Ruin excursions, the G/G/Infinity queue and tax payments in renewal risk models

In this paper we investigate the number and maximum severity of the ruin excursion of the insurance portfolio reserve process in the Cramer-Lundberg model with and without tax payments. We also provide a relation of the Cramer-Lundberg risk model with the G/G/infinity queue and use it to derive some explicit ruin probability formulae. Finally, the renewal risk model with tax is considered, and an asymptotic identity is derived that in some sense extends the tax identity of the Cramer-Lundberg risk model

Management of atherosclerotic extracranial carotid artery stenosis

Atherosclerosis leading to stenosis of the internal carotid artery is the underlying cause of 8–15% of ischaemic strokes (symptomatic carotid stenosis). 1–2% of the adult population have asymptomatic carotid stenosis. Clinical trials in patients with symptomatic carotid stenosis showed a higher procedural risk of non-disabling stroke with stenting versus endarterectomy, but a higher risk of myocardial infarction, cranial nerve palsy, and access site haematoma with endarterectomy. Apart from procedural complications, both treatments are equally effective in preventing stroke and recurrent severe carotid stenosis in the medium-to-long term. Endarterectomy has a modest effect in preventing stroke among patients with asymptomatic carotid stenosis, whereas the role of stenting remains to be established. With advances in medical therapy against atherosclerosis, benefit from invasive therapy has become uncertain. Risk modelling, with the inclusion of brain and carotid plaque imaging, will become increasingly important in selecting patients for interventions

Application of Time Domain Reflectometers in Urban Settings

Time domain reflectometers (TDRs) are in-situ monitoring probes that record soil moisture content when calibrated to a particular soil. Typically TDRs are used in agricultural settings, but this technology may also be applied to urban soils. The Urban Watershed Management Branch located at the Edison Environmental Center (EEC) has been exploring the use of TDRs as a way to monitor stormwater infiltration practices. TDRs are installed in pilot- and full-scale bioretention units (e.g., rain gardens). The TDRs are capable of measuring soil moisture and sensing the wetting front as the stormwater infiltrates through the planting media and into the native soil. Recently, a new permeable pavement parking lot was constructed at the EEC. This parking lot was designed for long-term monitoring and included the installation of TDRs, both in the crushed concrete storage layer and in the underlying soil. Early indications suggest that while this novel application of TDRs in crushed concrete may not provide calibrated moisture content, wetting fronts correspond to those of the TDRs in soils. Extensive bench-scale testing was performed in crushed concrete prior to the permanent installation below the paved surfaces as a proof of concept test. Application of this technology may be suitable to urban areas that are interested in modifying tree pit design, controlling stormwater through rain gardens and porous pavements, or using manufactured or engineered soils, and seek or require supporting data that water is infiltrating and available to plants

Isolation and characterization of kinetoplast DNA from bloodstream form of Trypanosoma brucei

We have used restriction endonucleases PstI, EcoRI, HapII, HhaI, and S1 nuclease to demonstrate the presence of a large complex component, the maxi-circle, in addition to the major mini-circle component in kinetoplast DNA (kDNA) networks of Trypanosoma brucei (East African Trypanosomiasis Research Organization [EATRO] 427). Endonuclease PstI and S1 nuclease cut the maxi-circle at a single site, allowing its isolation in a linear form with a mol wt of 12.2 x 10(6), determined by electron microscopy. The other enzymes give multiple maxi-circle fragments, whose added mol wt is 12-13 x 10(6), determined by gel electrophoresis. The maxi-circle in another T. brucei isolate (EATRO 1125) yields similar fragments but appears to contain a deletion of about 0.7 x 10(6) daltons. Electron microscopy of kDNA shows the presence of DNA considerably longer than the mini-circle contour length (0.3 micron) either in the network or as loops extending from the edge. This long DNA never exceeds the maxi-circle length (6.3 microns) and is completely removed by digestion with endonuclease PstI. 5-10% of the networks are doublets with up to 40 loops of DNA clustered between the two halves of the mini-circle network and probably represent a division stage of the kDNA. Digestion with PstI selectively removes these loops without markedly altering the mini-circle network. We conclude that the long DNA in both single and double networks represents maxi-circles and that long tandemly repeated oligomers of mini-circles are (virtually) absent. kDNA from Trypanosoma equiperdum, a trypanosome species incapable of synthesizing a fully functional mitochondrion, contains single and double networks of dimensions similar to those from T. brucei but without any DNA longer than mini-circle contour length. We conclude that the maxi-circle of trypanosomes is the genetic equivalent of the mitochondrial DNA (mtDNA) of other organisms

Noise in neurons is message-dependent

Neuronal responses are conspicuously variable. We focus on one particular aspect of that variability: the precision of action potential timing. We show that for common models of noisy spike generation, elementary considerations imply that such variability is a function of the input, and can be made arbitrarily large or small by a suitable choice of inputs. Our considerations are expected to extend to virtually any mechanism of spike generation, and we illustrate them with data from the visual pathway. Thus, a simplification usually made in the application of information theory to neural processing is violated: noise {\sl is not independent of the message}. However, we also show the existence of {\sl error-correcting} topologies, which can achieve better timing reliability than their components.Comment: 6 pages,6 figures. Proceedings of the National Academy of Sciences (in press

An unidentified TeV source in the vicinity of Cygnus OB2

Deep observation (∼113 hrs) of the Cygnus region at TeV energies using the HEGRA stereoscopic system of air Čerenkov telescopes has serendipitously revealed a signal positionally inside the core of the OB association Cygnus OB2, at the edge of the 95% error circle of the EGRET source 3EG J2033+4118, and ∼0.5° north of Cyg X-3. The source centre of gravity is RA αJ2000: 20hr32m07s± 9.2stats±2.2syss, Dec δJ2000: +41°30′30″2.0stat±0.4′sys. The source is steady, has a post-trial significance of +4.6σ, indication for extension with radius 5.6′ at the ∼3σ level, and has a differential power-law flux with hard photon index of - 1.9 ± 0.3stat ± 0.3sys. The integral flux above 1 TeV amounts ∼3% that of the Crab. No counterpart for the TeV source at other wavelengths is presently identified, and its extension would disfavour an exclusive pulsar or AGN origin. If associated with Cygnus OB2, this dense concentration of young, massive stars provides an environment conducive to multi-TeV particle acceleration and likely subsequent interaction with a nearby gas cloud. Alternatively, one could envisage γ-ray production via a jet-driven termination shock.F. A. Aharonian, ... G. P. Rowell, ... [et al