Biomedical subjects

D A Langs

Publications and source records attributed to D A Langs.

At least 19 recordsLinked to original sources

PubMed1997

On integrating the techniques of direct methods with anomalous dispersion. IV. A simplified perturbation treatment for SAS phasing.

Results from probabilistic theory for the single-wavelength anomalous-scattering (SAS) Friedel pair, two-phase structure invariants, psi H = phi H + phi-H, are used to show that the SAS three-phase structure invariants, psi HK = phi H + phi K + phi-H-K, tend to positive values that are easily estimated. Appropriate averages of the estimates provide SAS perturbation corrections in the form of positive origin shifts for the probability distribution of psi HK values and for the tangent formula. The theoretical probabilistic results are verified by empirical statistical analyses of model-calculated phases and experimentally measured structure-factor magnitudes for a small-molecule and a protein crystal structure.

Chemistry, Physical↗

PubMed1996

Molecular structure and mechanisms of action of cyclic and linear ion transport antibiotics.

Ionophores are antibiotics that induce ion transport across natural and artificial membranes. The specific function of a given ionophore depends upon its selectivity and the kinetics of ion capture, transport, and release. Systematic studies of complexed and uncomplexed forms of linear and cyclic ionophores provide insight into molecular mechanisms of ion capture and release and the basis for ion selectivity. The cyclic dodecadepsipeptide valinomycin, cyclo[(-L-Val-D-Hyi-D-Val-L-Lac)3-], transports potassium ions across cellular membrane bilayers selectively. The x-ray crystallographic and nmr spectroscopic data concerning the structures of Na+, K+, and Ba+2 complexes are consistent and provide a rationale for the K+ selectivity of valinomycin. Three significantly different conformations of valinomycin are observed in anhydrous crystals, in hydrated crystals grown from dimethylsulfoxide, and in crystals grown from dioxane. Each of these conformations suggests a different mechanism of ion capture. One of the observed conformations has an elliptical structure stabilized by four 4<--1 intramolecular hydrogen bonds and two 5<--1 hydrogen bonds. Ion capture could be readily achieved by disruption of the 5<--1 hydrogen bonds to permit coordination to a potassium ion entering the cavity. The conformation found in crystals obtained from dimethyl sulfoxide is an open flower shape having three petals and three 4<--1 hydrogen bonds. Complexation could proceed by a closing up of the three petals of the flower around the desolvating ion. In the third form, water molecules reside in the central cavity of a bracelet structure having six 4<--1 hydrogen bonds. Two of these bracelets stack over one another with their valine-rich faces surrounding a dioxane molecule. The stacked molecules form a channel approximately 20 A in length, suggesting that under certain circumstances valinomycin might function as a channel. A series of analogues of valinomycin differing in ring composition and size have been synthesized and their transport properties tested. Peptide substitution and chiral variation in the dodecadepsipeptide can result in stabilization or modification of the different conformers. While contraction of the ring size results in loss of ion transport properties, expansion of the ring size permits complexation of larger ions and small positively charged molecules. Gramicidin A is a pentadecapeptide that functions as a transmembrane channel for transporting monovalent cations. Crystal structures of the cesium chloride complex and two uncomplexed forms of gramicidin A have been reported. In all three structures the gramicidin A molecule is a left-handed, antiparallel, double-stranded helical dimer. In the cesium complex the beta 7.2-helix has 6.4 residues per turn with an internal cavity large enough to accommodate cesium ions. In the uncomplexed structures the channel is 31 A long and has 5.6 amino acids per turn. Because the helix is too tightly wound to permit ion transport, ion transport would require breaking and reforming of hydrogen bonds.

Amino Acid Sequence↗

PubMed1995

Use of globic scattering factors for protein structures at low resolution.

At 3 to 4 A resolution, the electron density of a protein may be modeled by a continuous chain of 'globs' representing the amide region of the peptide backbone and the side-chain residues. Group scattering factors are derived from a trans planar C alpha C = ONC alpha backbone segment and most favored side-chain conformer for 18 different amino acids. Trial calculations indicate that the phase error and crystallographic residual comparing the atomic and 'globic' models rapidly decrease from high to low resolution. At 3 A resolution, the phase error is approximately 80 degrees. These results indicate that the electron density of a protein composed of N amino acid residues may be adequately modeled by 2N globs at low resolution.

