research papers
Guest-protein incorporation into solvent channels of a protein host crystal (hostal)
aDepartment of Chemistry, University of Copenhagen, DK-2100 Copenhagen, Denmark, bCenter for Molecular Protein Science, Lund University, SE-221 00 Lund, Sweden, cDeutsches Elektronen-Synchrotron DESY, Notkestrasse 85, D-22607 Hamburg, Germany, dChemistry Department, Princeton University, Princeton, NJ 08544, USA, eDepartment of Plant and Environmental Sciences, University of Copenhagen, DK-1871 Frederiksberg, Denmark, fInstitute for Quantitative Biomedicine, Rutgers University, Piscataway, NJ 08854, USA, and gDepartment of Biology, Lund University, SE-221 00 Lund, Sweden
*Correspondence e-mail: janina.sprenger@cfel.de
Soaking small molecules into the solvent channels of protein crystals is the most common method of obtaining crystalline complexes with ligands such as substrates or inhibitors. The solvent channels of some protein crystals are large enough to allow the incorporation of macromolecules, but soaking of protein guests into protein crystals has not been reported. Such protein host crystals (here given the name hostals) incorporating guest proteins may be useful for a wide range of applications in biotechnology, for example as cargo systems or for diffraction studies analogous to the crystal sponge method. The present study takes advantage of crystals of the Escherichia coli tryptophan repressor protein (ds-TrpR) that are extensively domain-swapped and suitable for incorporating guest proteins by diffusion, as they are robust and have large solvent channels. Confocal fluorescence microscopy is used to follow the migration of cytochrome c and fluorophore-labeled calmodulin into the solvent channels of ds-TrpR crystals. The guest proteins become uniformly distributed in the crystal within weeks and enriched within the solvent channels. X-ray diffraction studies on host crystals with high concentrations of incorporated guests demonstrate that diffraction limits of ∼2.5 Å can still be achieved. Weak electron density is observed in the solvent channels, but the guest-protein structures could not be determined by conventional crystallographic methods. Additional approaches that increase the ordering of guests in the host crystal are discussed that may support protein using the hostal system in the future. This host system may also be useful for biotechnological applications where crystallographic order of the guest is not required.
Keywords: host–guest system; diffusion; mesopores; solvent channels; MOLEonline; protein volume fraction; encapsulation; hostals.
1. Introduction
Many areas of life science rely on structural information about proteins, for example to provide a basis for the design of experiments to elucidate biochemical processes in cells, to tailor industrial biocatalysts or to support computer-aided drug design (Shi, 2014; Blundell, 2017). The majority of high-resolution structures of proteins in the Protein Data Bank (PDB; https://www.rcsb.org/stats/summary) have been determined by X-ray crystallographic methods, and this continues to be the case despite recent advances in solution and solid-state NMR spectroscopy as well as cryo-electron microscopy. However, protein crystals that diffract X-rays are not always easy to obtain, partly because, unlike crystals of small molecules and compounds, they typically contain large amounts of solvent: between ∼25% and ∼75% of the total crystal volume (Matthews, 1968), with a mean of ∼50% (Weichenberger & Rupp, 2014). Solvent is present throughout protein crystals in a network of channels that can be organized as micropores or mesopores (Falkner et al., 2005). The continuity of solvent in the channels can be exploited by soaking crystals in solutions containing protein ligands, drug candidates or other compounds of interest (McNae et al., 2005). Such soaking experiments typically use molecules that are much smaller than the crystallized proteins. Many ligands reach their binding sites within seconds to minutes (Mizutani et al., 2014; Collins et al., 2017), but the binding-site occupancy may still increase after hours of soaking (Collins et al., 2017). To follow the soaking processes of ligands into crystals experimentally, X-ray diffraction data can be used to calculate ligand occupancies as a function of soaking time (Cole et al., 2017) for ligands that attain sufficient order to be structurally analyzed. Drug fragment-screening approaches have made use of soaking as a high-throughput method to introduce small-molecule ligands from chemical libraries into crystals of a protein drug target, with analysis by X-ray diffraction (Murray & Rees, 2009). Soaking of small fluorescent molecules into protein crystals can also be followed using confocal laser-scanning microscopy (CLSM), as described for lysozyme crystals (Cvetkovic et al., 2004, 2005), and is not limited to molecules that adopt crystallographic order.
Despite the enormous success of protein crystallography, obtaining crystals of a protein of interest is still a major bottleneck in protein ). The use of so-called crystallization chaperones, including antibodies and designed ankyrin-repeat proteins (DARPins), has resulted in several new crystal structures (Benvenuti & Mangani, 2007), but does not bypass the search for crystallization conditions. In the last decade, a soaking technique has been developed to allow X-ray diffraction-based of small-molecule guests in crystals of unrelated small-molecule hosts, which removes the need for crystallization of the guest. In this so-called crystal sponge method, guest molecules are incorporated via diffusion into the solvent channels of an existing host crystal, often a metal–organic framework, although metal-free porous crystals have also been used (Inokuma et al., 2013; Sanna et al., 2015; Hoshino et al., 2016). Optimization of this method (Hoshino et al., 2016) has allowed the of difficult cases, including guest compounds with axial or (Yoshioka et al., 2015), small flexible compounds (Ning et al., 2016) and modified metabolites (Rosenberger et al., 2020) or other guest compounds in aqueous solution (Poel et al., 2019). The narrow solvent channels of most organic and metal-organic frameworks limit this technique to small-molecule guests.
and can be very time- and resource-consuming, or even unsuccessful for some proteins (Giegé, 2017In parallel, various encapsulation systems for proteins have been explored for a wide range of applications. These include virus capsids (Minten et al., 2009), other protein cages (Azuma et al., 2016) and hydrogels (Shimanovich et al., 2015), as well as DNA origami networks that were adapted to incorporate guest using specific peptide–DNA interactions (Sprengel et al., 2017). Applications include slow-release delivery systems, mini-bioreactors, the expression of toxic proteins and structural analysis. A crystal-based system for protein encapsulation has been reported (Fujita et al., 2012) that uses a self-assembling metal–organic host designed to encapsulate the small protein ubiquitin covalently bound to building blocks that form a crystalline cage containing the attached protein guest. Even though this system is based on a host that forms crystals, only limited structural information could be recovered from X-ray diffraction data using the maximum-entropy method (Fujita et al., 2012).
