Rational Landen transformations on

The Landen transformation preserves the value of an elliptic integral, and its iteration produces the classical arithmetic-geometric mean AGM. We present analogous transformations for rational functions integrated over the whole real line.

     

Leveraging an enzyme/artificial substrate system to enhance cellular persulfides and mitigate neuroinflammation

Persulfides and polysulfides, collectively known as the sulfane sulfur pool along with hydrogen sulfide (H₂S), play a central role in cellular physiology and disease. Exogenously enhancing these species in cells is an emerging therapeutic paradigm for mitigating oxidative stress and inflammation that are associated with several diseases. In this study, we present a unique approach of using the cell''s own enzyme machinery coupled with an array of artificial substrates to enhance the cellular sulfane sulfur pool. We report the synthesis and validation of artificial/unnatural substrates specific for 3-mercaptopyruvate sulfurtransferase (3-MST), an important enzyme that contributes to sulfur trafficking in cells. We demonstrate that these artificial substrates generate persulfides in vitro as well as mediate sulfur transfer to low molecular weight thiols and to cysteine-containing proteins. A nearly 100-fold difference in the rates of H₂S production for the various substrates is observed supporting the tunability of persulfide generation by the 3-MST enzyme/artificial substrate system. Next, we show that the substrate 1a permeates cells and is selectively turned over by 3-MST to generate 3-MST-persulfide, which protects against reactive oxygen species-induced lethality. Lastly, in a mouse model, 1a is found to significantly mitigate neuroinflammation in the brain tissue. Together, the approach that we have developed allows for the on-demand generation of persulfides in vitro and in vivo using a range of shelf-stable, artificial substrates of 3-MST, while opening up possibilities of harnessing these molecules for therapeutic applications.

A persulfide/hydrogen sulfide generation strategy through artificial substrates for 3-mercaptopyruvate sulfurtransferase (3-MST) is reported, which enhances cellular persulfides, attenuates reactive oxygen species (ROS), and alleviates inflammation.     

Mathematical modeling of localized melting around graphite nodules during laser surface hardening of austempered ductile iron

An attempt has been made to mathematically predict the optimum conditions of laser surface hardening (LSH) of austempered ductile iron (ADI) that can ensure a predominantly martensitic microstructure and preclude partial/complete dissolution of graphite nodules in the laser hardened zone during laser irradiation. The exercise involves prediction of the thermal profile (using the Ashby and Easterling model), and consequently, the carbon diffusion profile around the graphite nodules at different depths from the surface for the given conditions of LSH. Microstructural investigations have been carried out by optical and scanning electron microscopy to study the morphology, shape and width of the partially/completely melted graphite nodules as a function of the LSH parameters. Finally, the predicted maximum width of the melted zone around the graphite nodules is compared with the relevant experimental data to validate the proposed model.     

Aqueous Wittig reactions of semi-stabilized ylides. A straightforward synthesis of 1,3-dienes and 1,3,5-trienes

A direct synthesis of 1,3-dienes and 1,3,5-trienes from the reaction of semi-stabilized ylides and a range of saturated and unsaturated aldehydes is reported in water as solvent, employing sodium hydroxide as base. The water-soluble phosphine oxide side product is removed simply by aqueous partitioning of the organic products.     

Heterodimers based on CoPt3-Au nanocrystals with tunable domain size

We describe an approach to synthesize colloidal nanocrystal heterodimers composed of CoPt(3) and Au. The growth is based on the nucleation of gold domains on preformed CoPt(3) nanocrystals. It is a highly versatile methodology which allows us to tune independently the size of the two domains in each dimer by varying several reaction parameters. The statistical analysis of the distribution of the domain sizes in the dimers and the compositional mapping achieved by dark field imaging and energy dispersive spectroscopy confirm that the two domains in each dimer are indeed made of CoPt(3) and Au, respectively. Structural characterization by high-resolution transmission electron microscopy shows that the two domains, both having cubic fcc Bravais lattice, can share a common {111}, {100}, or {110} facet, depending on the size of the initial CoPt(3) seeds. The magnetization measurements evidence a ferromagnetic CoPt(3) phase with a relatively low anisotropy as a consequence of their disordered crystalline structure, regardless of the presence of a Au tip. We believe that this prototype of nanocrystal dimer, which can be manipulated under air, can find several applications in nanoscience, as the Au section can be exploited as the preferential anchor point for various molecules, while the CoPt(3) domain can be used for magnetic detection.     

