Hydrogen exchange in native and denatured states of hen egg-white lysozyme.

The hydrogen exchange kinetics of 68 individual amide protons in the native state of hen lysozyme have been measured at pH 7.5 and 30 degrees C by 2D NMR methods. These constitute the most protected subset of amides, with exchange half lives some 10(5)-10(7) times longer than anticipated from studies of small model peptides. The observed distribution of rates under these conditions can be rationalized to a large extent in terms of the hydrogen bonding of individual amides and their burial from bulk solvent. Exchange rates have also been measured in a reversibly denatured state of lysozyme; this was made possible under very mild conditions, pH 2.0 35 degrees C, by lowering the stability of the native state through selective cleavage of the Cys-6-Cys-127 disulfide cross-link (CM6-127 lysozyme). In this state the exchange rates for the majority of amides approach, within a factor of 5, the values anticipated from small model peptides. For a few amides, however, there is evidence for significant retardation (up to nearly 20-fold) relative to the predicted rates. The pattern of protection observed under these conditions does not reflect the behavior of the protein under strongly native conditions, suggesting that regions of native-like structure do not persist significantly in the denatured state of CM6-127 lysozyme. The pattern of exchange rates from the native protein at high temperature, pH 3.8 69 degrees C, resembles that of the acid-denatured state, suggesting that under these conditions the exchange kinetics are dominated by transient global unfolding. The rates of folding and unfolding under these conditions were determined independently by magnetization transfer NMR methods, enabling the intrinsic exchange rates from the denatured state to be deduced on the basis of this model, under conditions where the predominant equilibrium species is the native state. Again, in the case of most amides these rates showed only limited deviation from those predicted by a simple random coil model. This reinforces the view that these denatured states of lysozyme have little persistent residual order and contrasts with the behavior found for compact partially folded states of proteins, including an intermediate detected transiently during the refolding of hen lysozyme.     

T4溶菌酶晶体分子堆积的研究

以不对称单位中只有一个分子的１０种不同晶型的Ｔ４溶菌酶晶体为材料,对晶体中的分子堆积进行了研究,结果表明,在溶剂含量较高的晶型中,非极性基团在接触面积中所占的比例略高于溶剂含量较低的晶型,而其极性和带电荷基团在接触面积中所占的比例略低于溶剂含量较低的晶型。溶剂含量较高的晶型多含有晶体学二重轴,二重轴相关的分子间的接触与其他接触相比,含有较少的极性相互作用。这些结果说明溶剂含量的高低可能是由不同结晶     

Structure of crambin in solution, crystal and in the trajectories of molecular dynamics simulations

The mechanisms of the three-dimensional crambin structure alterations in the crystalline environments and in the trajectories of the molecular dynamics simulations in the vacuum and crystal surroundings have been analyzed. In the crystalline state and in the solution the partial regrouping of remote intramolecular packing contacts, involved in the formation and stabilization of the tertiary structure of the crambin molecule, occurs in NMR structures. In the crystalline state it is initiated by the formation of the intermolecular contacts, the conformational influence of its appearance is distributed over the structure. The changes of the conformations and positions of the residues of the loop segments, where the intermolecular contacts of the crystal surroundings are preferably concentrated, are most observable. Under the influence of these contacts the principal change of the regular secondary structure of crambin is taking place: extension of the two-strand β structure to the three-strand structure with the participation of the single last residue N46 of the C-terminal loop. In comparison with the C-terminal loop the more profound changes are observed in the conformation and the atomic positions of the backbone atoms and in the solvent accessibility of the residues of the interhelical loop. In the solution of the ensemble of the 8 NMR structures relative accessibility to the solvent differs more noticeably also in the region of the loop segments and rather markedly in the interhelical loop. In the crambin cryogenic crystal structures the positions of the atoms of the backbone and/or side chain of 14–18 of 46 residues are discretely disordered. The disorganizations of at least 8 of 14 residues occur directly in the regions of the intermolecular contacts and another 5 residues are disordered indirectly through the intramolecular contacts with the residues of the intermolecular contacts. Upon the molecular dynamics simulation in the vacuum surrounding as in the solution of the crystalline structure of crambin the essential changes of the backbone conformation are caused by the intermolecular contacts absence, but partly masked by the structure changes owing to the nonpolar H atoms absence on the simulated structure. The intermolecular contact absence is partly manifested upon the molecular dynamics simulation of the crambin crystal with one protein molecule. Compared to the crystal structure the lengths of the interpeptide hydrogen bonds and other interresidue contacts in an average solution NMR structure are somewhat shorter and accordingly the energy of the interpeptide hydrogen bonds is better. This length shortening can occur at the stage of the refinement of the NMR structures of the crambin and other proteins by its energy minimizations in the vacuum surroundings and not exist in the solution protein structures.     