The present investigation aims to build on this body of work to develop a system that incorporates small to medium-sized proteins by soaking into a protein host crystal (hostal; Fig. 1). The work reported here explores the first step required for future applications, the incorporation of guest proteins into host protein crystals, and is to our knowledge the first example of the successful soaking of proteins into existing protein crystals. Crystalline tryptophan repressor protein from Escherichia coli (TrpR; Lawson et al., 2004; Fig. 2a) in an extended domain-swapped network represents a host with favorable properties, as described in this work. Horse heart cytochrome c (CytC; 12 kDa) and fluorophore-labeled human calmodulin (CaM; 17 kDa) are used as spectroscopically detectable guest proteins. Incorporation is monitored in time and space by conventional light microscopy and CLSM. This approach allowed the estimation of the of the guest protein CaM in the solvent channels as a function of soaking time, indicating that very high guest contents are achievable to meet a basic requirement for was used to compare the resolution of the TrpR crystals before and after soaking and to evaluate their applicability for guest-protein The results show that TrpR is a useful host system for guest-protein entrainment; however, structural information about the guest proteins could not be extracted using conventional crystallographic methods, and several ways are suggested in which the system could be further developed to reach this goal.
2. Materials and methods
2.1. Preparation of TrpR (Val58Ile) as a host crystal
A TrpR variant (Val58Ile) with properties very similar to the wild type in the domain-swapped TrpR (ds-TrpR) crystal form was used throughout this work (Sprenger et al., submitted). The expression and purification of TrpR (Val58Ile) are described in Supplementary Section S1.1. Crystallization was performed using the hanging-drop vapor-diffusion technique according to previously reported conditions, with a reservoir consisting of 27.5–35%(v/v) 2-propanol, 100 mM NaCl, 100 mM HEPES pH 7.5 (Lawson et al., 2004). Crystals grew within 1–2 days in drops consisting of 2–4 µl of a 1:1 mixture of TrpR (Val58Ile) solution and reservoir solution. This protein is referred to as TrpR or ds-TrpR throughout. TrpR lacks cysteine residues and is thus unreactive towards the maleimide dyes used in this work.
2.2. Guest-protein preparation (CaM and CytC)
The cloning, expression and purification of Ser17Cys CaM allowing site-specific fluorophore labeling (see Section 2.2.1) was performed as described in detail previously (O'Connell et al., 2010). Wild-type human CaM (UniProt ID P0DP23; molecular mass 16 828 Da) was cloned, expressed and purified as described previously (Waltersson et al., 1993; O'Connell et al., 2010). Cytochrome c from horse heart (CytC; molecular mass 12 384 Da) was purchased from Sigma–Aldrich in the form of a lyophilized powder with a purity of >99% according to the supplier's information.
2.2.1. Fluorophore labeling of Ser17Cys CaM
Ser17Cys human CaM was originally prepared (O'Connell et al., 2010) to enable the specific labeling of CaM at a site that is solvent-exposed in all known CaM target structures with fluorophores that couple to the unique cysteine using maleimide chemistry. Fluorophore labeling was performed essentially as described in O'Connell et al. (2010). Purified Ser17Cys CaM was dissolved in 10 mM phosphate, 150 mM NaCl, 5 mM DTT pH 8.0 at a protein concentration of ∼500 µM and incubated for 1 h at room temperature. DTT was removed by gel filtration in 10 mM phosphate, 150 mM NaCl pH 8.0. The collected protein was incubated for 2 h at room temperature with 1 mM Alexa Fluor 532 Maleimide or Texas Red C2 Maleimide followed by gel filtration twice in water to remove free dye. The labeled protein samples were then lyophilized.
2.3. Protein incorporation into the hostal by soaking
Prior to adding the guest protein for soaking, 2–4-day-old crystals with a largest dimension of 30–100 µm were first transferred into 2–3 µl drops containing only reservoir solution for 1–2 days. In the initial soaking trials, staining of the crystals was followed using a bright-field microscope. Solid CytC (as purchased in lyophilized form) or Texas Red-labeled CaM (lyophilized) were added with a spatula to the crystal drop until no more solid material dissolved during addition (see Supplementary Fig. S1).
2.3.1. Incorporation of CytC for imaging
For the imaging of CytC incorporation using CLSM, a CytC soaking solution (150 mg ml−1 CytC in 15.6% 2-propanol, 100 mM NaCl, 100 mM HEPES pH 7.5) was prepared by mixing a solution of 300 mg ml−1 CytC in 100 mM HEPES, 100 mM NaCl pH 7.5 with reservoir solution in a 1:1 ratio. 2–4 µl of this CytC soaking solution was applied as a droplet on a new cover glass, into which TrpR host crystals of 20–50 µm were transferred. The crystals in the soaking solution were placed as hanging drops over 500 µl reservoir solution to prevent evaporation. Crystals were transferred to microscope slide wells with the soaking solution (total volume of 4.5 µl) just prior to imaging.
2.3.2. Incorporation of Alexa532-CaM for imaging
For soaking studies with Alexa532-CaM, 30 µM of this protein in H2O was mixed in a 1:1 ratio with reservoir solution, resulting in a soaking solution consisting of 15 µM Alexa532-CaM, 15.6%(v/v) 2-propanol, 50 mM NaCl, 50 mM HEPES pH 7.5. To follow soaking for the initial 40 min, crystals grown in 3–4 µl hanging drops were transferred using a crystal loop into a microscope slide well containing 4.5 µl Alexa532-CaM soaking solution. To follow soaking for longer times (>1 day), the crystals were transferred into new drops containing the Alexa532-CaM soaking solution and were kept as hanging drops over 500 µl reservoir solution to prevent evaporation. The crystals were transferred to microscope slide wells with the soaking solution just prior to imaging.
For experiments with higher guest-protein concentrations and long soaking times (weeks), a protein stock solution of CaM (220 mg ml−1, i.e. 14 mM, CaM with 0.2% Alexa532-CaM in 10 mM Tris–HCl pH 7.5) was mixed in a 1:1 ratio with reservoir solution to give a final soaking solution concentration of 110 mg ml−1 CaM with 0.1% Alexa532-CaM in 5 mM Tris–HCl, 15.6% 2-propanol, 50 mM NaCl, 50 mM HEPES pH 7.5. TrpR crystals in 3–4 µl hanging drops were first transferred with a crystal loop into a new drop containing 3–4 µl of this solution and, after seven or 15 days of soaking, were subsequently transferred to a microscope slide with the soaking solution. For imaging in the initial phase of soaking, TrpR crystals were transferred from the hanging drop into a well containing 4.5 µl soaking solution consisting of 88 mg ml−1 (5.5 mM) CaM with 0.1% Alexa532-CaM and were visualized after 5 min of soaking.
