives is time-consuming, and very often crystals may be resistant to derivatization, especially membrane proteins because of poor yield or low efficiency of SeMet incorporation (Pike et al., 2016[Pike, A. C. W., Garman, E. F., Krojer, T., von Delft, F. & Carpenter, E. P. (2016). Acta Cryst. D72, 303-318.]).

The alternative of de novo structure determination using intrinsic anomalous scatterers, such as sulfur in protein and phospho­rus in nucleic acids, is attractive because only native macromolecule crystals are needed, thus saving the complication of derivatization or SeMet substitution. This is called native-SAD (Liu et al., 2012[Liu, Q., Dahmane, T., Zhang, Z., Assur, Z., Brasch, J., Shapiro, L., Mancia, F. & Hendrickson, W. A. (2012). Science, 336, 1033-1037.]; Rose et al., 2015[Rose, J. P., Wang, B.-C. & Weiss, M. S. (2015). IUCrJ, 2, 431-440.]). However, there are challenges associated with native-SAD phasing; only a small number of PDB deposits were determined by this method (Rose et al., 2015[Rose, J. P., Wang, B.-C. & Weiss, M. S. (2015). IUCrJ, 2, 431-440.]; Weinert et al., 2017[Weinert, T., Olieric, N., Cheng, R., Brünle, S., James, D., Ozerov, D., Gashi, D., Vera, L., Marsh, M., Jaeger, K., Dworkowski, F., Panepucci, E., Basu, S., Skopintsev, P., Doré, A. S., Geng, T., Cooke, R. M., Liang, M., Prota, A. E., Panneels, V., Nogly, P., Ermler, U., Schertler, G., Hennig, M., Steinmetz, M. O., Wang, M. & Standfuss, J. (2017). Nat. Commun. 8, 542.]). One challenge is that the sulfur K-edge is at 2.47 keV (Liu & Hendrickson, 2017[Liu, Q. & Hendrickson, W. A. (2017). Methods Mol. Biol. 1607, 377-399.]), which is unreachable from the X-ray energies available at most synchrotron beamlines for biological crystallography. The second challenge at 2.47 keV is parallax effects from the use of flat detectors (Rose et al., 2015[Rose, J. P., Wang, B.-C. & Weiss, M. S. (2015). IUCrJ, 2, 431-440.]). The third challenge is the absorption and scattering from air, which contribute to background, absorb faint signals and thus decrease signal over noise. When the energy of the X-rays is reduced towards the K-edge of sulfur or phospho­rus, f″ increases (Liu et al., 2013[Liu, Q., Liu, Q. & Hendrickson, W. A. (2013). Acta Cryst. D69, 1314-1332.]). As a compromise, it is advantageous to carry out lower-energy native-SAD phasing at a higher energy. However, the benefits of lowered X-ray energy are offset by X-ray absorption and background scattering from air (Liu et al., 2013[Liu, Q., Liu, Q. & Hendrickson, W. A. (2013). Acta Cryst. D69, 1314-1332.]; Wagner et al., 2016[Wagner, A., Duman, R., Henderson, K. & Mykhaylyk, V. (2016). Acta Cryst. D72, 430-439.]). The most successful native-SAD phasing has been performed at an X-ray energy of around 6–7 keV (Mueller-Dieckmann et al., 2005[Mueller-Dieckmann, C., Panjikar, S., Tucker, P. A. & Weiss, M. S. (2005). Acta Cryst. D61, 1263-1272.]; Weinert et al., 2015[Weinert, T., Olieric, V., Waltersperger, S., Panepucci, E., Chen, L., Zhang, H., Zhou, D., Rose, J., Ebihara, A., Kuramitsu, S., Li, D., Howe, N., Schnapp, G., Pautsch, A., Bargsten, K., Prota, A. E., Surana, P., Kottur, J., Nair, D. T., Basilico, F., Cecatiello, V., Pasqualato, S., Boland, A., Weichenrieder, O., Wang, B. C., Steinmetz, M. O., Caffrey, M. & Wang, M. (2015). Nat. Methods, 12, 131-133.]). To minimize these hurdles at energies below 6 keV, smaller sized crystals (∼20 µm or less) and an in-vacuum beamline (Aurelius et al., 2017[Aurelius, O., Duman, R., El Omari, K., Mykhaylyk, V. & Wagner, A. (2017). Nucl. Instrum. Methods Phys. Res. B, 411, 12-16.]) or helium paths (Basu, Olieric et al., 2019[Basu, S., Olieric, V., Leonarski, F., Matsugaki, N., Kawano, Y., Takashi, T., Huang, C.-Y., Yamada, Y., Vera, L., Olieric, N., Basquin, J., Wojdyla, J. A., Bunk, O., Diederichs, K., Yamamoto, M. & Wang, M. (2019). IUCrJ, 6, 373-386.]) can be used.

In addition to the X-ray energy, due to sample absorption the measurable anomalous signals from sulfur depend on the sample size (Liu et al., 2012[Liu, Q., Dahmane, T., Zhang, Z., Assur, Z., Brasch, J., Shapiro, L., Mancia, F. & Hendrickson, W. A. (2012). Science, 336, 1033-1037.]; Liebschner et al., 2016[Liebschner, D., Yamada, Y., Matsugaki, N., Senda, M. & Senda, T. (2016). Acta Cryst. D72, 728-741.], Basu, Olieric et al., 2019[Basu, S., Olieric, V., Leonarski, F., Matsugaki, N., Kawano, Y., Takashi, T., Huang, C.-Y., Yamada, Y., Vera, L., Olieric, N., Basquin, J., Wojdyla, J. A., Bunk, O., Diederichs, K., Yamamoto, M. & Wang, M. (2019). IUCrJ, 6, 373-386.]). For large crystals (bigger than 100 µm in size), our calculations showed it to be advantageous to collect data at 6–7 keV in order to mitigate the sample absorption problem (Liu et al., 2013[Liu, Q., Liu, Q. & Hendrickson, W. A. (2013). Acta Cryst. D69, 1314-1332.]). For small crystals (<50 µm), it might be better to use sub-6 keV X-rays to exploit enhanced transmitted anomalous signals. Indeed, Liebschner et al. (2016[Liebschner, D., Yamada, Y., Matsugaki, N., Senda, M. & Senda, T. (2016). Acta Cryst. D72, 728-741.]) showed the advantage of 4.6 keV over 6.5 keV for native-SAD phasing of ferredoxin reductase and lysozyme using crystals less than 100 µm in size. Thus, it appears attractive to use sub-6 keV X-rays for native-SAD phasing for a difficult structure determination as is typically the case for membrane proteins.

Here, we describe the use of a helium path developed at the National Synchrotron Light Source II (NSLS-II) FMX beamline (Schneider et al., 2021[Schneider, D. K., Shi, W., Andi, B., Jakoncic, J., Gao, Y., Bhogadi, D. K., Myers, S. F., Martins, B., Skinner, J. M., Aishima, J., Qian, K., Bernstein, H. J., Lazo, E. O., Langdon, T., Lara, J., Shea-McCarthy, G., Idir, M., Huang, L., Chubar, O., Sweet, R. M., Berman, L. E., McSweeney, S. & Fuchs, M. R. (2021). J. Synchrotron Rad. 28, 650-665.]) to improve the diffraction data signal-to-noise ratio at 5 keV. We also describe the procedure of successful native-SAD phasing for a soluble protein thaumatin and a challenging membrane protein TehA from fewer than 20 microcrystals.

