Solution methods for advection-diffusion-reaction equations on growing domains and subdomains, with application to modelling skin substitutes

Problems involving the solution of advection-diffusion-reaction equations on domains and subdomains whose growth affects and is affected by these equations, commonly arise in developmental biology. Here, a mathematical framework for these situations, together with methods for obtaining spatio-temporal solutions and steady states of models built from this framework, is presented. The framework and methods are applied to a recently published model of epidermal skin substitutes. Despite the use of Eulerian schemes, excellent agreement is obtained between the numerical spatio-temporal, numerical steady state, and analytical solutions of the model.

Justice in Society

Australia has always made claims to being a just and fair society. It is a land of opportunity, where anyone can make it, and where mateship rather than class underpins social relations. Why is it, then, that our criminal justice system is host to the most disadvantaged and disenfranchised in our community? Why do certain groups of people continue to experience the worst forms of injustice in our society? And why do these injustices continue, despite numerous attempts by researchers and activists to address them? By exploring the ways in which we think about justice in the wider Australian society, this book considers these questions. As disciplines that have the most to say about justice and injustice, it analyses the contributions of political philosophy and sociology, and examines how their ideas have come to dominate discussion on issues ranging from asylum seeking to homophobic violence. By examining the shared assumptions about justice and injustice that underpin these discussions, this book also charts a course between and beyond these debates, and seeks to engage, challenge, and offer new possibilities for justice in Australian society. Relevant contemporary social issues like sex trafficking, homelessness, mental illness and Indigenous policing are examined throughout, placed in their historical, social and cultural context, and linked to local, national and global debates. Such analyses examine the broader implications of these criminological, social and legal issues for those excluded from justice in Australian society.

Managing distraction in 21st century learning environments

First year students attend face-to-face classes armed with an arsenal of internet enabled digital devices. The conundrum is that while these devices offer scope for enhancing opportunities for engagement in face-to-face learning, they may simultaneously distract students away from learning and compound isolation issues. This paper considers how to best to use these devices for maximum engagement in first year face-to-face learning so as to assist students in connecting with other learners and instructors within the learning environment

Moments of action provide insight into critical times for advection–diffusion–reaction processes

In 2010 Berezhkovskii and coworkers introduced the concept of local accumulation time (LAT) as a finite measure of the time required for the transient solution of a reaction diffusion equation to effectively reach steady state(Biophys J. 99, L59 (2010); Phys Rev E. 83, 051906 (2011)). Berezhkovskii’s approach is a particular application of the concept of mean action time (MAT) that was introduced previously by McNabb (IMA J Appl Math. 47, 193 (1991)). Here, we generalize these previous results by presenting a framework to calculate the MAT, as well as the higher moments, which we call the moments of action. The second moment is the variance of action time; the third moment is related to the skew of action time, and so on. We consider a general transition from some initial condition to an associated steady state for a one–dimensional linear advection–diffusion–reaction partial differential equation(PDE). Our results indicate that it is possible to solve for the moments of action exactly without requiring the transient solution of the PDE. We present specific examples that highlight potential weaknesses of previous studies that have considered the MAT alone without considering higher moments. Finally, we also provide a meaningful interpretation of the moments of action by presenting simulation results from a discrete random walk model together with some analysis of the particle lifetime distribution. This work shows that the moments of action are identical to the moments of the particle lifetime distribution for certain transitions.

Producing readings : freedom versus normativity?

The subject known as English has been framed in terms of a number of models which can be broadly defined through the literature as cultural heritage (associated with Matthew Arnold and F.R. Leavis), personal growth (associated with John Dixon and James Britton) and cultural studies (associated with Raymond Williams and Roland Barthes). Traditionally these models have been assumed to reflect different theories of English, each one being hailed as a radical break with the previous model. Taking the reading lesson as an example, the paper attempts to trouble the idea that the models of English are radically different, first by identifying an unhelpful dialectic that historically informs discussions of literature teaching and English and second, by exploring a circularity that characterises arguments used to justify the radical nature of cultural studies English.