Hydrogen exchange of lysozyme powders. Hydration dependence of internal motions

The rate of exchange of the labile hydrogens of lysozyme was measured by out-exchange of tritium from the protein in solution and from powder samples of varied hydration level, for pH 2, 3, 5, 7, and 10 at 25 degrees C. The dependence of exchange of powder samples on the level of hydration was the same for all pHs. Exchange increased strongly with increased hydration until reaching a rate of exchange that is constant above 0.15 g of H2O/g of protein (120 mol of H2O/mol of protein). This hydration level corresponds to coverage of less than half the protein surface with a monolayer of water. No additional hydrogen exchange was observed for protein powders with higher water content. Considered in conjunction with other lysozyme hydration data [Rupley, J. A., Gratton, E., & Careri, G. (1983) Trends Biochem. Sci. (Pers. Ed.) 8, 18-22], this observation indicates that internal protein dynamics are not strongly coupled to surface properties. The use of powder samples offers control of water activity through regulation of water vapor pressure. The dependence of the exchange rate on water activity was about fourth order. The order was pH independent and was constant from 114 to 8 mol of hydrogen remaining unexchanged/mol of lysozyme. These results indicate that the rate-determining step for protein hydrogen exchange is similar for all backbone amides and involves few water molecules. Powder samples were hydrated either by isopiestic equilibration, with a half-time for hydration of about 1 h, or by addition of solvent to rapidly reach final hydration. Samples hydrated slowly by isopiestic equilibration exhibited more exchange than was observed for samples of the same water content that had been hydrated rapidly by solvent addition. This difference can be explained by salt and pH effects on the nearly dry protein. Such effects would be expected to contribute more strongly during the isopiestic equilibration process. Solution hydrogen exchange measurements made for comparison with the powder measurements are in good agreement with published data. Rank order was proven the same for all pHs by solution pH jump experiments. The effect of ionic strength on hydrogen exchange was examined at pH 2 and pH 5 for protein solutions containing up to 1.0 M added salt. The influence of ionic strength was similar for both pHs and was complex in that the rate increased, but not monotonically, with increased ionic strength.     

Comparison of hydrogen exchange rates for bovine pancreatic trypsin inhibitor in crystals and in solution.

Hydrogen exchange rate constants for the 17 slowest exchanging amide NH groups in bovine pancreatic trypsin inhibitor (BPTI) were measured in solution and in form II and form III crystals. All 17 amide hydrogens are buried and intramolecularly hydrogen bonded in the crystal structure, except Lys 41 which is buried and hydrogen bonded to a buried water. Large-scale crystallization procedures were developed for these experiments, and rate constants for both crystal and solution exchange were measured by 1H NMR spectroscopy of exchange-quenched samples in solution. Two conditions of pH and temperature, pH 9.8 and 35 degrees C, and pH 9.4 and 25 degrees C, bring two groups of hydrogens into the experimental time window (minutes to weeks). One consists of the 10 slowest exchanging hydrogens, all of which are associated with the central beta-sheet of BPTI. The second group consists of seven more rapidly exchanging hydrogens, which are distributed throughout the molecule, primarily in a loop or turn. In both groups, most hydrogens exchange more slowly in crystals, but there is considerable variation in the degree to which the exchange is depressed in crystals. Many differences observed for the more rapidly exchanging hydrogens can be attributed to local surface effects arising from intermolecular contacts in the crystal lattice. Within the slower group, however, a very large effect on exchange of Ile 18 and Tyr 35 appears to be selectively transmitted through the matrix of the molecule.(ABSTRACT TRUNCATED AT 250 WORDS)     

Nature of lysozyme-water interactions by proton NMR.

