Refinement of the solution structure of the B DNA hexamer 5'd(C-G-T-A-C-G)2 on the basis of inter-proton distance data

A restrained least-squares refinement of the solution structure of the self-complementary B DNA hexamer 5'd(C-G-T-A-C-G)2 is presented. The structure is refined on the basis of 190 inter-proton distances determined by pre-steady-state nuclear Overhauser enhancement measurements. Two refinements were carried out starting from two initial B DNA structures differing by an overall root-mean-square (r.m.s.) difference of 0.32 A. In both cases, the final r.m.s. difference between the experimental and calculated inter-proton distances was 0.12 A compared to 0.61 A and 0.58 A for the two initial structures. The difference between the two refined structures is small, with an overall r.m.s. difference of 0.16 A, and represents the error in the refined co-ordinates. The refined structures have a B-type conformation with local structural variations in backbone and glycosidic bond torsion angles, and base-pair propellor twist, base roll, base tilt and local helical twist angles.     

Refinement of the solution structure of the DNA dodecamer 5'd(CGCGPATTCGCG)2 containing a stable purine-thymine base pair: combined use of nuclear magnetic resonance and restrained molecular dynamics

The solution structure of the self-complementary dodecamer 5'd(CGCGPATTCGCG)2, containing a purine-thymine base pair within the hexameric canonical recognition site GAATTC for the restriction endonuclease EcoRI, is investigated by nuclear magnetic resonance spectroscopy and restrained molecular dynamics. Nonexchangeable and exchangeable protons are assigned in a sequential manner. A set of 228 approximate interproton distance restraints are derived from two-dimensional nuclear Overhauser enhancement spectra recorded at short mixing times. These distances are used as the basis for refinement using restrained molecular dynamics in which the interproton distance restraints are incorporated into the total energy function of the system in the form of effective potentials. Eight calculations are carried out, four starting from classical A-DNA and four from classical B-DNA. In all cases convergence to very similar B-type structures is achieved with an average atomic root mean square (rms) difference between the eight converged structures of 0.7 +/- 0.2 A, compared to a value of 6.5 A for that between the two starting structures. It is shown that the introduction of the purine-thymine mismatch does not result in any significant distortion of the structure. The variations in the helical parameters display a clear sequence dependence. The variation in helix twist and propeller twist follows Calladine's rules and can be attributed to the relief of interstrand purine-purine clash at adjacent base pairs. Overall the structure is straight. Closer examination, however, reveals that the central 5 base pair steps describe a smooth bend directed toward the major groove with a radius of curvature of approximately 38 A, which is compensated by two smaller kinks in the direction of the minor groove at base pair steps 3 and 9. These features can be explained in terms of the observed variation in roll and slide.     

The structure of the double-stranded RNA pentamer 5'(CACAG) . 5'(CUGUG) determined by nuclear Overhauser enhancement measurements: interproton distance determination and structure refinement on the basis of X-ray coordinates

The structure in solution of the duplex RNA pentamer 5'(CACAG) . 5'(CUGUG), comprising the stem of the T psi C loop of yeast tRNAPhe, has been investigated by means of one- and two-dimensional nuclear Overhauser enhancement measurements. All non-exchangeable base and sugar proton resonances with the exception of the H5'/H5" sugar resonances are assigned in a sequential manner. From the relative intensities of the cross-peaks obtained in the pure-phase absorption two-dimensional nuclear Overhauser enhancement spectra at several mixing times, it is deduced that the RNA pentamer adopts an A-type conformation in solution. Cross-relaxation rates and interproton distances are determined from the time dependence of the nuclear Overhauser effects, principally by one-dimensional measurements. The structure of the RNA pentamer is then refined by restrained least-squares minimization on the basis of both distance and planarity restraints using fibre diffraction data as an initial model. The refined structure of the RNA pentamer is of the A type but exhibits local structural variations in glycosidic bond and backbone torsion angles as well as in propeller twist, base roll and base tilt angles.     