2.4. CLSM monitoring of guest-protein incorporation
For CLSM imaging, TrpR host crystals or protein solutions were transferred into ten-well microscope slides with 30 µm depth (Thermo Fisher) and covered with a cover slip to avoid evaporation, thus allowing imaging over longer time periods of up to 15 days. Crystals were either transferred from the drop using 0.2–0.3 mm mesh LithoLoops (Molecular Dimensions) or by pipette (0.5–1 µl) into a well pre-filled with either reservoir solution (control) or the corresponding soaking solution (see Section 2.3) to match the condition of the drop used for soaking. After transfer of the soaked TrpR crystals from the hanging drop, each microscope slide well contained 5–50 crystals or crystal debris with size range 20–60 µm. To obtain a standard curve for estimation of the CaM guest-protein concentration in the host crystal (this curve was only used for quantification for soaks with low CaM concentration), solutions of 0.3–30 µM Alexa532-CaM, obtained from diluting 30 µM Alexa532-CaM (in H2O) with reservoir solution, were applied to the wells and measured with CLSM using the same settings as for the later imaging of host crystals soaked with low concentrations of CaM. The final volume in the wells was 4.5 µl. The slides were mounted on a Leica SP5-X MP CLSM (Leica Microsystems, Heidelberg, Germany) and images with 355 nm excitation were taken using a 40× water-immersion objective (Leica; HCX APO L U-V-I 40×, 0.80 W). For imaging with 405 nm excitation an inverted Leica SP5 CLSM (Leica Microsystems, Heidelberg, Germany) was used, as this wavelength was not available using the SP5-X MP. Emission was recorded in 10 nm intervals as λ scans between 380 and 770 nm and between 415 and 755 nm, respectively.
For Texas Red soaking, imaging was carried out with excitation at 594 nm and detection of fluorescence emission between 615 and 674 nm (Supplementary Section S2.1). Crystals soaked with Alexa532-CaM or 110 mg ml−1 CaM with 0.1% Alexa532-CaM were imaged using an excitation wavelength of 528 nm and emission at 550–598 nm and the same CLSM settings as for all crystal imaging experiments. All images for different crystals and those used for quantification were recorded using identical settings for gain, pinhole, zoom and laser intensity as for the reference solutions of Alexa532-CaM. Images were analyzed using ImageJ within the Fiji software package and Leica Application Suite X (LASX 3.3.0).
2.5. X-ray data collection, processing and molecular-replacement analysis
Diffraction data from guest-protein-soaked crystals were collected on the BioMAX beamline at MAX IV. TrpR host crystals (maximum size 50 µm) soaked for two weeks with 110 mg ml−1 CaM (with 0.1% Alexa532-CaM) or 150 mg ml−1 CytC (from the same drops as used for CLSM) were cryocooled with liquid N2 after additional soaking for <1 min with 25% ethylene glycol as a cryoprotectant, which was also added to the respective CaM or CytC soaking solution used for crystal soaking. In data sets from the protein-soaked crystals, 4000 frames were collected with 0.1° rotation and a detector distance set to a diffraction limit of 2.0 Å at 0.97 Å wavelength. Processing was performed with XDS (Kabsch, 2010) in space groups P1 and P6122, using unit-cell parameters from an initial XDS run. (MR) using MOLREP (Vagin & Teplyakov, 2010) was followed by in REFMAC5 (Murshudov et al., 2011) but the structures were not manually remodeled. Automated detecting of and twin was disabled in REFMAC5. Prior to the calculation of maps on an absolute scale of e− Å−3 (END maps; Lang et al., 2014), the data sets were subjected to additional with phenix.refine (Afonine et al., 2012), which was also used to generate maps with and without bulk-solvent correction (BSC). For in P1, an assembly of 12 monomers constituting the full of the TrpR structure (PDB entry 1mi7; Lawson et al., 2004) was used as a search model. Although molecular-replacement searches were not strictly necessary for phasing because the structure of the host crystals is known, they were carried out to make sure that the structures could be refined with the same protocols regardless of any possible slight changes in packing due to presence of the guest. Molecular-replacement attempts using the guest proteins as the search model were carried out including the host as a fixed model. The channel electron density from the 2Fo − Fc and END maps was analyzed in Coot (Emsley et al., 2010). For the purpose of visualization, map blurring was applied to the 2Fo − Fc maps with a blurring factor of 150 Å2 on a map displayed at a contour level of 0.5 r.m.s.d. using the map-sharpening tool in Coot.
3. Results
3.1. Properties of ds-TrpR as a hostal
Native TrpR is an extensively intertwined dimer (Schevitz et al., 1985) that forms a closed structure by partial domain swapping that does not propagate beyond the dimer. In the presence of some the TrpR dimers partially unfold, associate and crystallize in the form of propagated multimeric arrays (Lawson et al., 2004), in which extended polypeptide chains are connected by domain swapping throughout the into dimer-like `nodes' (Fig. 2a) in a process akin to runaway domain swapping (Guo & Eisenberg, 2006). These domain-swapped TrpR (ds-TrpR) crystals have a solvent content of ∼75% that is present in linear channels of ∼6 nm diameter along the 61 screw axis of the hexagonal (space group P6122; Lawson et al., 2004; Figs. 2b and 2c). The crystals meet the chemical definition of a gel (Jones et al., 2008), in that they have chain entanglement and a high solvent content, but are paradoxically ordered in a Despite their very high solvent content, the ds-TrpR crystals are shown here to be mechanically stable and to tolerate changes of the environment without physical breakage or significant loss of diffraction quality, presumably due to the extensive domain swapping. Crystals of ds-TrpR are furthermore readily reproduced and grown within a day to crystal sizes ranging from microcrystals (<20 µm) to large crystals (>500 µm) depending on the 2-propanol and TrpR concentrations.
