An extension of Tanner's results on uncontrolled intersections

A delay formula is developed for the problem, analyzed by Tanner in 1962, where two streams of traffic have conflicting demands at an intersection. The situation is such that the major stream has absolute priority and the minor stream vehicles can only enter the intersection when sufficiently large gaps appear in the major stream. This paper extends Tanner's work by considering a generalised stochastic structure on the arrival streams. The paper also links Tanner's work to other papers of this author where the utilitarian value of this generalised model has been established in a wide range of traffic problems.     

Singular solutions of elliptic equations on a perturbed cone

In this work we obtain positive singular solutions of

$\{\begin{array}{ccc}?\mathrm{\Delta }u(y)\hfill & \hfill =\hfill & u{(y)}^p\text{ in }y\in {\mathrm{\Omega }}_t,\hfill \\ u\hfill & \hfill =\hfill & 0\text{ on }y\in ?{\mathrm{\Omega }}_t,\hfill \end{array}$

where ${\mathrm{\Omega }}_t$ is a sufficiently small $C^{2,\alpha }$ perturbation of the cone $\mathrm{\Omega }:=\{x\in {\mathbb{R}}^N:x=r\theta ,r>0,\theta \in S\}$ where $S?S^{N?1}$ has a smooth nonempty boundary and where $p>1$ satisfies suitable conditions. By singular solution we mean the solution is singular at the ‘vertex of the perturbed cone’. We also consider some other perturbations of the equation on the unperturbed cone Ω and here we use a different class of function spaces.     

A bivariate exponential distribution arising in random geometry

Summary In this paper a new bivariate exponential distribution, arising naturally in the theory of Poisson line processes, is studied. The distribution has some interesting and useful properties which renders it suitable for use in statistical modelling work. It is presented in the spirit of adding to the repertoire of bivariate exponential forms. It joins other models, such as those of Downton (1970,J. R. Statist. Soc., B,32, 408–417), Marshall and Olkin (1967,J. Appl. Prob.,4, 291–302) and Nagao and Kadoya (1971,Bulletin of the Disaster Prevention Research Institute,20, 3, 183–215), which have their origins in the theory of stochastic processes.     

Influence of charge and structure on the coordination chemistry of copper aminoglycosides

Aminoglycosides are a family of molecules based on a 2-deoxystreptamine ring that is functionalized with a variety of sugar units that contain vicinal amine and hydroxyl functionality. These positively-charged amines promote selective high affinity binding to bacterial 16 s rRNA with resultant antibacterial activity. Aminoglycosides have also been shown to selectively target a variety of therapeutically relevant RNA motifs, and in combination with copper to promote irreversible degradation of the RNA target. The presence of multiple hydroxyl and amine groups on multiple rings creates many potential copper coordination sites. However, only a small subset of these sites actually bind copper, which have not been clearly defined experimentally, Herein we describe a more extensive structural characterization of the complexes of six aminoglycosides (kanamycin A, kanamycin B, neomycin B, neamine, tobramycin and paromomycin) that provide insights on the factors contributing to the coordination selectivity of aminoglycosides toward divalent copper. The presence of vicinal ligand donors capable of chelating the copper ion appears to be a prerequisite for stable metal binding, with charge density providing further tuning of the K(D). A possible role for metal coordination in antibacterial activity is also considered.     

A compact solution for ion beam therapy with laser accelerated protons

The recent advancements in the field of laser-driven particle acceleration have made Laser-driven Ion Beam Therapy (L-IBT) an attractive alternative to the conventional particle therapy facilities. To bring this emerging technology to clinical application, we introduce the broad energy assorted depth dose deposition model which makes efficient use of the large energy spread and high dose-per-pulse of Laser Accelerated Protons (LAP) and is capable of delivering homogeneous doses to tumors. Furthermore, as a key component of L-IBT solution, we present a compact iso-centric gantry design with 360° rotation capability and an integrated shot-to-shot energy selection system for efficient transport of LAP with large energy spread to the patient. We show that gantry size could be reduced by a factor of 2–3 compared to conventional gantry systems by utilizing pulsed air-core magnets.     

Traveling-wave Thomson scattering and optical undulators for high-yield EUV and X-ray sources

We present a novel high-yield Thomson scattering geometry that takes advantage of compact electron bunches, as available in advanced, low-emittance linear accelerators or laser wakefield accelerators. In order to avoid the restrictions on the X-ray photon yield imposed by the Rayleigh limit, we use ultrashort, pulse-front tilted laser pulses in a side-scattering geometry. Such a traveling-wave setup allows an overlap of electron and laser beams, even after propagating over distances much longer than the Rayleigh length. Experimental designs are discussed and optimized for different scattering angles. Specifically, to minimize group delay dispersion at large scattering angles >10°, we propose the use of varied-line spacing (VLS) gratings for spatio-temporal laser pulse shaping. Compared to head-on (180°) Thomson scattering, interaction lengths are in the centimeter to meter range and photon numbers for ultrashort X-ray pulses can increase by several orders of magnitudes.