Amino Acids↗

PubMed1995

TDSIR phasing: direct use of phase-invariant distributions in macromolecular crystallography.

A new strategy for employing three phase triples invariant estimates from Hauptman's single isomorphous replacement (SIR) and anomalous dispersion (SAS) joint probability distribution formulae is outlined which produces a single unique phase-invariant solution in the case where the positions of the heavy-atom scatterers is known. A similar but non-identical result is obtained for the phase invariants of a structure for which a molecular-replacement solution has been obtained. It is important to note that the values of the individual native/derivative phases can be determined directly from the probability distribution formulae without having to utilize the phase-invariant estimates in an active way. Elimination of the multisolution aspect of utilizing phase-invariant estimates should have important repercussions with regard to phasing macromolecular sets of derivatized data. Trial calculations based on experimentally measured 2.5 A data for three derivatives of cytochrome c550 are encouraging. The average of the three SIR maps resolves a number of structural ambiguities seen in the published multiple isomorphous replacement (MIR) map obtained from eight derivatives.

Crystallography, X-Ray↗

PubMed1995

Efficient methods for the linearization and solution of phase-invariant equations.

This paper describes a linear least-squares procedure, whereby, through quadrupole relationships, the 2 pi integers that linearize sets of unique phase-invariant estimates can be determined. It is subsequently shown that the phase solutions for these linear equations can be obtained, even for basis sets of thousands of phases, without having to either build or invert the full least-squares matrix. The final r.m.s. phase errors achieved by this method can typically be less that 5 or 10 degrees.

Algorithms↗

PubMed1995

Use of the minimal function for partial structure development in direct methods.

The shake-and-bake procedure, which is based on the minimal function, has been tested and shown to be extremely effective in molecular-fragment recycling applications. Correctly positioned fragments as small as 5% of the scattering power of the structure typically have a 50% chance of producing a solution in a single recycling trial. While starting models for tangent-formula recycling methods normally require an average r.m.s. displacement error of less than approximately 0.25 A from the refined structure to ensure an adequate chance of success, the shake-and-bake method often tolerates r.m.s. model errors well in excess of 0.5 A. Tests indicate that the new method can outperform traditional tangent-formula procedures in difficult structural applications involving multiple copies of pseudosymmetrically related molecules or low-resolution data.

Cholesterol Esters↗

PubMed1995

Crystal and molecular structure of the centrosymmetric meso-valinomycin analogue--cyclo (D-Val-D-Hyi-D-Val-L-Hyi-L-Val-D-Hyi-L-Val-L-Hyi-L-Val-D-Hyi-D-Val-L-Hy i) (C60H102N6O18).

The crystal structure of cyclo (D-Val-D-Hyi-D-Val-L-Hyi-L-Val-D-Hyi-L-Val-L-Hyi -L-Val-D-Hyi-D-Val-L-Hyi).2H2O has been solved by x-ray direct methods. The crystals (grown from a mixture of octane/CH2Cl2) are an orthorhombic, centrosymmetric space group Pbca, cell parameters a = 11.458 (2), b = 25.613 (3), c = 23.691 (3) A, Z = 4; therefore the molecule lies on a center of inversion in the cell. The atomic coordinates for the C, N, and O atoms were refined in the anisotropic thermal motion approximation (allowing for H-atom contribution to Fcal) to a standard R-factor value of 0.081. In contrast to meso-valinomycin, the analogue under study does not adopt an octahedral cage bracelet conformation. It has an unusual centrosymmetric elongated form with two type II terminal beta-bends formed by N-H ... C=O 4-->1 type intramolecular H bonds. Two symmetry-related water molecules reside in the elongated molecular cavity of the centrosymmetric depsipeptide ring.

Crystallization↗

PubMed1995

[Crystalline and molecular structure of the K+-complex of meso-valinomycin, cyclo(-(D-Val-L-Hyi-L-Val-D-Hyi)3-).KAuCl4].