Developing an efficient and reliable dry powder inhaler for pulmonary drug delivery : a review for multidisciplinary researchers

Pulmonary drug delivery is the focus of much research and development because of its great potential to produce maximum therapeutic benefit. Among the available options the dry powder inhaler (DPI) is the preferred device for the treatment of an increasingly diverse number of diseases. However, as drug delivery from a DPI involves a complicated set of physical processes and the integration of drug formulations, device design and patient usage, the engineering development of this medical technology is proving to be a great challenge. Currently there is large range of devices that are either available on the market or under development, however, none exhibit superior clinical efficacy. A major concern is the inter- and intra-patient variability of the drug dosage delivered to the deep lungs. The extent of variability depends on the drug formulation, the device design and the patient’s inhalation profile. This article reviews recent advances in DPI technology and presents the key factors which motivate and constrain the successful engineering of a universal, patient-independent DPI that is capable of efficient, reliable and repeatable drug delivery. A strong emphasis is placed on the physical processes of drug powder aerosolisation, deagglomeration, and dispersion and on the engineering of formulations and inhalers that can optimise these processes.

A hybrid model for studying spatial aspects of infectious diseases

We consider a hybrid model, created by coupling a continuum and an agent-based model of infectious disease. The framework of the hybrid model provides a mechanism to study the spread of infection at both the individual and population levels. This approach captures the stochastic spatial heterogeneity at the individual level, which is directly related to deterministic population level properties. This facilitates the study of spatial aspects of the epidemic process. A spatial analysis, involving counting the number of infectious agents in equally sized bins, reveals when the spatial domain is nonhomogeneous.

Managing distraction and attention in diverse cohorts : 21st century challenges to law student engagement

It is imperative that we consider the use of current and emerging technologies in terms of the nature of our learners, the physical environment of the lecture theatre, and how technology may help to support appropriate pedagogies that facilitate the capturing of student attention in active engaging learning experiences. It is argued that a re-evaluation of pedagogy is required to address the tech-savy traits of the 21st century learner and the extent to which their mobile devices are capable of not only distracting them from learning but also enhancing face-to-face learning experiences.

Taxing charities : reform without reason?

The proposal to tax the unrelated business income of charitable organisations was announced in the 2011 budget, but the course of events has overtaken the stated policy rationale. We identify and discuss the policy for the imposition of the new tax and demonstrate that the measure is unnecessary given a recent judgement by the High Court, establishment of a new charity regulator and a better understanding of the applicable tax theory.

Tactically-driven nonmonotone travelling waves

Models of cell invasion incorporating directed cell movement up a gradient of an external substance and carrying capacity-limited proliferation give rise to travelling wave solutions. Travelling wave profiles with various shapes, including smooth monotonically decreasing, shock-fronted monotonically decreasing and shock-fronted nonmonotone shapes, have been reported previously in the literature. The existence of tacticallydriven shock-fronted nonmonotone travelling wave solutions is analysed for the first time. We develop a necessary condition for nonmonotone shock-fronted solutions. This condition shows that some of the previously reported shock-fronted nonmonotone solutions are genuine while others are a consequence of numerical error. Our results demonstrate that, for certain conditions, travelling wave solutions can be either smooth and monotone, smooth and nonmonotone or discontinuous and nonmonotone. These different shapes correspond to different invasion speeds. A necessary and sufficient condition for the travelling wave with minimum wave speed to be nonmonotone is presented. Several common forms of the tactic sensitivity function have the potential to satisfy the newly developed condition for nonmonotone shock-fronted solutions developed in this work.

An investigation on the accuracy of regional ocean models through field trials

Recent efforts in mission planning for underwater vehicles have utilised predictive models to aid in navigation, optimal path planning and drive opportunistic sampling. Although these models provide information at a unprecedented resolutions and have proven to increase accuracy and effectiveness in multiple campaigns, most are deterministic in nature. Thus, predictions cannot be incorporated into probabilistic planning frameworks, nor do they provide any metric on the variance or confidence of the output variables. In this paper, we provide an initial investigation into determining the confidence of ocean model predictions based on the results of multiple field deployments of two autonomous underwater vehicles. For multiple missions conducted over a two-month period in 2011, we compare actual vehicle executions to simulations of the same missions through the Regional Ocean Modeling System in an ocean region off the coast of southern California. This comparison provides a qualitative analysis of the current velocity predictions for areas within the selected deployment region. Ultimately, we present a spatial heat-map of the correlation between the ocean model predictions and the actual mission executions. Knowing where the model provides unreliable predictions can be incorporated into planners to increase the utility and application of the deterministic estimations.