2. Methods

2.1. Implementation of a helium path

The FMX beamline is equipped with a DECTRIS EIGER X 16M detector, which has a detector shield to prevent accidental damage. To fit the detector size and to reduce air scattering and absorption for our experiments at 5 keV, we developed a pyramidal plastic helium path as shown in Fig. 1[link](a). The helium path is mounted on a frame surrounding the detector housing. It features an inlet on top and an outlet at the bottom of the chamber for helium flow, an oxygen sensor to verify fill levels, and one thin X-ray transparent Kapton window (7.62 µm thickness) on the upstream sample end. The distance between sample and detector is fixed at 137 mm, corresponding to a diffraction limit (dmin) of 2.9 Å at the detector edge, and 2.5 Å in the detector corner for the 5 keV experiments. The beamline tungsten beamstop is 5 mm thick and is placed at a distance of 5 mm after the sample and 2 mm before the Kapton window (45 × 45 mm). So, the distance from the sample to the window is 12 mm in the beam direction.

[Figure 1]
Figure 1
A helium environment for low-energy X-ray experiments. (a) The helium path setup at the FMX experimental station. The X-ray beam passes through the nitro­gen cooling gas stream after exiting the beam collimator tube 5 mm upstream of the crystal into the beamstop 5 mm downstream of the crystal. The scattered radiation passes through a Kapton window with a thickness of 7.62 µm at a distance of 12 mm downstream of the sample position. The detector surface of the EIGER X 16M detector is at 137 mm downstream of the crystal position. (b) and (c) Plot of 〈I/σ(I)〉 against dmin. Highest signal-to-noise among single-crystal dataset of (b) thaumatin or (c) TehA included 1620 frames.

2.2. Sample preparation

C-terminal His-tagged TehA was expressed in E. coli BL21(DE3) pLysS (Thermo Fisher Scientific) and purified by IMAC and size-exclusion chromatography as described by Chen et al. (2010[Chen, Y. H., Hu, L., Punta, M., Bruni, R., Hillerich, B., Kloss, B., Rost, B., Love, J., Siegelbaum, S. A. & Hendrickson, W. A. (2010). Nature, 467, 1074-1080.]). Purified TehA in 10 mM Tris pH 8.0, 200 mM NaCl, 1 mM EDTA, 0.5 mM TCEP and 50 mM octyl β-D-glucopyran­oside (β-OG), after removal of His-tag by TEV protease, was concentrated to 15 mg ml−1 with a Vivaspin 100 kDa cutoff (SARTORIUS) centrifugal concentrator. Concentrated TehA was supplemented with 10 mM spermidine then mixed with 0.1 M HEPES pH 7.8, 1 mM ZnSO4, 27–29% PEG 400 in a ratio of 1:1 (v/v) for crystallization by the sitting-drop method at 4°C. Microcrystals of about 20 × 20 × 20 µm grew overnight and were harvested by centrifugation at 500g for 5 min followed by removal of solution and resuspension with stabilization buffer consisting of 0.1 M HEPES pH 7.8, 1 mM ZnSO4, 27% PEG 400 and 50 mM β-OG in a cold room. Microcrystals were mounted in MiTeGen loops and cryo-cooled in liquid nitro­gen for diffraction data collection.

Thaumatin crystals were prepared as described previously (Guo et al., 2018[Guo, G., Fuchs, M. R., Shi, W., Skinner, J., Berman, E., Ogata, C. M., Hendrickson, W. A., McSweeney, S. & Liu, Q. (2018). IUCrJ, 5, 238-246.]). Crystals with sizes of about 20 × 20 × 20 µm were mounted in MiTeGen loops and cryo-cooled in liquid nitro­gen for diffraction data collection.

2.3. Diffraction data collection

Microdiffraction data were collected at the FMX beamline at NSLS-II (Schneider et al., 2021[Schneider, D. K., Shi, W., Andi, B., Jakoncic, J., Gao, Y., Bhogadi, D. K., Myers, S. F., Martins, B., Skinner, J. M., Aishima, J., Qian, K., Bernstein, H. J., Lazo, E. O., Langdon, T., Lara, J., Shea-McCarthy, G., Idir, M., Huang, L., Chubar, O., Sweet, R. M., Berman, L. E., McSweeney, S. & Fuchs, M. R. (2021). J. Synchrotron Rad. 28, 650-665.]). We tuned the X-ray energy to 5 keV with a beam size of 5 × 6 µm (V × H). The measured beam flux was about 6 × 1010 photons s−1. Prior to data collection, the path was filled with helium gas as measured by the decreased level of oxygen using an oxygen sensor with a small, continuous flow after filling. Diffraction data were collected for each thaumatin or TehA crystal in rotation steps of 0.2° and an exposure time of 0.02 s per frame. At a sample-to-detector distance of 137 mm, the corresponding Bragg spacing was about 2.9 Å at the detector edge. The estimated X-ray transmission was 52% in the detector center and 36% at the detector edge. With the helium path filled, we collected 17 datasets for thaumatin and 23 datasets for TehA. For the purpose of comparing the impact of the helium path, we randomly selected 9 thaumatin crystals and 8 TehA crystals for the same data collection, but with air in the path.

2.4. Data reduction and assembly

Single-crystal datasets (total 1800 frames for each crystal and 0.2° oscillation per frame) were indexed and integrated independently as 10 accumulated wedges per crystal (1–180, 1–360, …, 1–1800) using PyMDA (Takemaru et al., 2020[Takemaru, L., Guo, G., Zhu, P., Hendrickson, W. A., McSweeney, S. & Liu, Q. (2020). J. Appl. Cryst. 53, 277-281.]) which integrates the software DIALS, POINTLESS and AIMLESS (Waterman et al., 2016[Waterman, D. G., Winter, G., Gildea, R. J., Parkhurst, J. M., Brewster, A. S., Sauter, N. K. & Evans, G. (2016). Acta Cryst. D72, 558-575.]; Winter et al., 2018[Winter, G., Waterman, D. G., Parkhurst, J. M., Brewster, A. S., Gildea, R. J., Gerstel, M., Fuentes-Montero, L., Vollmar, M., Michels-Clark, T., Young, I. D., Sauter, N. K. & Evans, G. (2018). Acta Cryst. D74, 85-97.]; Evans, 2011[Evans, P. R. (2011). Acta Cryst. D67, 282-292.]; Evans & Murshudov, 2013[Evans, P. R. & Murshudov, G. N. (2013). Acta Cryst. D69, 1204-1214.]). All wedges were scaled and the best wedges (CC1/2 value above 0.9 at 4 Å) were chosen for each crystal and then merged to 2.6 Å in PyMDA using its assembly module. To remove outlier crystals, crystal rejection was performed one-by-one in PyMDA from the assembled dataset for thaumatin (17 crystals) and TehA (23 crystals). The assembled datasets after each crystal rejection were further subjected to a different extent of frame rejection using PyMDA. The extent of frame rejection is defined using frame_cutoff = [min(SmRmerge) × (1 + decay)], where min(SmRmerge) is the lowest SmRmerge, reported by AIMLESS, within a single-crystal dataset; and decay is a rejection ratio of ∞ (no rejection), 500, 200, 150, 100 and 50%. Frames with SmRmerge larger than frame_cutoff were excluded from assembly in AIMLESS. For example, 200% indicates that frames with an SmRmerge of 200% more than min(SmRmerge) are rejected from scaling and merging (Guo et al., 2019[Guo, G., Zhu, P., Fuchs, M. R., Shi, W., Andi, B., Gao, Y., Hendrickson, W. A., McSweeney, S. & Liu, Q. (2019). IUCrJ, 6, 532-542.]; Takemaru et al., 2020[Takemaru, L., Guo, G., Zhu, P., Hendrickson, W. A., McSweeney, S. & Liu, Q. (2020). J. Appl. Cryst. 53, 277-281.]). Fig. S3 of the supporting information summarizes the overall data reduction and assembly workflow.