A more detailed analysis of the channel dimensions of ds-TrpR crystals was performed in the present work using MOLEonline 2.5 (Sehnal et al., 2013; Pravda et al., 2018), which takes into account side-chain hydration and flexibility (Pravda et al., 2018). This program was originally designed to identify voids within a protein structure that represent, for example, potential substrate-binding pathways in enzymes or pores in membrane proteins. Here, it was used to identify the limiting radius of the ds-TrpR crystal solvent channels. Based on the analysis of an assembly covering at least one complete ds-TrpR channels have a minimal diameter of 5.26 nm (Fig. 2b). The channel size may thus be suitable to host small to medium-size guest proteins with a up to ∼5 nm, corresponding to a molecular mass of up to ∼50 kDa, depending on shape and dynamics (Erickson, 2009).
3.2. Guest-protein incorporation visualized using bright-field microscopy
CytC (12 kDa) and CaM (17 kDa) have been extensively studied by X-ray crystallography and NMR, and their dimensions and the following specific properties suggest that they may be suitable as guests. Both proteins are highly soluble in aqueous buffers and could be dissolved in the crystallization solution used to form ds-TrpR at concentrations of ≫200 mg ml−1 as estimated by the addition of solid protein to crystal droplets. Analysis of the of CytC (PDB entry 1hrc; Bushnell et al., 1990) and the NMR structure of calcium-free CaM (PDB entry 1cfd; Kuboniwa et al., 1995) with HYDROPRO (Ortega et al., 2011) indicate radii of gyration (Rg) of 1.28 and 2.25 nm, respectively (summarized in Supplementary Table S1), sizes that in principle allow these proteins to enter the ds-TrpR solvent channels. Both proteins have suitable absorbance and fluorescence spectra. The heme group of CytC is a natural chromophore that is covalently attached to the protein via two thioether links to Cys14 and Cys18, and the Fe atom is coordinated by the protein side chains of His18 and Met80. Heme absorbance (red color) in the visible region can be used to monitor migration in TrpR crystals by bright-field microscopy, and its fluorescence can be used in confocal imaging. A cysteine-containing variant, Ser17Cys, of the otherwise cysteine-free CaM was used for specific covalent labeling with fluorescent Texas Red Maleimide or Alexa Fluor 532 (Alexa532) Maleimide dyes. Texas Red can be detected by its absorbance (blue color) in bright-field microscopy as well as by its red fluorescence at 615–674 nm with excitation at 594 nm, and Alexa Fluor 532 by its fluorescence at 550–598 nm with excitation at 532 nm.
The soaking procedure with CytC or CaM for bright-field microscopy as described below is shown in Supplementary Fig. S1. In brief, CytC or Texas Red-labeled CaM were added stepwise as lyophilized powders directly into droplets containing ds-TrpR crystals not older than seven days and of ∼50–300 µm in their longest dimension. Additions were continued until no more solid material went into solution within a few minutes. Staining of the ds-TrpR crystals was followed over time by bright-field microscopy, with a red or blue color detected after 1–2 days that appeared to extend throughout the crystals (Figs. 3a and 3b). The color of the guest proteins as judged in the bright-field microscope persists for days when the soaked crystals are transferred into new droplets without guest protein. Slight destaining is observed at the crystal edges, but the centers of the crystals remain colored for several weeks (data not shown). Crystals of ds-TrpR retained their macroscopic hexagonal bipyramidal shape throughout the staining, destaining, microscopy and diffraction analyses described below.
3.3. Guest-protein incorporation visualized using confocal microscopy
CLSM was used to evaluate the distribution of the guest proteins within ds-TrpR host crystals. To evaluate the background fluorescence of the host crystals, fluorescence emission scans of nonsoaked host crystals were carried out by an SP5-X microscope at the excitation wavelength and fluorescence emission ranges of each guest protein (spectra are summarized in Supplementary Table S2). The host crystals do not show background fluorescence with 528 nm excitation. The same CLSM settings were later used for imaging Alexa532-CaM-soaked crystals. In contrast, CLSM emission scans of host crystals with a 355 or 405 nm excitation wavelength show significant fluorescence background emission between 420 and 650 nm, with a peak at ∼465 nm (Figs. 2a and 2c). This background fluorescence is likely to be related to ds-TrpR in crystalline form, as a solution of dimeric TrpR at 4.2 mg ml−1 did not show detectable emission by CLSM with the same settings and shows no absorbance above 320 nm (Supplementary Fig. S2). The origin of this autofluorescence from ds-TrpR crystals was not determined. However, lysozyme crystals also are reported to exhibit autofluorescence of unclear origin when excited in the near-UV range (Cvetkovic et al., 2004), and a number of self-assembling systems have also been reported to exhibit autofluorescence (Luo et al., 2001; Pinotsi et al., 2013).
3.3.1. Imaging of CytC in host crystals
A closer comparison of emission spectra by CLSM reveals significant differences between host crystals with and without CytC guest protein when excited in the near-UV range (Fig. 4 and Supplementary Fig. S3). With excitation at 355 nm, the emission peak is red-shifted from ∼465 to ∼475 nm and a new peak is detected at 510 nm with ∼25% increased intensity at this wavelength for CytC-soaked compared with unsoaked crystals. With excitation at 405 nm, several spectral changes are observed close to the CytC heme absorption maximum at 410 nm: the emission peak is red-shifted from ∼490 to ∼505 nm and has fourfold to fivefold higher emission intensity, a new peak is detected at 550 nm (Figs. 4a and 4b) and the emission intensity between ∼500 and 650 nm is increased (Fig. 4a). Although CytC quantification is complicated by the background fluorescence of ds-TrpR crystals, confocal microscopy with 405 nm excitation was able to follow the penetration of CytC into the crystals semi-quantitatively over time and distance by taking advantage of the increase in fluorescence intensity above 600 nm, where host-crystal autofluorescence is nearly absent and CytC fluorescence can still be detected (Supplementary Table S2). Images with the focal plane through the center of crystals soaked with CytC for one day show more intense and homogeneous fluorescence intensity than the background fluorescence of nonsoaked host crystals, suggesting that the guest may be nearly uniformly distributed (Fig. 4c). Crystals soaked for shorter times, and some large crystals soaked for up to two days, show higher fluorescence at the crystal edges than in the center (data not shown), as also described also for CaM soaking. After less than one week of CytC soaking the fluorescence was typically homogeneous in all focal planes of the crystals, suggesting that the guest distributes evenly throughout the crystals.