Crystal structure of the complex of meso-valinomycin with KAuCl4 (C60H102N6O18KAuCl4) was determined using direct X-ray diffraction analysis. The conformational state of the complex is similar to that determined earlier for free meso-valinomycin. Characteristic of it is the centrosymmetric bracelet shape stabilized by six intramolecular NH...OC hydrogen bonds of 4 --> 1 type. The K+ ion is located in an inner negatively charged octahedral cavity formed by six carbonyl oxygen atoms of ester groups. The observed differences in conformational angles of the complex and free are caused by readjustment of the geometry of the ion-binding cavity to the size of the ion bound during complexation.

Amino Acid Sequence↗

PubMed1994

C-glycosyl bond conformation in oxazofurin: crystallographic and computational studies of the oxazole analogue of tiazofurin.

Oxazofurin is the inactive oxazole analogue of the C-glycosyl thiazole antitumor agent tiazofurin. Replacement of the thiazole sulfur in tiazofurin with the oxazole oxygen in oxazofurin produces conformational effects that are examined using crystallographic and computational methods. The crystal structure of oxazofurin contains six molecules in the asymmetric unit and has been refined to a standard R value of 6.8% for all data. The six oxazofurin conformers show an average C-glycosidic torsion angle of 70(9) degrees. This value is significantly higher than the average absolute C-glycosidic torsion angle of 24(10) degrees obtained from previous thiazole nucleoside structures. Previous studies suggest that, in tiazofurin, an electrostatic interaction between a positively charged thiazole sulfur and negatively charged furanose oxygen constrains the C-glycosidic torsion angle to a relatively small value. Ab initio molecular orbital studies presented here suggest that the higher C-glycosidic angles observed in the oxazofurin structures result from a repulsive interaction between negatively charged oxazole and furanose oxygens. Thus, it is likely that differences in activity between oxazo- and tiazofurin are either (1) due directly to differences in electronic properties between the thiazole and oxazole rings or (2) due to the variation in C-glycosidic bond conformation resulting from the alteration in the charge distribution of the heterocycle.

Antineoplastic Agents↗

PubMed1994

Crystal structure of cholesteryl butanoate at 123 K.

Cholesteryl butanoate has a complex crystal structure that differs from those of the three main structure type for cholesteryl esters. It contains four molecules (C31H52O2) unrelated by crystal symmetry. The molecules are packed in almost planar sheets and have molecular long axes nearly parallel. However, the molecules have different orientations about their long axes and furthermore, in a given sheet, one of the independent molecules is antiparallel to the other three. Viewed down the molecular long axes, each molecule has six nearest neighbors, but the detailed environment is different for the four independent molecules. Thus the molecular arrangement has features that are characteristic of the short-range order present in the cholesteric mesophase. The monotropic transformation from the crystalline to the cholesteric phase occurs at 98 degrees C. The crystal structure has been accurately determined using 12,146 independent X-ray reflections having sin theta/lambda < 0.63 A-1. All hydrogen atoms were located from a difference Fourier and were included in a refinement that gave R(F2) = 0.064. The C-C bond lengths have sigma = 0.003 A and C-C-C bond angles have sigma = 0.2 degrees. Conformations for the steroid ring system are similar but there are differences in the C17 side chains and the butanoate chains of the four independent molecules. Analysis of atomic m.s. displacement tensors using a segmented-body model indicates that there are internal librations involving both the C17 and butanoate chains in all molecules.

Cholesterol Esters↗

PubMed1993

Frequency statistical method for evaluating cosine invariants of three-phase relationships.

A new variation on the established procedure to evaluate three-phase structure invariants through quadrupole relationships is described. This method differs from earlier algebraic formulations in that the cosine-invariant estimates are based on a conditional observed frequency distribution of magnitude of E magnitudes for the quadrupole, rather than on the values of the magnitudes themselves. Successful applications of this method to a number of structures that ranged in size from 84 to 317 independent non-hydrogen light atoms are given.