Structure refinement of oligonucleotides by molecular dynamics with nuclear Overhauser effect interproton distance restraints: application to 5' d(C-G-T-A-C-G)2

The solution structure of the self-complementary DNA hexamer 5' d(C-G-T-A-C-G)2 is refined by restrained molecular dynamics in which 192 interproton distances, determined from pre-steady-state nuclear Overhauser enhancement measurements, are incorporated into the total energy of the system in the form of effective potentials. First the method is tested by applying an idealized set of distance restraints taken from classical B-DNA to a simulation starting off from A-DNA and vice versa. It is shown that in both cases the expected transition between A- and B-DNA occurs. Second, a set of restrained molecular dynamics calculations is carried out starting from both A- and B-DNA with the experimental interproton distances for 5' d(C-G-T-A-C-G)2 as restraints. Convergence to the same B-type structure is achieved with the interproton distances equal to the measured values within experimental error. The root-mean-square atomic difference between the two average restrained dynamics structures (less than 1 A) is approximately the same as the root-mean-square fluctuations of the atoms.     

Three-dimensional structure in solution of barwin, a protein from barley seed.

The solution structure of a 125-residue basic protein, barwin, has been determined using 1H nuclear magnetic resonance spectroscopy. This protein is closely related to domains in proteins encoded by wound-induced genes in plants. Analysis of the 1H nuclear Overhauser spectrum revealed the assignment of more than 1400 nuclear Overhauser effects. Twenty structures were calculated based on 676 nontrivial distance restraints, 152 torsion angle restraints (92 phi, 56 chi 1, and 4 omega for proline), and stereospecific assignments of 38 chiral centers, using distance geometry, simulated annealing, and restrained energy minimization. None of the distance restraints was violated by more than 0.5 A in any of the 20 structures, and none of the torsion angle restraints was violated by more than 1 degree in any of the structures. The RMS difference between the calculated and target interproton distance restraints is 0.033 A, and the average atomic RMS differences between the 20 structures and their geometric average are 1.23 A for backbone atoms and 1.73 A for all heavy atoms. The dominating structural feature of the protein is a well-defined four-stranded antiparallel beta-sheet, two parallel beta-sheets packed antiparallel to each other and four short alpha-helices. The binding site of barwin to the tetramer N-acetylglucosamine has been qualitatively investigated, and the dissociation constant of the complex has been determined using one-dimensional 1H nuclear magnetic resonance spectroscopy.     

Refinement of the solution structure of the DNA decamer 5'd(CTGGATCCAG)2: combined use of nuclear magnetic resonance and restrained molecular dynamics

The solution structure of the self-complementary DNA decamer 5'd(CTGGATCCAG)2 comprising the specific target site for the restriction endonuclease BamH1 is investigated by using nuclear magnetic resonance sectroscopy and restrained molecular dynamics. With the exception of the H5'/H5" sugar proton resonances, all the nonexchangeable proton resonances are assigned sequentially by using pure-phase absorption two-dimensional nuclear Overhauser enhancement spectroscopy. From the time dependence of the nuclear Overhauser effects a set of 160 approximate interproton distances is determined and used as the basis of a structure refinement employing restrained molecular dynamics in which the interproton distances are incorporated into the total energy function of the system in the form of an effective potential term. Two restrained dynamics simulations are carried out, starting from classical B- and A-DNA [atomic root mean square (rms) difference 5.7 A]. In both cases convergence is achieved to very similar B-type structures with an atomic rms difference of 0.9 A which is comparable to the rms fluctuations of the atoms about their average positions. In addition, the rms difference between the experimental and calculated values of the interproton distances for both average restrained dynamics structures is approximately 0.3 A. These results suggest that the converged restrained molecular dynamics structures represent reasonable approximations of the solution structure. The average restrained dynamics structures exhibit clear sequence-dependent variations of torsion angles and helical parameters. In addition, the structures exhibit a small bend of around 10-20 degrees at the second (TpG) and eighth (CpA) base pair steps. This can be attributed to the positive base roll angles and large base pair slide values at the two Pyr-Pur steps. The central core of the decamer comprising the six-base recognition site for BamH1 (GGATCC), however, is straight.     