2.5. Structure determination and anomalous scatterer calculations

The substructures of the anomalous scatterers were determined with SHELXD (Sheldrick, 2010[Sheldrick, G. M. (2010). Acta Cryst. D66, 479-485.]) in the CCP4I2 package (Potterton et al., 2018[Potterton, L., Agirre, J., Ballard, C., Cowtan, K., Dodson, E., Evans, P. R., Jenkins, H. T., Keegan, R., Krissinel, E., Stevenson, K., Lebedev, A., McNicholas, S. J., Nicholls, R. A., Noble, M., Pannu, N. S., Roth, C., Sheldrick, G., Skubak, P., Turkenburg, J., Uski, V., von Delft, F., Waterman, D., Wilson, K., Winn, M. & Wojdyr, M. (2018). Acta Cryst. D74, 68-84.]). In total, 5000 trials were performed to search for anomalous scatterers in thaumatin and TehA data with Emin cutoffs between 1.3 and 1.7 and resolution cutoffs between 3.0 and 5.0 Å. The substructure which showed the highest SHELXD CCall/weak values was used to calculate the initial SAD phases in PHASER (Read & McCoy, 2011[Read, R. J. & McCoy, A. J. (2011). Acta Cryst. D67, 338-344.]), followed by density modification with PARROT (Cowtan, 2010[Cowtan, K. (2010). Acta Cryst. D66, 470-478.]). Model building was performed using BUCCANEER (Cowtan, 2006[Cowtan, K. (2006). Acta Cryst. D62, 1002-1011.]) for initial automatic model building, followed by iterative model building and refinement using COOT (Emsley & Cowtan, 2004[Emsley, P. & Cowtan, K. (2004). Acta Cryst. D60, 2126-2132.]) and REFMAC5 (Murshudov et al., 2011[Murshudov, G. N., Skubák, P., Lebedev, A. A., Pannu, N. S., Steiner, R. A., Nicholls, R. A., Winn, M. D., Long, F. & Vagin, A. A. (2011). Acta Cryst. D67, 355-367.]), respectively. Bijvoet-difference Fourier maps and peak heights were calculated using ANODE (Thorn & Sheldrick, 2011[Thorn, A. & Sheldrick, G. M. (2011). J. Appl. Cryst. 44, 1285-1287.]). The f″ values for anomalous scatterers were obtained through the frefinement (Liu et al., 2013[Liu, Q., Liu, Q. & Hendrickson, W. A. (2013). Acta Cryst. D69, 1314-1332.]) using phenix.refine (Afonine et al., 2012[Afonine, P. V., Grosse-Kunstleve, R. W., Echols, N., Headd, J. J., Moriarty, N. W., Mustyakimov, M., Terwilliger, T. C., Urzhumtsev, A., Zwart, P. H. & Adams, P. D. (2012). Acta Cryst. D68, 352-367.]). We changed the occupancy of non-sulfur anomalous scatterers from 1 to 0.1 in 0.1 intervals and refined individual B-factor and f″ values. The refined f″ value of an anomalous scatterer is selected for an occupancy that has a B-factor value close to its neighboring atom(s). The mapCC between refined TehA or thaumatin and SAD-phased maps after density modification was calculated by model-map correlation in Phenix (Adams et al., 2004[Adams, P. D., Gopal, K., Grosse-Kunstleve, R. W., Hung, L.-W., Ioerger, T. R., McCoy, A. J., Moriarty, N. W., Pai, R. K., Read, R. J., Romo, T. D., Sacchettini, J. C., Sauter, N. K., Storoni, L. C. & Terwilliger, T. C. (2004). J. Synchrotron Rad. 11, 53-55.]).

3. Results

3.1. Diffraction data with a helium path at 5 keV

We developed a helium path for native-SAD phasing [Fig. 1[link](a)]. With a helium environment, we expected that the signal-to-noise ratio would be higher under helium than air. To examine the benefit in terms of signal-to-noise using this setup, we collected diffraction images from thaumatin and TehA crystals of the same size under helium and air environments. CC1/2 values under air and helium were very similar for each crystal [Figs. S1[link](a) and S1(b)], indicating that these datasets were valid for comparison. We found that the signal-to-noise ratio [〈I/σ(I)〉] under helium was higher than under air against any resolution in both cases [Figs. 1[link](b) and 1(c)]. Because we scaled the helium data with the air data as a reference, the increased 〈I/σ(I)〉 can be attributed to reduced X-ray absorption and decreased background noise, thus confirming that our helium setup reduced background scattering at 5 keV.

3.2. Native-SAD phasing of thaumatin

We first tested native-SAD phasing of thaumatin, which has been accomplished previously (Kim et al., 2007[Kim, C. U., Hao, Q. & Gruner, S. M. (2007). Acta Cryst. D63, 653-659.]; Nass et al., 2016[Nass, K., Meinhart, A., Barends, T. R. M., Foucar, L., Gorel, A., Aquila, A., Botha, S., Doak, R. B., Koglin, J., Liang, M., Shoeman, R. L., Williams, G., Boutet, S. & Schlichting, I. (2016). IUCrJ, 3, 180-191.], 2020[Nass, K., Cheng, R., Vera, L., Mozzanica, A., Redford, S., Ozerov, D., Basu, S., James, D., Knopp, G., Cirelli, C., Martiel, I., Casadei, C., Weinert, T., Nogly, P., Skopintsev, P., Usov, I., Leonarski, F., Geng, T., Rappas, M., Doré, A. S., Cooke, R., Nasrollahi Shirazi, S., Dworkowski, F., Sharpe, M., Olieric, N., Bacellar, C., Bohinc, R., Steinmetz, M. O., Schertler, G., Abela, R., Patthey, L., Schmitt, B., Hennig, M., Standfuss, J., Wang, M. & Milne, C. J. (2020). IUCrJ, 7, 965-975.], 2021[Nass, K., Bacellar, C., Cirelli, C., Dworkowski, F., Gevorkov, Y., James, D., Johnson, P. J. M., Kekilli, D., Knopp, G., Martiel, I., Ozerov, D., Tolstikova, A., Vera, L., Weinert, T., Yefanov, O., Standfuss, J., Reiche, S. & Milne, C. J. (2021). IUCrJ, 8, 905-920.]; Wagner et al., 2016[Wagner, A., Duman, R., Henderson, K. & Mykhaylyk, V. (2016). Acta Cryst. D72, 430-439.]; Aurelius et al., 2017[Aurelius, O., Duman, R., El Omari, K., Mykhaylyk, V. & Wagner, A. (2017). Nucl. Instrum. Methods Phys. Res. B, 411, 12-16.]; Leonarski et al., 2018[Leonarski, F., Redford, S., Mozzanica, A., Lopez-Cuenca, C., Panepucci, E., Nass, K., Ozerov, D., Vera, L., Olieric, V., Buntschu, D., Schneider, R., Tinti, G., Froejdh, E., Diederichs, K., Bunk, O., Schmitt, B. & Wang, M. (2018). Nat. Methods, 15, 799-804.]). Thaumatin consists of 207 residues, including 1 me­thio­nine and 16 cysteines forming 8 di­sulfide bridges. The calculated Bijvoet difference ratio (Hendrickson & Teeter, 1981[Hendrickson, W. A. & Teeter, M. M. (1981). Nature, 290, 107-113.]) is 2.8% at 5 keV. We collected a total of 17 datasets with the helium path, each from a single crystal. Individually, none of them showed significant anomalous signals. To enhance anomalous signals from sulfur we performed crystal assembly and rejection using PyMDA (Takemaru et al., 2020[Takemaru, L., Guo, G., Zhu, P., Hendrickson, W. A., McSweeney, S. & Liu, Q. (2020). J. Appl. Cryst. 53, 277-281.]).

