The raw materials of protein structure are the detailed geometry and chemistry of the polypeptide and side chains plus the solvent environment. The end result is a complex tapestry of details organized into a biologically meaningful whole: a variation on one of a few harmonious themes of three-dimensional structure. For the purposes of prediction we are not concerned primarily with either of the endpoints of this process but with the logical connection between the two. Therefore, we summarize what is known of that logical connection into a set of guiding principles: hydrophobicity, hydrogen bonding, handedness, history, and the tension between hierarchy and interrelatedness. In addition, we consider particularly relevant features of the starting and ending states. However, one should bear in mind, as cartooned in Fig. 1, that our abilities to follow the protein through this remarkable transition are still rather limited in both the experimental and the theoritical realms.

Principles and Patterns of Protein Conformation

A high-precision solution structure of the elastase inhibitor eglin c was determined by NMR and distance geometry calculations. A large set of 947 nuclear Overhauser (NOE) distance constraints was identified, 417 of which were quantified from two-dimensional NOE spectra at short mixing times. In addition, a large number of homonuclear 1H-1H and heteronuclear 1H-15N vicinal coupling constants were used, and constraints on 42 chi 1 and 38 phi angles were obtained. Structure calculations were carried out using the distance geometry program DG-II. These calculations had a high convergence rate, in that 66 out of 75 calculations converged with maximum residual NOE violations ranging from 0.17 A to 0.47 A. The spread of the structures was characterized with average root mean square deviations ( ) between the structures and a mean structure. To calculate the unbiased toward any single structure, a new procedure was used for structure alignment. A canonical structure was calculated from the mean distances, and all structures were aligned relative to that. Furthermore, an angular order parameter S was defined and used to characterize the spread of structures in torsion angle space. To obtain an accurate estimate of the precision of the structure, the number of calculations was increased until the and the angular order parameters stabilized. This was achieved after approximately 40 calculations. The structure consists of a well-defined core whose backbone deviates from the canonical structure ca. 0.4 A, a disordered N-terminal heptapeptide whose backbone deviates by 0.8-12 A, and a proteinase-binding loop whose backbone deviates up to 3.0 A. Analysis of the angular order parameters and inspection of the structures indicates that a hinge-bending motion of the binding loop may occur in solution. Secondary structures were analyzed by comparison of dihedral angle patterns. The high precision of the structure allows one to identify subtle differences with four crystal structures of eglin c determined in complexes with proteinases.

https://www.onlinelibrary.wiley.com/doi/pdf/10.1002/pro.5560010606

The solution structure of eglin c based on measurements of many NOEs and coupling constants and its comparison with X-ray structures.

The crystal structures of the molecular complexes between two serine proteinases and two of their protein inhibitors have been determined: subtilisin Carlsberg with the recombinant form of eglin-c from the leech Hirudo medicinalis and subtilisin Novo with chymotrypsin inhibitor 2 from barley seeds. The structures have been fully refined by restrained-parameter least-squares methods to crystallographic R factors (sigma[[Fo[ - [Fc[[/sigma[Fo[) of 0.136 at 1.8-A resolution and 0.154 at 2.1-A resolution, respectively. The 274 equivalent alpha-carbon atoms of the enzymes superpose with an rms deviation of 0.53 A. Sequence changes between the enzymes result in localized structural adjustments. Functional groups in the active sites superpose with an rms deviation of 0.19 A for 161 equivalent atoms; this close similarity in the conformation of active-site residues provides no obvious reason for known differences in catalytic activity between Carlsberg and Novo. Conformational changes in the active-site region indicate a small induced fit of enzyme and inhibitor. Some conformational differences are observed between equivalent active-site residues of subtilisin Carlsberg and alpha-chymotrypsin. Despite differences in tertiary architecture, most enzyme-substrate (inhibitor) interactions are maintained. Subtilisin Carlsberg has a rare cis-peptide bond preceding Thr211 (Gly211 in Novo). Both enzymes contain tightly bound Ca2+ ions. Site 1 is heptacoordinate with the oxygen atoms at the vertices of a pentagonal bipyramid. Site 2 in Carlsberg is probably occupied by a K+ ion in Novo. Conserved water molecules appear to play important structural roles in the enzyme interior, in the inhibitor beta-sheet, and at the enzyme-inhibitor interface. The 62 equivalent alpha-carbon atoms of the inhibitors superpose with an rms deviation of 1.68 A. Sequence changes result in somewhat different packing of the alpha-helix, beta-sheet, and reactive-site loop relative to each other. Hydrogen bonds and electrostatic interactions supporting the conformation of the reactive-site loop are conserved. The 24 main-chain plus C beta atoms of P4 to P1' overlap with an rms deviation of 0.19 A. Features contributing to the inhibitory nature of eglin-c and CI-2 are discussed.

Structural comparison of two serine proteinase-protein inhibitor complexes: eglin-c-subtilisin Carlsberg and CI-2-subtilisin Novo.