Refinement of the solution structure of the DNA hexamer 5'd(GCATGC)2: combined use of nuclear magnetic resonance and restrained molecular dynamics

The solution structure of the self-complementary DNA hexamer 5'd(GCATGC)2 comprising the specific target site for the restriction endonuclease Sph 1 is investigated by using nuclear magnetic resonance spectroscopy and restrained molecular dynamics. All the nonexchangeable proton resonances are assigned sequentially, and from time-dependent nuclear Overhauser enhancement measurements a set of 158 approximate interproton distances are determined. These distances are used as the basis of a structure refinement using restrained molecular dynamics in which the interproton distances are incorporated into the total energy function of the system in the form of an effective potential term. Two restrained molecular dynamics simulations are carried out, starting from classical B- and A-DNA [atomic root mean square (rms) difference 3.3 A]. In both cases convergence is achieved to essentially identical structures satisfying the experimental restraints and having a root mean square difference of only 0.3 A between them, which is within the rms fluctuations of the atoms about their average positions. These results suggest that the restrained molecular dynamics structures represent reasonable approximations of the solution structure. The converged structures are of the B type and exhibit clear sequence-dependent variations of helical parameters, some of which follow Calladine's rules and can be attributed to the relief of interstrand purine-purine clash at adjacent base pairs. In addition, the converged restrained dynamics structures appear bent with a radius of curvature of approximately 20 A. This bending appears to be due almost entirely to the large positive base roll angles, particularly at the Pyr-Pur steps. Further, the global and local helix axes are not coincident, and the global helix axis represents a superhelical axis which the bent DNA, when extended into an "infinite" helix by repeated translation and rotation, wraps around.     

Determination of three-dimensional structures of proteins by simulated annealing with interproton distance restraints. Application to crambin, potato carboxypeptidase inhibitor and barley serine proteinase inhibitor 2

An automated method, based on the principle of simulated annealing, is presented for determining the three-dimensional structures of proteins on the basis of short (less than 5 A) interproton distance data derived from nuclear Overhauser enhancement (NOE) measurements. The method makes use of Newton's equations of motion to increase temporarily the temperature of the system in order to search for the global minimum region of a target function comprising purely geometric restraints. These consist of interproton distances supplemented by bond lengths, bond angles, planes and soft van der Waals repulsion terms. The latter replace the dihedral, van der Waals, electrostatic and hydrogen-bonding potentials of the empirical energy function used in molecular dynamics simulations. The method presented involves the implementation of a number of innovations over our previous restrained molecular dynamics approach [Clore, G.M., Brünger, A.T., Karplus, M. and Gronenborn, A.M. (1986) J. Mol. Biol., 191, 523-551]. These include the development of a new effective potential for the interproton distance restraints whose functional form is dependent on the magnitude of the difference between calculated and target values, and the design and implementation of robust and fully automatic protocol. The method is tested on three systems: the model system crambin (46 residues) using X-ray structure derived interproton distance restraints, and potato carboxypeptidase inhibitor (CPI; 39 residues) and barley serine proteinase inhibitor 2 (BSPI-2; 64 residues) using experimentally derived interproton distance restraints. Calculations were carried out starting from the extended strands which had atomic r.m.s. differences of 57, 38 and 33 A with respect to the crystal structures of BSPI-2, crambin and CPI respectively. Unbiased sampling of the conformational space consistent with the restraints was achieved by varying the random number seed used to assign the initial velocities. This ensures that the different trajectories diverge during the early stages of the simulations and only converge later as more and more interproton distance restraints are satisfied. The average backbone atomic r.m.s. difference between the converged structures is 2.2 +/- 0.3 A for crambin (nine structures), 2.4 +/- 0.3 A for CPI (eight structures) and 2.5 +/- 0.2 A for BSPI-2 (five structures). The backbone atomic r.m.s. difference between the mean structures derived by averaging the coordinates of the converged structures and the corresponding X-ray structures is 1.2 A for crambin, 1.6 A for CPI and 1.7 A for BSPI-2.     

