Sub-38 nm resolution tabletop microscopy with 13 nm wavelength laser light

We have acquired images with a spatial resolution better than 38 nm by using a tabletop microscope that combines 13 nm wavelength light from a high-brightness tabletop laser and Fresnel zone plate optics. These results open a gateway to the development of compact and widely available extreme-ultraviolet imaging tools capable of inspecting samples in a variety of environments with a 15-20 nm spatial resolution and a picosecond time resolution.     

Zur Herstellung von 14C- und 3H-markiertem Guajakolglycerinäther und dessen Metabolismus im Tierkörper

Für die Herstellung von Guajakol-[1,3-¹⁴C]glycerinäther, [7-¹⁴C]Guajakolgylycerinäther und ³H-Guajakolglycerinäther werden Synthesevorschriften angegeben. Der Metbolismus wird mit Hilfe der ¹³C- oder ³H-markierten Verbindung im Tierexperiment verfolgt. Dabei kann nachgewiesen werden, daβ Guajakolglycerinä;ther hauptsächlich in nicht veränderter Form durch Urin und Galle wieder ausgeschieden wird. Nur in Spuren werden als Metaboliten Brenzkatechin und Guajakol gefunden.     

Nonlinear system identification employing automatic differentiation

An optimization based state and parameter estimation method is presented where the required Jacobian matrix of the cost function is computed via automatic differentiation. Automatic differentiation evaluates the programming code of the cost function and provides exact values of the derivatives. In contrast to numerical differentiation it is not suffering from approximation errors and compared to symbolic differentiation it is more convenient to use, because no closed analytic expressions are required. Furthermore, we demonstrate how to generalize the parameter estimation scheme to delay differential equations, where estimating the delay time requires attention.     

A simple model for fluid accumulation and flow in a porous medium

A porous media model is derived describing the accumulation and flow of fluid within a domain. The model consists of a differential expression determining the saturated fluid subdomain and a relation describing the pressure distribution within that domain. The wellposedness and numerical solution of a simplified problem is presented and a validation using field rainfall outflow data collected from a highway roadbed is discussed.     

Spontaneous head-to-tail cyclization of unprotected linear peptides with the KAHA ligation

The α-ketoacid–hydroxylamine (KAHA) ligation with 5-oxaproline enables the direct cyclization of peptides upon cleavage from a solid support, without coupling reagents, protecting groups, or purification of the linear precursors. This Fmoc SPPS-based method was applied to the synthesis of a library of 24 homoserine-containing cyclic peptides and was compared side-by-side with the synthesis of the same products using a standard method for cyclizing side-chain protected substrates. A detailed mechanistic study including ²H and ¹⁸O labeling experiments and the characterization of reaction intermediates by NMR and mass spectrometry is reported.     

Copaivabalsam

Ohne Zusammenfassung     

Inverse closedness of approximation algebras

We prove the inverse closedness of certain approximation algebras based on a quasi-Banach algebra X using two general theorems on the inverse closedness of subspaces of quasi-Banach algebras. In the first theorem commutative algebras are considered while the second theorem can be applied to arbitrary X and to subspaces of X which can be obtained by a general K-method of interpolation between X and an inversely closed subspace Y of X having certain properties. As application we present some inversely closed subalgebras of C(T) and C[−1,1]. In particular, we generalize Wiener's theorem, i.e., we show that for many subalgebras S of l¹(Z), the property {ck(f)}∈S (ck(f) being the Fourier coefficients of f) implies the same property for 1/f if f∈C(T) vanishes nowhere on T.