3.3.2. Imaging of CaM in host crystals
Host crystals of ∼20–∼50 µm in the longest dimension were soaked with 0.26 mg ml−1 (15 µM) Alexa532-CaM and fluorescence was followed in the SP5-X microscope with excitation at 528 nm and emission around the maximum between ∼550 and 589 nm. Crystals soaked with the guest protein for a few minutes show Alexa532 fluorescence only in focal planes at or close to the surface (Fig. 5a). In contrast, the small-molecule dye Texas Red Maleimide alone shows rapid staining throughout the entire crystal on this timescale (Supplementary Fig. S4). After one day of soaking, Alexa532-CaM fluorescence is strongest at a depth of 10–15 µm from the surface of ∼40 µm crystals. After six days, confocal images show an even distribution of the guest throughout the crystals, with increased Alexa532-CaM fluorescence at the focal plane through the center (along the z dimension) of the crystals compared with the images after one day of soaking (Figs. 5b and 5c).
Alexa532-CaM fluorescence in the crystal has the same spectrum as Alexa532-CaM in solution and was used to quantify the guest in the host crystal by assuming that the dependence of fluorescence intensity on concentration is the same in crystals as in solution. A standard curve for Alexa532-CaM in solution determined using the confocal microscope with the same settings (Supplementary Fig. S6) was linear over the observed range of intensities. From this curve, the uniform fluorescence of the crystals after six days of soaking corresponds to ∼0.12 mg ml−1 (7 µM) Alexa532-CaM.
3.3.3. Enrichment of CaM guest in host crystals
To permit the −1 CaM with 0.1% Alexa532-CaM shows that fluorescence is initially detected only at the surface of the crystal (Fig. 5d). The maximum fluorescence intensity there is 95 arbitrary units (AU), compared with 45 AU for the surrounding CaM solution and zero or negligible fluorescence at the center of the crystal. After one week of soaking with 110 mg ml−1 CaM containing 0.1% Alexa532-CaM, a host crystal of ∼40 µm in the longest dimension shows increased fluorescence throughout (Fig. 5d). The fluorescence within 5–10 µm of the crystal surface (250 AU, implying a guest concentration of >400 mg ml−1, i.e. >25 mM) exceeds the linear response range of the standard curve under the settings used. The center of the crystal has greatly increased fluorescence compared with the soaking solution, with a minimum fluorescence intensity of 200 AU, which is also above the linear range of the standard curve. After two weeks of soaking, the Alexa532-CaM fluorescence exceeds the linear response range throughout the entire inside of the crystal (Fig. 5d). This result indicates that the host crystals become enriched in CaM relative to the surrounding CaM solution.
of a guest in the channel, it is expected that higher concentrations of the guest proteins are needed than those used in the initial soaking experiments. Using only labeled CaM would bring the fluorescence intensity above the linear range of detection for the microscope under the settings used. Therefore, concentrated solutions of unlabeled CaM were supplemented with ∼0.1% Alexa532-CaM to allow the CaM distribution in the crystals to be followed by CLSM using the same settings for all images of the time series described below. The fluorescence and the corresponding plot of intensity from a focal plane through the center of a crystal imaged 5 min after transfer into 88 mg ml3.4. Guest-protein content in crystal channels
For the hostal system to be developed in the future towards crystallographic ). Guest-protein content is distinct from crystallographic occupancy, which requires the guest to not only be present but also crystallographically ordered. Guest-protein content within the host crystal can be defined analogously to the solvent content of a protein crystal. Φguest describes the fraction of the volume (Vguest) of the crystal occupied by the guest protein,
of protein guests, the guest-protein content must represent a sufficient fraction of the solvent-channel volume (illustrated pictorially in Fig. 6where Vcrystal = Vhost + Vsolvent + Vguest.
The total volume of the crystal, Vcrystal, which is fixed, is the sum of the volume of the TrpR host (itself fixed at 25% because unsoaked host crystals have 75% solvent content) plus the volumes of solvent and guest. The guest content [in %(v/v)] within the host crystal derives from Φguest {the guest content [%(v/v)] equals 100 × Φguest}. The of the guest protein in the crystal, Φguest, is obtained from the experimentally estimated of the guest protein in the crystal and the density of the guest protein (ρguest):
Equation (2) allows the determination of Φguest, from which the guest content in the crystal can be determined assuming a homogeneous distribution of the estimated protein concentration throughout the crystal solvent. The theoretically and experimentally determined densities of proteins range from ∼1.22 to ∼1.50 g cm−3 depending on the molecular weight. For proteins of molecular weight <20 kDa the experimental density is generally close to the value of 1.37 g cm−3 (Fischer et al., 2004) determined by Squire & Himmel (1979) and Gekko & Noguchi (1979). Defining guest content in the solvent channels is also useful, as the solvent channel is the only accessible space for the guest proteins and the maximal volume for the guest cannot exceed the solvent-channel volume (100% of the solvent-channel volume = 75% of the crystal volume). Thus, the of guest in the solvent channel (Φguest,channel) can be determined by dividing the estimated concentration in mg ml−1 measured in the crystal by the average protein density of 1.37 × 103 mg ml−1 and correcting for the solvent fraction, 75%. Fig. 6 shows examples of guest contents in the solvent channels resulting from various guest concentrations versus the corresponding values of Φguest in the crystal solvent using equation (2).
Soaking with low concentrations of Alexa532-CaM results in 0.12 mg ml−1 guest protein in the host, corresponding to a guest content of only <0.01%. As described above, high Alexa532-CaM concentrations during soaking resulted in guest-protein enrichment in the channels compared with the concentration in the soaking solution, with the guest concentration estimated to be at least 400 mg ml−1 after two weeks of soaking (see also Supplementary Section S2.2). This concentration corresponds to a guest content in the crystals of ∼30% (a 400 mg ml−1 guest concentration corresponds to a of guest Φguest = 0.29 and Φguest,channel = 0.39). Although there are many possible sources of error in this estimate, its order of magnitude is similar to the TrpR content in the crystals of 25% (volume fraction 0.25), suggesting that long soaking times with high concentrations of the guest achieve guest contents that may support crystallographic if the guests are sufficiently ordered in the crystal.