Analysis of the relative contributions of the nuclear Overhauser interproton distance restraints and the empirical energy function in the calculation of oligonucleotide structures using restrained molecular dynamics

The relative contributions of the interproton distance restraints derived from nuclear Overhauser enhancement measurements and of the empirical energy function in the determination of oligonucleotide structures by restrained molecular dynamics are investigated. The calculations are based on 102 intraresidue and 126 interresidue interproton distance restraints derived from short mixing time two-dimensional nuclear Overhauser enhancement data on the dodecamer 5'd(CGCGPATTCGCG)2 [Clore, G.M., Oschkinat, H., McLaughlin, L.W., Benseler, F., Scalfi Happ, C., Happ, E., & Gronenborn, A.M. (1988) Biochemistry 27, 4185-4197]. Eight interproton distance restraint lists were made up with errors ranging from -0.1/+0.2 to -1.2/+1.3 A for r less than 2.5 A and from -0.2/+0.3 to -1.3/+1.4 A for r greater than or equal to 2.5 A. These restraints were incorporated into the total energy function of the system in the form of square-well potentials with force constants set sufficiently high to ensure that the deviations between calculated distances and experimental restraints were very small (average interproton distance rms deviation of less than 0.06 A). For each data set, six calculations were carried out, three starting from classical A-DNA and three from classical B-DNA. The results show that structural changes occurring during the course of restrained molecular dynamics and the degree of structural convergence are determined by the interproton distance restraints. All the structures display similar small deviations from idealized geometry and have the same values for the nonbonding energy terms comprising van der Waals, electrostatic, and hydrogen-bonding components. Thus, the function of the empirical energy function is to maintain near perfect stereochemistry and nonbonded interactions.(ABSTRACT TRUNCATED AT 250 WORDS)     

The determination of the three-dimensional structure of barley serine proteinase inhibitor 2 by nuclear magnetic resonance, distance geometry and restrained molecular dynamics

The solution structure of the 64 residue structured domain (residues 20-83) of barley serine proteinase inhibitor 2 (BSPI-2) is determined on the basis of 403 interproton distance, 34 phi backbone torsion angle and 26 hydrogen bonding restraints derived from n.m.r. measurements. A total of 11 converged structures were computed using a metric matrix distance geometry algorithm and refined by restrained molecular dynamics. The average rms difference between the final 11 structures and the mean structure obtained by averaging their coordinates is 1.4 +/- 0.2 A for the backbone atoms and 2.1 +/- 0.1 A for all atoms. The overall structure, which is almost identical to that found by X-ray crystallography, is disc shaped and consists of a central four component mixed parallel and antiparallel beta-sheet flanked by a 13 residue alpha-helix on one side and the reactive site loop on the other.     

Determination of the three-dimensional solution structure of barnase using nuclear magnetic resonance spectroscopy

The solution conformation of the ribonuclease barnase has been determined by using 1H nuclear magnetic resonance (NMR) spectroscopy. The 20 structures were calculated by using 853 interproton distance restraints obtained from analyses of two-dimensional nuclear Overhauser spectra, 72 phi and 53 chi 1 torsion angle restraints, and 17 hydrogen-bond distance restraints. The calculated structures contain two alpha-helices (residues 6-18 and 26-34) and a five-stranded antiparallel beta-sheet (residues 50-55, 70-75, 85-91, 94-101, and 105-108). The core of the protein is formed by the packing of one of the alpha-helices (residues 6-18) onto the beta-sheet. The average RMS deviation between the calculated structures and the mean structure is 1.11 A for the backbone atoms and 1.75 A for all atoms. The protein is least well-defined in the N-terminal region and in three large loops. When these regions are excluded, the average RMS deviation between the calculated structures and the mean structure for residues 5-34, 50-56, 71-76, 85-109 is 0.62 A for the backbone atoms and 1.0 A for all atoms. The NMR-derived structure has been compared with the crystal structure of barnase [Mauguen et al. (1982) Nature (London) 297, 162-164].     