We chose a CC1/2 cutoff of 0.9 at 4 Å for each crystal to exclude radiation-damaged frames. We then analyzed unit-cell variations for all selected datasets. The thaumatin crystals showed similar unit-cell dimensions [Fig. S2(a)] indicating that all crystals are compatible for assembly. Therefore, we merged the 17 single-crystal datasets to enhance the anomalous signals.

To exclude outlier crystals in the assembled data, we performed crystal rejection one by one starting from the 17-crystal dataset. This step removes the statistically least compatible crystals (Guo et al., 2019[Guo, G., Zhu, P., Fuchs, M. R., Shi, W., Andi, B., Gao, Y., Hendrickson, W. A., McSweeney, S. & Liu, Q. (2019). IUCrJ, 6, 532-542.]). After each crystal rejection, we performed frame rejection at six ratios (Guo et al., 2019[Guo, G., Zhu, P., Fuchs, M. R., Shi, W., Andi, B., Gao, Y., Hendrickson, W. A., McSweeney, S. & Liu, Q. (2019). IUCrJ, 6, 532-542.]). Fig. 2[link] shows statistics values of each dataset after crystal rejection as well as frame rejection reported by AIMLESS. The overall CC1/2 values of no-frame rejection are beyond 0.95, indicating that initial frame rejection in the single-crystal stage was effective in removing radiation-damaged frames. Stricter frame rejection, for example at a level of 50% decay (see the definition of decay in the Methods[link]), showed reduced CC1/2 [Fig. 2[link](a)] and increased Rsplit values [Fig. 2[link](b)]. The anomalous signals increased significantly as the number of assembled crystals increased [Fig. 2[link](c)] up to 15, but reduced significantly for over 15 crystals, indicating that two statistical outlier crystals deteriorated the overall data quality. Taken together, our assembly and rejection strategies are highly effective for enhancing anomalous signals.

[Figure 2]
Figure 2
Data analysis of assembled datasets of thaumatin. Frame rejection was performed for each assembled dataset to different extents as described in the Methods: ∞, no frame rejection and 500–50%, where 50% is the most stringent rejection. (a) CC1/2 at 4 Å dmin. (b) Rsplit at 4 Å dmin. (c) Anomalous correlation coefficient (ACC) at 5 Å dmin. ACC is reported as `DelAnom correlation between half-sets' in the AIMLESS log file.

We performed native-SAD phasing for the 15-crystal dataset. With an Emin cutoff at 1.3 and resolution cutoff at 3.9 Å, we obtained a substructure solution including 9 sulfur peaks from as few as 80 SHELXD trials with the highest CCall and CCweak of 48.6 and 28.7%, respectively [Fig. 3[link](a)]. This substructure was used for SAD phasing using PHASER. After density modification using PARROT, the electron density map is of high quality at 2.6 Å resolution for model building [Fig. 3[link](b)]. BUCCANEER was able to build 206 out of 207 residues automatically. The refined structure has an R/Rfree of 0.19/0.23 (Table 1[link]), indicating high quality [Fig. 3[link](c)]. The Bijvoet-difference Fourier peaks clearly identified all sulfur peaks beyond 4.0σ [Fig. 3[link](d)]. In summary, we successfully solved the thaumatin structure at 5 keV from 15 microcrystals using the helium path.

Table 1
Data collection and refinement statistics

  Thaumatin TehA
Data collection    
Beamline FMX (NSLS-II) FMX (NSLS-II)
Wavelength (Å) 2.48 2.48
Space group P41212 R3
a, c (Å) 57.6, 150.2 95.4, 136.1
Solvent content (%) 56.3 63.6
Bragg spacings (Å) 39.3–2.5 (2.53–2.5) 39.5–2.6 (2.7–2.6)
Total reflections 1696197 (557) 1550748 (43309)
Bijvoet unique reflections 16225 (372) 14153 (1719)
Completeness (%) 100.0 (100.0) 99.8 (98.3)
I/σ(I)〉 20.0 (0.9) 24.4 (3.5)
Rsplit 0.061 (1.79) 0.041 (0.48)
Multiplicity 183.6 (3.0) 109.6 (25.2)
CC1/2 0.979 (0.065) 0.995 (0.482)
Refinement
Resolution (Å) 2.6 2.6
No. of reflections 16153 (1109) 14132 (1352)
Rwork/Rfree 0.185/0.234 0.170/0.217
No. of atoms 1668 2580
Wilson B factor (Å2) 24.7 35.19
Average B factor (Å2) 25 34
R.m.s. deviations
Bond length (Å) 0.005 0.008
Bond angle (°) 0.795 0.83
PDB code 8ena 8en9
†The numbers of unique reflections with Bijvoet pairs separated are given in parentheses. Elsewhere in the table, values in parentheses are for the highest resolution range.
[Figure 3]
Figure 3
Structure determination and phasing of thaumatin. (a) CCall/CCweak of SHELXD trials. (b) Experimental electron density after density modification. (c) Refined electron-density map. (d) Bijvoet-difference Fourier peaks. Peaks for anomalous scatters are shown as magenta isomeshes contoured at 4σ. The numbers indicate the positions of sulfur atoms of anomalous scatters in the structure: 1, C149–C158; 2, C159–C164; 3, C9–C204; 4, C121–C193; 5, C134–C145; 6, C56–C66; 7, C126–C177; 8, M122; 9, C71–C77. The overall structure model of thaumatin from native-SAD is shown as ribbons.

