On the Auslander-Reiten Periodicity of Self-Injective Algebras

This paper investigates how to relate the syzygy periodicityof a self-injective algebra A to its Auslander–Reitenperiodicity. Moreover, a characterization is provided of theAuslander–Reiten bounded A–A-bimodules that areperiodic. 2000 Mathematics Subject Classification 16G70, 16E40(primary), 16G20 (secondary).     

A new invariant of stable equivalences of Morita type

It was proved in an earlier paper by the author that the Hochschild cohomology algebras of self-injective algebras are invariant under stable equivalences of Morita type. In this note we show that the orbit algebra of a self-injective algebra (considered as an --bimodule) is also invariant under stable equivalences of Morita type, where the orbit algebra is the algebra of all stable --bimodule morphisms from the non-negative Auslander-Reiten translations of to .

     

Effects of Metallic Silver Particles on Resonance Energy Transfer Between Fluorophores Bound to DNA

We examined the effects of metallic silver island films on resonance energy transfer (RET) between a donor and acceptor bound to double helical DNA. The donor was 4',6-diamidino-2-phenylindole (DAPI) and the acceptor was propidium iodide (PI). Proximity of the labeled DNA to the silver particles resulted in a dramatic increase in RET as seen from the emission spectra and the donor decay times. Proximity to silver particles results in an increase of the Förster distance from 35 Å an to an apparent value of 166 Å. These results suggest a new type of DNA hybridization assays based on RET over distances much longer than the free-space Forster distance.     

Advances in Surface-Enhanced Fluorescence

We report recent achievements in metal-enhanced fluorescence from our laboratory. Several fluorophore systems have been studied on metal particle-coated surfaces and in colloid suspensions. In particular, we describe a distance dependent enhancement on silver island films (SIFs), release of self-quenching of fluorescence near silver particles, and the applications of fluorescence enhancement near metalized surfaces to bioassays. We discuss a number of methods for various shaped silver particle deposition on surfaces.     

Metal-enhanced fluorescence: potential applications in HTS

Metallic surfaces and particles can have dramatic effects on fluorescence, including localized excitation, increased quantum yields, increased photostability and increased distances for resonance energy transfer (RET), and directional emission. While all these effects have not yet been realized in a single system, metal-enhanced fluorescence promises to provide the next generation of high sensitivity fluorescence assays for low copy number detection of biochemical species.     

Studies on the Adamantylation of N-Heterocycles and Nucleosides

Adamantylation of several N-heterocycles and of two ribonucleosides (uridine and toyocamycin) was studied. The exact substitution position by the adamantyl carbocation generated from adamantan-1-ol in CF₃COOH depends on the nature of the heterocyclic substrate. Thus, adamantylation of an additional exocyclic amino group (see Scheme 1), N-adamantylation of the heterocycle (Scheme 2), C-adamantylation of the heterocycle (Scheme 3), as well as the formation of heterocyclic N-adamantylcarboxamides via the Ritter reaction (Scheme 4) are possible. The structures of the reaction products were determined by means of elemental analysis and NMR, UV, and IR spectroscopy.     

Effects of biosurfactants on surface properties of hematite

Application of microorganisms as surface modifiers has focused our attention in recent times. The adsorption of biosurfactants can be a way for the solid surface modification. In the present investigation rhamnolipids produced by Pseudomonas aerugiosa were used to make the hematite surface modification. Experiments were carried out with pure mineral hematite. In this paper, the influence of biosurfactant addition on both the stability and the flotability of hematite suspensions has been studied in detail. The stability experiments were conducted using Turbiscan LAb apparatus, at constant pH conditions and mineral amount. The flotation experiments were carried out using Hallimond tube. The adsorption isotherms of biosurfactant onto the hematite particles were also determined. The experiments were carried out with broth and pure rhamnolipid. The results of those experiments were compared and discussed.     

Applications of the thermal analysis in preparation and investigation of the ceramic ferroics and multiferroics

Results of investigations on selected ceramic ferroics and multiferroics by TA method were presented. The authors of the work used the thermal analysis both to optimize a process of producing the ceramic ferroics and multiferroics and to examine phase transitions in that type of materials. In the case of synthesis of the ferroics and multiferroics as a result of sintering of a mixture of simple oxides, the TA method enables to determine the optimum synthesis temperature and temperatures of re-crystallization and disintegration of compounds and solid solutions. In the case of the sol–gel method, temperatures of dehydratization, burning of an organic phase, and crystallization of an amorphous powder formed from the residual gel were determined by the TA method. The TA method was also used to control a process of compacting and sintering the powders at high temperatures (T _s > 1,200 K), thus in a process of ceramic specimen formation. During rapid phase transitions, the ferroelectric specimens of a first type emit (in the cooling process) or absorb (in the heating process) so called latent heat of the phase transitions. On the DTA courses, it may be manifested in a form of exo- or endothermic peaks in the Curie temperature area (T _C). The test materials included the ferroelectric ceramics of composition x/65/35 PLZT (ferroic for x < 9 at%) and mixed bismuth oxide layered perovskites (M-BOLP) of composition Bi₅TiNbWO₁₅ with <m> = 1.5 and the mutliferroic Pb(Fe_1−x Nb _x )O₃ ceramics (PFN) and Bi₅TiFeO₁₅ (BTF).     

Ratiometric FRET-based detection of DNA and micro-RNA in solution

A ratiometric method for detecting DNA oligomers in bulk solution based on Förster resonance energy transfer (FRET) is described. The two fluorescence signals (green and red), originating from Cy3 (donor, green) and Cy5 (acceptor, red) labels, are simultaneously detected from the pre-hybridized Cy3oligomerY:Cy5oligomerX system. The ratio of red to green intensities is sensitive to the presence of the single-stranded complimentary oligomer, which replaces single-stranded Cy3oligomerY in the donor:acceptor complex and perturbs the FRET. The detection scheme is generally applicable to the detection of DNA and RNA, and particularly micro-RNA. The proposed method is applicable to various double-stranded various lengths targets (manipulation of the sample preparation conditions, such as temperature, incubation time, denaturizing agent, may be needed).     

Ratiometric FRET-based detection of DNA and micro-RNA on the surface using TIRF detection

A new FRET-based method for the ratiometric detection of DNA oligomers on a surface using TIRF detection mode is reported. The dual-labeled system consisting of two hybridized oligomers, Cy3oligoY:Cy5oligoX was immobilized on the surface, and the total internal reflection fluorescence (TIRF) was used to detect emission signals from the surface. Two signals, green and red, which originated from the green donor Cy3 and the red acceptor Cy5, have been simultaneously detected. When the target single-stranded complimentary oligomer was present in the solution, this oligomer replaced the Cy3oligoY in the donor:acceptor complex on the surface and the ratio of red-to-green signal was dramatically changed. This detection scheme is generally applicable to the detection of DNA or RNA on a surface.