Universality properties of the quaternionic power series and entire functions

In this paper we establish the existence of “almost universal” quaternionic power series and entire functions. Denoting by B(0, 1) the open unit ball in , this means that there exists a quaternionic power series with radius of convergence 1 such that, denoting by the n‐th partial sum of S, for every , for every axially symmetric open subset Ω of containing K and every f slice regular on Ω, there exists a subsequence of the partial sums of S such that uniformly on K, as . The symbol denotes the set of axially symmetric compact sets in such that is connected for some . This is a slightly weaker property than the classical universal power series phenomenon obtained for analytic only on the interior of K and continuous on K. We also generalize a result originally proven by Birkhoff and finally we show that there exists an entire quaternionic function whose set of derivatives is dense in the class of entire quaternionic functions.     

A Potent,Selective and Cell‐Active Allosteric Inhibitor of Protein Arginine Methyltransferase 3 (PRMT3)

PRMT3 catalyzes the asymmetric dimethylation of arginine residues of various proteins. It is essential for maturation of ribosomes, may have a role in lipogenesis, and is implicated in several diseases. A potent, selective, and cell‐active PRMT3 inhibitor would be a valuable tool for further investigating PRMT3 biology. Here we report the discovery of the first PRMT3 chemical probe, SGC707, by structure‐based optimization of the allosteric PRMT3 inhibitors we reported previously, and thorough characterization of this probe in biochemical, biophysical, and cellular assays. SGC707 is a potent PRMT3 inhibitor (IC₅₀=31±2 nM , K_D=53±2 nM ) with outstanding selectivity (selective against 31 other methyltransferases and more than 250 non‐epigenetic targets). The mechanism of action studies and crystal structure of the PRMT3‐SGC707 complex confirm the allosteric inhibition mode. Importantly, SGC707 engages PRMT3 and potently inhibits its methyltransferase activity in cells. It is also bioavailable and suitable for animal studies. This well‐characterized chemical probe is an excellent tool to further study the role of PRMT3 in health and disease.     

Involvement of Reactive Oxygen Species in TGF-β1-induced Tropoelastin Expression by Human Dermal Fibroblasts

Chronic exposure to solar UV radiation causes marked changes in the dermal extracellular matrix that underlie the loss of resiliency and increased laxity observed in photoaged skin. In particular, the dermal elastin content increases substantially and the normal, well-organized elastic fibers are replaced by amorphous elastotic material. Transforming growth factor-β1 (TGF-β1) stimulates synthesis of elastin by dermal fibroblasts and may mediate the increase in elastin in chronically photodamaged skin. We investigated pathways involved in the TGF–β1-induced increase in tropoelastin (TE), the soluble elastin monomer and assessed the role of reactive oxygen species (ROS) in the regulation of TE mRNA. Antioxidants and an inhibitor of NADPH oxidase blocked TGF–β1-induced TE mRNA increase even when added 1.5 h after TGF-β1, although ROS were detected for only 30 min. The TE mRNA increase required activation of Smad4, shown using Smad4 siRNA, and also involved the ERK1/2, p38 and JNK MAP kinases but not PI3K. ROS did not enhance signaling through Smad2 but did enhance activation of p38 and ERK1/2 at 10 min after TGF-β1. These results indicate that Smad and MAPK pathways mediate TGF–β1-induced TE expression and that ROS are required for both early signal transduction and later steps that increase elastin.     

Stimuli‐responsive ampholytic terpolymers of N‐acryloyl‐valine,acrylamide, and (3‐acrylamidopropyl)trimethylammonium chloride: Synthesis,characterization, and solution properties

Low‐charge density ampholytic terpolymers composed of acrylamide (AM), (3‐acrylamidopropyl)trimethyl ammonium chloride (APTAC), and N‐acryloyl‐valine were prepared via free‐radical polymerization in 0.5 M NaCl to yield terpolymers with random charge distributions. Sodium formate (NaOOCH) was employed as a chain transfer agent during the polymerization to suppress gel effects and broadening of the molecular weight distribution (MWD). Terpolymer compositions were determined by ¹³C NMR spectroscopy. Terpolymer molecular weights (MWs) and polydispersity indices (PDIs) were obtained via size exclusion chromatography/multi‐angle laser light scattering (SEC‐MALLS). Intrinsic viscosity values determined from SEC‐MALLS data using the Flory–Fox relationship were compared with those determined by low‐shear dilute solution viscometry and found to be in good agreement. SEC‐MALLS experiments allowed examination of radius of gyration‐MW (R_g‐M) relationships and the Mark‐Houwink‐Sakurada intrinsic viscosity‐MW ([η]‐M) relationships for terpolymers. The R_g‐M and [η]‐M relationships indicated little or no excluded volume effects under SEC conditions indicating that the terpolymers were in near theta conditions in an aqueous buffer solution. Potentiometric titration experiments were performed in deionized (DI) water. These studies revealed that the apparent pK_a of the AMVALTAC terpolymers increases with increasing VAL content. The solution properties of low‐charge density ampholytic terpolymers have been studied as functions of solution pH, ionic strength, and polymer concentration. The charge‐balanced terpolymers exhibit polyampholyte behavior at pH values ≥ 6.5. As solution pH is decreased, these charge‐balanced terpolymers become increasingly cationic due to the protonation of the VAL repeat units. Charge‐imbalanced terpolymers generally exhibit polyelectrolyte behavior, although the effects of intramolecular electrostatic interactions (e.g., polyampholyte effects) on the hydrodynamic volume are evident at certain values of solution pH and salt concentration. The solution behavior of the terpolymers in the dilute regime correlates well with that predicted by various polyampholyte solution theories. © 2006 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 44: 3125–3139, 2006     