3.3. Native-SAD phasing of TehA

TehA consists of 314 residues, including 1 cysteine and 10 me­thio­nines. The calculated Bijvoet difference ratio is 1.8% at 5 keV. We applied the developed native-SAD strategy based on the approach described for thaumatin for solving a challenging case of a membrane protein TehA. We collected 23 datasets, each from a single TehA microcrystal. After rejection of radiation-damaged frames, 24 480 out of 41 400 frames were selected for data assembly in PyMDA. TehA crystals can be classified into two groups [Fig. S2[link](b), named uc1 and uc2], but we could not obtain enough anomalous signals for phasing from assembled data in either uc1 or uc2. We then combined uc1 and uc2 and merged 23 datasets to further enhance anomalous signals through increased multiplicity. To remove statistically incompatible crystals, we performed crystal rejection. After rejection of 5 crystals out of 23, the 18-crystal dataset showed excellent CC1/2 and Rsplit values, indicating high data quality [Figs. 4[link](a) and 4(b)]. The 18-crystal dataset also has the highest anomalous signals [Fig. 4[link](c)]. Because we had already rejected radiation-damaged frames during the single-crystal frame selection, the dataset from the 18 crystals was scaled and merged without the need for further frame rejection [Fig. 4[link](c)].

[Figure 4]
Figure 4
Data analysis of assembled TehA data. Frame rejection was performed for each assembled dataset to different extents as described in the Methods: ∞, no frame rejection and 500–50% where 50% is the most stringent rejection. (a) CC1/2 at 4 Å dmin. (b) Rsplit at 4 Å dmin. (c) ACC at 5 Å dmin. ACC is reported as `DelAnom correlation between half-sets' in the AIMLESS log file.

Using the 18-crystal dataset, we searched for a substructure using SHELXD. We obtained promising solutions from extensive optimization of SHELXD parameters of high-resolution cutoff, minimum normalized E values (Emin) and number of substructures. The SHELXD parameters used for finding a solution are a high-resolution cutoff of 3.2, Emin = 1.7 and 5 anomalous scatterers. We obtained a substructure solution with the highest CCall and CCweak of 35.4 and 25.8%, respectively [Fig. 5[link](a)]. This substructure was used for SAD phasing using PHASER. After density modification by PARROT, we obtained an electron-density map with sufficient quality for model building [Fig. 5[link](b)]. BUCCANEER was able to build 300 out of 314 residues automatically. The refined structure has an R/Rfree of 0.17/0.22, indicating high map quality [Fig. 5[link](c)]. In the Bijvoet-difference Fourier map, we found 8 sulfur peaks [Fig. 5[link](d), peaks 1–8] as well as unknown peaks [Fig. 5[link](d), peaks 9–11]. With TehA as an example, we suggest that low-energy native-SAD phasing using a helium path could be used more routinely for solving challenging membrane protein structures.

[Figure 5]
Figure 5
Structure determination for TehA. (a) CCall/CCweak of SHELXD trials. (b) Experimental electron density after density modification. (c) Refined electron-density map. (d) Bijvoet-difference Fourier peaks. Peaks for anomalous scatters are shown as magenta isomeshes contoured at 4σ. The numbers indicate the positions of anomalous scatters in the structure: 1–9, sulfur from protein; 1, M91; 2, Cys211; 3, M174; 4, M267; 5, M201; 6, M294; 7, M58; 8, M301. Peaks 9–11 are not from protein sulfur atoms. The overall structure model of the TehA protomer from native-SAD is shown as ribbons.

4. Discussion

4.1. Radiation damage

In this work we used a helium path to increase signal relative to noise for low-energy X-ray diffraction. Due to radiation damage, we rejected about half of the frames collected to enhance anomalous signals for native-SAD phasing. A previous study showed that the frame-rejection step in PyMDA further enhanced the anomalous signals (Guo et al., 2019[Guo, G., Zhu, P., Fuchs, M. R., Shi, W., Andi, B., Gao, Y., Hendrickson, W. A., McSweeney, S. & Liu, Q. (2019). IUCrJ, 6, 532-542.]), but we did not observe such enhancement here (Figs. 2[link] and 4[link]). To investigate this, we examined the impact of frame rejection at different extents on the best assembled datasets for thaumatin [Figs. 6[link](a) and 6(b)] and TehA [Figs. 6[link](c) and 6(d)]. In both cases, we found that anomalous signals as well as individual Bijvoet difference peak heights were dramatically reduced as the extent of frame rejection (e.g. decay parameter) increased. Since radiation-damaged frames were already rejected in our initial single-crystal frame rejection step, as expected the subsequent frame rejection in PyMDA did not improve the assembled data quality.

[Figure 6]
Figure 6
Analysis of assembled 15-crystal thaumatin data and 18-crystal TehA data. (a) Plot of d″/sig with respect to dmin. SHELXC was used for calculation of the anomalous signal from 15 assembled thaumatin crystals with and without frame rejection. (b) Plot of the 19 highest Bijvoet-difference Fourier peaks of thaumatin. Total frames, 18900; rejected frame numbers: 500%, 425; 200%, 7388; 150%, 9152; 100%, 11370; 50%, 14796. (c) Plot of d″/sig with respect to dmin. SHELXC was used for the calculation of anomalous signals from 18 assembled TehA crystals with and without frame rejection. (d) Plot of the 20 highest Bijvoet-difference Fourier peaks of TehA. Total frames, 24480; rejected frame numbers: 500%, 285; 200%, 2538; 150%, 4897; 100%, 9424; 50%, 15338.

4.2. Multi-crystal data assembly and anomalous signals

Both the thaumatin and TehA structures were determined using native-SAD with data combined from microcrystals. We collected complete datasets for each crystal. As shown in Tables S1 and S2 of the supporting information, each single-crystal dataset is more than 90% complete with a multiplicity ranging from 2.4 to 22.7 for thaumatin and 3 to 10.3 for TehA. However, we did not observe apparent anomalous signals at the single-crystal level. This is probably not surprising as even at a low-energy of 5 keV with a helium environment, diffraction data from a 20 µm crystal were not sufficient for native-SAD phasing. To enhance f″ of sulfur, Aurelius et al. (2017[Aurelius, O., Duman, R., El Omari, K., Mykhaylyk, V. & Wagner, A. (2017). Nucl. Instrum. Methods Phys. Res. B, 411, 12-16.]) used a near sulfur K-edge at 2.5 keV for native-SAD phasing of thaumatin. However, the large Bragg angles at this energy only allowed collection of diffraction data at 3.2 Å resolution using a flat detector (Aurelius et al., 2017[Aurelius, O., Duman, R., El Omari, K., Mykhaylyk, V. & Wagner, A. (2017). Nucl. Instrum. Methods Phys. Res. B, 411, 12-16.]), and a large, curved detector is required to collect such high-angle diffraction spots (Wagner et al., 2016[Wagner, A., Duman, R., Henderson, K. & Mykhaylyk, V. (2016). Acta Cryst. D72, 430-439.]). Here, we took our established strategy to enhance sulfur f″ by multi-crystal assembly and rejection (Liu et al., 2012[Liu, Q., Dahmane, T., Zhang, Z., Assur, Z., Brasch, J., Shapiro, L., Mancia, F. & Hendrickson, W. A. (2012). Science, 336, 1033-1037.]). For this method, it is essential to select compatible crystals for assembly. Our unit-cell variation analysis revealed that all crystals of thaumatin are compatible with each other [Fig. S2[link](a)]. As a comparison, TehA crystals can be classified into two groups [Fig. S2[link](b)]. The biggest differences are no more than 2 Å in each dimension (Table S2). Data assembled from each group were not sufficient for native-SAD phasing. For native-SAD phasing, the low-resolution anomalous signals are more important and are less affected by crystal non-isomorphism, so we combined the two groups. We could then obtain high-quality data after rejection of five outlier crystals, suggesting that our crystal-rejection step can effectively remove incompatible crystals spreading in two groups [Fig. S2(b)]. The anomalous signals increased as the number of compatible crystals increased, and a total of 18 TehA crystals were sufficient for native-SAD phasing.

