Scale-free networks from varying vertex intrinsic fitness

A new mechanism leading to scale-free networks is proposed in this Letter. It is shown that, in many cases of interest, the connectivity power-law behavior is neither related to dynamical properties nor to preferential attachment. Assigning a quenched fitness value x(i) to every vertex, and drawing links among vertices with a probability depending on the fitnesses of the two involved sites, gives rise to what we call a good-get-richer mechanism, in which sites with larger fitness are more likely to become hubs (i.e., to be highly connected).     

1H and 13C NMR data,occurrence, biosynthesis,and biological activity of Piper amides

Alkamides are the major and characteristic chemical compounds of the plants belonging to the Piper genus. These compounds are responsible for the flavor of pepper spices and for its broad use in cuisine across many regions of the world. Humans are in contact every day with these substances, which additionally show a broad variety of pharmacological activities, making them an important research target. A large amount of NMR data for these natural products is dispersed throughout literature. Its organization will help those research groups interested in their identification and structural elucidation. This review summarizes the ¹H and ¹³C NMR data of 268 Piper amides in a systematic and orderly way, with a discussion on their biological activities, biosynthetic aspects, and NMR analysis of typical and relevant aspects of this information.     

Fe(III)-Catalyzed direct C3 chalcogenylation of indole: The effect of iodide ions

A mild and efficient iron (III)-catalyzed C3 chalcogenylation of indoles has been developed and the role of the iodide ions in this transformation was investigated. EPR experiments revealed the reduction of Fe(III) to Fe(II) under the reaction conditions, supporting the formation of molecular iodine in the system, which in effect catalyze the reaction. The scope of the chalcogenylation was broad and the synthesis of more functionalized 3-selenylindoles was explored.     

Corrigendum to “Gaussian bounds for degenerate parabolic equations” [J. Funct. Anal. 255 (2) (2008) 283–312]

We rectify an error in the proof of the Gaussian estimates for the heat kernel associated to certain weighted elliptic equations.     

Model‐Based Nanoengineered Pharmacokinetics of Iron‐Doped Copper Oxide for Nanomedical Applications

The progress in nanomedicine (NM) using nanoparticles (NPs) is mainly based on drug carriers for the delivery of classical chemotherapeutics. As low NM delivery rates limit therapeutic efficacy, an entirely different approach was investigated. A homologous series of engineered CuO NPs was designed for dual purposes (carrier and drug) with a direct chemical composition–biological functionality relationship. Model‐based dissolution kinetics of CuO NPs in the cellular interior at post‐exposure conditions were controlled through Fe‐doping for intra/extra cellular Cu²⁺ and biological outcome. Through controlled ion release and reactions taking place in the cellular interior, tumors could be treated selectively, in vitro and in vivo. Locally administered NPs enabled tumor cells apoptosis and stimulated systemic anti‐cancer immune responses. We clearly show therapeutic effects without tumor cells relapse post‐treatment with 6 % Fe‐doped CuO NPs combined with myeloid‐derived suppressor cell silencing.     

Structure and vibrational spectra of tungstovanadate compounds containing an anion of the Keggin type. The structure of the salt (C2N2H10)2[VW11V1O40]·6H2O

Institute of Inorganic Chemistry, Siberian Branch, Academy of Sciences of the USSR. Translated from Zhurnal Strukturnoi Khimii, Vol. 30, No. 3, pp. 82–87, May–June, 1989.     

A stochastic approach to global error estimation in ODE multistep numerical integration

In order to assess the quality of approximate solutions obtained in the numerical integration of ordinary differential equations related to initial-value problems, there are available procedures which lead to deterministic estimates of global errors. The aim of this paper is to propose a stochastic approach to estimate the global errors, especially in the situations of integration which are often met in flight mechanics and control problems. Treating the global errors in terms of their orders of magnitude, the proposed procedure models the errors through the distribution of zero-mean random variables belonging to stochastic sequences, which take into account the influence of both local truncation and round-off errors. The dispersions of these random variables, in terms of their variances, are assumed to give an estimation of the errors. The error estimation procedure is developed for Adams-Bashforth-Moulton type of multistep methods. The computational effort in integrating the variational equations to propagate the error covariance matrix associated with error magnitudes and correlations is minimized by employing a low-order (first or second) Euler method. The diagonal variances of the covariance matrix, derived using the stochastic approach developed in this paper, are found to furnish reasonably precise measures of the orders of magnitude of accumulated global errors in short-term as well as long-term orbit propagations.     

Fluorimetric determination of ammonia, hydrazine and hydroxylamine and their mixtures by differential kinetic methods

Summary A differential rate principle is described by the determination of binary mixtures involving synergistic effects and tested by determining mixtures of ammonia, hydrazine and hydroxylamine. The reagent 2-hydroxybenzaldehyde azine has been found to react with these amines via interchange reactions of =N-groups. The reactions were fluorimetrically monitored by using a common product, 2-hydroxybenzaldehyde hydrazone ( _ex=355 nm, _em=465 nm). Mixtures of these amines can be determined in different ratios with a r.s.d. of ±1.5%.

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Fluorimetrische Bestimmung von Ammoniak, Hydrazin und Hydroxylamin im Gemisch mit Hilfe von differentialkinetischen Verfahren

Zusammenfassung Das differentialkinetische Prinzip wird an Hand der Analyse binärer Gemische mit synergistischen Effekten beschrieben und auf die Bestimmung von Ammoniak, Hydrazin und Hydroxylamin angewendet. Das Reagens 2-Hydroxybenzaldehydazin reagiert mit diesen Aminen über Austauschreaktionen der =N-Gruppen. Die Reaktionen wurden fluorimetrisch über das 2-Hydroxy-benzaldehydhydrazon ( _ex=355 nm, _em=465 nm) ausgewertet. Mischungen können in verschiedenen Verhältnissen mit einer Standardabweichung von 1,5% analysiert werden.