Biomedical subjects

T A Cross

Publications and source records attributed to T A Cross.

At least 19 recordsLinked to original sources

PubMed2006

PIPATH: an optimized algorithm for generating alpha-helical structures from PISEMA data.

An optimized algorithm for finding structures and assignments of solid-state NMR PISEMA data obtained from alpha-helical membrane proteins is presented. The description of this algorithm, PIPATH, is followed by an analysis of its performance on simulated PISEMA data derived from synthetic and experimental structures. pipath transforms the assignment problem into a path-finding problem for a directed graph, and then uses techniques of graph theory to efficiently find candidate assignments from a very large set of possibilities.

Algorithms↗

PubMed2006

Intensity and mosaic spread analysis from PISEMA tensors in solid-state NMR.

The solid-state NMR experiment PISEMA, is a technique for determining structures of proteins, especially membrane proteins, from oriented samples. One method for determining the structure is to find orientations of local molecular frames (peptide planes) with respect to the unit magnetic field direction, B0. This is done using equations that compute the coordinates of this vector in the frames. This requires an analysis of the PISEMA function and its degeneracies. As a measure of the sensitivity of peptide plane orientations to the data, we use these equations to derive a formula for the intensity function in the powder pattern. With this function and other measures, we investigate the effect of small changes in peptide plane orientations depending on the location of the resonances in the powder pattern spectrum. This gives us an indication of the change in lineshape due to mosaic spread and a way to interpret these in terms of an orientational error bar.

Ion Channels↗

PubMed2005

Ultra-wide bore 900 MHz high-resolution NMR at the National High Magnetic Field Laboratory.

Access to an ultra-wide bore (105 mm) 21.1 T magnet makes possible numerous advances in NMR spectroscopy and MR imaging, as well as novel applications. This magnet was developed, designed, manufactured and tested at the National High Magnetic Field Laboratory and on July 21, 2004 it was energized to 21.1 T. Commercial and unique homebuilt probes, along with a standard commercial NMR console have been installed and tested with many science applications to develop this spectrometer as a user facility. Solution NMR of membrane proteins with enhanced resolution, new pulse sequences for solid state NMR taking advantage of narrowed proton linewidths, and enhanced spatial resolution and contrast leading to improved animal imaging have been documented. In addition, it is demonstrated that spectroscopy of single site (17)O labeled macromolecules in a hydrated lipid bilayer environment can be recorded in a remarkably short period of time. (17)O spectra of aligned samples show the potential for using this data for orientational restraints and for characterizing unique details of cation binding properties to ion channels. The success of this NHMFL magnet illustrates the potential for using a similar magnet design as an outsert for high temperature superconducting insert coils to achieve an NMR magnet with a field >25 T.

Image Enhancement↗

PubMed2004

2D solid state NMR spectral simulation of 3(10), alpha, and pi-helices.

Transmembrane helices are more uniform in structure than similar helices in water soluble proteins. Solid state NMR of aligned bilayer samples is being increasingly used to characterize helical membrane protein structures. Traditional spectroscopic methods have difficulty distinguishing between helices with i to i + 3 (3(10)), i to i + 4 (alpha), and i to i + 5 (pi) hydrogen bonding topology. Here, we show that resonance patterns in PISEMA spectra simulated for these different helices show unique and striking features. The size and shape of these Polar Index Slant Angle (PISA) wheels, as well as the resonances per turn and clockwise versus counter-clockwise sequential connectivity of the resonances demonstrate how these different helical structures, if present as a uniform structure, will be readily distinguished, and characterized.

Computer Simulation↗

PubMed2004

Structural restraints and heterogeneous orientation of the gramicidin A channel closed state in lipid bilayers.