We also evaluated the strength of anomalous signals after frefinement (Liu et al., 2013[Liu, Q., Liu, Q. & Hendrickson, W. A. (2013). Acta Cryst. D69, 1314-1332.]). For thaumatin, the highest f″ value was 1.40 e for Cys9 and Cys204, and the lowest f″ was 0.91 e for Cys126 and Cys177, with an average of 1.23 e. The average value was close to the theoretical f″ value 1.31 for sulfur, indicating that the majority of the anomalous signals (94%) were preserved at 5 keV with a helium path. For TehA, the highest f″ value of sulfur was 1.66 e for Met174, and the lowest f″ was 0.80 e for Met201, with an average of 1.05 e. We did not find Bijvoet-difference Fourier peaks for Met1 and Met39. The two residues are on the protein surface and their side chains are poorly ordered.

4.3. Anomalous scatterers

In low-energy native-SAD phasing, non-sulfur/phospho­rus anomalous scatterers may be found at a position previously identified as water or a light element (Basu, Finke et al., 2019[Basu, S., Finke, A., Vera, L., Wang, M. & Olieric, V. (2019). Acta Cryst. D75, 262-271.]). These unknown anomalous scatterers can provide extra information that is not available in conventional crystallographic structure refinement. In this work, we found three unknown Bijvoet-difference Fourier peaks in TehA that were not sulfur [Fig. 6[link](d), peaks 9–11]. Our crystallization conditions (reservoir and protein solution) include Na+, Cl, Zn2+, P and SO42−. We assume that these unknown peaks may come from the anomalous scatterers. To identify the three anomalous scatterers, we performed frefinement using phenix.refine (Liu et al., 2013[Liu, Q., Liu, Q. & Hendrickson, W. A. (2013). Acta Cryst. D69, 1314-1332.]). We found approximate f″ values were 1.66 for peak 9, 1.67 for peak 10 and 0.63 for peak 11. The f″ values of peaks 9 and 10 were very close to the calculated f″ values of Cl and Zn2+ at 5 keV. The anomalous peaks 9 and 10 are coordinated by a nearby nitro­gen atom of the main chain or a Lys residue within a 3.2 Å distance [Figs. 7[link](a) and 7(b)], revealing that the two peaks should come from Cl but not Zn2+. Peak 11 is not coordinated by any protein atom but seems to be hydrated by water molecules [Fig. 7[link](c)] and has an f″ value close to the calculated value of Na+ at 5 keV, suggesting that peak 11 could be Na+.

[Figure 7]
Figure 7
Electron densities for three non-sulfur anomalous scatterers in TehA. 2FoFc electron densities are shown as gray isomeshes at 1.5σ; and Bijvoet-difference Fourier peaks are shown as purple isomeshes at 4.0σ. The refined TehA model is shown as sticks. (a) Peak 9. (b) Peak 10. (c) Peak 11.

TehA is an uncharacterized candidate for an ion channel as it is a bacterial homolog of the plant nitrate/chloride channel SLAC1 (Deng et al., 2021[Deng, Y. N., Kashtoh, H., Wang, Q., Zhen, G. X., Li, Q. Y., Tang, L. H., Gao, H. L., Zhang, C. R., Qin, L., Su, M., Li, F., Huang, X. H., Wang, Y. C., Xie, Q., Clarke, O. B., Hendrickson, W. A. & Chen, Y. H. (2021). Proc. Natl Acad. Sci. USA, 118, e2015151118.]). We did not observe any of the three anomalous peaks in previous structures using higher energy X-rays (Chen et al., 2010[Chen, Y. H., Hu, L., Punta, M., Bruni, R., Hillerich, B., Kloss, B., Rost, B., Love, J., Siegelbaum, S. A. & Hendrickson, W. A. (2010). Nature, 467, 1074-1080.]). Our present work used low-energy X-ray scattering at 5 keV which produced much higher anomalous scattering signals for Cl and Na+, leading to the identification of both ions bound to TehA. Interestingly, Na+ is located on the threefold axis of the TehA trimer, suggesting that Na+ may possibly be involved in TehA function. Our analyses thus provide additional information on the identification of potential ions that might modulate the function of TehA and its homologs.

5. Concluding remarks

Native-SAD phasing using <6 keV X-rays is challenging because of substantial background scattering and absorption issues. Here we used a helium path to enhance weak anomalous signals at 5 keV from microcrystals at the NSLS-II FMX beamline. We demonstrated that de novo structure determination of a membrane protein by native-SAD phasing from as few as 18 micrometre-sized crystals is feasible using a helium-path environment at 5 keV. The combination of helium-path data collection with a multi-crystal data processing strategy including iterative assembly and rejection, dramatically reduces the number of crystals required, and thereby greatly increases the viability of native-SAD phasing for solving challenging membrane protein structures. With TehA as an example, we suggest that low-energy native-SAD phasing using a helium path could be used more routinely for solving challenging membrane protein structures.

Atomic coordinates and structure factor files have been deposited in the RCSB Protein Data Bank (PDB) under the accession codes 8ena for thaumatin and 8en9 for TehA.

Supporting information


Footnotes

These authors contributed equally to this study.

Acknowledgements

We would like to thank Stephen Antonelli, Thomas Langdon and John Lara for their help in CAD-design and construction of the helium chamber.

Funding information

This work was supported in part by the National Institutes of Health (NIH), National Institute of General Medical Sciences (NIGMS) (grant nos. GM107462 and P41GM116799). The FMX beamline is part of the Center for BioMolecular Structure (CBMS) which is primarily supported by the NIH, NIGMS through a Center Core P30 grant (grant no. P30GM133893), and by the US Department of Energy (DOE), Office of Biological and Environmental Research (contract no. KP1607011). NSLS-II is supported in part by the US DOE, Office of Science, Office of Basic Energy Sciences Program (contract nos. DE-SC0012704; KC0401040).

