A boundary preserving numerical algorithm for the Wright-Fisher model with mutation

The Wright-Fisher model is an Itô stochastic differential equation that was originally introduced to model genetic drift within finite populations and has recently been used as an approximation to ion channel dynamics within cardiac and neuronal cells. While analytic solutions to this equation remain within the interval [0,1], current numerical methods are unable to preserve such boundaries in the approximation. We present a new numerical method that guarantees approximations to a form of Wright-Fisher model, which includes mutation, remain within [0,1] for all time with probability one. Strong convergence of the method is proved and numerical experiments suggest that this new scheme converges with strong order 1/2. Extending this method to a multidimensional case, numerical tests suggest that the algorithm still converges strongly with order 1/2. Finally, numerical solutions obtained using this new method are compared to those obtained using the Euler-Maruyama method where the Wiener increment is resampled to ensure solutions remain within [0,1].

Study Protocol - Alcohol Management Plans (AMPs) in remote indigenous communities in Queensland: their impacts on injury, violence, health and social indicators and their cost-effectiveness

Background In 2002/03 the Queensland Government responded to high rates of alcohol-related harm in discrete Indigenous communities by implementing alcohol management plans (AMPs), designed to include supply and harm reduction and treatment measures. Tighter alcohol supply and carriage restrictions followed in 2008 following indications of reductions in violence and injury. Despite the plans being in place for over a decade, no comprehensive independent review has assessed to what level the designed aims were achieved and what effect the plans have had on Indigenous community residents and service providers. This study will describe the long-term impacts on important health, economic and social outcomes of Queensland’s AMPs. Methods/Design The project has two main studies, 1) outcome evaluation using de-identified epidemiological data on injury, violence and other health and social indicators for across Queensland, including de-identified databases compiled from relevant routinely-available administrative data sets, and 2) a process evaluation to map the nature, timing and content of intervention components targeting alcohol. Process evaluation will also be used to assess the fidelity with which the designed intervention components have been implemented, their uptake and community responses to them and their perceived impacts on alcohol supply and consumption, injury, violence and community health. Interviews and focus groups with Indigenous residents and service providers will be used. The study will be conducted in all 24 of Queensland’s Indigenous communities affected by alcohol management plans. Discussion This evaluation will report on the impacts of the original aims for AMPs, what impact they have had on Indigenous residents and service providers. A central outcome will be the establishment of relevant databases describing the parameters of the changes seen. This will permit comprehensive and rigorous surveillance systems to be put in place and provided to communities empowering them with the best credible evidence to judge future policy and program requirements for themselves. The project will inform impending alcohol policy and program adjustments in Queensland and other Australian jurisdictions. The project has been approved by the James Cook University Human Research Ethics Committee (approval number H4967 & H5241).

Estimating cell diffusivity and cell proliferation rate by interpreting IncuCyte ZOOM™ assay data using the Fisher-Kolmogorov model

Background: Standard methods for quantifying IncuCyte ZOOM™ assays involve measurements that quantify how rapidly the initially-vacant area becomes re-colonised with cells as a function of time. Unfortunately, these measurements give no insight into the details of the cellular-level mechanisms acting to close the initially-vacant area. We provide an alternative method enabling us to quantify the role of cell motility and cell proliferation separately. To achieve this we calibrate standard data available from IncuCyte ZOOM™ images to the solution of the Fisher-Kolmogorov model. Results: The Fisher-Kolmogorov model is a reaction-diffusion equation that has been used to describe collective cell spreading driven by cell migration, characterised by a cell diffusivity, D, and carrying capacity limited proliferation with proliferation rate, λ, and carrying capacity density, K. By analysing temporal changes in cell density in several subregions located well-behind the initial position of the leading edge we estimate λ and K. Given these estimates, we then apply automatic leading edge detection algorithms to the images produced by the IncuCyte ZOOM™ assay and match this data with a numerical solution of the Fisher-Kolmogorov equation to provide an estimate of D. We demonstrate this method by applying it to interpret a suite of IncuCyte ZOOM™ assays using PC-3 prostate cancer cells and obtain estimates of D, λ and K. Comparing estimates of D, λ and K for a control assay with estimates of D, λ and K for assays where epidermal growth factor (EGF) is applied in varying concentrations confirms that EGF enhances the rate of scratch closure and that this stimulation is driven by an increase in D and λ, whereas K is relatively unaffected by EGF. Conclusions: Our approach for estimating D, λ and K from an IncuCyte ZOOM™ assay provides more detail about cellular-level behaviour than standard methods for analysing these assays. In particular, our approach can be used to quantify the balance of cell migration and cell proliferation and, as we demonstrate, allow us to quantify how the addition of growth factors affects these processes individually.

Attitudes Towards Modern Living: The Mid-century Showrooms of Herman Miller and Knoll Associates

The independent manufacturer’s furniture showroom, as defined by Herman Miller and Knoll in the mid-twentieth century, presented a highly controlled and controllable context in which both companies and their designers familiarized American architects, designers and consumers with new ideas about living with modern furniture and architecture. Embracing consumerism within a modernist idiom, these mid-century furniture showrooms provided a unique interior typology wherein the reconciliation of modernism, mass-produced goods and personal expression was not only possible, but also accessible. Challenging long-held practices and beliefs within the nation’s conservative home furnishings market, Herman Miller and Knoll superseded retail buyers by reaching out directly to customers. The independently-run showrooms allowed both companies to engage their customers in a sophisticated and sustained proposition about the role of modern furniture and architecture in daily life. Examining the showrooms designed for Herman Miller and Knoll Associates during the latter 1940s and early 1950s, this article explores the ways in which these spaces were utilized as both laboratories and showcases, demonstrating the adaptability of modern furniture and interiors to individual lifestyles. Key words Charles and Ray Eames display design furniture Herman Miller Knoll Associates modernism showrooms

The Mid-Century Showroom: Knoll, Herman Miller and the Retail Exhibition of Modern American Design

Although occasionally illustrated and referenced in contemporary histories of modern furniture and design, there is surprisingly little critical discussion or consideration of the role of the showroom in the promotion and dissemination of modern design during the mid-twentieth century. In these years, when the American lifestyle was popularly articulated and forcefully propagandized, the furniture showroom served as a principle site of professional and public indoctrination. Appropriating display techniques from modern exhibition design to showcase the American lifestyle as an abstracted, spatially integrated art form, the showroom provided an unencumbered landscape ideally suited to camera’s lens and the public’s imagination. Leading modern American furniture manufacturers, such as Herman Miller and Knoll Associates collaborated with major cultural institutions as well as department stores and retailers to maximize exposure and consumer demand for their products. Through such integrated marketing and merchandising strategies, showrooms also contributed to the broader social project to educate American consumers about modern design and the advantages of modern living. Related to the many model home programs and “good design” exhibitions of the 1950s, the furniture showroom occupies a unique place within the history and discourse of the postwar era. The peculiarities of the furniture showroom and its position as a point of intersection between the trade and the consumer, the commercial and the cultural, and the aesthetic and the ideological form the focus of this study.