Anisotropic shearlet transforms for L2

In this paper, we present a new anisotropic generalization of the continuous shearlet transformation. This is achieved by means of an explicit construction of a family of reproducing Lie subgroups of the symplectic group. We study the properties of this new family of anisotropic shearlet transformations. In particular, we provide an analog of the Calderón admissibility condition for anisotropic shearlet reproducing functions.     

Separation by hydrophobic interaction chromatography and structural determination by mass spectrometry of mannosylated glycoforms of a recombinant transferrin-exendin-4 fusion protein from yeast

Obtaining sufficient amounts of pure glycoprotein variants to characterize their structures is an important goal in both functional biology and the biotechnology industry. We have developed preparative HIC conditions that resolve glycoform variants on the basis of overall carbohydrate content for a recombinant transferrin-exendin-4 fusion protein. The fusion protein was expressed from the yeast Saccharomyces cerevisiae from high density fermentation and is post-translationally modified with mannose sugars through O-glycosidic linkages. Overall hydrophobic behavior appeared to be dominated by the N-terminal 39 amino acids from the exendin-4 and linker peptide sequences as compared to the less hydrophobic behavior of human transferrin alone. In addition, using LC techniques that measure total glycans released from the pure protein combined with new high resolution technologies using mass spectrometry, we have determined the locations and chain lengths of mannose residues on specific peptides derived from tryptic maps of the transferrin-exendin-4 protein. Though the protein is large (80,488 kDa) and contains 78 possible serine and threonine residues as potential sites for sugar addition, mannosylation was observed on only two tryptic peptides located within the first 55 amino acids of the N-terminus. These glycopeptides were highly heterogeneous and contained between 1 and 10 mannose residues scattered among the various serine and threonine sites which were identified by electron transfer dissociation mass spectrometry. Glycan sequences from 1 to 6 linear mannose residues were detected, but mannose chain lengths of 3 or 4 were more common and formed 80% of the total oligosaccharides. This work introduces new technological capabilities for the purification and characterization of glycosylated variants of therapeutic recombinant proteins.     

Collars and partitions of hyperbolic cone-surfaces

For compact Riemann surfaces, the collar theorem and Bers’ partition theorem are major tools for working with simple closed geodesics. The main goal of this article is to prove similar theorems for hyperbolic cone-surfaces. Hyperbolic two-dimensional orbifolds are a particular case of such surfaces. We consider all cone angles to be strictly less than π to be able to consider partitions. Emily B. Dryden—partially supported by the US National Science Foundation grant DMS-0306752. Hugo Parlier—supported by the Swiss National Science Foundation grants 21-57251.99 and 20-68181.02.     

An Efficient Halogen‐Free Electrolyte for Use in Rechargeable Magnesium Batteries

Unlocking the full potential of rechargeable magnesium batteries has been partially hindered by the reliance on chloride‐based complex systems. Despite the high anodic stability of these electrolytes, they are corrosive toward metallic battery components, which reduce their practical electrochemical window. Following on our new design concept involving boron cluster anions, monocarborane CB₁₁H₁₂^? produced the first halogen‐free, simple‐type Mg salt that is compatible with Mg metal and displays an oxidative stability surpassing that of ether solvents. Owing to its inertness and non‐corrosive nature, the Mg(CB₁₁H₁₂)₂/tetraglyme (MMC/G4) electrolyte system permits standardized methods of high‐voltage cathode testing that uses a typical coin cell. This achievement is a turning point in the research and development of Mg electrolytes that has deep implications on realizing practical rechargeable Mg batteries.     

Studying the active-site loop movement of the S?o Paolo metallo-β-lactamase-1

Metallo-β-lactamases (MBLs) catalyse the hydrolysis of almost all β-lactam antibiotics. We report biophysical and kinetic studies on the São Paulo MBL (SPM-1), which reveal its Zn(ii) ion usage and mechanism as characteristic of the clinically important di-Zn(ii) dependent B1 MBL subfamily. Biophysical analyses employing crystallography, dynamic ¹⁹F NMR and ion mobility mass spectrometry, however, reveal that SPM-1 possesses loop and mobile element regions characteristic of the B2 MBLs. These include a mobile α3 region which is important in catalysis and determining inhibitor selectivity. SPM-1 thus appears to be a hybrid B1/B2 MBL. The results have implications for MBL evolution and inhibitor design.