Three-dimensional structure of potato carboxypeptidase inhibitor in solution. A study using nuclear magnetic resonance, distance geometry, and restrained molecular dynamics

The solution conformation of potato carboxypeptidase inhibitor (CPI) has been investigated by 1H NMR spectroscopy. The spectrum is assigned in a sequential manner by using two-dimensional NMR techniques to identify through-bond and through-space (less than 5 A) connectivities. A set of 309 approximate interproton distance restraints is derived from the two-dimensional nuclear Overhauser enhancement spectra and used as the basis of a three-dimensional structure determination by a combination of metric matrix distance geometry and restrained molecular dynamics calculations. A total of 11 converged distance geometry structures were computed and refined by using restrained molecular dynamics. The average atomic root mean square (rms) difference between the final 11 structures and the mean structure obtained by averaging their coordinates is 1.4 +/- 0.3 A for residues 2-39 and 0.9 +/- 0.2 A for residues 5-37. The corresponding values for all atoms are 1.9 +/- 0.3 and 1.4 +/- 0.2 A, respectively. The larger values for residues 2-38 relative to those for residues 5-37 arise from the fact that the positions of the N- (residues 1-4) and C- (residues 38-39) terminal tails are rather poorly determined, whereas those of the core of the protein (residues 5-37) are well determined by the experimental interproton distance data. The computed structures are very close to the X-ray structure of CPI in its complex with carboxypeptidase, and the backbone atomic rms difference between the mean of the computed structures and the X-ray structure is only 1.2 A. Nevertheless, there are some real differences present which are evidenced by significant deviations between the experimental upper interproton distance limits and the corresponding interproton distances derived from the X-ray structure. These principally occur in two regions, residues 18-20 and residues 28-30, the latter comprising part of the region of secondary contacts between CPI and carboxypeptidase in the X-ray structure.     

Application of a genetic algorithm in the conformational analysis of methylene-acetal-linked thymine dimers in DNA: Comparison with distance geometry calculations

The three-dimensional spatial structure of a methylene-acetal-linked thymine dimer presentin a 10 base-pair (bp) sense–antisense DNA duplex was studied with a geneticalgorithm designed to interpret NOE distance restraints. Trial solutions were represented bytorsion angles. This means that bond angles for the dimer trial structures are kept fixed duringthe genetic algorithm optimization. Bond angle values were extracted from a 10 bpsense–antisense duplex model that was subjected to energy minimization by means ofa modified AMBER force field. A set of 63 proton–proton distance restraints definingthe methylene-acetal-linked thymine dimer was available. The genetic algorithm minimizesthe difference between distances in the trial structures and distance restraints. A largeconformational search space could be covered in the genetic algorithm optimization byallowing a wide range of torsion angles. The genetic algorithm optimization in all cases ledto one family of structures. This family of the methylene-acetal-linked thymine dimer in theduplex differs from the family that was suggested from distance geometry calculations. It isdemonstrated that the bond angle geometry around the methylene-acetal linkage plays animportant role in the optimization.     

The influence of stereospecific assignments on the determination of three-dimensional structures of proteins by nuclear magnetic resonance spectroscopy. Application to the sea anemone protein BDS-I

The influence of the stereospecific assignments of beta-methylene protons and the classification of chi 1 torsion angles on the definition of the three-dimensional structures of proteins determined from NMR data is investigated using the sea anemone protein BDS-I (43 residues) as a model system. Two sets of structures are computed. The first set comprises 42 converged structures (denoted STEREO structures) calculated on the basis of the complete list of restraints derived from the NMR data, consisting of 489 interproton and 24 hydrogen bonding distance restraints, supplemented by 23 phi backbone and 21 chi 1 side chain torsion angle restraints. The second set comprises 31 converged structures (denoted NOSTEREO structures) calculated from a reduced data set in which those restraints arising from stereospecific assignments, and the corresponding chi 1 torsion angle restraints, are explicitly omitted. The results show that the inclusion of the stereospecific restraints leads to a significant improvement in the definition of the structure of BDS-I, both with respect to the backbone and the detailed arrangement of the side chains. Average atomic rms differences between the individual structures and the mean structures for the backbone atoms are 0.67 +/- 0.12 A and 0.93 +/- 0.16 A for the STEREO and NOSTEREO structures, respectively; the corresponding values for all atoms are 0.90 +/- 0.17 A and 1.17 +/- 0.17 A, respectively. In addition, while the overall fold remains unchanged, there is a small but significant atomic displacement between the two sets of structures.     