A new strategy is used for studying the internal motions of proteins based on measurements of NMR relaxation parameters. The strategy yields values of the so-called spectral density functions J(omega) for N-H bond vectors. The spectral density functions are related to the distribution of frequencies contained in the rotational (overall and internal) motions of these NH bond vectors. No a priori model assumptions about the dynamics are required in this approach. The method involves measurements of six relaxation parameters consisting of 15N longitudinal relaxation rates, transverse relaxation rates of in-phase and antiphase coherence, the relaxation rates of heteronuclear 1H-15N two-spin order, the heteronuclear 1H-15N nuclear Overhauser effects, and longitudinal relaxation rates of the amide protons. The values of the spectral density functions at the five frequencies 0, omega N, omega H + omega N, omega H, and omega H - omega N are determined from the relaxation parameters using analytical relations derived previously [Peng & Wagner (1992) J. Magn. Reson. 98, 308-332]. Here, the method is applied to characterize the backbone dynamics of the 15N-enriched proteinase inhibitor eglin c, a protein of 70 residues. The values for J(0) and J(omega N = 50 MHz) vary significantly with the amino acid sequence, whereas the spectral densities at higher frequencies, J(450 MHz), J(500 MHz), and J(550 MHz), are typically much smaller and show no significant variation with the sequence. The collective behavior of the J(omega) values indicate greater internal motion for the proteinase binding loop residues and the first eight N-terminal residues. The additional internal motion in these regions is in the rate range below 450 MHz. The values of J(omega) are also compared with root mean square deviations (rmsds) of backbone atoms as obtained in NMR structure determinations. Low values of J(0) and J(omega N) are correlated with high rmsds. Spectral densities at higher frequencies, J(450 MHz), J(500 MHz), and J(550 MHz), are small and show no correlation with rmsds. A comparison with the spectral density functions obtained by fitting the experimental data to the functional dependence of the Lipari and Szabo formalism [Lipari & Szabo (1982a) J. Am. Chem. Soc. 104, 4546-4559] is made.

Mapping of the spectral densities of N-H bond motions in eglin c using heteronuclear relaxation experiments.

Triclinic crystals of the complex formed by eglin with subtilisin Carlsberg were analyzed by X-ray diffraction. The crystal and molecular structure of this complex was determined with data that extended to 0.12-nm resolution by a combination of Patterson search methods and isomorphous replacement techniques. Its structure was refined to a crystallographic R value of 0.178 (1.0-0.12 nm) using an energy-restraint least-squares procedure. The complete subtilisin molecule could be traced without ambiguity in the refined electron density. The eglin component, from which an amino-terminal segment is cleaved off, is only defined from Lys8I (i.e. the lysine residue 8 of the inhibitor) onwards. Per unit cell, 436 fixed solvent molecules and 2 calcium ions were located. In spite of 84 amino acid replacements and one deletion, subtilisin Carlsberg exhibits a very similar polypeptide fold to subtilisin BPN'. The root-mean-square deviations of all alpha-carbon atoms (excluding those at the deletion site) from models of subtilisin BPN' [Alden, R. A., Birktoft, J. J., Kraut, J., Robertus, J. D. & Wright, C. S. (1971) Biochem. Biophys. Res. Commun. 45, 337-344] and subtilisin Novo [Drenth, J., Hol, W. G. J., Jansonius, J. N. & Kockoek, R. (1972) Eur. J. Biochem. 25, 177-181] are 0.077 nm and 0.103 nm. Most of these deviations result from global shifts rather than changes of the local geometry. The single-residue deletion at position 56 affects only the surrounding conformation. Two sites of high electron density and close distances to surrounding oxygen ligands have been found in the Carlsberg enzyme which are probably occupied by calcium ions. Eglin consists of a twisted four-stranded beta-sheet flanked by an alpha-helix and by an exposed proteinase binding loop on opposite sides. Around the reactive site, Leu45I-Asp46I, this loop is mainly stabilized by electrostatic/hydrogen bond interactions with the side chains of two arginine residues which project from the hydrophobic core [Bode, W., Papamokos, E., Musil, D., Seemuller, W. & Fritz, H. (1986) EMBO J. 5, 813-818]. The reactive site loop conformation resembles that found in other 'small' proteinase inhibitors. The scissile peptide bond is not cleaved but its carbonyl group is slightly distorted from planar geometry. Most of the intermolecular contacts are contributed by the nine residues of the reactive-site loop Gly40I-Arg48I.(ABSTRACT TRUNCATED AT 400 WORDS)

https://febs.onlinelibrary.wiley.com/doi/pdf/10.1111/j.1432-1033.1987.tb13566.x

The high-resolution X-ray crystal structure of the complex formed between subtilisin Carlsberg and eglin c, an elastase inhibitor from the leech Hirudo medicinalis Structural analysis, subtilisin structure and interface geometry

https://febs.onlinelibrary.wiley.com/doi/pdf/10.1016/0014-5793%2885%2980873-5

C.A. McPhalen

Papers

Crystal and molecular structure of the inhibitor eglin from leeches in complex with subtilisin Carlsberg.