Furthermore, crystal staining with CytC followed by bright-field microscopy, and its fluorescence spectral shift in CLSM indicating uptake, suggest that CytC also enters host crystals, although following the CytC guest-protein distribution quantitatively over time by CLSM and estimation of its content were challenging. The slightly smaller
and the larger of CytC suggest that its migration in the crystals should be at least as facile as that of CaM, although the unknown factors leading to enrichment of CaM in the crystals may differ for CytC.3.5. X-ray diffraction of soaked crystals
Several crystals of ∼20–50 µm in the longest dimension were harvested after two weeks of soaking with either 110 mg ml−1 CaM (with an estimated guest concentration of 400 mg ml−1 in the channels as described above) or 130 mg ml−1 CytC. In each case crystals were from the same drops as used for CLSM. Crystals were tested by X-ray diffraction on the BioMAX beamline at MAX IV, Lund. Reference diffraction data for nonsoaked host crystals alone, set up for growth at the same time as the crystals for soaking, were measured during the same experiment. All data sets were processed in P6122 and also in P1 (Supplementary Table S6 shows average and standard deviations of unit-cell parameters and Rmeas for data sets from soaked and unsoaked crystals; full parameters and processing statistics are given in Supplementary Tables S3–S5 and S7–S9). The choice to additionally carry out in P1 was made in order to consider the additional possibility that the guests may follow the same lattice but not the same space-group symmetry as the host. Data sets were collected for four individual CaM- and CytC-soaked crystals with maximal resolutions of 2.45–2.90 Å and 2.75–2.95 Å, respectively (cutoff according to the shell with CC1/2 > 0.5 in the first XDS run in either P6122 or P1). The resolution of the soaked crystals is only slightly decreased (maximal resolution 2.45 Å) compared with the test set of four nonsoaked ds-TrpR host crystals measured in the same experiment (2.2 Å maximal resolution). The unit-cell parameters show no large differences among the data sets, but Rmeas for merging in P6122 is higher, especially for the CytC-soaked crystals (>15%) compared with nonsoaked ds-TrpR crystals (∼12%) (Supplementary Table S6). These differences in the merging statistics may directly or indirectly be a result of the soaking procedure and may be caused by, for example, crystal deterioration or contributions to the diffraction by a guest that may not follow the host symmetry perfectly. However, similarly as for merging in P6122, merging in P1 also results in an elevated Rmeas for the soaked crystals (∼13% versus ∼10% for nonsoaked crystals; Supplementary Table S6). Analysis by phenix.xtriage in the Phenix suite (Liebschner et al., 2019) and POINTLESS (Evans, 2011) excluded as a possible explanation for the high Rmeas of the soaked compared with unsoaked crystals, and showed similar correlation coefficients for reflections related by the different rotational symmetry operators, suggesting that the guest is not in a different lattice to the host.
The structures of ds-TrpR from the best-diffracting crystals from each soaking experiment and from nonsoaked crystals were determined by P6122 as well as in P1 using a previously determined ds-TrpR refined at 2.05 Å resolution (PDB entry 6st6) as a search model. The host structure solved in P1 does not show any obvious differences compared with the P6122 structure, showing that a breakdown in symmetry is unlikely to be the origin of the higher merging statistics described above. are summarized in Table 1 (complete are given in Supplementary Tables S7–S9). The Rfree/Rwork values are slightly elevated for the guest-soaked compared with unsoaked ds-TrpR crystals. The elevated values may reflect several factors, including differences in resolution or some contribution from the guest. However, the effect is over the full resolution range and is not the result of badly modeled low-resolution data (Supplementary Table S7), and thus does not seem to be caused by erroneous bulk-solvent correction in the guest-soaked crystals.
in
‡Values in parentheses are for the highest resolution shell. Full data-collection, processing and structure-refinement statistics are provided in Supplementary Tables S7–S9. |
Molecular-replacement searches readily identified the ds-TrpR host in crystals soaked with CaM or CytC, but no solution could be found for the guests when their structures were included as search models in Section S2.3). Weak electron density detected in the solvent channels could not be identified as partial or complete structures of CaM or CytC in the corresponding soaked crystals. To visualize this weak density, the electron density is shown in Fig. 7 as 2Fo − Fc maps at high noise levels (0.6 r.m.s.d.) and as blurred maps to enhance low-resolution information. Blurring of the 2Fo − Fc maps was used in contrast to map sharpening, which is typically performed to increase the quality of high-resolution information in crystal structures (Liu & Xiong, 2014). A blurring B value of 150 Å2 was chosen because at this value the electron density in the channels of unsoaked host crystals largely disappears but the density of the host remains well defined. For the soaked host crystals (particularly CaM), but not for the nonsoaked ds-TrpR host, features of connected electron density are visible when map blurring is applied. The observation of additional density is consistent with what is seen in comparison of maps on the absolute scale of electrons per unit volume (e− Å−3; END maps, as described by Lang et al., 2014) for better comparability between data sets (Supplementary Fig. S6). Inspection of maps after without bulk-solvent correction indicates that the channel density for guest-soaked crystals is enhanced compared with nonsoaked crystals (Supplementary Fig. S6), suggesting that bulk-solvent correction may contribute to suppressing the guest density. The additional electron density observed in CaM-soaked crystals cannot be explained by the different resolutions of the data sets, as the same map features are seen when all of the data are truncated to the same (lower) resolution of 4 Å (Supplementary Fig. S8). Although these results suggest that the channel density is due to a scattering contribution from the guest protein, it is not clear at present how useful it may be for future structural interpretation.
(4. Discussion
4.1. Following incorporation of guest proteins using CLSM
The staining of ds-TrpR crystals by the two small (<20 kDa) colored guest proteins observed by bright-field microscopy was a first indication that proteins of this size can enter the crystals, but did not allow conclusions about their et al. (2004), CLSM is a useful method to follow the diffusion of fluorescent small molecules within crystals. In the present study, CLSM imaging of the distribution of fluorescently labeled CaM in ds-TrpR crystals confirms the slow migration of the guest protein over a period of weeks to reach a uniform distribution throughout 20–50 µm host crystals. The results thus indicate that CLSM can be extended from small molecules to follow guest-protein incorporation into solvent channels of protein crystals, although the guest must be labeled if not naturally fluorescent. A limitation of this technique is the possible background fluorescence of the host crystal itself, as has been reported for lysozyme crystals (Cvetkovic et al., 2004) and observed in this study for the ds-TrpR host crystals with excitation in the near-UV range. This background fluorescence hampered the quantification of CytC in ds-TrpR crystals, although the distinct of entrained CytC signaled incorporation and was used to follow the guest-protein distribution in the crystals semi-quantitatively. To our knowledge, the current work provides the first evidence that proteins can be incorporated via soaking into solvent channels of existing protein crystals. Using high concentrations of CaM (∼100 mg ml−1) for soaking results in an apparently at least fourfold higher guest-protein concentration in the crystal compared with the soaking solution, suggesting an enrichment effect of the guest in the mesoporous crystals of the host. Enrichment of proteins and in silica-based mesoporous materials has previously been reported (Qian et al., 2013).
