RESUMEN
Standard methods for de novo protein structure determination by nuclear magnetic resonance (NMR) require time-consuming data collection and interpretation efforts. Here we present a qualitatively distinct and novel approach, called Comparative, Objective Measurement of Protein Architectures by Scoring Shifts (COMPASS), which identifies the best structures from a set of structural models by numerical comparison with a single, unassigned 2D (13)C-(13)C NMR spectrum containing backbone and side-chain aliphatic signals. COMPASS does not require resonance assignments. It is particularly well suited for interpretation of magic-angle spinning solid-state NMR spectra, but also applicable to solution NMR spectra. We demonstrate COMPASS with experimental data from four proteins--GB1, ubiquitin, DsbA, and the extracellular domain of human tissue factor--and with reconstructed spectra from 11 additional proteins. For all these proteins, with molecular mass up to 25 kDa, COMPASS distinguished the correct fold, most often within 1.5 Å root-mean-square deviation of the reference structure.
Asunto(s)
Proteínas Bacterianas/química , Proteínas de Escherichia coli/química , Proteína Disulfuro Isomerasas/química , Programas Informáticos , Tromboplastina/química , Ubiquitina/química , Proteínas Bacterianas/genética , Proteínas Bacterianas/metabolismo , Isótopos de Carbono , Cristalografía por Rayos X , Escherichia coli/genética , Escherichia coli/metabolismo , Proteínas de Escherichia coli/genética , Proteínas de Escherichia coli/metabolismo , Expresión Génica , Humanos , Resonancia Magnética Nuclear Biomolecular , Proteína Disulfuro Isomerasas/genética , Proteína Disulfuro Isomerasas/metabolismo , Pliegue de Proteína , Estructura Secundaria de Proteína , Estructura Terciaria de Proteína , Proteínas Recombinantes/química , Proteínas Recombinantes/genética , Proteínas Recombinantes/metabolismo , Proyectos de Investigación , Streptococcus/química , Homología Estructural de Proteína , Tromboplastina/genética , Tromboplastina/metabolismo , Ubiquitina/genética , Ubiquitina/metabolismoRESUMEN
Recent work has shown that xenon chemical shifts in cryptophane-cage sensors are affected when tethered chelators bind to metals. Here, we explore the xenon shifts in response to a wide range of metal ions binding to diastereomeric forms of 1,4,7,10-tetraazacyclododecane-1,4,7,10-tetraacetic acid (DOTA) linked to cryptophane-A. The shifts induced by the binding of Ca(2+) , Cu(2+) , Ce(3+) , Zn(2+) , Cd(2+) , Ni(2+) , Co(2+) , Cr(2+) , Fe(3+) , and Hg(2+) are distinct. In addition, the different responses of the diastereomers for the same metal ion indicate that shifts are affected by partial folding with a correlation between the expected coordination number of the metal in the DOTA complex and the chemical shift of (129) Xe. These sensors may be used to detect and quantify many important metal ions, and a better understanding of the basis for the induced shifts could enhance future designs.
Asunto(s)
Quelantes/química , Compuestos Heterocíclicos con 1 Anillo/química , Metales Alcalinotérreos/química , Metales Pesados/química , Cristalografía por Rayos X , Modelos Moleculares , Estructura Molecular , Isótopos de Xenón/químicaRESUMEN
Magnetic resonance imaging (MRI) enables high-resolution non-invasive observation of the anatomy and function of intact organisms. However, previous MRI reporters of key biological processes tied to gene expression have been limited by the inherently low molecular sensitivity of conventional (1)H MRI. This limitation could be overcome through the use of hyperpolarized nuclei, such as in the noble gas xenon, but previous reporters acting on such nuclei have been synthetic. Here, we introduce the first genetically encoded reporters for hyperpolarized (129)Xe MRI. These expressible reporters are based on gas vesicles (GVs), gas-binding protein nanostructures expressed by certain buoyant microorganisms. We show that GVs are capable of chemical exchange saturation transfer interactions with xenon, which enables chemically amplified GV detection at picomolar concentrations (a 100- to 10,000-fold improvement over comparable constructs for (1)H MRI). We demonstrate the use of GVs as heterologously expressed indicators of gene expression and chemically targeted exogenous labels in MRI experiments performed on living cells.