Three-dimensional solution structure of an insulin dimer. A study of the B9(Asp) mutant of human insulin using nuclear magnetic resonance, distance geometry and restrained molecular dynamics.

The solution structure of the B9(Asp) mutant of human insulin has been determined by two-dimensional 1H nuclear magnetic resonance spectroscopy. Thirty structures were calculated by distance geometry from 451 interproton distance restraints based on intra-residue, sequential and long-range nuclear Overhauser enhancement data, 17 restraints on phi torsional angles obtained from 3JH alpha HN coupling constants, and the restraints from 17 hydrogen bonds, and the three disulphide bridges. The distance geometry structures were optimized using restrained molecular dynamics (RMD) and energy minimization. The average root-mean-square deviation for the best 20 RMD refined structures is 2.26 A for the backbone and 3.14 A for all atoms if the less well-defined N and C-terminal residues are excluded. The helical regions are better defined, with root-mean-square deviation values of 1.11 A for the backbone and 2.03 A for all atoms. The data analysis and the calculations show that B9(Asp) insulin, in water solution at the applied pH (1.8 to 1.9), is a well-defined dimer with no detectable difference between the two monomers. The association of the two monomers in the solution dimer is relatively loose as compared with the crystal dimer. The overall secondary and tertiary structures of the monomers in the 2Zn crystal hexamer is found to be preserved. The conformation-averaged NMR structures obtained for the monomer is close to the structure of molecule 1 in the hexamer of the 2Zn insulin crystal. However, minor, but significant deviations from this structure, as well as from the structure of monomeric insulin in solution, exist and are ascribed to the absence of the hexamer and crystal packing forces, and to the presence of monomer-monomer interactions, respectively. Thus, the monomer in the solution dimer shows a conformation similar to that of the crystal monomer in molecular regions close to the monomer-monomer interface, whereas it assumes a conformation similar to that of the solution structure of monomeric insulin in other regions, suggesting that B9(Asp) insulin adopts a monomer-like conformation when this is not inconsistent with the monomer-monomer arrangement in the dimer.     

Refinement of the solution structure of the ribonucleotide 5'r(GCAUGC)2: combined use of nuclear magnetic resonance and restrained molecular dynamics

The solution structure of the self-complementary hexamer 5'r(GCAUGC)2 is investigated by means of nuclear magnetic resonance spectroscopy and restrained molecular dynamics. The proton resonances are assigned in a sequential manner, and a set of 110 approximate interproton distance restraints are derived from the two-dimensional nuclear Overhauser enhancement spectra. These distances are used as the basis of a structure refinement by restrained molecular dynamics in which the experimental restraints are incorporated into the total energy function of the system in the form of effective potentials. Eight restrained molecular dynamics simulations are carried out, four starting from a structure with regular A-type geometry and four from one with regular B-type geometry. The atomic root mean square (rms) difference between the initial structures is 3.2 A. In the case of all eight simulations, convergence is achieved both globally and locally to a set of very similar A-type structures with an average atomic rms difference between them of 0.8 +/- 0.2 A. Further, the atomic rms differences between the restrained dynamics structures obtained by starting out from the same initial structures but with different random number seeds for the assignment of the initial velocities are the same as those between the restrained dynamics structures starting out from the two different initial structures. These results suggest that the restrained dynamics structures represent good approximations of the solution structure. The converged structures exhibit clear sequence-dependent variation in some of the helical parameters, in particular helix twist, roll, slide, and propellor twist.(ABSTRACT TRUNCATED AT 250 WORDS)     

