Design and synthesis of a fluorescent reporter of protein kinase activity

There is widespread interest in developing fluorescent reporters of protein kinase activity, species that can furnish a visual readout of both when and where intracellular kinases are activated in response to a stimulus. We have constructed and identified, via a combination of rational design, library synthesis, and screening, a difluorofluorescein-appended peptide-based species that responds to protein kinase C phosphorylation in a fluorescently sensitive fashion. The phosphorylation-induced divalent metal ion-mediated 265% enhancement in fluorescence proceeds with a V(max) of 8.5 micromol/min.mg and a K(m) of 20.5 microM.     

Positron lifetimes in proton-irradiated silicon

Substantial extensions of the shorter of two positron lifetimes in p-type silicon upon proton irradiations have been observed, showing that some induced defects can act as traps for positrons. The mean electron density of the defect has been found to be about 30 per cent less than that in the perfect part of the crystal. The result demonstrates that the positron-lifetime measurement is a useful tool for studying defects in semiconductors.     

Exact multiplicity and ordering properties of positive solutions of a p-Laplacian Dirichlet problem and their applications

We study the exact multiplicity and ordering properties of positive solutions of the p-Laplacian Dirichlet problem

     

Some Limit Theorems in Geometric Processes

Geometric process (GP) was introduced by Lam[4,5], it is defined as a stochastic process {Xn, n = 1, 2,…} for which there exists a real number a > 0, such that {an-1 Xn, n = 1,2, …} forms a renewal process (RP). In this paper, we study some limit theorems in GP. We first derive the Wald equation for GP and then obtain the limit theorems of the age, residual life and the total life at t for a GP. A general limit theorem for Sn with a > 1 is also studied. Furthermore, we make a comparison between GP and RP, including the comparison of their limit distributions of the age, residual life and the total life at t.     

Invariant Subspace Approach to Linear H∞-Control via Measurement Feedback

This paper analyzes, and thus reveals the structure of the stable invariant subspace of the related Hamiltonian matrix arising from the measurement feedback H -control problem. Using this, it presents another method for the verification of the admissibility of the controller derived by Doyle et al. in 1989. The method not only eliminates unnecessary assumptions on stabilizability and detectability, but also gives deeper insight into the relationship among the stable parts of the associated matrices.     

Photoinduced two-dimensional gratings based on dye-doped cholesteric liquid crystal films

This work elucidates photoinduced two-dimensional (2D) gratings in dye-doped cholesteric liquid crystal films. The helical pitch is increased by green-beam-induced trans-cis isomerization and a concomitant thermal effect. Two-dimensional gratings appear when the green beam is turned off. Grating formation results from elastic instability caused by restored strain arising from helical pitch reduction. Grating lifetime increases as green beam intensity increases and declines under irradiation with a strong red beam. Variation in grating spacing with green intensity with various pitches is also examined.     

Experimental observation of the slowdown of optical beams by a volume-index grating in a photorefractive LiNbO3 crystal

We investigate the group velocity of light in a one-dimensional volume-index grating inside a photorefractive LiNbO>(3) crystal. The slowdown of the group electromagnetic propagation is observed experimentally by tuning of the wave number of the optical beam close to the outside edge of the forbidden bandgap. We obtain a large group index of up to 7.5 in a 3.5-cm crystal sample. The group index is compared with the result of a theoretical derivation. The results are presented and discussed.