Asunto(s)
Imagen por Resonancia Magnética/métodos , Xenón/química , Expresión Génica , HumanosRESUMEN
The disulfide bond generation system in E. coli is led by a periplasmic protein, DsbA, and an integral membrane protein, DsbB. Here we present a solid-state NMR (SSNMR) study of a 41 kDa membrane protein complex DsbA/DsbB precipitated in the presence of native lipids to investigate conformational changes and dynamics that occur upon transient complex formation within the electron transfer pathway. Chemical shift changes in the periplasmic enzyme DsbA in three states (wild type, C33S mutant, and in complex with DsbB) reveal structural and/or dynamic information. We report a 4.9 ppm (15)N chemical shift change observed for Pro31 in the active site between the wild type and C33S mutant of DsbA. Additionally, the Pro31 residue remains elusive in the DsbA/DsbB complex, indicating that the dynamics change drastically in the active site between the three states of DsbA. Using three-dimensional SSNMR spectra, partial (13)C and (15)N de novo chemical shift assignments throughout DsbA in the DsbA/DsbB complex were compared with the shifts from DsbA alone to map site-specific chemical shift perturbations. These results demonstrate that there are further structural and dynamic changes of DsbA in the native membrane observed by SSNMR, beyond the differences between the crystal structures of DsbA and the DsbA/DsbB complex.
Asunto(s)
Proteínas Bacterianas/química , Proteínas Bacterianas/metabolismo , Proteínas de Escherichia coli/química , Proteínas de Escherichia coli/metabolismo , Proteínas de la Membrana/química , Proteínas de la Membrana/metabolismo , Resonancia Magnética Nuclear Biomolecular , Proteína Disulfuro Isomerasas/química , Proteína Disulfuro Isomerasas/metabolismo , Disulfuros/química , Modelos Moleculares , Peso Molecular , Conformación ProteicaRESUMEN
The integral membrane protein DsbB in Escherichia coli is responsible for oxidizing the periplasmic protein DsbA, which forms disulfide bonds in substrate proteins. We have developed a high-resolution structural model by combining experimental X-ray and solid-state NMR with molecular dynamics (MD) simulations. We embedded the high-resolution DsbB structure, derived from the joint calculation with X-ray reflections and solid-state NMR restraints, into the lipid bilayer and performed MD simulations to provide a mechanistic view of DsbB function in the membrane. Further, we revealed the membrane topology of DsbB by selective proton spin diffusion experiments, which directly probe the correlations of DsbB with water and lipid acyl chains. NMR data also support the model of a flexible periplasmic loop and an interhelical hydrogen bond between Glu26 and Tyr153.
Asunto(s)
Proteínas Bacterianas/biosíntesis , Proteínas Bacterianas/química , Proteínas de Escherichia coli/biosíntesis , Proteínas de Escherichia coli/química , Membrana Dobles de Lípidos/química , Membrana Dobles de Lípidos/metabolismo , Proteínas de la Membrana/biosíntesis , Proteínas de la Membrana/química , Secuencia de Aminoácidos , Cristalografía por Rayos X , Disulfuros/química , Disulfuros/metabolismo , Enlace de Hidrógeno , Modelos Moleculares , Simulación de Dinámica Molecular , Datos de Secuencia Molecular , Resonancia Magnética Nuclear Biomolecular , Especificidad por SustratoRESUMEN
Solid-state NMR has emerged as an important tool for structural biology and chemistry, capable of solving atomic-resolution structures for proteins in membrane-bound and aggregated states. Proton detection methods have been recently realized under fast magic-angle spinning conditions, providing large sensitivity enhancements for efficient examination of uniformly labeled proteins. The first and often most challenging step of protein structure determination by NMR is the site-specific resonance assignment. Here we demonstrate resonance assignments based on high-sensitivity proton-detected three-dimensional experiments for samples of different physical states, including a fully-protonated small protein (GB1, 6 kDa), a deuterated microcrystalline protein (DsbA, 21 kDa), a membrane protein (DsbB, 20 kDa) prepared in a lipid environment, and the extended core of a fibrillar protein (α-synuclein, 14 kDa). In our implementation of these experiments, including CONH, CO(CA)NH, CANH, CA(CO)NH, CBCANH, and CBCA(CO)NH, dipolar-based polarization transfer methods have been chosen for optimal efficiency for relatively high protonation levels (full protonation or 100 % amide proton), fast magic-angle spinning conditions (40 kHz) and moderate proton decoupling power levels. Each H-N pair correlates exclusively to either intra- or inter-residue carbons, but not both, to maximize spectral resolution. Experiment time can be reduced by at least a factor of 10 by using proton detection in comparison to carbon detection. These high-sensitivity experiments are especially important for membrane proteins, which often have rather low expression yield. Proton-detection based experiments are expected to play an important role in accelerating protein structure elucidation by solid-state NMR with the improved sensitivity and resolution.
