Mutual Unbiasedness in Coarse-grained Continuous Variables

The notion of mutual unbiasedness for coarse-grained measurements of quantum continuous variable systems is considered. It is shown that while the procedure of "standard" coarse graining breaks the mutual unbiasedness between conjugate variables, this desired feature can be theoretically established and experimentally observed in periodic coarse graining. We illustrate our results in an optics experiment implementing Fraunhofer diffraction through a periodic diffraction grating, finding excellent agreement with the derived theory. Our results are an important step in developing a formal connection between discrete and continuous variable quantum mechanics.Comment: 5 pages, 3 figures + Supplemental Material (1 page) v2: Introduction expanded, minor typos correcte

Feasibility of simultaneous PET/MR imaging in the head and upper neck area

Objective: The aim of this pilot study was to test and demonstrate the feasibility of simultaneous positron emission tomography (PET) and magnetic resonance imaging (MRI) of the head and upper neck area using a new hybrid PET/MRI system. Methods: Eight patients with malignant head and neck tumours were included in the pilot study. Directly after routine PET/CT imaging with a whole-body system using the glucose derivative 2-[18F]fluoro-2deoxy-D-glucose (FDG) as a radiotracer additional measurements were performed with a prototype PET/MRI system for simultaneous PET and MR imaging. Physiological radiotracer uptake within regular anatomical structures as well as tumour uptake were evaluated visually and semiquantitatively (metabolic ratios) in relation to cerebellar uptake on the PET/MRI and PET/CT systems. Results: The MR datasets showed excellent image quality without any recognisable artefacts caused by the inserted PET system. PET images obtained with the PET/MRI system exhibited better detailed resolution and greater image contrast in comparison to those from the PET/CT system. An excellent agreement between metabolic ratios obtained with both PET systems was found: R = 0.99 for structures with physiological tracer uptake, R = 0.96 for tumours. Conclusion: Simultaneous PET/MRI of the head and upper neck area is feasible with the new hybrid PET/MRI prototyp

Functionalized carbon nanotubes as transporters for antisense oligodeoxynucleotides

The use of DNA-based therapeutics requires efficient delivery systems to transport the DNA to their place of action within the cell. To accomplish this, we investigated multiwalled carbon nanotubes (pristine MWCNT, p-MWCNT) functionalized with hydroxyl groups via 1,3-dipolar cycloaddition. In this way, we have obtained MWCNT-f-OH with improved stability in aqueous dispersions which is an advantageous property for their use in cellular environments. Afterwards, a carrier strand oligodeoxynucleotide (CS-ODN) was adsorbed to MWCNT-f-OH followed by hybridization with a therapeutic antisense oligodeoxynucleotide (AS-ODN). The amount of adsorbed CS-ODN, as well as the complementary AS-ODN and a non-complementary oligodeoxynucleotide (NS-ODN) as reference, was directly measured by radionuclide labeling of ODNs. We show that subsequent release of AS-ODNs and NS-ODNs was possible for MWCNT-f-OH above the melting temperature of AS-ODNs at 80 °C and under physiological conditions at different pH values at 37 °C. We also show a very low influence of p-MWCNT and MWCNT-f-OH on the cell viability of the bladder carcinoma (BCa) cell line EJ28 and that both MWCNT types were internalized by EJ28. Therefore, MWCNT-f-OH represents a promising carrier able to transport and release AS-ODNs inside cells

Investigation of the Peptide Adsorption on ZrO₂, TiZr, and TiO₂ Surfaces as a Method for Surface Modification

Specific surface binding peptides offer a versatile and interesting possibility for the development of biocompatible implant materials. Therefore, eight peptide sequences were examined in regard to their adsorption on zirconium oxide (ZrO₂), titanium zircon (TiZr), and titanium (c.p. Ti). Surface plasmon resonance (SPR) measurements were performed on Ti coated sensor chips to determine the kinetics of the interactions and kinetic rate constants (<i>k</i>_on, <i>k</i>_off, <i>K</i>_D, and <i>R</i>_max). We also investigated the interactions which are present in our system. Electrostatic and coordinative interactions were found to play a major role in the adsorption process. Four of the eight examined peptide sequences showed a significant adsorption on all investigated materials. Moreover, the two peptides with the highest adsorption could be quantified (up to 370 pmol/cm²). For potential biomaterials applications, we proved the stability of the adsorption of selected peptides in cell culture media, under competition with proteins and at body temperature (37 °C), and their biocompatibility via their effects on the adhesion and proliferation of human mesenchymal stem cells (hMSCs). The results qualify the peptides as anchor peptides for the biofunctionalization of implants