Although there have been several decades of literature illustrating the opening and closing of the monovalent cation selective gramicidin A channel through single channel conductance, the closed conformation has remained poorly characterized. In sharp contrast, the open-state dimer is one of the highest resolution structures yet characterized in a lipid environment. To shift the open/closed equilibrium dramatically toward the closed state, a lower peptide/lipid molar ratio and, most importantly, long-chain lipids have been used. For the first time, structural evidence for a monomeric state has been observed for the native gramicidin A peptide. Solid-state NMR spectroscopy of single-site (15)N-labeled gramicidin in uniformly aligned bilayers in the L(alpha) phase have been observed. The results suggest a kinked structure with considerable orientational heterogeneity. The C-terminal domain is well structured, has a well-defined orientation in the bilayer, and appears to be in the bilayer interfacial region. On the other hand, the N-terminal domain, although appearing to be well structured and in the hydrophobic core of the bilayer, has a broad range of orientations relative to the bilayer normal. The structure is not just half of the open-state dimer, and neither is the structure restricted to the surface of the bilayer. Consequently, the monomeric or closed state appears to be a hybrid of these two models from the literature.

Anisotropy↗

PubMed2002

The closed state of a H+ channel helical bundle combining precise orientational and distance restraints from solid state NMR.

An interhelical distance has been precisely measured by REDOR solid-state NMR spectroscopy in the transmembrane tetrameric bundle of M2-TMP, from the M2 proton channel of the influenza A viral coat. The high-resolution structure of the helical backbone has been determined using orientational restraints from uniformly aligned peptide preparations in hydrated dimyristoylphosphatidylcholine bilayers. Here, the distance between (15)N(pi) labeled His37 and (13)C(gamma) labeled Trp41 is determined to be less than 3.9 A. Such a short distance, in combination with the known tilt and rotational orientation of the individual helices, permits not only a determination of which specific side chain pairings give rise to the interaction, but also the side chain torsion angles and restraints for the tetrameric bundle can also be characterized. The resulting proton channel structure is validated in a variety of ways. Both histidine and tryptophan side chains are oriented in toward the pore where they can play a significant functional role. The channel appears to be closed by the proximity of the four indoles consistent with electrophysiology and mutagenesis studies of the intact protein at pH 7.0 and above. The pore maintains its integrity to the N terminal side of the membrane, and at the same time, a cavity is generated that appears adequate for binding amantadine. Finally, the observation of a 2 kHz coupling in the PISEMA spectrum of (15)N(pi)His37 validates the orientation of the His37 side chain based on the observed REDOR distance.

Amino Acid Sequence↗

PubMed2002

Expression and initial structural insights from solid-state NMR of the M2 proton channel from influenza A virus.

The M2 protein from influenza A virus has been expressed, purified, and reconstituted into DMPC/DMPG liposomes. SDS-PAGE analysis of reconstituted M2 protein in DMPC/DMPG liposomes demonstrates a stable tetrameric preparation. Circular dichroism spectra of the intact M2 protein in detergent indicate 67% alpha-helix. The uniformly (15)N-labeled M2 protein and both (15)N-Val- and (15)N-Leu-labeled M2 protein have been expressed from defined M9 media. The (1)H-(15)N HSQC (heteronuclear single quantum correlation) solution NMR experiments have been performed on the amino acid specific labeled protein in 300 mM SDS-d(25) micelles, and the data indicate a homogeneous preparation. The reconstituted M2/DMPC/DMPG proteoliposomes were used for preparing uniformly aligned solid-state NMR samples for (15)N-(1)H dipolar/(15)N chemical shift correlation experiments. The spectra support a transmembrane helix in M2 protein having a tilt angle of approximate 25 degrees, quantitatively similar to results obtained on the isolated M2 transmembrane peptide reconstituted in DMPC bilayers (38 degrees ). In addition, the spectra suggest that the tetrameric protein forms a symmetric or at least pseudosymmetric bundle consistent with data obtained by other research groups based on electrophysiological measurements and substituted cysteine scanning mutagenesis experiments that characterize a tetrameric structure.

Dimyristoylphosphatidylcholine↗

PubMed2001

Comparison of gramicidin A and gramicidin M channel conductance dispersities.