Asunto(s)
Proteínas de la Membrana/química , Resonancia Magnética Nuclear Biomolecular/métodos , Proteínas Bacterianas/química , Deuterio , Proteínas de Escherichia coli/química , Proteína Disulfuro Isomerasas/química , Protones , alfa-Sinucleína/químicaRESUMEN
Solid-state NMR can provide atomic-resolution information about protein motions occurring on a vast range of time scales under similar conditions to those of X-ray diffraction studies and therefore offers a highly complementary approach to characterizing the dynamic fluctuations occurring in the crystal. We compare experimentally determined dynamic parameters, spin relaxation, chemical shifts, and dipolar couplings, to values calculated from a 200 ns MD simulation of protein GB1 in its crystalline form, providing insight into the nature of structural dynamics occurring within the crystalline lattice. This simulation allows us to test the accuracy of commonly applied procedures for the interpretation of experimental solid-state relaxation data in terms of dynamic modes and time scales. We discover that the potential complexity of relaxation-active motion can lead to significant under- or overestimation of dynamic amplitudes if different components are not taken into consideration.
RESUMEN
NMR chemical shift tensors (CSTs) in proteins, as well as their orientations, represent an important new restraint class for protein structure refinement and determination. Here, we present the first determination of both CST magnitudes and orientations for (13)Cα and (15)N (peptide backbone) groups in a protein, the ß1 IgG binding domain of protein G from Streptococcus spp., GB1. Site-specific (13)Cα and (15)N CSTs were measured using synchronously evolved recoupling experiments in which (13)C and (15)N tensors were projected onto the (1)H-(13)C and (1)H-(15)N vectors, respectively, and onto the (15)N-(13)C vector in the case of (13)Cα. The orientations of the (13)Cα CSTs to the (1)H-(13)C and (13)C-(15)N vectors agreed well with the results of ab initio calculations, with an rmsd of approximately 8°. In addition, the measured (15)N tensors exhibited larger reduced anisotropies in α-helical versus ß-sheet regions, with very limited variation (18 ± 4°) in the orientation of the z-axis of the (15)N CST with respect to the (1)H-(15)N vector. Incorporation of the (13)Cα CST restraints into structure calculations, in combination with isotropic chemical shifts, transferred echo double resonance (13)C-(15)N distances and vector angle restraints, improved the backbone rmsd to 0.16 Å (PDB ID code 2LGI) and is consistent with existing X-ray structures (0.51 Å agreement with PDB ID code 2QMT). These results demonstrate that chemical shift tensors have considerable utility in protein structure refinement, with the best structures comparable to 1.0-Å crystal structures, based upon empirical metrics such as Ramachandran geometries and χ(1)/χ(2) distributions, providing solid-state NMR with a powerful tool for de novo structure determination.
Asunto(s)
Proteínas Bacterianas/química , Anisotropía , Isótopos de Carbono/química , Cristalografía por Rayos X , Hidrógeno/química , Modelos Moleculares , Estructura Molecular , Isótopos de Nitrógeno/química , Resonancia Magnética Nuclear Biomolecular , Estructura Terciaria de ProteínaRESUMEN
X-ray diffraction and nuclear magnetic resonance spectroscopy (NMR) are the staple methods for revealing atomic structures of proteins. Since crystals of biomolecular assemblies and membrane proteins often diffract weakly and such large systems encroach upon the molecular tumbling limit of solution NMR, new methods are essential to extend structures of such systems to high resolution. Here we present a method that incorporates solid-state NMR restraints alongside of X-ray reflections to the conventional model building and refinement steps of structure calculations. Using the 3.7 Å crystal structure of the integral membrane protein complex DsbB-DsbA as a test case yielded a significantly improved backbone precision of 0.92 Å in the transmembrane region, a 58% enhancement from using X-ray reflections alone. Furthermore, addition of solid-state NMR restraints greatly improved the overall quality of the structure by promoting 22% of DsbB transmembrane residues into the most favored regions of Ramachandran space in comparison to the crystal structure. This method is widely applicable to any protein system where X-ray data are available, and is particularly useful for the study of weakly diffracting crystals.