or uniformity of distribution. As indicated by the work of CvetkovicIt will be useful to better understand and develop models for the migration of proteins through a protein-based mesoporous system such as the ds-TrpR crystals used here. Unconstrained diffusion times for single protein molecules based on ; Nelson, 1967) suggest a timescale of seconds for proteins to move a distance of 50 µm, the maximal dimension of most of the crystals used in these experiments. This rough estimate is for free diffusion, which is not the case here, and it neglects many factors, including the concentration gradient between the bulk solution and the crystal solvent channels, the channel architecture and composition, solvent viscosity in the channels and molecular interactions between the host and guest. Diffusion in bulk solvent differs from migration of proteins in channels of dimensions similar to the proteins themselves because proteins limit the motions of others in the same channel. Experimental studies of small-molecule diffusion through protein crystals showed that in several cases equilibrium is reached only after several hours (Geremia et al., 2006) and that ligand occupancy in binding sites continues to increase over hours of soaking for some crystals (Collins et al., 2017). It has further been observed that the soaking time needed to reach full ligand occupancy depends on the crystal size and on the organization and size of the solvent channels (Velev et al., 2000; Mizutani et al., 2014). Thus, modeling the apparent diffusion process is likely to be very challenging even for smaller molecules, emphasizing the importance of experimental benchmarking on a case-by-case basis. Given the long apparent diffusion times observed for some small molecules, the even longer times for CaM observed here are not surprising. Future experiments that explore the apparent diffusion coefficients of guest proteins in the channels, for example by using fluorescence recovery after photobleaching, may eventually allow the modeling of guest migration based on experimental data, as has been performed for a few small-molecule cases (Velev et al., 2000; Cvetkovic et al., 2004; Geremia et al., 2006; Malek, 2007).
(Smoluchowski, 19064.2. ds-TrpR crystals as a hostal system
The CLSM studies suggest that guest proteins become distributed uniformly within the ds-TrpR host crystals and enriched within the channels after soaking for two weeks at high guest concentrations. These treatments demand crystal robustness, as they involve considerable changes of the crystal environment. Guest-soaked ds-TrpR host crystals diffract to resolutions similar to nonsoaked host crystals (the highest resolution for unsoaked host crystals used in this study is about 2.2 Å, versus 2.45 Å for guest-soaked host crystals), and ds-TrpR crystals do not develop crystal pathologies such as
upon soaking. Despite the very high solvent content of ds-TrpR crystals, they are shown here to be mechanically stable and to tolerate these changes in the environment without physical breakage or significant loss of diffraction quality. These observations from the soaking studies show that the crystals can tolerate at least some chemical changes in the surrounding solution. Future work may therefore explore whether host–guest interactions can be promoted by modification of the crystal chemical environment, for example, by manipulation of the Hofmeister series of ions that may favor or disfavor electrostatic or hydrophobic interactions.4.3. Guest requirements
Guest proteins of up to ∼36 kDa could theoretically follow the hexagonal symmetry of ds-TrpR crystals, as estimated very roughly (a TrpR monomer of 12 kDa comprising 25% crystal content with 75% solvent content implies 12 kDa TrpR plus 36 kDa guest comprising 100% crystal content with ∼0% solvent). This is an extreme upper limit, however, considering that 0% solvent content is not realistic and that the pore shape also contributes to the space available for the guest. Thus, guest proteins significantly smaller than 35 kDa are most likely to meet the requirements of size and symmetry for the ds-TrpR hostal system. As the guest proteins studied here, CytC (12 kDa) and CaM (17 kDa), are well below this limit, they are theoretically suited to penetrate the channels and follow the 6122 symmetry of ds-TrpR with a rough estimate of ≥37% solvent content at maximal guest content, although they need not fully or partially follow the 6122 symmetry of the ds-TrpR host. Guests of up to ∼50 kDa could in principle be accommodated in the same primitive lattice as the host but without internal symmetry (P1). The larger the guest, the higher the likelihood that the guest will not follow the host symmetry because there are fewer possible ways to occupy the limited space, which also depends on the guest shape. In the diffraction data sets analyzed here there was no indication that the guests are ordered but do not follow the host symmetry or occupy a lattice different from that of the host.
4.4. Prospects for structure determination
The hostal system reported here is conceptually related to the crystal sponge host–guest systems described by Inokuma et al. (2013), as it relies on the incorporation of guest molecules by soaking into a crystalline host. Sponge systems exploit the small channels of crystalline hosts to accommodate, and optimally to order, small guests, although the fundamental principles of host–guest interactions for the sponge method are not fully understood (Hayes et al., 2016). Recent developments with crystal sponge hosts have allowed the of a wider range of guests including increasingly larger, more flexible and chemically complex molecules (Yoshioka et al., 2015; Ning et al., 2016; Rosenberger et al., 2020) as well as compounds in aqueous solution (Poel et al., 2019). Commonly used host–guest sponge systems are typically not designed for interactions with a specific guest, and a single crystal host may be used for guests with varying host–guest interactions (Hoshino et al., 2016). Translation of the principles applying to small-molecule crystal sponges to hostal systems cannot be predicted with confidence at this time due to the larger size and thus the higher structural complexity and potentially higher flexibility of proteins compared with the typical targets of the crystal sponge method to date. Whether the crystal sponge method can be extended to hostals remains an open question that can only be answered by further experimental work, although the current study shows that the required first step, the incorporation of guest proteins into a hostal at high concentrations, is effective.
The present work shows that starting from bulk concentrations of ∼100 mg ml−1 CaM, concentrations of ∼400 mg ml−1 CaM within the crystal channels were achievable, corresponding to 29% of the crystal volume (i.e. 39% of the crystal solvent volume, which is 75% in the ds-TrpR crystal, is replaced by CaM) and a nearly equal molar ratio of CaM guest to TrpR host (1.1:1). Such enrichment over the surrounding bulk may be due to favorable interactions between CaM and the host channels or due to a net gain in if calmodulin replaces a significant number of ordered water molecules from the channels. High guest content within the host crystals is a necessary, but not sufficient, requirement to achieve the high site occupancies needed for conventional of the guests. If all guest molecules follow the host and have limited intrinsic flexibility or internal disorder, the concentrations achieved here with CaM are expected to yield occupancies that are sufficient for However, structural information on the guests was not easily obtained by conventional structure-determination methods. This observation suggests that the guest has a large degree of disorder in the host channels, making the occupancy at individual crystallographic sites too low to solve the structure in conventional ways; positional disorder and/or internal guest dynamics may be responsible.