Reducing actuator switchings for motion control of autonomous underwater vehicles

A priority when designing control strategies for autonomous underwater vehicles is to emphasize their cost of implementation on a real vehicle and at the same time to minimize a prescribed criterion such as time, energy, payload or combination of those. Indeed, the major issue is that due to the vehicles' design and the actuation modes usually under consideration for underwater platforms the number of actuator switchings must be kept to a small value to ensure feasibility and precision. This constraint is typically not verified by optimal trajectories which might not even be piecewise constants. Our goal is to provide a feasible trajectory that minimizes the number of switchings while maintaining some qualities of the desired trajectory, such as optimality with respect to a given criterion. The one-sided Lipschitz constant is used to derive theoretical estimates. The theory is illustrated on two examples, one is a fully actuated underwater vehicle capable of motion in six degrees-of-freedom and one is minimally actuated with control motions constrained to the vertical plane.

Wind-energy based path planning for unmanned aerial vehicles using Markov decision processes

Exploiting wind-energy is one possible way to extend flight duration for Unmanned Arial Vehicles. Wind-energy can also be used to minimise energy consumption for a planned path. In this paper, we consider uncertain time-varying wind fields and plan a path through them. A Gaussian distribution is used to determine uncertainty in the Time-varying wind fields. We use Markov Decision Process to plan a path based upon the uncertainty of Gaussian distribution. Simulation results that compare the direct line of flight between start and target point and our planned path for energy consumption and time of travel are presented. The result is a robust path using the most visited cell while sampling the Gaussian distribution of the wind field in each cell.

Multimodal approaches to reflective teaching and assessment in higher education

Reflection is not a new concept in the teaching of higher education and is often an important component of many disciplinary courses. Despite this, past research shows that whilst there are examples of rich reflective strategies used in some areas of higher education, most approaches to and conceptualisations of reflective learning and assessment have been perfunctory and inconsistent. In many disciplinary areas reflection is often assessed as a written activity ‘tagged onto’ assessment practices. In creative disciplines however, reflective practice is an integral and cumulative form of learning and is often expressed in ways other than in the written form. This paper will present three case studies of reflective practice in the area of Creative Industries in higher education – Dance, Fashion and Music. It will discuss the ways in which higher education teachers and students use multi-modal approaches to expressing knowledge and reflective practice in context. The paper will argue that unless students are encouraged to participate in deep reflective disciplinary discourse via multi-modes then reflection will remain superficial in the higher education context.

β-glucan triggers spondylarthritis and Crohn's disease-like ileitis in SKG mice

Objective The spondylarthritides (SpA), including ankylosing spondylitis (AS), psoriatic arthritis (PsA), reactive arthritis, and arthritis associated with inflammatory bowel disease, cause chronic inflammation of the large peripheral and axial joints, eyes, skin, ileum, and colon. Genetic studies reveal common candidate genes for AS, PsA, and Crohn's disease, including IL23R, IL12B, STAT3, and CARD9, all of which are associated with interleukin-23 (IL-23) signaling downstream of the dectin 1 β-glucan receptor. In autoimmune-prone SKG mice with mutated ZAP-70, which attenuates T cell receptor signaling and increases the autoreactivity of T cells in the peripheral repertoire, IL-17–dependent inflammatory arthritis developed after dectin 1–mediated fungal infection. This study was undertaken to determine whether SKG mice injected with 1,3-β-glucan (curdlan) develop evidence of SpA, and the relationship of innate and adaptive autoimmunity to this process. Methods SKG mice and control BALB/c mice were injected once with curdlan or mannan. Arthritis was scored weekly, and organs were assessed for pathologic features. Anti–IL-23 monoclonal antibodies were injected into curdlan-treated SKG mice. CD4+ T cells were transferred from curdlan-treated mice to SCID mice, and sera were analyzed for autoantibodies. Results After systemic injection of curdlan, SKG mice developed enthesitis, wrist, ankle, and sacroiliac joint arthritis, dactylitis, plantar fasciitis, vertebral inflammation, ileitis resembling Crohn's disease, and unilateral uveitis. Mannan triggered spondylitis and arthritis. Arthritis and spondylitis were T cell– and IL-23–dependent and were transferable to SCID recipients with CD4+ T cells. SpA was associated with collagen- and proteoglycan-specific autoantibodies. Conclusion Our findings indicate that the SKG ZAP-70W163C mutation predisposes BALB/c mice to SpA, resulting from innate and adaptive autoimmunity, after systemic β-glucan or mannan exposure.