Adaptive designs for Phase I dose-finding studies

Improving methodology for Phase I dose-finding studies is currently of great interest in pharmaceutical and medical research. This article discusses the current atmosphere and attitude towards adaptive designs and focuses on the influence of Bayesian approaches.

A general method for finding extremal states of Hamiltonian dynamical systems, with applications to perfect fluids

In addition to the Hamiltonian functional itself, non-canonical Hamiltonian dynamical systems generally possess integral invariants known as ‘Casimir functionals’. In the case of the Euler equations for a perfect fluid, the Casimir functionals correspond to the vortex topology, whose invariance derives from the particle-relabelling symmetry of the underlying Lagrangian equations of motion. In a recent paper, Vallis, Carnevale & Young (1989) have presented algorithms for finding steady states of the Euler equations that represent extrema of energy subject to given vortex topology, and are therefore stable. The purpose of this note is to point out a very general method for modifying any Hamiltonian dynamical system into an algorithm that is analogous to those of Vallis etal. in that it will systematically increase or decrease the energy of the system while preserving all of the Casimir invariants. By incorporating momentum into the extremization procedure, the algorithm is able to find steadily-translating as well as steady stable states. The method is applied to a variety of perfect-fluid systems, including Euler flow as well as compressible and incompressible stratified flow.

Finding the 'first voice' in rural England: the challenges of safeguarding intangible heritage in a national museum

This paper is an attempt to explore the challenges of defining intangible heritage and ‘community’ in England. It uses as its case study the Museum of English Rural Life, University of Reading: an urban museum with a rural theme. The paper examines current theoretical discourse around the concept of the ‘first voice’ and debate about the role of museums in the preservation of intangible heritage. It then examines the relevance of these concepts to the identification of ‘rural’ intangible heritage stake holders in England. In this way, it shows the potential for concepts of intangible heritage to influence national museums. However, by applying theory and practice which is designed to support work with well-defined ‘originating communities’ to a national museum, it also highlights the challenges of initiating community engagement in a multicultural society.

Finding vikings in the Danelaw

Historical, artefactual and place-name evidence indicates that Scandinavian migrants moved to eastern England in the ninth century AD, settling in the Danelaw. However, only a handful of characteristically Scandinavian burials have been found in the region. One, widely held, explanation is that most of these Scandinavian settlers quickly adopted local Christian burial customs, thus leaving Scandinavians indistinguishable from the Anglo-Saxon population. We undertook osteological and isotopic analysis to investigate the presence of first-generation Scandinavian migrants. Burials from Masham were typical of the later Anglo-Saxon period and included men, women and children. The location and positioning of the four adult burials from Coppergate, however, are unusual for Anglo-Scandinavian York. None of the skeletons revealed interpersonal violence. Isotopic evidence did not suggest a marine component in the diet of either group, but revealed migration on a regional, and possibly an international, scale. Combined strontium and oxygen isotope analysis should be used to investigate further both regional and Scandinavian migration in the later Anglo-Saxon period.