Thus, the eventual success of a hostal method for L-tryptophan (L-Trp). L-Trp binds to ds-TrpR in a position equivalent to its binding site in dimeric TrpR (PDB entry 1jhg; Lawson, 1996; Sprenger et al., submitted), a result that is not necessarily expected because the residues of the binding site arise from three polypeptide chains in ds-TrpR rather than two in native dimeric TrpR. This approach might be especially useful with smaller guests (for example peptides) that may be able to diffuse past the first tightly bound molecules that limit the space in the channels.
is likely to depend on improving the order of the guest molecules experimentally so as to limit the number of guest conformations and improve the occupancy at crystallographic sites. The ds-TrpR host offers several approaches to increase the order of guest proteins by promoting specific and strong host–guest interactions while allowing adequate migration of the guest through the solvent channels. One potential way to order guests involves chemical tagging with mimics of the physiological ligandAn additional feature of ds-TrpR crystals that may facilitate the ordering of guest proteins is that the N-terminus of the protein faces the crystal solvent channels (Lawson et al., 2004) and might be engineered in various ways. Recent experiments yet to be reported (Sprenger et al., in preparation) also reveal that TrpR bearing an N-terminal extension crystallizes in a domain-swapped form without degradation of diffraction quality and that the extension points into the solvent channels. This result suggests that engineering the host to include an N-terminal peptide representing a binding site as `bait' for a peptide-binding guest protein such as CaM might enable targeting to the channels, enhancing crystallographic site occupancy that follows the symmetry of the host. In this context, the physiological interactions of CaM might be exploited as a proof of concept, as the binding of CaM or its individual domains to peptide targets is additionally dependent on calcium ions that can be used to trigger binding (Babu et al., 1985; Hoeflich & Ikura, 2002; Tidow & Nissen, 2013). Triggering of guest binding after soaking aims at limiting the potential blocking of the solvent pores, thus allowing facile guest migration prior to high-affinity binding. Finally, if one anchor point is not sufficient to order a guest for crystallographic analysis, subsequent chemical cross-linking of guest and host can be envisaged in addition due to the robustness of the ds-TrpR crystals to chemical conditions.
Recent advances in the fields of X-ray diffraction and the interpretation of low-level electron densities may additionally help to solve guest-protein structures in the future. The lowest limit of site occupancy for a molecule to be structurally elucidated using conventional crystallography is not completely clear, but it has been suggested (Deller & Rupp, 2015) that atoms with occupancies of 0.15 or less cannot be interpreted. Another study shows that ligands with occupancies as low as 0.22 can be modeled and refined using, for example, PanDDA maps (Pearce, Bradley et al., 2017; Pearce, Krojer et al., 2017). Guest-site occupancies of at least 0.2 with moderate B factors may be achievable in the future using the anchoring strategies suggested above, thus potentially making possible with careful density analysis. Diffraction methods that make use of crystal disorder may also be advantageous. It has, for example, been shown that taking the diffuse scattering signal from a diffraction experiment into account improves structure interpretation for less ordered parts of crystal structures (Chapman et al., 2017).
4.5. Potential of hostal systems for biotechnological applications
In addition to using ds-TrpR as a hostal system for solving the crystal structures of guest proteins, the robust crystals of ds-TrpR, and similar hostals that may be developed in the future, may also be applicable in other fields of biotechnology. Protein crystals, especially of enzymes, have gained interest, for example, for use as `micro-bioreactors' that serve to concentrate reactants in confined volumes, in line with other protein-encapsulation methods (Minten et al., 2009). Crystals used as bioreactors are typically not of diffraction quality, as they are stabilized to withstand harsh reaction conditions (Yan et al., 2015; Hartje & Snow, 2018), for example by glutaraldehyde cross-linking (Andersen et al., 2009). Protein crystals or their solvent channels have also been investigated as templates for nanomaterials or as drug-delivery systems (reviewed by Abe & Ueno, 2015). Taking advantage of the fact that the ds-TrpR hostal is quite stable even without cross-linking, this host–guest system could be useful to explore protein-encapsulation applications that do not require sufficient guest order for diffraction studies. Recently, a number of porous or protein-based cargo systems for controlled drug release have been discussed, such as mesoporous silica (Vallet-Regí et al., 2017), metal–organic frameworks (Ni et al., 2019) and protein cages such as ferritin (Chakraborti et al., 2019). Mesoporous protein systems such as the ds-TrpR host system described here may also be useful to explore as potential cargo (guest) carriers for such applications.
Supporting information
Supplementary materials and methods, supplementary results, Supplementary Tables and Supplementary Figures. DOI: https://doi.org/10.1107/S2059798321001078/rr5201sup1.pdf
Acknowledgements
The authors declare no conflicts of interest. We acknowledge MAX IV Laboratory for time on the BioMAX beamline under Proposal 20190334. Research conducted at MAX IV, a Swedish national user facility, is supported by the Swedish Research Council under contract 2018-07152, the Swedish Governmental Agency for Innovation Systems under contract 2018-04969 and Formas under contract 2019-02496. We acknowledge Dr Johan Unge for support during the beamtime. We furthermore thank the staff of the Center for Advanced Bioimaging at the University of Copenhagen, especially Dr Michael Hanssen, who provided generous support for the imaging experiments using CLSM, Dr Marjolein Thunissen at Lund University for initial and strategic help, and Dr Andrzej Gorecki at Jagiellonian University, Krakow for initial CytC fluorescence spectra. Travel to synchrotrons was supported by the Danish Ministry of Higher Education and Science through the Instrument Center DANSCATT. LLL, AS and JS are members of ISBUC: Integrative Structural Biology at the University of Copenhagen (https://isbuc.ku.dk). Open access funding enabled and organized by Projekt DEAL.
Funding information
This work was supported by funding from the Villum Foundation (Villum Experiment grant 17535), from the EU ÖKS–Interreg projects ESS and MAX IV: Cross Border Science and Society, MAX4ESSFUN grant LU001 and Hanseatic League of Science (HALOS) grant UCPH-002, and from the Swedish Research Council (2015-00143). JC gratefully acknowledges support from NSF award DBI-1659726.
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