Minimal Norm Constrained Interpolation

In computational fluid dynamics and in CAD/CAM a physical boundary, usually known only discreetly (say, from a set of measurements), must often be approximated. An acceptable approximation must, of course, preserve the salient features of the data (convexity, concavity, etc.) In this dissertation we compute a smooth interpolant which is locally convex where the data are locally convex and is locally concave where the data are locally concave. Such an interpolant is found by posing and solving a minimization problem. The solution is a piecewise cubic polynomial. We actually solve this problem indirectly by using the Peano kernel theorem to recast this problem into an equivalent minimization problem having the second derivative of the interpolant as the solution. We are then led to solve a nonlinear system of equations. We show that with Newton\u27s method we have an exceptionally attractive and efficient method for solving this nonlinear system of equations. We display examples of such interpolants as well as convergence results obtained by using Newton\u27s method. We list a FORTRAN program to compute these shape-preserving interpolants. Next we consider the problem of computing the interpolant of minimal norm from a convex cone in a normed dual space. This is an extension of de Boor\u27s work on minimal norm unconstrained interpolation

Novel application of synchrotron x-ray computed tomography for ex-vivo imaging of subcutaneously-injected polymeric microsphere suspension formulations

Purpose: Subcutaneously or intramuscularly administered biodegradable microsphere formulations have been successfully exploited in the management of chronic conditions for over two decades, yet mechanistic understanding of the impact of formulation attributes on in vivo absorption rate from such systems is still in its infancy. Methods: Suspension formulation physicochemical attributes may impact particulate deposition in subcutaneous (s.c.) tissue. Hence, the utility of synchrotron X-ray microcomputed tomography (μCT) for assessment of spatial distribution of suspension formulation components (PLG microspheres and vehicle) was evaluated in a porcine s.c. tissue model. Optical imaging of dyed vehicle and subsequent microscopic assessment of microsphere deposition was performed in parallel to compare the two approaches. Results: Our findings demonstrate that synchrotron μCT can be applied to the assessment of microsphere and vehicle distribution in s.c. tissue, and that microspheres can also be visualised in the absence of contrast agent using this approach. The technique was deemed superior to optical imaging of macrotomy for the characterisation of microsphere deposition owing to its non-invasive nature and relatively rapid data acquisition time. Conclusions: The μCT method outlined in this study provides a novel insight into the relative distribution of vehicle and suspended PLG microspheres following s.c. injection. A potential application for our findings is understanding the impact of injection, device and formulation variables on initial and temporal depot geometry in pre-clinical or ex-vivo models that can inform product design

Reorganizing The Social Organization: Collaborative Editing, Museum Collections, Indigenous Knowledges, and the Franz Boas/George Hunt Archives

Franz Boas's 1897 report, The Social Organization and the Secret Societies of the Kwakiutl Indians, was a landmark in anthropology for its integrative approach to museum collections, photographs, and sound recordings as well as text. A result of participant observation and extensive collaboration with Indigenous partners—especially George Hunt—the book set a standard for both ethnography and museum practice. However, both Boas and Hunt remained dissatisfied with the published text, laboring for decades to correct and supplement a volume that would forever mediate global knowledge of the Kwakwaka’wakw people of British Columbia. They left behind a vast archive of unpublished materials relevant to the creation and afterlife of this groundbreaking text and its related museum collections. These materials are now widely distributed across institutional, disciplinary, and international borders. This paper will discuss an ongoing collaborative project to create a multimedia, web-based critical edition of the book that reassembles published and unpublished materials as well as Kwakwaka’wakw knowledge. Archival revelations about the truly co-authored nature of the original text allow us to better situate the contexts and methods of creating ethnographic knowledge in relation to the Indigenous ontologies that The Social Organization purports to represent. Moreover, the edition seeks to demonstrate ways in which digital technologies can harness multimedia to return sensory richness to Boas and Hunt’s synthetic text, to reactivate disparate and long dormant museum collections, and to restore cultural patrimony to its Indigenous inheritors

Development of the Paranormal and Supernatural Beliefs Scale using classical and modern test theory