Proton spin-lattice relaxation measurements were performed in 10 mM lysozyme solution as a function of temperature and degree of substitution of solvent H2O with D2O. The results show that in the temperature range from 274 to 323 K, the intermolecular lysozyme proton water proton coupling contributes appreciably to the observed water proton relaxation rate. In this system exchange between water protons and labile protein protons does not dominate the behaviour with temperature of the water-lysozyme intermolecular contribution to the spin-lattice relaxation.     

Dissecting the hydrogen exchange properties of insulin under amyloid fibril forming conditions: a site-specific investigation by mass spectrometry

We have examined the hydrogen exchange properties of bovine insulin under solution conditions that cause it to aggregate and eventually form amyloid fibrils. The results have been obtained at the residue-specific level using peptic digestion and mass spectrometry. A total of 19 peptides were assigned to regions of the protein and their exchange properties monitored for a period of 24 hours. The results of the peptic digestion show that residues A13 to A21 and B11 to B30 are more susceptible to proteolysis than the N-terminal regions of the protein. A total of 15 slowly exchanging amides were observed for insulin under these solution conditions. Location of the protected amides was carried out using a peptic-digestion protocol at low pH. Chromatographic separation was not required. This enabled a direct comparison of the peptides within the same mass spectrum. From kinetic analysis of the rates slow exchange has been located to 4(+/-1) backbone amides in the A13-A19 helix and 6(+/-1) in the B chain helix. The remaining 5(+/-1) are assigned to helix A2-A8. Taken together the results from digestion and hydrogen exchange show that at low pH and relatively high concentrations the C termini of both chains are susceptible to proteolysis but that the solution structure contains the native state helices. More generally the results demonstrate that mass spectrometry can be applied to study site-specific hydrogen exchange properties of proteins even under conditions where they are known to be partially folded and aggregate extensively in solution.     

Shape evolution and thermal stability of lysozyme crystals: effect of pH and temperature

The properties of crystalline protein materials are closely linked to crystal shape. However, the effective strategies for the shape control of protein crystals are lacking. The conventional sitting-drop vapor-diffusion method was employed to investigate the influence of pH and temperature on the crystal nucleation behavior of hen egg white lysozyme. Moreover, the size distributions of protein crystals grown at different conditions were analyzed. Differential scanning calorimetry was employed to evaluate the thermal stability of lysozyme crystals. The results indicated that pH and temperature will affect the supersaturation and electrostatic interactions among protein molecules in the nucleation process. In particular, the crystals with different aspect ratios can be selectively nucleated, depending upon the choice of pH and temperature. Therefore, this study provided a simple method for obtaining shape-controlled lysozyme crystals and supplied some information on thermal behaviors of lysozyme crystals grown at different pH values.     

Lysozyme crystal growth, as observed by small angle X-ray scattering, proceeds without crystallization intermediates

A combination of small angle X-ray scattering and gel techniques was used to follow the kinetics of protein crystal growth as a function of time. Hen egg white lysozyme, at different protein concentrations, was used as a model system. A new sample holder was designed, in which supersaturation is induced in the presence of salt by decreasing the temperature. It had been shown previously that a decrease in temperature and/or an increase in crystallizing agent induces an increase in the attractive interactions present in the lysozyme solutions, the lysozyme remaining monomeric. In the present paper we show that similar behaviour is observed in NaCl when agarose gels are used. During crystal growth, special attention was paid to determine whether oligomers were formed as the protein in solution was incorporated in the newly formed crystals. From these first series of experiments, we did not find any indication of oligomer formation between monomer in solution and crystal. The results obtained are in agreement with the hypothesis that lysozyme crystals in NaCl grow by addition of monomeric particles. Received: 28 July 1997 / Revised version: 4 December 1997 / Accepted: 5 December 1997     

Correlation between calculated local stability and hydrogen exchange rates in proteins

The attempt is made to find new correlations between local structural characteristics of proteins and the hydrogen exchange rates of their individual main-chain amides, and to relate such correlations to possible mechanisms of hydrogen exchange. It is found that in bovine pancreatic trypsin inhibitor (BPTI) the surface area buried by a particular residue and its neighbors correlates with the exchange rate of the main-chain amide of that residue. As the area buried by a particular fragment can be associated with the stabilization of the protein structure by this fragment, the correlation suggests a role for the energetics of the local unfolding in the mechanism of hydrogen exchange. Calculations based on the assumption that the exchange mechanism involves local unfolding lead to quantitative agreement between the calculated and experimentally measured exchange rates for 80% of the amides of BPTI that are buried or hydrogen bonded to the main-chain or to internal water molecules. The same degree of correlation is found between the calculated exchange rates and partial exchange data for ribonuclease S, hen lysozyme and cytochrome c. A similarly strong correlation is found between calculated exchange rates and the exchange rates of ribonuclease A determined by neutron diffraction in the crystal. The criteria of correlation are, however, less stringent in this case because of the experimental errors, which are larger than for solution data. It is suggested that the observed correlation be used for predictions of hydrogen exchange rates in proteins.     