References

First citationAdams, P. D., Gopal, K., Grosse-Kunstleve, R. W., Hung, L.-W., Ioerger, T. R., McCoy, A. J., Moriarty, N. W., Pai, R. K., Read, R. J., Romo, T. D., Sacchettini, J. C., Sauter, N. K., Storoni, L. C. & Terwilliger, T. C. (2004). J. Synchrotron Rad. 11, 53–55.  Web of Science CrossRef CAS IUCr Journals Google Scholar
First citationAfonine, P. V., Grosse-Kunstleve, R. W., Echols, N., Headd, J. J., Moriarty, N. W., Mustyakimov, M., Terwilliger, T. C., Urzhumtsev, A., Zwart, P. H. & Adams, P. D. (2012). Acta Cryst. D68, 352–367.  Web of Science CrossRef CAS IUCr Journals Google Scholar
First citationAurelius, O., Duman, R., El Omari, K., Mykhaylyk, V. & Wagner, A. (2017). Nucl. Instrum. Methods Phys. Res. B, 411, 12–16.  Web of Science CrossRef CAS PubMed Google Scholar
First citationBaek, M., DiMaio, F., Anishchenko, I., Dauparas, J., Ovchinnikov, S., Lee, G. R., Wang, J., Cong, Q., Kinch, L. N., Schaeffer, R. D., Millán, C., Park, H., Adams, C., Glassman, C. R., DeGiovanni, A., Pereira, J. H., Rodrigues, A. V., van Dijk, A. A., Ebrecht, A. C., Opperman, D. J., Sagmeister, T., Buhlheller, C., Pavkov-Keller, T., Rathinaswamy, M. K., Dalwadi, U., Yip, C. K., Burke, J. E., Garcia, K. C., Grishin, N. V., Adams, P. D., Read, R. J. & Baker, D. (2021). Science, 373, 871–876.  Web of Science CrossRef CAS PubMed Google Scholar
First citationBasu, S., Finke, A., Vera, L., Wang, M. & Olieric, V. (2019). Acta Cryst. D75, 262–271.  Web of Science CrossRef IUCr Journals Google Scholar
First citationBasu, S., Olieric, V., Leonarski, F., Matsugaki, N., Kawano, Y., Takashi, T., Huang, C.-Y., Yamada, Y., Vera, L., Olieric, N., Basquin, J., Wojdyla, J. A., Bunk, O., Diederichs, K., Yamamoto, M. & Wang, M. (2019). IUCrJ, 6, 373–386.  Web of Science CrossRef CAS PubMed IUCr Journals Google Scholar
First citationChen, L. Q., Rose, J. P., Breslow, E., Yang, D., Chang, W. R., Furey, W. F. Jr, Sax, M. & Wang, B. C. (1991). Proc. Natl Acad. Sci. USA, 88, 4240–4244.  CrossRef CAS PubMed Web of Science Google Scholar
First citationChen, Y. H., Hu, L., Punta, M., Bruni, R., Hillerich, B., Kloss, B., Rost, B., Love, J., Siegelbaum, S. A. & Hendrickson, W. A. (2010). Nature, 467, 1074–1080.  CrossRef CAS PubMed Google Scholar
First citationCowtan, K. (2006). Acta Cryst. D62, 1002–1011.  Web of Science CrossRef CAS IUCr Journals Google Scholar
First citationCowtan, K. (2010). Acta Cryst. D66, 470–478.  Web of Science CrossRef CAS IUCr Journals Google Scholar
First citationCowtan, K. D. & Main, P. (1993). Acta Cryst. D49, 148–157.  CrossRef CAS Web of Science IUCr Journals Google Scholar
First citationDeng, Y. N., Kashtoh, H., Wang, Q., Zhen, G. X., Li, Q. Y., Tang, L. H., Gao, H. L., Zhang, C. R., Qin, L., Su, M., Li, F., Huang, X. H., Wang, Y. C., Xie, Q., Clarke, O. B., Hendrickson, W. A. & Chen, Y. H. (2021). Proc. Natl Acad. Sci. USA, 118, e2015151118.  CrossRef PubMed Google Scholar
First citationEmsley, P. & Cowtan, K. (2004). Acta Cryst. D60, 2126–2132.  Web of Science CrossRef CAS IUCr Journals Google Scholar
First citationEvans, P. R. (2011). Acta Cryst. D67, 282–292.  Web of Science CrossRef CAS IUCr Journals Google Scholar
First citationEvans, P. R. & Murshudov, G. N. (2013). Acta Cryst. D69, 1204–1214.  Web of Science CrossRef CAS IUCr Journals Google Scholar
First citationGuo, G., Fuchs, M. R., Shi, W., Skinner, J., Berman, E., Ogata, C. M., Hendrickson, W. A., McSweeney, S. & Liu, Q. (2018). IUCrJ, 5, 238–246.  Web of Science CrossRef CAS PubMed IUCr Journals Google Scholar
First citationGuo, G., Zhu, P., Fuchs, M. R., Shi, W., Andi, B., Gao, Y., Hendrickson, W. A., McSweeney, S. & Liu, Q. (2019). IUCrJ, 6, 532–542.  Web of Science CrossRef CAS PubMed IUCr Journals Google Scholar
First citationHendrickson, W. A. (2014). Q. Rev. Biophys. 47, 49–93.  Web of Science CrossRef PubMed Google Scholar
First citationHendrickson, W. A. & Teeter, M. M. (1981). Nature, 290, 107–113.  CrossRef CAS PubMed Web of Science Google Scholar
First citationHuang, C. Y., Olieric, V., Howe, N., Warshamanage, R., Weinert, T., Panepucci, E., Vogeley, L., Basu, S., Diederichs, K., Caffrey, M. & Wang, M. (2018). Commun. Biol. 1, 124.  Web of Science CrossRef PubMed Google Scholar
First citationJin, S., Miller, M. D., Chen, M., Schafer, N. P., Lin, X., Chen, X., Phillips, G. N. & Wolynes, P. G. (2020). IUCrJ, 7, 1168–1178.  Web of Science CrossRef CAS PubMed IUCr Journals Google Scholar
First citationJumper, J., Evans, R., Pritzel, A., Green, T., Figurnov, M., Ronneberger, O., Tunyasuvunakool, K., Bates, R., Žídek, A., Potapenko, A., Bridgland, A., Meyer, C., Kohl, S. A. A., Ballard, A. J., Cowie, A., Romera-Paredes, B., Nikolov, S., Jain, R., Adler, J., Back, T., Petersen, S., Reiman, D., Clancy, E., Zielinski, M., Steinegger, M., Pacholska, M., Berghammer, T., Bodenstein, S., Silver, D., Vinyals, O., Senior, A. W., Kavukcuoglu, K., Kohli, P. & Hassabis, D. (2021). Nature, 596, 583–589.  Web of Science CrossRef CAS PubMed Google Scholar
First citationKim, C. U., Hao, Q. & Gruner, S. M. (2007). Acta Cryst. D63, 653–659.  Web of Science CrossRef IUCr Journals Google Scholar
First citationKleywegt, G. J. (2000). Acta Cryst. D56, 249–265.  Web of Science CrossRef CAS IUCr Journals Google Scholar
First citationLeonarski, F., Redford, S., Mozzanica, A., Lopez-Cuenca, C., Panepucci, E., Nass, K., Ozerov, D., Vera, L., Olieric, V., Buntschu, D., Schneider, R., Tinti, G., Froejdh, E., Diederichs, K., Bunk, O., Schmitt, B. & Wang, M. (2018). Nat. Methods, 15, 799–804.  Web of Science CrossRef CAS PubMed Google Scholar
First citationLiebschner, D., Yamada, Y., Matsugaki, N., Senda, M. & Senda, T. (2016). Acta Cryst. D72, 728–741.  Web of Science CrossRef IUCr Journals Google Scholar
