On generalizations of Fatou's theorem for the integrals with general kernels

We define $\lambda(r)$-convergence, which is a generalization of nontangential convergence in the unit disc. We prove Fatou-type theorems on almost everywhere nontangential convergence of Poisson-Stiltjes integrals for general kernels $\{\varphi_r\}$, forming an approximation of identity. We prove that the bound \md0 \limsup_{r\to 1}\lambda(r) \|\varphi_r\|_\infty<\infty \emd is necessary and sufficient for almost everywhere $\lambda(r)$-convergence of the integrals \md0 \int_\ZT \varphi_r(t-x)d\mu(t). \emdComment: 14 page

26th Annual Computational Neuroscience Meeting (CNS*2017): Part 3 - Meeting Abstracts - Antwerp, Belgium. 15–20 July 2017

This work was produced as part of the activities of FAPESP Research,\ud Disseminations and Innovation Center for Neuromathematics (grant\ud 2013/07699-0, S. Paulo Research Foundation). NLK is supported by a\ud FAPESP postdoctoral fellowship (grant 2016/03855-5). ACR is partially\ud supported by a CNPq fellowship (grant 306251/2014-0)

Optimisation of the preservation conditions for molecularly imprinted polymer nanoparticles specific for trypsin

The influence of lyophilisation, autoclaving and sonication on the stability and performance of trypsin-specific molecularly imprinted polymer nanoparticles (MIP NPs) has been studied in order to improve their long-term physical stability. Glucose, glycine, sorbitol and trehalose were tested as cryoprotectant agents during the lyophilisation treatment. The effect of lyophilisation and sterilisation on affinity of trypsin-specific NPs was assessed using Biacore 3000 instrument. The results have demonstrated that MIP NPs successfully withstood the lyophilisation and autoclaving conditions without a reduction of their recognition properties and affinity. It is possible to conclude that both tested lyophilisation and sterilisation treatments were suitable for a long-term storage of the prepared MIP NPs and could be used to store MIP NPs in dry state and hence reduce the chance of the bacterial contamination. An effective preservation of the MIP NPs is a crucial requirement for their future applications in the clinical diagnostics and bioimaging

Advanced picosecond precision Radio Frequency Timer

International audienceA new type of radio frequency (RF) timing technique is presented. It is based on a helical deflector, which performs circular or elliptical sweeps of photo- or secondary electrons, accelerated to keV energies, by means of RF fields in the 500–1000 MHz range. By converting a time distribution of the electrons to a hit position distribution on a circle or ellipse, this device achieves extremely precise timing, similar to streak cameras. Detection of the scanned electrons, using a position sensitive detector based on microchannel plates and a delay line anode, resulted in a timing resolution of 10 ps, which can be potentially improved to 1 ps. RF-Timer-based single photon and heavy ion detectors have potential applications in different fields of science and industry, which include high energy nuclear physics and imaging technologies. This technique could play a crucial role in developing of sub 10 ps Time-of-Flight Positron Emission Tomography