Perfect hemihedral twinning in crystals of the γ-subunit of translation initiation factor 2 from <Emphasis Type="Italic">Sulfolobus solfataricus</Emphasis>: Cause and effect

The crystal structure of the γ-subunit of translation initiation factor 2 from the archaeon Sulfolobus solfataricus (SsoIF2γ) has been solved based on perfectly hemihedral twinned data. The protein was cocrystallized with the 10-fold molar excess of GTP analog (GDPCP) over protein. However, no nucleotide was found in the structure, and the model demonstrated the apo form of the protein. Two slightly different molecules in the asymmetric unit of the crystal are related by the non-crystallographic 2-fold axis and form a tightly associated dimer. This dimer is stabilized by an intermolecular hydrophobic core and hydrogen bonds. Lack of GDPCP in the nucleotide-binding pocket of the γ-subunit and significant excess of dimers over monomers in the crystallization solution suggest that these dimers are the building blocks of the crystal. Contrary to SsoIF2γ monomers, these dimers are able to crystallize in two oppositely oriented slightly different crystal domains, thus forming a twinned crystal. Comparison of crystallization conditions for the twinned and untwinned crystals of apo SsoIF2γ showed that stabilization of the dimers in the solution may be caused by higher sodium salt concentration. Since amino acid residues involved in intermolecular contacts in the dimer are responsible for binding of the γand α-subunits within SsoIF2, increase in sodium salt concentration may prevent functioning of SsoIF2 in the cell.     

Sequential 1H NMR assignments and secondary structure of hen egg white lysozyme in solution

Assignments for 1H NMR resonances of 121 of the 129 residues of hen egg white lysozyme have been obtained by sequence-specific methods. Spin systems were identified with phase-sensitive two-dimensional (2-D) correlated spectroscopy and single and double relayed coherence transfer spectroscopy. For key types of amino acid residues, particularly alanine, threonine, valine, and glycine, complete spin systems were identified. For other residues a less complete definition of the spin system was found to be adequate for the purpose of sequential assignment. Sequence-specific assignments were achieved by phase-sensitive 2-D nuclear Overhauser enhancement spectroscopy (NOESY). Exploitation of the wide range of hydrogen exchange rates found in lysozyme was a useful approach to overcoming the problem of spectral overlap. The sequential assignment was built up from 21 peptide segments ranging in length from 2 to 13 residues. The NOESY spectra were also used to provide information about the secondary structure of the protein in solution. Three helical regions and two regions of beta-sheet were identified from the NOESY data; these regions are identical with those found in the X-ray structure of hen lysozyme. Slowly exchanging amides are generally correlated with hydrogen bonding identified in the X-ray structure; a number of exceptions to this general trend were, however, found. The results presented in this paper indicate that highly detailed information can be obtained from 2-D NMR spectra of a protein that is significantly larger than those studied previously.     

Structural studies of mutants of T4 lysozyme that alter hydrophobic stabilization

