Duality for a Lorentz quantum group

We give the algebra _q ^/* dual to the matrix Lorentz quantum group _q of Podles-Woronowicz, and Watamuraet al. As a commutation algebra, it has the classical form _q ^/* U _q (sl(2, )) U _q (sl(2, )). However, this splitting is not preserved by the coalgebra structure which we also give. For the derivation, we use a generalization of the approach of Sudbery, viz. tangent vectors at the identity.     

Quantum harmonic oscillator algebras as non-relativistic limits of multiparametric gl(2) quantizations

Multiparametric quantum gl(2) algebras are presented according to a classification based on their corresponding Lie bialgebra structures. From them, the non-relativistic limit leading to quantum harmonic oscillator algebras is implemented in the form of generalized Lie bialgebra contractions.     

Synthesis and physico-chemical studies of some polynuclear mixed carboxylate complexes of nickel(II)

A number of polynuclear mixed carboxylates of nickel(II) with the general composition [Ni(OOCCH₃)_2–n (OOCR) _n ] _x (whereR=C₁₃H₂₇, C₁₅H₃₁, C₁₇H₃₅ and C₂₁H₄₃ andn=1 or 2) have been synthesized by the transacylation reactions of anhydrous nickel acetate with higher carboxylic acids in refluxing toluene. On recrystallization from benzene-alcohol mixtures, mono-alcoholate complexes, Ni(OOCCH₃)_2–n (OOCR) _n ·ROH (whereR=CH₃ and C₂H₅) have been isolated. All these derivatives have been characterized by the molecular weight determinations, infra-red and electronic reflectance spectra and magnetic susceptibility measurements.

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Synthese und Eigenschaften einiger gemischter Carboxylat-Komplexe von Nickel(II)

Zusammenfassung Komplexe des Typs [Ni(OOCCH₃)_2–n (OOCR) _n ] _x (mitR=C₁₃H₂₇, C₁₅H₃₁, C₁₇H₃₅ und C₂₁H₄₃,n=1 oder 2) wurden aus wasserfreiem Nickelacetat mit höheren Carbonsäuren in siedendem Toluol erhalten. Bei der Kristallisation aus Benzol-Alkohol-Mischungen wurden Monoalkoholate Ni(OOCCH₃)_2–n (OOCR) _n ·ROH (mitR=CH₃ und C₂H₅) isoliert. Die Charakterisierung der Komplexe erfolgte mittels Molekulargewichtsbestimmung, Infrarot- und Elektronenspektren und der Messung der magnetischen Susceptibilität.

     

Synthesis and Enzyme Inhibitory Activities of Highly Functionalized Pyridylmethyl-C-β-D-Glycosides

Several pyridylmethyl-C-β-D-glycosides (3a–3l, 6a, and 6h) were synthesized by refluxing 3-(β-D-glucopyranosyl)/(β-D-cellobiosyl)-propanones and dicyanobenzylidenes with ammonium acetate in anhydrous toluene in moderate to good yields. The reaction involves a C?C Michael addition of enamine, formed from glycosyl ketone and ammonium acetate, to the dicayanobenzylidene derivative; subsequent dehydrative cyclization; and oxidative aromatization. Two of these prototypes, compounds 3e and 3k, were deacetylated to the respective glucopyranosyl methyl pyridines 4e and 4k with NaOMe/MeOH. The synthesized compounds were screened for their in vitro α-glucosidase inhibitory activities and one of the compounds showed 20% inhibition as compared to standard drug acarbose displaying 39% inhibition.     

Application of butenonyl-C-glucosides in the synthesis of pyrazolinyl-, aminopyrimidinyl- and biphenyl methyl-��-d-C-glucopyranosides

An access to different glycohybrids involving nucleophilic addition of N- and C-nucleophiles to the butenonyl glycosides followed by cyclization and subsequent reactions is reported. In the present communication, three different prototypes, β-D-glucopyranosylmethyl pyrazolines, β-D-glucopyranosylmethyl pyrimidines and β-D-glucopyranosylmethyl biphenyls, were prepared in moderate to good yields.     

Ferulic Acid: A Natural Phenol That Inhibits Neoplastic Events through Modulation of Oncogenic Signaling

Despite the immense therapeutic advances in the field of health sciences, cancer is still to be found among the global leading causes of morbidity and mortality. Ethnomedicinally, natural bioactive compounds isolated from various plant sources have been used for the treatment of several cancer types and have gained notable attention. Ferulic acid, a natural compound derived from various seeds, nuts, leaves, and fruits, exhibits a variety of pharmacological effects in cancer, including its proapoptotic, cell-cycle-arresting, anti-metastatic, and anti-inflammatory activities. This review study presents a thorough overview of the molecular targets and cellular signaling pathways modulated by ferulic acid in diverse malignancies, showing high potential for this phenolic acid to be developed as a candidate agent for novel anticancer therapeutics. In addition, current investigations to develop promising synergistic formulations are also discussed.     

Asynchronous replica exchange for molecular simulations

An asynchronous implementation of the replica exchange method that addresses some of the limitations of conventional synchronous replica exchange implementations is presented. In asynchronous replica exchange pairs of processors initiate and perform temperature replica exchanges independently from the other processors, thereby removing the need for processor synchronization found in conventional synchronous implementations. Illustrative calculations on a molecular system are presented that show that asynchronous replica exchange, contrary to the synchronous implementation, is able to utilize at nearly top efficiency loosely coupled pools of processors with heterogeneous speeds, such as those found in computational grids and CPU scavenging environments. It is also shown that employing non-nearest-neighbor temperature exchanges, which are straightforward to implement within the asynchronous algorithm, can lead to faster temperature equilibration across processors.