Mononuclear to polynuclear transition induced by ligand coordination: synthesis, X-ray structure, and properties of mono-, di-, and polynuclear copper(II) complexes of pyridyl-containing azo ligands

Reactions of two hydrated cupric salts (CuCl(2).2H(2)O and Cu(ClO(4))(2).6H(2)O) with three azopyridyl ligands, viz. 2-[(arylamino)phenylazo]pyridine [aryl = phenyl (HL(1a)), p-tolyl (HL(1b)), and 2-thiomethyl phenyl (HL(1c))], 2-[2-(pyridylamino)phenylazo]pyridine (HL(2)), and 2-[3-(pyridylamino)phenylazo]pyridine (HL(3)), afford the mononuclear [CuClL(1)] (1), dinuclear [Cu(2)X(2)L(2)(2)](n)()(+) (X = Cl, H(2)O, ClO(4); n = 0, 1; 2, 3), and polynuclear [CuClL(3)](n)() (4) complexes, respectively, in high yields. Representative X-ray structures of these complexes 1-4 are reported. X-ray structure analysis of 4 reveals an infinite 1D zigzag chain that adopts a saw-tooth-like structure. Variable-temperature cryomagnetic measurements (2-300 K) on the complexes 2-4 have revealed weak magnetic interactions between the copper centers with J values -1.04, 9.88, and -1.31 cm(-1), respectively. Positive ion ESI mass spectra of the soluble complexes 1-3 are studied which provide the evidence for the integrity of the complexes also in solution. Visible range spectra of the complexes 1-3 in solution consist of intense and broad transitions in the range 700-600 nm. The solid-state spectrum of the insoluble copper complex 4, on the other hand, shows a structured band near 700 nm. The intensities of the transitions of the dinuclear complexes are much higher than those of the corresponding mononuclear copper complexes. Redox properties of the present copper complexes are reported. Notably, the dinuclear complex, 3, displays two successive redox processes: Cu(II)Cu(II) right harpoon over left harpoon Cu(II)Cu(I) right harpoon over left harpoon Cu(I)Cu(I). It catalyzes aerial oxidation of L-ascorbic acid. The catalytic cycle is most effective up to H(2)A/3 (H(2)A = L-ascorbic acid) molar ratio of 20:1.     

Unprecedented examples of double-addition of aromatic amines across a ruthenium(II)-coordinated nitrile function: Isolation and X-ray structures of ruthenium complexes of amidinate and cyclometalated amidine

The present report examplifies a novel type of aromatic amine addition reactions at a ruthenium(II) complexed acetonitrile. The electrophilic cationic complex, cis-[L₂Ru(CH₃CN)₂](ClO₄)₂ (1) [L = 2-(phenylazo)pyridine] reacts with aromatic primary amines only in neat to produce a violet amidinate complex, [L₂Ru-N(Ar)-C(CH₃)-N(Ar)]⁺ (2) of ruthenium(II). Along with it a blue ortho-metalated ruthenium(II) amidine complex, [L₂Ru-N(H)C(CH₃)-N(H)Ar]⁺ (3) is also formed. X-ray structures of the two representative complexes are reported. The transformation 1 → 2 is unprecedented, involves multiple steps and occurs with addition of two equivalents of ArNH₂ across a coordinated nitrile function. In this complex, amidinate ligand binds to ruthenium(II) center as a σ,σ symmetrical bidentate chelate. The formation of 3 is a combination of nucleophilic amine addition and cyclometalation. ¹H and ¹³C NMR spectra of the products are examined, which are consistent with their formulations and structures. Optical spectra and redox properties of the newly synthesized complexes are reported. Visible range spectra of 2 and 3 are dominated by moderately intense metal-to-ligand charge transfer transitions. The complexes show multiple redox responses. The anodic potential response occurs at a high positive potential, which is attributed to a Ru(II)/Ru(III) couple. The cathodic potential responses are due to reductions of the coordinated diazo ligands.     

Strong lensing of a regular black hole with an electrodynamics source

In this paper we have investigated the gravitational lensing phenomenon in the strong field regime for a regular, charged, static black holes with non-linear electrodynamics source. We have obtained the angle of deflection and compared it to a Schwarzschild black hole and Reissner Nordström black hole with similar properties. We have also done a graphical study of the relativistic image positions and magnifications. We hope that this method may be useful in the detection of non-luminous bodies like this current black hole.