To explore the possible role of Trp side chains in gramicidin channel conductance dispersity, we studied the dispersity of gramicidin M (gM), a gramicidin variant in which all four tryptophan residues are replaced with phenylalanine residues, and its enantiomer, gramicidin M(-) (gM(-)), and compared them to that of gramicidin A (gA). The conductances of highly purified gM and gM(-) were studied in alkali metal solutions at a variety of concentrations and voltages, in seven different types of lipid, and in the presence of detergent. Like gA channels, the most common gM channel conductance forms a narrow band. However, unlike gA channels, where the remaining 5-30% of channel conductances are broadly distributed below (and slightly above) the main band, in gM there is a narrow secondary band with <50% of the main peak conductance. This secondary peak was prominent in NaCl and KCl, but significantly diminished in CsCl and RbCl. Under some conditions, minor components can be observed with conductances yet lower than the secondary peak. Interconversions between the primary conductance state and these yet lower conductance states were observed. The current-voltage relations for both primary and secondary gM channel types have about the same curvature. The mean lifetime of the secondary channel type is below one third that of the primary type. The variants represent state deviations in the peptide or adjacent lipid structure.

Electric Conductivity↗

PubMed2001

Complete cross-validation and R-factor calculation of a solid-state NMR derived structure.

Cross-validation of a solid-state NMR-derived membrane polypeptide structure is demonstrated. An initial structure has been achieved directly from solid-state NMR derived orientational restraints based on a variety of anisotropic nuclear spin interactions. Refining the molecular structure involves setting up a penalty function that incorporates all available solid-state NMR experimental data and an energy function. A validation method is required to choose the optimal weighting factor for the total penalty function to balance the contribution from the experimental restraints and the energy function. Complete cross-validation has been used to avoid over-fitting the orientational restraints. Such cross-validation involves partitioning of the experimental data into a test set and a working set followed by checking the free R-value during the refinement process. This approach is similar to the method used in crystallography and solution NMR. Optimizing the weighting factor on the penalty function by cross-validation will increase the quality of the refined structure from solid-state NMR data. The complete cross-validation and R-factor calculation is demonstrated using experimental solid-state NMR data from gramicidin A, a monovalent cation channel in lipid bilayers.

Journal Article↗

PubMed2001

PISEMA powder patterns and PISA wheels.

Resonance patterns observed in 2D PISEMA (polarization inversion spin exchange at magic angle) spectra from a transmembrane alpha-helix have been demonstrated to yield structural details of the protein. This paper presents a mathematical discussion of the PISEMA powder spectrum as the image in the frequency plane of a quadratic function from the sphere of unit vectors. The simplicity of this function allows easy calculation of the powder spectrum. Based on this analysis of powder patterns, four degeneracies are discussed which arise in determining possible orientations associated with PISA spectra. This paper also gives parametric equations for PISA wheels, which are specific patterns observed in PISEMA spectra of oriented peptides. These wheels are useful both in assigning the resonances and in determining the orientation of the helix with respect to the magnetic field. The union of these PISA wheels gives the entire powder spectrum.

Influenza A virus↗

PubMed2001

Noncontact dipole effects on channel permeation. IV. Kinetic model of 5F-Trp(13) gramicidin A currents.

Nonlinear least squares fitting was used to assign rate constants for the three-barrier, two-site, double-occupancy, single-filing kinetic model for previously reported current-voltage relations of (5F-Indole)Trp(13) gramicidin A and gramicidin A channels (, 75:2830-2844). By judicious coupling of parameters, it was possible to reduce the parameter space from 64 parameters to 24, and a reasonable fit consistent with other experimental data was obtained. The main features of the fit were that fluorination increased the rate constant for translocation by a factor of 2.33, consistent with a free energy change in the translocation barrier of -0.50 kcal/mol, and increased first-ion binding affinity by a factor of 1.13, primarily by decreasing the first-ion exit rate constant. The translocation rate constant was 5.62 times slower in diphytanoyl phosphatidylcholine (DPhPC) bilayers than in monoolein (GMO) bilayers (coupled for the four combinations of peptide and salt), suggesting a 44.2-mV difference in the projection of the interfacial dipole into the channel. Thus fluorination caused increased currents in DPhPC bilayers, where a high interfacial dipole potential makes translocation more rate limiting because the translocation barrier was reduced, and decreased currents in GMO bilayers, where ion exit or entry is rate limiting because these barriers were increased.