Background: This study describes the construction and validation of a new scale for measuring belief in paranormal phenomena. The work aims to address psychometric and conceptual shortcomings associated with existing measures of paranormal belief. The study also compares the use of classic test theory and modern test theory as methods for scale development. Method: We combined novel items and amended items taken from existing scales, to produce an initial corpus of 29 items. Two hundred and thirty-one adult participants rated their level of agreement with each item using a seven-point Likert scale. Results: Classical test theory methods (including exploratory factor analysis and principal components analysis) reduced the scale to 14 items and one overarching factor: Supernatural Beliefs. The factor demonstrated high internal reliability, with an excellent test–retest reliability for the total scale. Modern test theory methods (Rasch analysis using a rating scale model) reduced the scale to 13 items with a four-point response format. The Rasch scale was found to be most effective at differentiating between individuals with moderate-high levels of paranormal beliefs, and differential item functioning analysis indicated that the Rasch scale represents a valid measure of belief in paranormal phenomena. Conclusions: The scale developed using modern test theory is identified as the final scale as this model allowed for in-depth analyses and refinement of the scale that was not possible using classical test theory. Results support the psychometric reliability of this new scale for assessing belief in paranormal phenomena, particularly when differentiating between individuals with higher levels of belief.Peer reviewe

The decision-making process in antibacterial treatment of pediatric upper respiratory infections: a national prospective office-based observational study

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An analytic model of the Gruneisen parameter at all densities

We model the density dependence of the Gruneisen parameter as gamma(rho) = 1/2 + gamma_1/rho^{1/3} + gamma_2/rho^{q}, where gamma_1, gamma_2, and q>1 are constants. This form is based on the assumption that gamma is an analytic function of V^{1/3}, and was designed to accurately represent the experimentally determined low-pressure behavior of gamma. The numerical values of the constants are obtained for 20 elemental solids. Using the Lindemann criterion with our model for gamma, we calculate the melting curves for Al, Ar, Ni, Pd, and Pt and compare them to available experimental melt data. We also determine the Z (atomic number) dependence of gamma_1. The high-compression limit of the model is shown to follow from a generalization of the Slater, Dugdale-MacDonald, and Vashchenko-Zubarev forms for the dependence of the Gruneisen parameter.Comment: 14 Pages, LaTeX, 5 eps figues; changes in the tex

Are there interactional differences between telephone and face-to-face psychological therapy? : A systematic review of comparative studies

Background Despite comparable clinical outcomes, therapists and patients express reservations about the delivery of psychological therapy by telephone. These concerns centre around the quality of the therapeutic relationship and the ability to exercise professional skill and judgement in the absence of visual cues. However, the empirical evidence base for such perceptions has not been clearly established. Methods We conducted a systematic review to establish what is known empirically about interactional differences between psychotherapeutic encounters conducted face-to-face vs. by telephone. Results The review identified 15 studies that used situated, comparative approaches to exploring interactional aspects of telephone and face-to-face psychological therapy. These studies revealed evidence of little difference between modes in terms of therapeutic alliance, disclosure, empathy, attentiveness or participation. However, telephone therapy sessions were significantly shorter than those conducted face-to-face. Limitations We identified only a small number of heterogeneous studies, many of which used non-randomised, opportunity samples and did not use validated measures to assess the constructs under investigation. Disparate therapeutic modalities were used across studies and samples included both clinically diagnosed and non-clinical populations. Conclusions Available evidence suggests a lack of support for the viewpoint that the telephone has a detrimental effect on interactional aspects of psychological therapy. The challenge for clinical practice is to translate this evidence into a change in practitioner and patient attitudes and behaviours. In order to do so, it is important to understand and address the breadth of factors that underpin ongoing ambivalence towards the telephone mode, which pose a barrier to wider implementation

Nature-Based Interventions for Improving Health and Wellbeing : The Purpose, the People and the Outcomes

Engagement with nature is an important part of many people's lives, and the health and wellbeing benefits of nature-based activities are becoming increasingly recognised across disciplines from city planning to medicine. Despite this, urbanisation, challenges of modern life and environmental degradation are leading to a reduction in both the quantity and the quality of nature experiences. Nature-based health interventions (NBIs) can facilitate behavioural change through a somewhat structured promotion of nature-based experiences and, in doing so, promote improved physical, mental and social health and wellbeing. We conducted a Delphi expert elicitation process with 19 experts from seven countries (all named authors on this paper) to identify the different forms that such interventions take, the potential health outcomes and the target beneficiaries. In total, 27 NBIs were identified, aiming to prevent illness, promote wellbeing and treat specific physical, mental or social health and wellbeing conditions. These interventions were broadly categorized into those that change the environment in which people live, work, learn, recreate or heal (for example, the provision of gardens in hospitals or parks in cities) and those that change behaviour (for example, engaging people through organized programmes or other activities). We also noted the range of factors (such as socioeconomic variation) that will inevitably influence the extent to which these interventions succeed. We conclude with a call for research to identify the drivers influencing the effectiveness of NBIs in enhancing health and wellbeing.Peer reviewe