The Capacity of Adaptive Group Testing

We define capacity for group testing problems and deduce bounds for the capacity of a variety of noisy models, based on the capacity of equivalent noisy communication channels. For noiseless adaptive group testing we prove an information-theoretic lower bound which tightens a bound of Chan et al. This can be combined with a performance analysis of a version of Hwang's adaptive group testing algorithm, in order to deduce the capacity of noiseless and erasure group testing models.Comment: 5 page

Ultrasound-based techniques in diabetic bone disease: State of the art and future perspectives

Bone fragility is increasingly recognized as an important complication of diabetes mellitus (DM), and both type 1 (T1DM) and type 2 (T2DM) diabetes are associated with a higher risk of fracture. The causes of bone fragility in diabetic patients are not yet fully understood; probably they are linked to low bone mineral density (BMD), poor bone quality due to the alterations in bone remodelling, microarchitecture and composition of the bone matrix. Quantitative ultrasound (QUS) is a validated, low-cost and free ionizing radiation alternative to DXA measurement of BMD for the assessment of fracture risk. The results obtained by using QUS in T1DM and T2DM have been summarized and reported in this review. QUS technique presents some benefits but also some limits. These limits could be overcome by radiofrequency echographic multispectrometry (REMS) that is a non-ionizing technology recently introduced for the assessment of bone status that can also calculate parameters related to bone quality and strength. Therefore, REMS may represent a promising approach to evaluate bone status and fragility fracture risk in DM subjects

In search of the Burdigalian GSSP: new evidence from the Contessa Section (Italy)

The Contessa Section is a reference section for the early Miocene in the Mediterranean. Along this 36 m thick section 115 samples were collected and analysed for an integrated bio-magnetostratigraphic study through the Scaglia Cinerea and Bisciaro formations. Planktonic foraminifera were analysed semi-quantitatively, while calcareous nannofossils were examined using the standard quantitative method. A reliable biozonation for both fossil groups was then accomplished. The paleomagnetic analyses identified a sequence of magnetozones, then correlated with the ATNTS using the calcareous plankton bioevents. The investigated interval extends from foraminiferal Zone P22 (Chattian) to MMi2c (Burdigalian) and from calcareous nannofossils Zone MNP25a to MNN3a, thus from Chron C7An to C5En. Therefore, the section chronologically spans from 24.80 Ma to 18.10 Ma. Three hiatuses were recognised along the section: H1 at 0.63 m from the base (comprising a minimum time interval from 24.36 Ma to 23.38 Ma), H2 at 12.33 m (between 21.80 Ma and 21.35 Ma) and H3 at 34.03 (between 19.21 Ma and 18.40 Ma). All three hiatuses were correlated with regional megahiatuses identified in the North Atlantic Ocean and in the Paratethys area. Furthermore, the First Occurrence of the calcareous nannofossil Helicosphera ampliaperta is recognised within Chron C6An.2n at 19.77 m from the base (6 m above the volcaniclastic Raffaello Level). This event provisionally defines the Aquitanian/Burdigalian boundary according to the literature. Thus, the Contessa Section is a possible candidate for the definition of the Burdigalian Global Stratigraphic Section and Point. Finally, the age of the Raffaello Level (a regional marker horizon for the early Miocene) is discussed in this new integrated stratigraphic framework, falling in Chron C6AAn and dated between 21.09 Ma and 21.08 Ma