Application of molecular dynamics with interproton distance restraints to three-dimensional protein structure determination. A model study of crambin

The applicability of restrained molecular dynamics for the determination of three-dimensional protein structures on the basis of short interproton distances (less than 4 A) that can be realistically determined from nuclear magnetic resonance measurements in solution is assessed. The model system used is the 1.2 A resolution crystal structure of the 46 residue protein crambin, from which a set of 240 approximate distance restraints, divided into three ranges (2.5 +/- 0.5, 3.0+0.5(-1.0) and 4 +/- 1 A), is derived. This interproton distance set comprises 159 short-range ([i-j] less than or equal to 5) and 56 ([i-j] greater than 5) long-range inter-residue distances and 25 intra-residue distances. Restrained molecular dynamics are carried out using a number of different protocols starting from two initial structures: a completely extended beta-strand; and an extended structure with two alpha-helices in the same positions as in the crystal structure (residues 7 to 19, and 23 to 30) and all other residues in the form of extended beta-strands. The root-mean-square (r.m.s.) atomic differences between these two initial structures and the crystal structure are 43 A and 23 A, respectively. It is shown that, provided protocols are used that permit the secondary structure elements to form at least partially prior to folding into a tertiary structure, convergence to the correct final structure, both globally and locally, is achieved. The r.m.s. atomic differences between the converged restrained dynamics structures and the crystal structure range from 1.5 to 2.2 A for the backbone atoms and from 2.0 to 2.8 A for all atoms. The r.m.s. atomic difference between the X-ray structure and the structure obtained by first averaging the co-ordinates of the converged restrained dynamics structures is even smaller: 1.0 A for the backbone atoms and 1.6 A for all atoms. These results provide a measure with which to judge future experimental results on proteins whose crystal structures are unknown. In addition, from an examination of the dynamics trajectories, it is shown that the convergence pathways followed by the various simulations are different.     

Determination of three-dimensional structures of proteins from interproton distance data by dynamical simulated annealing from a random array of atoms. Circumventing problems associated with folding

A new real space method, based on the principles of simulated annealing, is presented for determining protein structures on the basis of interproton distance restraints derived from NMR data. The method circumvents the folding problem associated with all real space methods described to date, by starting from a completely random array of atoms and introducing the force constants for the covalent, interproton distance and repulsive van der Waals terms in the target function appropriately. The system is simulated at high temperature by solving Newton's equations of motion. As the values of all force constants are very low during the early stages of the simulation, energy barriers between different folds of the protein can be overcome, and the global minimum of the target function is reliably located. Further, because the atoms are initially only weakly coupled, they can move essentially independently to satisfy the restraints. The method is illustrated using two examples of small proteins, namely crambin (46 residues) and potato carboxypeptidase inhibitor (39 residues).     

Determination of the spatial structure of insectotoxin 15A from Buthus erpeus by (1)H-NMR spectroscopy data]

The solution structure of insectotoxin 15A (35 residues) from scorpion Buthus eupeus was determined on the basis of 386 interproton distance restraints 12 hydrogen-bonding restraints and 113 dihedral angle restraints derived from 1H NMR experiments. A group of 20 structures was calculated with the distance geometry program DIANA followed by the restrained energy minimization with the program CHARMM. The atomic RMS distribution about the mean coordinate position is 0.64 +/- 0.11 A for the backbone atoms and 1.35 +/- 0.20 A for all atoms. The structure contains an alpha-helix (residues 10-20) and a three-stranded antiparallel beta-sheet (residues 2-5, 24-28 and 29-33). A pairing of the eight cysteine residues of insectotoxin 15A was established basing on NMR data. Three disulfide bridges (residues 2-19, 16-31 and 20-33) connect the alpha-helix with the beta-sheet, and the fourth one (5-26) joins beta-strands together. The spatial fold of secondary structure elements (the alpha-helix and the beta-sheet) of the insectotoxin 15A is very similar to those of the other short and long scorpion toxins in spite of a low (about 20%) sequence homology.