Asunto(s)
Proteínas de la Membrana/química , Proteínas Bacterianas/química , Cristalografía por Rayos X , Proteínas de Escherichia coli/química , Modelos Moleculares , Resonancia Magnética Nuclear Biomolecular , Conformación Proteica , Proteína Disulfuro Isomerasas/química , Difracción de Rayos XRESUMEN
Amino-acid selective isotope labeling of proteins offers numerous advantages in mechanistic studies by revealing structural and functional information unattainable from a crystallographic approach. However, efficient labeling of proteins with selected amino acids necessitates auxotrophic hosts, which are often not available. We have constructed a set of auxotrophs in a commonly used Escherichia coli expression strain C43(DE3), a derivative of E. coli BL21(DE3), which can be used for isotopic labeling of individual amino acids or sets of amino acids. These strains have general applicability to either soluble or membrane proteins that can be expressed in E. coli. We present examples in which proteins are selectively labeled with (13)C- and (15)N-amino acids and studied using magic-angle spinning solid-state NMR and pulsed EPR, demonstrating the utility of these strains for biophysical characterization of membrane proteins, radical-generating enzymes and metalloproteins.
Asunto(s)
Complejo IV de Transporte de Electrones/biosíntesis , Proteínas de Escherichia coli/biosíntesis , Ferredoxinas/biosíntesis , Marcaje Isotópico/métodos , Secuencias de Aminoácidos , Sitios de Unión , Espectroscopía de Resonancia por Spin del Electrón , Complejo IV de Transporte de Electrones/química , Escherichia coli/genética , Proteínas de Escherichia coli/química , Ferredoxinas/química , Enlace de Hidrógeno , Hierro/química , Proteínas de la Membrana/biosíntesis , Proteínas de la Membrana/química , Modelos Moleculares , Resonancia Magnética Nuclear Biomolecular , Organismos Modificados Genéticamente , Oxidación-Reducción , Subunidades de Proteína/biosíntesis , Subunidades de Proteína/química , Proteínas Recombinantes/biosíntesis , Proteínas Recombinantes/química , Espectroscopía Infrarroja por Transformada de Fourier , Azufre/químicaRESUMEN
Ubiquinone (Coenzyme Q) plays an important role in the mitochondrial respiratory chain and also acts as an antioxidant in its reduced form, protecting cellular membranes from peroxidation. De novo disulfide bond generation in the E. coli periplasm involves a transient complex consisting of DsbA, DsbB, and ubiquinone (UQ). It is hypothesized that a charge-transfer complex intermediate is formed between the UQ ring and the DsbB-C44 thiolate during the reoxidation of DsbA, which gives a distinctive ~500 nm absorbance band. No enzymological precedent exists for an UQ-protein thiolate charge-transfer complex, and definitive evidence of this unique reaction pathway for DsbB has not been fully demonstrated. In order to study the UQ-8-DsbB complex in the presence of native lipids, we have prepared isotopically labeled samples of precipitated DsbB (WT and C41S) with endogenous UQ-8 and lipids, and we have applied advanced multidimensional solid-state NMR methods. Double-quantum filter and dipolar dephasing experiments facilitated assignments of UQ isoprenoid chain resonances not previously observed and headgroup sites important for the characterization of the UQ redox states: methyls (~20 ppm), methoxys (~60 ppm), olefin carbons (120-140 ppm), and carbonyls (150-160 ppm). Upon increasing the DsbB(C41S) pH from 5.5 to 8.0, we observed a 10.8 ppm upfield shift for the UQ C1 and C4 carbonyls indicating an increase of electron density on the carbonyls. This observation is consistent with the deprotonation of the DsbB-C44 thiolate at pH 8.0 and provides direct evidence of the charge-transfer complex formation. A similar trend was noted for the UQ chemical shifts of the DsbA(C33S)-DsbB(WT) heterodimer, confirming that the charge-transfer complex is unperturbed by the DsbB(C41S) mutant used to mimic the intermediate state of the disulfide bond generating reaction pathway.