Crystallography↗

PubMed1993

On the application of the minimal principle to solve unknown structures.

The Shake-and-Bake method of structure determination is a new direct methods phasing algorithm based on a minimum-variance, phase invariant residual, which is referred to as the minimal principle. Previously, the algorithm had been applied only to known structures. This algorithm has now been applied to two previously unknown structures that contain 105 and 110 non-hydrogen atoms, respectively. This report focuses on (i) algorithmic and parametric optimizations of Shake-and-Bake and (ii) the determination of two previously unknown structures. Traditional tangent formula phasing techniques were unable to unravel these two new structures.

Algorithms↗

PubMed1993

Molecular structures of two crystalline forms of the cyclic heptapeptide antibiotic ternatin, cyclo[-beta-OH-D-Leu-D-Ile-(NMe)Ala-(NMe)Leu-Leu-(NMe)Ala-D-(NMe)Ala-].

The crystal structures of two solvated forms of ternatin, cyclo[-beta-OH-D-Leu-D-Ile-(NMe)Ala-(NMe)Leu-Leu-(NMe)Ala-D-(NMe)Ala-] are reported. The first crystallizes with two molecules of peptide and one of dioxane in the asymmetric unit: P2(1)2(1)2(1), a = 11.563(1), b = 21.863(2), c = 36.330(4) A. The second crystallizes with two molecules of peptide and one of water in the asymmetric unit: P2(1)2(1)2(1), a = 14.067(2), b = 16.695(1), c = 36.824(6) A. N-Methylation of four of the seven residues of ternatin appears to reduce the number of low-energy conformations the molecule can assume. The same H-bonded macrocyclic ring conformation is adopted by the backbone of each of the four molecules observed here. All the amino-acid side chains, with the exception of D-Ile2, have similar orientations in each of the four conformers. The heptapeptide macrocycle is characterized by: (i) a cis peptide between (NMe)Ala3 and (NMe)Leu4, (ii) a type II beta-bend, involving residues Leu5-(NMe)Ala6-D-(NMe)Ala7-beta-OH-D-Leu1, stabilized by two H-bonds, N1-->O5 and N5-->O1, between Leu5 and beta-OH-D-Leu1 residues, (iii) a third intramolecular H-bond, observed in each of the four molecules, between the hydroxyl group of beta-OH-D-Leu1 and the carbonyl oxygen of D-Ile2.

Amino Acid Sequence↗

PubMed1992

An efficient molecular-replacement translation function based on the evaluation of direct-methods phase invariants.

Traditional molecular-replacement translation functions are based on direct- or reciprocal-space correlations between the observed diffraction amplitudes and the calculated amplitudes and phases of the symmetry-related molecular transforms of the search fragment as a function of the displacement vector. An alternative method that has been described is based on evaluating a list of phase invariants as a function of the position of the search model in the unit cell and seeking those regions which satisfy the expectation value of these invariants as predicted by probability theory. As originally formulated, this procedure required the iterative computation of the phases and the evaluation of the list of invariants as the search model was stepped over the grid points defining the asymmetric portion of the unit cell. A new computational procedure is described whereby the values of the invariants are expressed solely as a function of the displacement vector r as a Fourier series that can be evaluated by a standard fast Fourier transform (FFT) without having to compute and insert the values of the phases based on the search model at each grid point.

Crystallization↗

PubMed1992

Molecular structure of cyclo[-(D-Val-L-Hyi-L-Val-D-Hyi)2-] revealed by x-ray analysis.

