On Aging of Acid-Catalyzed Silica Sols—A Dynamic Light Scattering Study

Dynamic light scattering experiments in acid-catalyzed silica sols are discussed. It is shown that in spite of limited parameter accuracy and limited absolute knowledge of the particle sizes, the scattering data from various experiments are comparable with one another and give information about structural differences. Measurements at various angles indicate changes between non-spherical and nearly spherical particles and allow the estimation of gelling times before gelation.     

Lower bounds for faithful,preinjective modules

Let be the path algebra for some representation-infinite quiver over some field k. There exists a bound such that ^mI is faithful for all indecomposable injective -modules I and all , and such that there exists an indecomposable injective -module J satisfying that J is not faithful, denotes the Auslander-Reiten-translation. Let m() be the maximum of the taken over all possible orientations of the underlying graph . In this article we determine the bounds m() for representation-infinite quivers for which is a tree.     

Measurements of FRET in a glucose-sensitive affinity system with frequency-domain lifetime spectroscopy

We report measurements of fluorescence resonance energy transfer (FRET) for glucose sensing in an established concanavalin A–dextran affinity system using frequency‐domain lifetime spectroscopy. A dextran (MW 2000000) labeled with a small fluorescent donor molecule, Alexa Fluor 568, was used to competitively bind to a sugar‐binding protein, concanavalin A, labeled with acceptor molecule, Alexa Fluor 647, in the presence of glucose. The FRET‐quenching kinetics of the donor were analyzed from frequency‐domain measurements as a function of both glucose and acceptor‐protein concentrations using a Förster‐type decay kinetics model. The results show that the frequency‐domain measurements and donor decay kinetics can quantitatively indicate changes in the competitive binding of 0.09 μM dextran to labeled concanavalin A at a solution concentration of 10.67 μM in the presence of glucose at concentrations ranging from 0 to 224 mg/dL.