Multiple replacements at amino acid position 3 of bacteriophage T4 lysozyme have shown that the conformational stability of the protein is directly governed by the hydrophobicity of the residue substituted (Matsumura, M., Becktel, W. J., and Matthews, B. W. (1988) Nature 334, 406-410). Of the 13 mutant lysozymes made by site-directed mutagenesis, two variants, one with valine (I3V) and the other with tyrosine (I3Y), were crystallized and their structures solved. In this report we describe the crystal structures of these variants at 1.7 A resolution. While the structure of the I3V mutant is essentially the same as that of wild-type lysozyme, the I3Y mutant has substantial changes in its structure. The most significant of these are that the side chain of the tyrosine is not accommodated within the interior of the protein and the amino-terminal polypeptide (residues 1-9) moves 0.6-1.1 A relative to the wild-type structure. Using coordinates based on the wild-type and available mutant structures, solvent accessible surface area of residue 3 as well as the adjacent 9 residues in the folded form were calculated. The free energy of stabilization based on the transfer of these residues from a fully extended form to the interior to the folded protein was found to correlate well with the protein stability determined by thermodynamic analysis. The enhanced thermostability of the variant Ile-3----Leu, relative to wild-type lysozyme, can also be rationalized by surface-area calculations based on a model-built structure. Noncrystallization of most lysozyme variants at position 3 appears to be due to disruption of intermolecular contacts in the crystal. The Ile-3----Val variant is closely isomorphous with wild-type and maintains the same crystal contacts. In the Ile-3----Tyr variant, however, a new set of contacts is made in which direct protein-protein hydrogen bonds are replaced by protein-water-protein hydrogen bonds as well as a novel hydrogen bond involving the phenolic hydroxyl of the substituted tyrosine.     

Secondary structure and hydrogen bonding of crambin in solution. A two-dimensional NMR study

The secondary structure of crambin in solution has been determined using two-dimensional NMR and is found to be essentially identical to that of the crystal structure. The H-D exchange of most amide protons can be accounted for in terms of the hydrogen bonds found in the X-ray structure. Exceptions are the amide protons of Cys-4 and Ser-6, which exchange more slowly than expected, and of Asn-46 for which the exchange is faster. These results might be explained by a slightly different conformation of the C-terminal region of the protein in solution. The slow exchange of the amides of Cys-32 and Glu-23 might be due to aggregation involving an extremely hydrophobic part of the protein in solution.     

Detection and characterization of an early folding intermediate of T4 lysozyme using pulsed hydrogen exchange and two-dimensional NMR.

Two-dimensional 1H-15N NMR techniques combined with pulsed hydrogen-deuterium exchange have been used to characterize the folding pathway of T4 lysozyme. In the unfolded state, there is little differential protection of the various amides from hydrogen exchange. In the native folded structure, 84 amides of the 164 residues are sufficiently spectrally resolved and protected from solvent exchange to serve as probes of the folding pathway. These probes are located in both the N-terminal and C-terminal domains of the native folded structure of the protein. The studies described here show that at least one intermediate is formed early during refolding at low denaturant concentrations. This intermediate (or intermediates) forms very rapidly (within the 10-ms temporal resolution of our mixing device) under the conditions used and is completed at least 10 times faster than the overall folding event. The intermediate(s) protect(s) from exchange a subset of amides in the N-terminal and C-terminal regions of the protein. In the final folded states these protected regions correspond to two alpha-helices and a beta-sheet region. These amides are protected from exchange by factors between 20 and 200 as compared to the fully unfolded protein. Protection of this magnitude is consistent with the formation of somewhat exposed secondary structure in these regions and could represent a "molten globule"-like or a "framework"-like structure for the intermediate(s) in which specific parts of the sequence form isolated secondary structures that are not stabilized by extensive tertiary interactions.     

1H NMR studies of human lysozyme: spectral assignment and comparison with hen lysozyme

Complete main-chain (NH and alpha CH) 1H NMR assignments are reported for the 130 residues of human lysozyme, along with extensive assignments for side-chain protons. Analysis of 2-D NOESY experiments shows that the regions of secondary structure for human lysozyme in solution are essentially identical with those found previously in a similar study of hen lysozyme and are in close accord with the structure of the protein reported previously from X-ray diffraction studies in the crystalline state. Comparison of the chemical shifts, spin-spin coupling constants, and hydrogen exchange behavior are also consistent with closely similar structures for the two proteins in solution. In a number of cases specific differences in the NMR parameters between hen and human lysozymes can be correlated with specific differences observed in the crystal structures.     