The crystal structure of a synthetic analogue of valinomycin, cyclo[-(D-Val-L-Hyi-L-Val-D-Hyi)2-] (octa-meso-valinomycin) (I) (C40H68N4O12.1.5.C4H8O2, M(r) = 937.01 + 88.10), has been determined. Crystals grown from dioxane are monoclinic, space group P2(1)/a, with cell parameters a = 21.487 (8), b = 16.836 (5), c = 16.089 (4) A, beta = 111.70 (4), and Z = 4. The atomic coordinates for nonhydrogen atoms were refined in the anisotropic thermal motion approximation. H atom positions were included in the structure factor calculations at their geometrically expected positions. Values of the standard and weighted R factors after refinement are 0.11 and 0.13, respectively. The conformation of the depsipeptide crystallized from dioxane is different from that crystallized from chloroform (II). The molecule adopts a rectangular shape with two type IV beta-turns containing a hydrogen bond and possesses pseudorotational symmetry. The side chains are located on the molecular periphery. The orientation of the carbonyl groups of the molecule is not conducive for efficient metal-ion coordination and in the observed conformation cannot behave as an ionophore. In the crystal the molecules form infinite chains parallel to the c axis, and are stabilized by two intermolecular hydrogen bonds that are shorter and have better geometry than the intramolecular hydrogen bonds. A phi/psi plot for dodecadepsipeptides with a (DLLD)3 sequence has well-defined areas for Val and Hyi residues only in cases when the crystals have been grown from nonpolar or medium-polar solvents. The phi/psi plot for octadepsipeptides crystallized from chloroform (II) shows this behavior also.(ABSTRACT TRUNCATED AT 250 WORDS)

Amino Acid Sequence↗

PubMed1992

Crystal and molecular structure of the depsipeptide ionophore hexadecaisoleucinomycin, cyclo-[(D-Ile-L-Lac-L-Ile-D-Hyi)4-] (C80H136N8O24).

The crystal structure of a synthetic depsipeptide ionophore hexadecaisoleucinomycin, cyclo [-(D-Ile-L-Lac-L-Ile-D-Hyi)4-] (C80H136N8O24), has been determined by single crystal x-ray diffraction techniques. The crystals are orthorhombic, space group P2(1)2(1)2(1), number of molecules per unit cell z = 4, and cell parameters a = 11,195, b = 17.853, c = 54.835 A. The values of the standard (R) and weighted (Rw) discrepancy factors after refinement are 0.122 and 0.135, respectively. The structure is characterized by an elongated bracelet form with a twofold axis of pseudosymmetry. It is stabilized by eight intramolecular 4----1 hydrogen bonds between the amide C = O and N - H groups. The ester carbonyls are directed toward the inside of the molecule, their oxygen atoms forming an ellipsoidal internal cavity. The side chains are located on the molecular periphery. The conformational states of hexadecaisoleucinomycin in solution are discussed in the light of the data obtained.

Amino Acid Sequence↗

PubMed1992

Crystal structure of valinomycin-monohydrate cage complexes crystallized from dioxane.

Valinomycin, cyclo-[(L-Val-D-Hyv-D-Val-L-Lac)3-], was crystallized from aqueous dioxane solvent as a monohydrate complex in which water molecules were found within the ion-binding cavity of the ionophore: monoclinic P2(1), a = 14.377 (3), b = 41.554 (14), c = 14.080 (3) A, beta = 118.27 (2) degrees, Z = 4. There are two non-equivalent valinomycin-water complexes and three dioxane molecules in the asymmetric unit. The ionophore molecules adopt two similar but non-identical, octahedral, bracelet, cage conformations that are a consequence of two distinct ways in which the complexed water molecules can deform the normal octahedral coordinate geometry of the metal binding site. In the first complex the water molecule forms hydrogen donor bonds to the carbonyl oxygens of two L-valine residues on one facial side of the cavity, while in the second complex the water molecule is trigonal-planar coordinate and binds to two L-valine residues on one entrant face of the cavity plus a third D-valine residue from the opposite side of the cavity.

Binding Sites↗

PubMed1991

The direct determination of phase invariants provided by diffraction data measured at two different temperatures.

A procedure is described for the determination of the crystal structure phase invariants of a compound based on diffraction data measured at two different temperatures. This temperature difference replacement (TDR) technique is shown to provide phase-invariant information from experimentally measured X-ray diffraction data for two different test structures. Although the new method does not appear to be as powerful as single-derivative isomorphous replacement (SIR) phasing, it does appear to be capable of reliably determining a limited number of negative as well as positive phase-restricted invariants for structures containing as many as 300 non-H atoms in the asymmetric unit.

Amino Acid Sequence↗