First citationLiu, Q., Dahmane, T., Zhang, Z., Assur, Z., Brasch, J., Shapiro, L., Mancia, F. & Hendrickson, W. A. (2012). Science, 336, 1033–1037.  Web of Science CrossRef CAS PubMed Google Scholar
First citationLiu, Q. & Hendrickson, W. A. (2017). Methods Mol. Biol. 1607, 377–399.  CrossRef CAS PubMed Google Scholar
First citationLiu, Q., Liu, Q. & Hendrickson, W. A. (2013). Acta Cryst. D69, 1314–1332.  Web of Science CrossRef CAS IUCr Journals Google Scholar
First citationMueller-Dieckmann, C., Panjikar, S., Tucker, P. A. & Weiss, M. S. (2005). Acta Cryst. D61, 1263–1272.  Web of Science CrossRef CAS IUCr Journals Google Scholar
First citationMurshudov, G. N., Skubák, P., Lebedev, A. A., Pannu, N. S., Steiner, R. A., Nicholls, R. A., Winn, M. D., Long, F. & Vagin, A. A. (2011). Acta Cryst. D67, 355–367.  Web of Science CrossRef CAS IUCr Journals Google Scholar
First citationNass, K., Bacellar, C., Cirelli, C., Dworkowski, F., Gevorkov, Y., James, D., Johnson, P. J. M., Kekilli, D., Knopp, G., Martiel, I., Ozerov, D., Tolstikova, A., Vera, L., Weinert, T., Yefanov, O., Standfuss, J., Reiche, S. & Milne, C. J. (2021). IUCrJ, 8, 905–920.  Web of Science CrossRef CAS PubMed IUCr Journals Google Scholar
First citationNass, K., Cheng, R., Vera, L., Mozzanica, A., Redford, S., Ozerov, D., Basu, S., James, D., Knopp, G., Cirelli, C., Martiel, I., Casadei, C., Weinert, T., Nogly, P., Skopintsev, P., Usov, I., Leonarski, F., Geng, T., Rappas, M., Doré, A. S., Cooke, R., Nasrollahi Shirazi, S., Dworkowski, F., Sharpe, M., Olieric, N., Bacellar, C., Bohinc, R., Steinmetz, M. O., Schertler, G., Abela, R., Patthey, L., Schmitt, B., Hennig, M., Standfuss, J., Wang, M. & Milne, C. J. (2020). IUCrJ, 7, 965–975.  Web of Science CrossRef CAS PubMed IUCr Journals Google Scholar
First citationNass, K., Meinhart, A., Barends, T. R. M., Foucar, L., Gorel, A., Aquila, A., Botha, S., Doak, R. B., Koglin, J., Liang, M., Shoeman, R. L., Williams, G., Boutet, S. & Schlichting, I. (2016). IUCrJ, 3, 180–191.  Web of Science CrossRef CAS PubMed IUCr Journals Google Scholar
First citationPike, A. C. W., Garman, E. F., Krojer, T., von Delft, F. & Carpenter, E. P. (2016). Acta Cryst. D72, 303–318.  Web of Science CrossRef IUCr Journals Google Scholar
First citationPotterton, L., Agirre, J., Ballard, C., Cowtan, K., Dodson, E., Evans, P. R., Jenkins, H. T., Keegan, R., Krissinel, E., Stevenson, K., Lebedev, A., McNicholas, S. J., Nicholls, R. A., Noble, M., Pannu, N. S., Roth, C., Sheldrick, G., Skubak, P., Turkenburg, J., Uski, V., von Delft, F., Waterman, D., Wilson, K., Winn, M. & Wojdyr, M. (2018). Acta Cryst. D74, 68–84.  Web of Science CrossRef IUCr Journals Google Scholar
First citationRead, R. J. & McCoy, A. J. (2011). Acta Cryst. D67, 338–344.  Web of Science CrossRef CAS IUCr Journals Google Scholar
First citationRose, J. P., Wang, B.-C. & Weiss, M. S. (2015). IUCrJ, 2, 431–440.  Web of Science CrossRef CAS PubMed IUCr Journals Google Scholar
First citationSchneider, D. K., Shi, W., Andi, B., Jakoncic, J., Gao, Y., Bhogadi, D. K., Myers, S. F., Martins, B., Skinner, J. M., Aishima, J., Qian, K., Bernstein, H. J., Lazo, E. O., Langdon, T., Lara, J., Shea-McCarthy, G., Idir, M., Huang, L., Chubar, O., Sweet, R. M., Berman, L. E., McSweeney, S. & Fuchs, M. R. (2021). J. Synchrotron Rad. 28, 650–665.  Web of Science CrossRef CAS IUCr Journals Google Scholar
First citationSheldrick, G. M. (2010). Acta Cryst. D66, 479–485.  Web of Science CrossRef CAS IUCr Journals Google Scholar
First citationTakemaru, L., Guo, G., Zhu, P., Hendrickson, W. A., McSweeney, S. & Liu, Q. (2020). J. Appl. Cryst. 53, 277–281.  Web of Science CrossRef CAS IUCr Journals Google Scholar
First citationThorn, A. & Sheldrick, G. M. (2011). J. Appl. Cryst. 44, 1285–1287.  Web of Science CrossRef CAS IUCr Journals Google Scholar
First citationWagner, A., Duman, R., Henderson, K. & Mykhaylyk, V. (2016). Acta Cryst. D72, 430–439.  Web of Science CrossRef IUCr Journals Google Scholar
First citationWallin, E. & von Heijne, G. (1998). Protein Sci. 7, 1029–1038.  Web of Science CrossRef CAS PubMed Google Scholar
First citationWang, B. C. (1985). Methods Enzymol. 115, 90–112.  CrossRef CAS PubMed Google Scholar
First citationWaterman, D. G., Winter, G., Gildea, R. J., Parkhurst, J. M., Brewster, A. S., Sauter, N. K. & Evans, G. (2016). Acta Cryst. D72, 558–575.  Web of Science CrossRef IUCr Journals Google Scholar
First citationWeinert, T., Olieric, N., Cheng, R., Brünle, S., James, D., Ozerov, D., Gashi, D., Vera, L., Marsh, M., Jaeger, K., Dworkowski, F., Panepucci, E., Basu, S., Skopintsev, P., Doré, A. S., Geng, T., Cooke, R. M., Liang, M., Prota, A. E., Panneels, V., Nogly, P., Ermler, U., Schertler, G., Hennig, M., Steinmetz, M. O., Wang, M. & Standfuss, J. (2017). Nat. Commun. 8, 542.  Web of Science CrossRef PubMed Google Scholar
First citationWeinert, T., Olieric, V., Waltersperger, S., Panepucci, E., Chen, L., Zhang, H., Zhou, D., Rose, J., Ebihara, A., Kuramitsu, S., Li, D., Howe, N., Schnapp, G., Pautsch, A., Bargsten, K., Prota, A. E., Surana, P., Kottur, J., Nair, D. T., Basilico, F., Cecatiello, V., Pasqualato, S., Boland, A., Weichenrieder, O., Wang, B. C., Steinmetz, M. O., Caffrey, M. & Wang, M. (2015). Nat. Methods, 12, 131–133.  Web of Science CrossRef CAS PubMed Google Scholar
First citationWinter, G., Waterman, D. G., Parkhurst, J. M., Brewster, A. S., Gildea, R. J., Gerstel, M., Fuentes-Montero, L., Vollmar, M., Michels-Clark, T., Young, I. D., Sauter, N. K. & Evans, G. (2018). Acta Cryst. D74, 85–97.  Web of Science CrossRef IUCr Journals Google Scholar

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IUCrJ
Volume 9| Part 6| November 2022| Pages 768-777
ISSN: 2052-2525