Algorithms↗

PubMed2001

Noncontact dipole effects on channel permeation. V. Computed potentials for fluorinated gramicidin.

Experimental and theoretical calculations indicate that the dipole moment of the four Trp side chains in gramicidin A (gA) channels modify channel conductance through long-range electrostatic interactions. Electrostatic ion/side-chain interaction energies along the channel were computed with CHARMM using ab initio atom charges for native and 4-, 5-, or 6-fluorinated Trp side chains. The bulk water reaction to the polar side chains was included using the method of images as implemented by, and channel waters in idealized structures were included. Ion/Trp interaction energies were approximately -0.6 kcal/mol throughout the channel for all four of the native Trp pairs. Channel waters produced a modest reduction in the magnitude of interactions, essentially offsetting images representing the bulk water outside the channel. The effects of side-chain fluorination depended on ring position and, to a lesser extent, residue number. Compared with native Trp, 5-fluorination reduces the translocation barrier with minor effects on the exit barrier. In contrast, 6-fluorination primarily reduces exit barrier. 4-Fluorination produces a more complex double-well energy profile. Effects of measured side-chain movements resulting from fluorination or change in lipid bilayer were negligible whereas thermal side chain librations cause large effects, especially in the region of the ion-binding sites.

Binding Sites↗

PubMed2001

Structure of the transmembrane region of the M2 protein H(+) channel.

The transmembrane domain of the M2 protein from influenza A virus forms a nearly uniform and ideal helix in a liquid crystalline bilayer environment. The exposure of the hydrophilic backbone structure is minimized through uniform hydrogen bond geometry imposed by the low dielectric lipid environment. A high-resolution structure of the monomer backbone and a detailed description of its orientation with respect to the bilayer were achieved using orientational restraints from solid-state NMR. With this unique information, the tetrameric structure of this H(+) channel is constrained substantially. Features of numerous published models are discussed in light of the experimental structure of the monomer and derived features of the tetrameric bundle.

Influenza A virus↗

PubMed2000

Influence of transmembrane peptides on bilayers of phosphatidylcholines with different acyl chain lengths studied by solid-state NMR.

The molecular orientation in a lipid membrane of the peptide fragment VEYAGIALFFVAAVLTLWSMLQYLSAAR (phosphatidylglycerophosphate synthase (Pgs) peptide E) of an integral membrane protein, Pgs, in Escherichia coli has been investigated by solid-state 15N nuclear magnetic resonance (NMR) on macroscopically aligned lipid bilayers. The secondary structure of the peptide in lipid vesicles was determined by circular dichroism spectroscopy. Furthermore, the phase behaviour of the Pgs peptide E/dierucoylphosphatidylcholine (DEruPC)/water system was determined by (2)H, (31)P and 15N solid-state NMR spectroscopy. The phase behaviour obtained was then compared to that of the Pgs peptide E solubilised in dioleoylphosphatidylcholine and water that was previously studied by Morein et al. [Biophys. J. 73 (1997) 3078-3088]. This was aimed to answer the question whether a difference in the length of the hydrophobic part of this peptide and the hydrophobic thickness of the lipid bilayer (hydrophobic mismatch) will affect the phase behaviour. The peptide mostly has a transmembrane orientation and is in an alpha-helical conformation. An isotropic phase is formed in DEruPC with high peptide content (peptide/lipid molar ratio (p/l) > or =1:15) and high water content (> or =50%, w/w) at 35 degrees C. At 55 and 65 degrees C an isotropic phase is induced at high water content (> or =50%, w/w) at all peptide contents studied (no isotropic phase forms in the lipid/water system under the conditions in this study). At high peptide contents (p/l> or =1:15) an isotropic phase forms at 20 and 40% (w/w) of water at 55 and 65 degrees C. A comparison of the phase behaviour of the two homologous lipid systems reveals striking similarities, although the thicknesses of the two lipid bilayers differ by 7 A. This suggests that the rationalisation of the phase behaviour in terms of the hydrophobic mismatch is not applicable to these systems. The C-terminus of Pgs peptide E is amphiphilic and a considerable part of the peptide is situated outside the hydrophobic part of the bilayer, a property of the peptide that to a large extent will affect the lipid/peptide phase behaviour.