Asunto(s)
Proteínas Bacterianas/química , Disulfuros/química , Proteínas de la Membrana/química , Ubiquinona/química , Espectroscopía de Resonancia Magnética/normas , Estructura Molecular , Estándares de ReferenciaRESUMEN
Magic-angle spinning solid-state NMR (MAS SSNMR) represents a fast developing experimental technique with great potential to provide structural and dynamics information for proteins not amenable to other methods. However, few automated analysis tools are currently available for MAS SSNMR. We present a methodology for automating protein resonance assignments of MAS SSNMR spectral data and its application to experimental peak lists of the ß1 immunoglobulin binding domain of protein G (GB1) derived from a uniformly ¹³C- and ¹5N-labeled sample. This application to the 56 amino acid GB1 produced an overall 84.1% assignment of the N, CO, CA, and CB resonances with no errors using peak lists from NCACX 3D, CANcoCA 3D, and CANCOCX 4D experiments. This proof of concept demonstrates the tractability of this problem.
Asunto(s)
Inmunoglobulinas/química , Proteínas del Tejido Nervioso/química , Resonancia Magnética Nuclear Biomolecular/métodos , Proteínas/química , Secuencia de Aminoácidos , Sitios de Unión , Isótopos de Carbono , Datos de Secuencia Molecular , Isótopos de Nitrógeno , Unión ProteicaRESUMEN
Charged residues play an important role in defining key mechanistic features in many biomolecules. Determining the pK(a) values of large, membrane or fibrillar proteins can be challenging with traditional methods. In this study we show how solid-state NMR is used to monitor chemical shift changes during a pH titration for the small soluble ß1 immunoglobulin binding domain of protein G. The chemical shifts of all the amino acids with charged side-chains throughout the uniformly-(13)C,(15)N-labeled protein were monitored over several samples varying in pH; pK(a) values were determined from these shifts for E27, D36, and E42, and the bounds for the pK(a) of other acidic side-chain resonances were determined. Additionally, this study shows how the calculated pK(a) values give insights into the crystal packing of the protein.
RESUMEN
We present strategies for chemical shift assignments of large proteins by magic-angle spinning solid-state NMR, using the 21-kDa disulfide-bond-forming enzyme DsbA as prototype. Previous studies have demonstrated that complete de novo assignments are possible for proteins up to approximately 17 kDa, and partial assignments have been performed for several larger proteins. Here we show that combinations of isotopic labeling strategies, high field correlation spectroscopy, and three-dimensional (3D) and four-dimensional (4D) backbone correlation experiments yield highly confident assignments for more than 90% of backbone resonances in DsbA. Samples were prepared as nanocrystalline precipitates by a dialysis procedure, resulting in heterogeneous linewidths below 0.2 ppm. Thus, high magnetic fields, selective decoupling pulse sequences, and sparse isotopic labeling all improved spectral resolution. Assignments by amino acid type were facilitated by particular combinations of pulse sequences and isotopic labeling; for example, transferred echo double resonance experiments enhanced sensitivity for Pro and Gly residues; [2-(13)C]glycerol labeling clarified Val, Ile, and Leu assignments; in-phase anti-phase correlation spectra enabled interpretation of otherwise crowded Glx/Asx side-chain regions; and 3D NCACX experiments on [2-(13)C]glycerol samples provided unique sets of aromatic (Phe, Tyr, and Trp) correlations. Together with high-sensitivity CANCOCA 4D experiments and CANCOCX 3D experiments, unambiguous backbone walks could be performed throughout the majority of the sequence. At 189 residues, DsbA represents the largest monomeric unit for which essentially complete solid-state NMR assignments have so far been achieved. These results will facilitate studies of nanocrystalline DsbA structure and dynamics and will enable analysis of its 41-kDa covalent complex with the membrane protein DsbB, for which we demonstrate a high-resolution two-dimensional (13)C-(13)C spectrum.
