A Vector-valued H p Corona Theorem on the Polydisk

For the corona problem on the bidisk, we find analytic solutions belonging to the Orlicz-type space In addition, for 1 ≤ p < ∞, an corona theorem is established. Similar techniques can be used for the polydisk.     

Manipulation of prenatal hormones and dietary phytoestrogens during adulthood alter the sexually dimorphic expression of visual spatial memory

Background

Recently a hyperthermic rat hippocampal slice model system has been used to investigate febrile seizure pathophysiology. Our previous data indicates that heating immature rat hippocampal slices from 34 to 41°C in an interface chamber induced epileptiform-like population spikes accompanied by a spreading depression (SD). This may serve as an in vitro model of febrile seizures.

Results

In this study, we further investigate cellular mechanisms of hyperthermia-induced initial population spike activity. We hypothesized that GABA_A receptor-mediated 30–100 Hz γ oscillations underlie some aspects of the hyperthermic population spike activity. In 24 rat hippocampal slices, the hyperthermic population spike activity occurred at an average frequency of 45.9 ± 14.9 Hz (Mean ± SE, range = 21–79 Hz, n = 24), which does not differ significantly from the frequency of post-tetanic γ oscillations (47.1 ± 14.9 Hz, n = 34) in the same system. High intensity tetanic stimulation induces hippocampal neuronal discharges followed by a slow SD that has the magnitude and time course of the SD, which resembles hyperthermic responses. Both post-tetanic γ oscillations and hyperthermic population spike activity can be blocked completely by a specific GABA_A receptor blocker, bicuculline (5–20 μM). Bath-apply kynurenic acid (7 mM) blocks synaptic transmission, but fails to prevent hyperthermic population spikes, while intracellular diffusion of QX-314 (30 mM) abolishes spikes and produces a smooth depolarization in intracellular recording.

Conclusion

These results suggest that the GABA_A receptor-governed γ oscillations underlie the hyperthermic population spike activity in immature hippocampal slices.     

The role of liquid chromatography and flow injection analyses coupled to isotope ratio mass spectrometry for studying human in vivo glucose metabolism

Under most physiological conditions, glucose, or carbohydrate (CHO), homeostasis is tightly regulated. In order to mechanistically appraise the origin of circulating glucose (e.g. via either gluconeogenesis, glycogenolysis or oral glucose intake), and its regulation and oxidation, the use of stable isotope tracers is now a well-accepted analytical technique. Methodologically, liquid chromatography coupled to isotope ratio mass spectrometry (LC/IRMS) can replace gas chromatography coupled to combustion-isotope ratio mass spectrometry (GC/C/IRMS) for carrying out compound-specific (13)C isotopic analysis. The LC/IRMS approach is well suited for studying glucose metabolism, since the plasma glucose concentration is relatively high and the glucose can readily undergo chromatography in an aqueous mobile phase. Herewith, we report two main methodological approaches in a single instrument: (1) the ability to measure the isotopic enrichment of plasma glucose to assess the efficacy of CHO-based treatment (cocoa-enriched) during cycling exercise with healthy subjects, and (2) the capacity to carry out bulk isotopic analysis of labeled solutions, which is generally performed with an elemental analyzer coupled to IRMS. For plasma samples measured by LC/IRMS the data show a isotopic precision SD(δ(13)C) and SD(APE) of 0.7 ‰ and 0.001, respectively, with δ(13)C and APE values of -25.48 ‰ and 0.06, respectively, being generated before and after tracer administration. For bulk isotopic measurements, the data show that the presence of organic compounds in the blank slightly affects the δ(13)C values. Despite some analytical limitations, we clearly demonstrate the usefulness of the LC/IRMS especially when (13)C-glucose is required during whole-body human nutritional studies.     

Total synthesis, stereochemical assignment, and antimalarial activity of gallinamide A

The total synthesis and stereochemical assignment of gallinamide A, an antimalarial depsipeptide of cyanobacterial origin, is described. Synthesis of the four possible N-terminal diastereoisomers of gallinamide A (including the natural product symplostatin 4) was achieved using a divergent strategy from a common imide fragment. The natural product and corresponding diastereoisomers were synthesized in 30-33% overall yield in a longest linear sequence of 8 steps. Comparative NMR spectroscopic studies of the four synthetic diastereoisomers with the isolated natural product demonstrated that gallinamide A possesses a dimethylated L-isoleucyl residue at the N-terminus. As such, we have shown that gallinamide A is structurally and stereochemically identical to symplostatin 4. Gallinamide A and its N-terminal diastereoisomers were also shown to possess significant antimalarial activity with IC(50) values in the nanomolar range against the 3D7 strain of Plasmodium falciparum.     