Composition and analysis of colloidal matter along wine-making. Exploitation of its antioxidant activity in final stabilisation residues

Colloidal matter formed along vinification has been characterized for two consecutive vintages in order to a better understanding of the final solid residues obtained by freezing stabilisation. The polyphenolic content, metal concentrations and antioxidant activity of these residues have been determined. Vintage 2003 of a Vitis vinifera (Tempranillo variety) yielded a concentration of 19.018 ± 0.226 mg g^− 1 of total anthocyanins (TA) and 13.258 ± 0.158 mg g^− 1 of total flavonoids (TF) in fresh deposits. It has been found that ca. 50% of initially present Fe is eliminated along wine-making, only 6% of Cu ends up in final wine and all Mn present at the beginning of the process remains in commercial wine. Antioxidant activity in the residues is found to be related to total polyphenol concentration irrespective of polymerisation degree. An EC₅₀ of 0.130 ± 0.007 g L^− 1 (g of lyophilised dreg per L of buffered solution) was obtained for vintage 2004. Antioxidant capacity of different fractions of wine was not seen to depend upon addition of metals.     

Determination of o,oEDDHA – a xenobiotic chelating agent used in Fe fertilizers – in plant tissues by liquid chromatography/electrospray mass spectrometry: overcoming matrix effects

The Fe(III)‐chelate of ethylenediamine‐N,N′‐bis(o‐hydroxyphenylacetic) acid (o,oEDDHA) is generally considered as the most efficient and widespread Fe fertilizer for fruit crops and intensive horticulture. The determination of the xenobiotic chelating agent o,oEDDHA inside the plant is a key issue in the study of this fertilizer. Both the low concentrations of o,oEDDHA expected and the complexity of plant matrices have been important drawbacks in the development of analytical methods for the determination of o,oEDDHA in plant tissues. The determination of o,oEDDHA in plant materials has been tackled in this study by liquid chromatography coupled to mass spectrometry using several plant species and tissues. Two types of internal standards have been tested: Iron stable isotope labeled compounds and a structural analogue compound, the Fe(III) chelate of ethylenediamine‐N,N′‐bis(2‐hydroxy‐4‐methylphenylacetic) acid (o,oEDDHMA). Iron stable isotope labeled internal standards did not appear to be suitable because of the occurrence of isobaric endogenous compounds and/or isotope exchange reactions between plant native Fe pools and the Fe stable isotope of the internal standard. However, the structural analogue Fe(III)‐o,oEDDHMA is an adequate internal standard for the determination of both isomers of o,oEDDHA (racemic and meso) in plant tissues. The method was highly sensitive, with limits of detection and quantification in the range of 3–49 and 11–162 pmol g^?1 fresh weight, respectively, and analyte recoveries were in the range of 74–116%. Using this methodology, both o,oEDDHA isomers were found in all tissues of sugar beet and tomato plants treated with 90 µM Fe(III)‐o,oEDDHA for 24 h, including leaves, roots and xylem sap. This methodology constitutes a useful tool for studies on o,oEDDHA plant uptake, transport and allocation. Copyright © 2009 John Wiley & Sons, Ltd.     

Ellipsometry study of the photo‐oxidation of poly[(2‐methoxy‐5‐hexyloxy)‐ p‐phenylenevinylene]

Poly(p‐phenylenevinylene) (PPV) and its derivatives exhibit strong luminescence, being serious candidates to be used as active layers in organic light‐emitting diodes. However, the structural degradation caused by photo‐oxidation is an obstacle for commercial applications of such materials. Here, we show that spectroscopy ellipsometry is a useful technique to investigate the photo‐oxidation of poly[(2‐methoxy‐5‐hexyloxy)‐p‐phenylenevinylene] (MH‐PPV), a PPV derivative, which emits a red color light. Spectroscopy ellipsometry enables determination of the complex dielectric function—?*(E)—of MH‐PPV thin‐layer films exposed to air, in the 2.1–4.2 eV energy range, as a function of the light exposure time (t_e). By using the Lorentz model to fit the experimental ?*(E) curves, it was inferred that the interactions among polymeric chains increase with t_e. From ?*(E), it is also possible to obtain the complex refractive index, N*(E) = n + ik. At higher energies (where k ? n), n increases from 1.32 to 1.40 with the photo‐oxidation progress. The behavior of n was investigated by using the Lorenz–Lorentz equation, taking into account the contribution for n by the chromophores of MH‐PPV. The effect of photo‐oxidation, mainly due to the replacement of vinyl C?C by the ketone C?O bonds, is confirmed by Fourier transform infrared measurements, an effect that reduces the average effective polymer conjugation length. © 2004 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 42: 1033–1041, 2004