The influence of Cu(2+) on the unfolding and refolding of intact and proteolytically processed beta(2)-microglobulin

Human beta(2)-microglobulin (beta(2)m) is an amyloidogenic protein in patients suffering from chronic kidney disease and especially in those patients that need intermittent hemodialysis for longer periods, e.g., when awaiting transplantation. While many in vitro conditions induce beta(2)m-amyloid formation from wild-type (wt) beta(2)m and while a number of structurally altered beta(2)m molecules are known to be conformationally unstable and amyloidogenic on their own, it is not known why beta(2)m-amyloid is generated in some dialysis patients. For many amyloid proteins it is known that divalent metal ions, especially Cu(2+), display strong binding and distinct destabilizing effects on protein conformation. The present study uses CE to assess conformational states of wt and cleaved beta(2)m (dK58-beta(2)m, beta(2)m cleaved at lysine-58, a modification found in the circulation of hemodialysis patients) in the presence of divalent metal ions. The experiments provide both qualitative and quantitative data showing the specific destabilizing effects of Cu(2+)-ions on the folding of wt beta(2)m. Both refolding after acid denaturation and solution structure of beta(2)m under otherwise native conditions are severely influenced by Cu(2+). An increased unfolding, aggregation, and induction of Congo red-reactive molecular species in Cu(2+)-incubated wt-beta(2)m could be demonstrated while the refolding kinetics of dK58-beta(2)m, already slower than the wt molecule, appeared not to be further decreased by Cu(2+). Given the interest in the actions of metal ions in other types of amyloidosis, including, e.g., Alzheimer's disease and the prion encephalopathies, the use of microelectrophoretic methods to monitor unfolding and refolding of biomolecules available in scarce amounts as shown in this study is an attractive option.     

Wiener Algebra for the Quaternions

We define and study the counterpart of the Wiener algebra in the quaternionic setting, both for the discrete and continuous case. We prove a Wiener–Lévy type theorem and a factorization theorem. We give applications to Toeplitz and Wiener–Hopf operators.     

Weighted $${{L^p}}$$-Liouville theorems for hypoelliptic partial differential operators on Lie groups

We prove weighted \({L^p}\)-Liouville theorems for a class of second-order hypoelliptic partial differential operators \({\mathcal{L}}\) on Lie groups \({\mathbb{G}}\) whose underlying manifold is \({n}\)-dimensional space. We show that a natural weight is the right-invariant measure \(\check{H}\) of \({\mathbb{G}}\). We also prove Liouville-type theorems for \({C^{2}}\) subsolutions in \({L^{p}(\mathbb{G},\check{H})}\). We provide examples of operators to which our results apply, jointly with an application to the uniqueness for the Cauchy problem for the evolution operator \({\mathcal{L}-\partial_{t}}\).     

Superoscillating Sequences in Several Variables

In a series of papers (J Phys A 44:365304, 2011; Complex Anal Oper Theory 7:1299–1310, 2013; J Math Pures Appl 99:165–173, 2013; J Math Pures Appl 103:522–534, 2015), we have investigated some mathematical properties of superoscillating sequences in one variable, and their persistence in time. In this paper we study the notion of superoscillation in several variables and we show how to construct examples of sequences that exhibit this property.     

Structure-based approach for identification of novel phenylboronic acids as serine-β-lactamase inhibitors

β-Lactamases are bacterial enzymes conferring resistance to β-lactam antibiotics in clinically-relevant pathogens, and represent relevant drug targets. Recently, the identification of new boronic acids (i.e. RPX7009) paved the way to the clinical application of these molecules as potential drugs. Here, we screened in silico a library of ~1400 boronic acids as potential AmpC β-lactamase inhibitors. Six of the most promising candidates were evaluated in biochemical assays leading to the identification of potent inhibitors of clinically-relevant β-lactamases like AmpC, KPC-2 and CTX-M-15. One of the selected compounds showed nanomolar K _i value with the clinically-relevant KPC-2 carbapenemase, while another one exhibited broad spectrum inhibition, being also active on Enterobacter AmpC and the OXA-48 class D carbapenemase.     

Poly‐l‐Lactic Acid Nanofiber–Polyamidoamine Hydrogel Composites: Preparation,Properties, and Preliminary Evaluation as Scaffolds for Human Pluripotent Stem Cell Culturing

Electrospun poly‐l ‐lactic acid (PLLA) nanofiber mats carrying surface amine groups, previously introduced by nitrogen atmospheric pressure nonequilibrium plasma, are embedded into aqueous solutions of oligomeric acrylamide‐end capped AGMA1, a biocompatible polyamidoamine with arg‐gly‐asp (RGD)‐reminiscent repeating units. The resultant mixture is finally cured giving PLLA‐AGMA1 hydrogel composites that absorb large amounts of water and, in the swollen state, are translucent, soft, and pliable, yet as strong as the parent PLLA mat. They do not split apart from each other when swollen in water and remain highly flexible and resistant, since the hydrogel portion is covalently grafted onto the PLLA nanofibers via the addition reaction of the surface amine groups to a part of the terminal acrylic double bonds of AGMA1 oligomers. Preliminary tested as scaffolds, the composites prove capable of maintaining short‐term undifferentiated cultures of human pluripotent stem cells in feeder‐free conditions.

     

Isentropic fluid dynamics in a curved pipe

In this paper we study isentropic flow in a curved pipe. We focus on the consequences of the geometry of the pipe on the dynamics of the flow. More precisely, we present the solution of the general Cauchy problem for isentropic fluid flow in an arbitrarily curved, piecewise smooth pipe. We consider initial data in the subsonic regime, with small total variation about a stationary solution. The proof relies on the front-tracking method and is based on [1].     

Monogenic plane waves and the W‐functional calculus

In this paper, we introduce some integral transforms that map slice monogenic functions to monogenic functions. We then show that one of these integral transforms, which is based on the Cauchy formula of slice monogenic functions, is useful to define a functional calculus depending on a parameter for n‐tuples of bounded operators. Copyright © 2015 John Wiley & Sons, Ltd.