Asunto(s)
Proteínas de Escherichia coli/química , Escherichia coli/enzimología , Espectroscopía de Resonancia Magnética/métodos , Proteína Disulfuro Isomerasas/química , Cristalización , Isótopos/metabolismo , Coloración y Etiquetado/métodosRESUMEN
Magic-angle spinning (MAS) solid-state NMR (SSNMR) spectroscopy of uniformly-(13)C,(15)N labeled protein samples provides insight into atomic-resolution chemistry and structure. Data collection efficiency has advanced remarkably in the last decade; however, the study of larger proteins is still challenged by relatively low resolution in comparison to solution NMR. In this study, we present a systematic analysis of SSNMR protein spectra acquired at 11.7, 17.6 and 21.1 Tesla ((1)H frequencies of 500, 750, and 900 MHz). For two protein systems--GB1, a 6 kDa nanocrystalline protein and DsbA, a 21 kDa nanocrystalline protein--line narrowing is demonstrated in all spectral regions with increasing field. Resolution enhancement is greatest in the aliphatic region, including methine, methylene and methyl sites. The resolution for GB1 increases markedly as a function of field, and for DsbA, resolution in the C-C region increases by 42%, according to the number of peaks that can be uniquely picked and integrated in the 900 MHz spectra when compared to the 500 MHz spectra. Additionally, chemical exchange is uniquely observed in the highest field spectra for at least two isoleucine C delta 1 sites in DsbA. These results further illustrate the benefits of high-field MAS SSNMR spectroscopy for protein structural studies.
Asunto(s)
Proteínas de Escherichia coli/química , Escherichia coli/enzimología , Magnetismo , Nanopartículas/química , Proteínas del Tejido Nervioso/química , Resonancia Magnética Nuclear Biomolecular/métodos , Proteína Disulfuro Isomerasas/química , Cristalografía por Rayos X , Metilación , Estructura Terciaria de ProteínaRESUMEN
Here we examine the effect of magic-angle spinning (MAS) rate upon lineshape and observed peak position for backbone carbonyl (C') peaks in NMR spectra of uniformly-(13)C,15N-labeled (U-(13)C,15N) solid proteins. 2D N-C' spectra of U-(13)C,15N microcrystalline protein GB1 were acquired at six MAS rates, and the site-resolved C' lineshapes were analyzed by numerical simulations and comparison to spectra from a sparsely labeled sample (derived from 1,3-(13)C-glycerol). Spectra of the U-(13)C,15N sample demonstrate large variations in the signal-to-noise ratio and peak positions, which are absent in spectra of the sparsely labeled sample, in which most 13C' sites do not possess a directly bonded 13CA. These effects therefore are a consequence of rotational resonance, which is a well-known phenomenon. Yet the magnitude of this effect pertaining to chemical shift assignment has not previously been examined. To quantify these effects in high-resolution protein spectra, we performed exact numerical two- and four-spin simulations of the C' lineshapes, which reproduced the experimentally observed features. Observed peak positions differ from the isotropic shift by up to 1.0 ppm, even for MAS rates relatively far (a few ppm) from rotational resonance. Although under these circumstances the correct isotropic chemical shift values may be determined through simulation, systematic errors are minimized when the MAS rate is equivalent to approximately 85 ppm for 13C. This moderate MAS condition simplifies spectral assignment and enables data sets from different labeling patterns and spinning rates to be used most efficiently for structure determination.
Asunto(s)
Resonancia Magnética Nuclear Biomolecular/métodos , Proteínas/químicaRESUMEN
The study of micro- or nanocrystalline proteins by magic-angle spinning (MAS) solid-state NMR (SSNMR) gives atomic-resolution insight into structure in cases when single crystals cannot be obtained for diffraction studies. Subtle differences in the local chemical environment around the protein, including the characteristics of the cosolvent and the buffer, determine whether a protein will form single crystals. The impact of these small changes in formulation is also evident in the SSNMR spectra; however, the changes lead only to correspondingly subtle changes in the spectra. Here, we demonstrate that several formulations of GB1 microcrystals yield very high quality SSNMR spectra, although only a subset of conditions enable growth of single crystals. We have characterized these polymorphs by X-ray powder diffraction and assigned the SSNMR spectra. Assignments of the 13C and 15N SSNMR chemical shifts confirm that the backbone structure is conserved, indicative of a common protein fold, but side chain chemical shifts are changed on the surface of the protein, in a manner dependent upon crystal packing and electrostatic interactions with salt in the mother liquor. Our results demonstrate the ability of SSNMR to reveal minor structural differences among crystal polymorphs. This ability has potential practical utility for studying the formulation chemistry of industrial and therapeutic proteins, as well as for deriving fundamental insights into the phenomenon of single-crystal growth.