The tautomeric forms of cyameluric acid derivatives

The tautomerism of cyameluric acid C6N7O3H3 (1 a), cyamelurates and other heptazine derivatives has recently been studied by several theoretical investigations. In this experimental study we prepared stannyl and silyl derivatives of cyameluric acid (1 a): C6N7O3[Sn(C4H9)3]3 (3 a), C6N7O3[Sn(C2H5)3]3 (3 b), and C6N7O3[Si(CH3)3]3 (4). In order to investigate the structure of 1 a the mono- and dipotassium cyamelurate hydrates K(C6N7O3H2)2 H2O (5) and K2(C6N7O3H)1 H2O (6) were synthesized by UV/Vis-controlled titration of a potassium cyamelurate solution with aqueous hydrochloric acid. Compounds 3-6 were characterized by FTIR and solid-state NMR spectroscopy as well as simultaneous thermal analysis (TGA, DTA). The single crystal X-ray structures of the salts 5 and 6 show that the hydrogen atoms in both anions are localized on the peripheral nitrogen atoms. This indicates-in combination with the solid-state NMR studies-that the most stable tautomer of solid 1 a is the triketo form with C3h symmetry. However, derivatives of both the hydroxyl and the amido tautomers may be formed depending on the substituent atoms: The spectroscopic data and single crystal structures of compounds C6N7O3[Si(CH3)3]3 (4) and the solvate C6N7O3[Sn(C2H5)3]3C2H4Cl2 (3 b') show that the former is derived from the symmetric trihydroxy form of 1 a, while 3 b' crystallizes as a chain-like polymer, which contains the tin atoms as multifunctional building blocks, that is, bridging pentacoordinated Et3SnO2 and Et3SnON units as well as non-bridging four-coordinated Et3SnN units. The cyameluric nucleus is part of the polymeric chains of C6N7O3[Sn(C2H5)3]3C2H4Cl2 (3 b'), by the action of both tautomeric forms of cyameluric acid, the amide and the ester form.     

A metaheuristic approach to solving a multiproduct EOQ-based inventory problem with storage space constraints

This paper considers the well-known static time-continuous multiproduct economic order quantity (EOQ) based inventory management problem with the storage space constraints. This problem is modelled as a combinatorial optimization problem in the corresponding dynamic discrete time system control process. In order to solve this problem approximately, we developed two heuristics: a special heuristic based on a local search technique and a metaheuristic procedure based on the variable neighbourhood search principle. The efficiency of two heuristics is preliminary examined and compared on several randomly generated instances with the same number of products.     

Nucleic Acid Driven DNA Machineries Synthesizing Mg2+‐Dependent DNAzymes: An Interplay between DNA Sensing and Logic‐Gate Operations

Polymerase/nicking enzymes and nucleic‐acid scaffolds are implemented as DNA machines for the development of amplified DNA‐detection schemes, and for the design of logic gates. The analyte nucleic acid target acts, also, as input for the logic gates. In the presence of two DNA targets, acting as inputs, and appropriate DNA scaffolds, the polymerase‐induced replication of the scaffolds, followed by the nicking of the replication products, are activated, leading to the autonomous synthesis of the Mg²⁺‐dependent DNAzyme or the Mg²⁺‐dependent DNAzyme subunits. These biocatalysts cleave a fluorophore/quencher‐functionalized nucleic‐acid substrate, thus providing fluorescence signals for the sensing events or outputs for the logic gates. The systems are used to develop OR, AND, and Controlled‐AND gates, and the DNA‐analyte targets represent two nucleic acid sequences of the smallpox viral genome.     

Chemical imaging of glucose by CARS microscopy

Glucose is one of the most fundamental molecules within life and bioengineering sciences. Present understanding of its role in cellular and bioengineering processes relies primarily on invasive, large‐scale biochemical analysis, providing no spatial information on glucose pools or fluxes. This work identifies an emerging microscopy technique based on coherent anti‐Stokes Raman scattering (CARS), which fulfills the need of quantitative imaging of glucose at the single‐cell level with submicrometer resolution. No sample preparation with reporter molecules is required, ensuring that the low‐weight metabolite is studied under natural conditions. The potential of CARS microscopy is illustrated by quantitatively mapping glucose fluxes and distributions in a microfluidic bioreactor and in lipid‐bilayer vesicles, the latter as a model for glucose transmembrane transport. Furthermore, the metabolic response to a glucose pulse was monitored in living yeast cells. This study signifies a new era within CARS microscopy for its use of monitoring carbohydrates, in particular glucose which is one of the most abundant molecules in nature. Copyright © 2010 John Wiley & Sons, Ltd.     

Numerical Treatment of Second Order Differential-Algebraic Systems

We consider the numerical treatment of systems of second order differential-algebraic equations (DAEs). The classical approach of transforming a second order system to first order by introducing new variables can lead to difficulties such as an increase in the index or the loss of structure. We show how we can compute an equivalent strangeness-free second order system using the derivative array approach and we present Runge-Kutta methods for the direct numerical solution of second order DAEs. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)