Determinations of 15N chemical shift anisotropy magnitudes in a uniformly 15N,13C-labeled microcrystalline protein by three-dimensional magic-angle spinning nuclear magnetic resonance spectroscopy

Amide 15N chemical shift anisotropy (CSA) tensors provide quantitative insight into protein structure and dynamics. Experimental determinations of 15N CSA tensors in biologically relevant molecules have typically been performed by NMR relaxation studies in solution, goniometric analysis of single-crystal spectra, or slow magic-angle spinning (MAS) NMR experiments of microcrystalline samples. Here we present measurements of 15N CSA tensor magnitudes in a protein of known structure by three-dimensional MAS solid-state NMR. Isotropic 15N, 13C alpha, and 13C' chemical shifts in two dimensions resolve site-specific backbone amide recoupled CSA line shapes in the third dimension. Application of the experiments to the 56-residue beta1 immunoglobulin binding domain of protein G (GB1) enabled 91 independent determinations of 15N tensors at 51 of the 55 backbone amide sites, for which 15N-13C alpha and/or 15N-13C' cross-peaks were resolved in the two-dimensional experiment. For 37 15N signals, both intra- and interresidue correlations were resolved, enabling direct comparison of two experimental data sets to enhance measurement precision. Systematic variations between beta-sheet and alpha-helix residues are observed; the average value for the anisotropy parameter, delta (delta = delta(zz) - delta(iso)), for alpha-helical residues is 6 ppm greater than that for the beta-sheet residues. The results show a variation in delta of 15N amide backbone sites between -77 and -115 ppm, with an average value of -103.5 ppm. Some sites (e.g., G41) display smaller anisotropy due to backbone dynamics. In contrast, we observe an unusually large 15N tensor for K50, a residue that has an atypical, positive value for the backbone phi torsion angle. To our knowledge, this is the most complete experimental analysis of 15N CSA magnitude to date in a solid protein. The availability of previous high-resolution crystal and solution NMR structures, as well as detailed solid-state NMR studies, will enhance the value of these measurements as a benchmark for the development of ab initio calculations of amide 15N shielding tensor magnitudes.     

A note on multiplier algebras on reproducing kernel Hilbert spaces

We construct a simple reproducing kernel space whose multiplier algebra does not satisfy a ``corona theorem'.

     

Docking validation resources: protein family and ligand flexibility experiments

A database consisting of 780 ligand-receptor complexes, termed SB2010, has been derived from the Protein Databank to evaluate the accuracy of docking protocols for regenerating bound ligand conformations. The goal is to provide easily accessible community resources for development of improved procedures to aid virtual screening for ligands with a wide range of flexibilities. Three core experiments using the program DOCK, which employ rigid (RGD), fixed anchor (FAD), and flexible (FLX) protocols, were used to gauge performance by several different metrics: (1) global results, (2) ligand flexibility, (3) protein family, and (4) cross-docking. Global spectrum plots of successes and failures vs rmsd reveal well-defined inflection regions, which suggest the commonly used 2 ? criteria is a reasonable choice for defining success. Across all 780 systems, success tracks with the relative difficulty of the calculations: RGD (82.3%) > FAD (78.1%) > FLX (63.8%). In general, failures due to scoring strongly outweigh those due to sampling. Subsets of SB2010 grouped by ligand flexibility (7-or-less, 8-to-15, and 15-plus rotatable bonds) reveal that success degrades linearly for FAD and FLX protocols, in contrast to RGD, which remains constant. Despite the challenges associated with FLX anchor orientation and on-the-fly flexible growth, success rates for the 7-or-less (74.5%) and, in particular, the 8-to-15 (55.2%) subset are encouraging. Poorer results for the very flexible 15-plus set (39.3%) indicate substantial room for improvement. Family-based success appears largely independent of ligand flexibility, suggesting a strong dependence on the binding site environment. For example, zinc-containing proteins are generally problematic, despite moderately flexible ligands. Finally, representative cross-docking examples, for carbonic anhydrase, thermolysin, and neuraminidase families, show the utility of family-based analysis for rapid identification of particularly good or bad docking trends, and the type of failures involved (scoring/sampling), which will likely be of interest to researchers making specific receptor choices for virtual screening. SB2010 is available for download at http://rizzolab.org .     

Backbone conformational constraints in a microcrystalline U-15N-labeled protein by 3D dipolar-shift solid-state NMR spectroscopy

Structural studies of uniformly labeled proteins by magic-angle spinning NMR spectroscopy have rapidly matured in recent years. Site-specific chemical shifts of several proteins have been assigned and structures determined from 2D or 3D data sets containing internuclear distance information. Here we demonstrate the application of a complementary technique for constraining protein backbone geometry using a site-resolved 3D dipolar-shift pulse sequence. The dipolar line shapes report on the relative orientations of 1H-15N[i] to 1H-15N[i+1] dipole vectors, constraining the torsion angles phi[i] and psi[i]. In addition, from the same 3D data set, several 1H-15N[i] to1H-15N[i+2] line shapes are extracted to constrain the torsion angles phi[i], psi[i], phi[i+1], and psi[i+1]. We report results for the majority of sites in the 56-residue beta1 immunoglobulin binding domain of protein G (GB1), using 3D experiments at 600 MHz 1H frequency. Excellent agreement between the SSNMR results and a new 1.14 A crystal structure illustrate the general potential of this technique for high-resolution structural refinement of solid proteins.     

A Corona Theorem for Multipliers on Dirichlet Space

We prove a corona theorem for infinitely many functions from the multiplier algebra on Dirichlet space.