Crystallographic studies of protein denaturation and renaturation. 1. Effects of denaturants on volume and X-ray pattern of cross-linked triclinic lysozyme crystals

Triclinic crystals of hen egg-white lysozyme cross-linked with glutaraldehyde have been treated with various denaturants and found to be susceptible to x-ray structure analysis even after major conformational changes in the protein. Cross-linked crystals were isomorphous with the native form, and electron density difference maps indicated the locations of intermolecular corss-links, but showed no appreciable differences in the protein conformation. Soaking of the cross-linked crystals in danaturant solutions of increasing concentrations caused corresponding increases in crystal volume and decreases in minimum observable x-ray spacings. These changes proved partly reversible on diluting the solutions, and measurements of crystal volume and minimums x-ray spacing were used to follow denaturation and renaturation as a function of concentration for several denaturants. Some of these, including bromoethanol and sodium dodecyl sulfate, had little effect on the crystals below critical concentrations at which there was a sharp volume increase and loss of x-ray pattern, which could, however, be regenerated to about 3.2-A resolution. Others, including KCNS and urea, caused more gradual changes, but with a smaller degree of recovery. It is suggested that at least two different denaturation mechanisms are involved with detergent-like reagents disrupting the hydrophobic interactions joining the two wings of the lysozyme molecule and hydrophilic denaturants interacting primarily with polar groups on the molecular surface.     

Projection structure of the bacterial oxalate transporter OxlT at 3.4A resolution

OxlT is a bacterial transporter protein with 12 transmembrane segments that belongs to the Major Facilitator Superfamily of transporters. It facilitates the exchange of oxalate and formate across the membrane of the Gram-negative bacterium Oxalobacter formigenes. From an electron crystallographic analysis of two-dimensional, tube-like crystals of OxlT, we have previously determined the three-dimensional structure of this transporter at 6.5 A resolution. Here, we report conditions to obtain crystalline, two-dimensional sheets of OxlT with diameters exceeding 2 microm. Images of the crystalline sheets were recorded at liquid nitrogen temperatures on a transmission electron microscope equipped with a field-emission gun, operated at 300 kV. Computed optical diffraction patterns from the best images display measurable reflections to about 3.4A, and electron diffraction patterns show spots to about 3.2 A resolution in the best cases. As in the case of the tube-like crystals, the new crystalline sheets also belong to the p22(1)2(1) symmetry group. However, the unit cell dimensions of 102.7A x 67.3 A are significantly smaller in one direction than those previously observed with the tube-like crystals that display unit cell dimensions of 100.3A x 79.0 A. Different regions of OxlT are involved in intermolecular contacts in the two types of crystals, and the improved resolution of the sheet crystals appears to be mainly attributable to this tighter packing of the monomers within the unit cell.     

pH and urea dependence of amide hydrogen-deuterium exchange rates in the beta-trefoil protein hisactophilin.

Amide hydrogen/deuterium exchange rates were measured as a function of pH and urea for 37 slowly exchanging amides in the beta-trefoil protein hisactophilin. The rank order of exchange rates is generally maintained under different solution conditions, and trends in the pH and urea dependence of exchange rates are correlated with the rank order of exchange rates. The observed trends are consistent with the expected behavior for exchange of different amides via global and/or local unfolding. Analysis of the pH dependence of exchange in terms of rate constants for structural opening and closing reveals a wide range of rates in different parts of the hisactophilin structure. The slowest exchanging amides have the slowest opening and closing rates. Many of the slowest exchanging amides are located in trefoil 2, but there are also some slow exchanging amides in trefoils 1 and 3. Slow exchangers tend to be near the interface between the beta-barrel and the beta-hairpin triplet portions of this single-domain structure. The pattern of exchange behaviour in hisactophilin is similar to that observed previously in interleukin-1 beta, indicating that exchange properties may be conserved among beta-trefoil proteins. Comparisons of opening and closing rates in hisactophilin with rates obtained for other proteins reveal clear trends for opening rates; however, trends in closing rates are less apparent, perhaps due to inaccuracies in the values used for intrinsic exchange rates in the data fitting. On the basis of the pH and urea dependence of exchange rates and optical measurements of stability and folding, EX2 is the main exchange mechanism in hisactophilin, but there is also evidence for varying levels of EX1 exchange at low and high pH and high urea concentrations. Equilibrium intermediates in which subglobal portions of structure are cooperatively disrupted are not apparent from analysis of the urea dependence of exchange rates. There is, however, a strong correlation between the Gibbs free energy of opening and the denaturant dependence of opening for all amides, which suggests exchange from a continuum of states with different levels of structure. Intermediates are not very prominent either in equilibrium exchange experiments or in quenched-flow kinetic studies; hence, hisactophilin may not form partially folded states as readily as IL-1 beta and other beta-trefoil proteins.