Amino Acid Sequence↗

PubMed2000

Helix tilt of the M2 transmembrane peptide from influenza A virus: an intrinsic property.

Solid-state NMR has been used to study the influence of lipid bilayer hydrophobic thickness on the tilt of a peptide (M2-TMP) representing the transmembrane portion of the M2 protein from influenza A. Using anisotropic (15)N chemical shifts as orientational constraints, single-site isotopically labeled M2-TMPs were studied in hydrated dioleoylphosphatidylcholine (DOPC) and dimyristoylphosphatidylcholine (DMPC) lipid bilayers oriented between thin glass plates. These chemical shifts provide orientational information for the molecular frame with respect to the magnetic field in the laboratory frame. When modeled as a uniform ideal alpha-helix, M2-TMP has a tilt of 37(+/-3) degrees in DMPC and 33(+/-3) degrees in DOPC with respect to the bilayer normal in these lipid environments. The difference in helix tilt between the two environments appears to be small. This lack of a substantial change in tilt further suggests that significant interactions occur between the helices, as in an oligomeric state, to prevent a change in tilt in thicker lipid bilayers.

Anisotropy↗

PubMed2000

Imaging membrane protein helical wheels.

Resonance patterns have been observed in 2D solid-state NMR spectra of the transmembrane segment of M2 protein from Influenza A virus in oriented samples reflecting the helical wheel of this alpha-helix. The center of this pattern uniquely defines the helical tilt with respect to the bilayer normal without a need for resonance assignments. The distribution of resonances from amino acid specific labels around the "PISA wheel" defines the rotational orientation of the helix and yields preliminary site-specific assignments. With assignments high-resolution structural detail, such as differences in tilt and rotational orientation along the helical axis leading to an assessment of helical coiling, can be obtained.

Influenza A virus↗

PubMed2000

Atomic refinement using orientational restraints from solid-state NMR.

We describe a procedure for using orientational restraints from solid-state NMR in the atomic refinement of molecular structures. Minimization of an energy function can be performed through either (or both) least-squares minimization or molecular dynamics employing simulated annealing. The energy, or penalty, function consists of terms penalizing deviation from "ideal" parameters such as covalent bond lengths and terms penalizing deviation from orientational data. Thus, the refinement strives to produce a good fit to orientational data while maintaining good stereochemistry. The software is in the form of a module for the popular refinement package CNS and is several orders of magnitude faster than previous software for refinement with orientational data. The short computer time required for refinement removes one of the difficulties in protein structure determination with solid-state NMR.

Gramicidin↗

PubMed2000

Transmembrane domain of M2 protein from influenza A virus studied by solid-state (15)N polarization inversion spin exchange at magic angle NMR.

The M2 protein from the influenza A virus forms a proton channel in the virion that is essential for infection. This tetrameric protein appears to form a four-helix bundle spanning the viral membrane. Here the solid-state NMR method, 2D polarization inversion spin exchange at magic angle (PISEMA), has been used to obtain multiple constraints from specifically amino acid-labeled samples. The improvement of spectral resolution from 2D PISEMA over 1D methods and 2D separated local field methods is substantial. The reliability of the method is validated by comparison of anisotropic chemical shift and heteronuclear dipolar interactions from single site labeled samples. The quantitative interpretation of the high-resolution constraints confirms the helix tilt to be within the range of previous experimental determinations (32 degrees -38 degrees ). The binding of the channel inhibitor, amantadine, results in no change in the backbone structure at position Val(27,28), which is thought to be a potential binding site for the inhibitor.

Amino Acid Sequence↗