Mathematical modelling of human corneal oxygenation and cell kinetics in corneal epithelial wound healing

Healthy transparent cornea depends upon the regulation of fluid, nutrient and oxygen transport through the tissue to sustain cell metabolism and other critical processes for normal functioning. This research considers the corneal geometry and investigates oxygen distribution using a two-dimensional Monod kinetic model, showing that previous studies make assumptions that lead to predictions of near-anoxic levels of oxygen tension in the limbal regions of the cornea. It also considers the comparison of experimental spatial and temporal data with the predictions of novel mathematical models with respect to distributed mitotic rates during corneal epithelial wound healing.

Open-pit block sequencing optimization: A mathematical model and solution technique

This study presents a comprehensive mathematical formulation model for a short-term open-pit mine block sequencing problem, which considers nearly all relevant technical aspects in open-pit mining. The proposed model aims to obtain the optimum extraction sequences of the original-size (smallest) blocks over short time intervals and in the presence of real-life constraints, including precedence relationship, machine capacity, grade requirements, processing demands and stockpile management. A hybrid branch-and-bound and simulated annealing algorithm is developed to solve the problem. Computational experiments show that the proposed methodology is a promising way to provide quantitative recommendations for mine planning and scheduling engineers.

Mathematical modelling and numerical simulation of phosphine flow during grain fumigation in leaky cylindrical silos

The phosphine distribution in a cylindrical silo containing grain is predicted. A three-dimensional mathematical model, which accounts for multicomponent gas phase transport and the sorption of phosphine into the grain kernel is developed. In addition, a simple model is presented to describe the death of insects within the grain as a function of their exposure to phosphine gas. The proposed model is solved using the commercially available computational fluid dynamics (CFD) software, FLUENT, together with our own C code to customize the solver in order to incorporate the models for sorption and insect extinction. Two types of fumigation delivery are studied, namely, fan- forced from the base of the silo and tablet from the top of the silo. An analysis of the predicted phosphine distribution shows that during fan forced fumigation, the position of the leaky area is very important to the development of the gas flow field and the phosphine distribution in the silo. If the leak is in the lower section of the silo, insects that exist near the top of the silo may not be eradicated. However, the position of a leak does not affect phosphine distribution during tablet fumigation. For such fumigation in a typical silo configuration, phosphine concentrations remain low near the base of the silo. Furthermore, we find that half-life pressure test readings are not an indicator of phosphine distribution during tablet fumigation.

Using Bayesian networks to model surveillance in complex plant and animal health systems

In this chapter we consider biosecurity surveillance as part of a complex system comprising many different biological, environmental and human factors and their interactions. Modelling and analysis of surveillance strategies should take into account these complexities, and also facilitate the use and integration of the many types of different information that can provide insight into the system as a whole. After a brief discussion of a range of options, we focus on Bayesian networks for representing such complex systems. We summarize the features of Bayesian networks and describe these in the context of surveillance.

Mathematical modelling of rock-bed solar thermal storage tank

An important application of thermal storage is solar energy for power generation or process heating. Low temperature thermal storage in a packed rock bed is considered best option for thermal storage for solar drying applications. In this paper, mathematical formulations for conical and cylindrical rock bed storage tanks have been developed. The model equations are solved numerically for charging/discharging cycles. From the simulated results, it was observed that for the same aspect ratio between the diameter and the length of the thermal storages, the conical thermal storage had better performance. The temperature distribution was found to be more uniform in the truncated conical shape rock bed storage. Also, the pressure drop over long period of time in the conical thermal storage was lower than that of the cylindrical thermal storage. Hence, the amount of power required from a centrifugal fan was lower.

Domestic violence on #qanda: The “Man” question in live Twitter discussion on the Australian Broadcasting Corporation's Q&A

Domestic violence is currently undergoing a period of heightened visibility in Australia. This article uses social media to analyze public discussions about this violence with respect to a specific theoretical frame, which Adrian Howe has called the “Man” question: where and how are men visible or invisible in narratives about their violence against women? The article presents a qualitative study of the Twitter conversation surrounding a special episode of the Australian Broadcasting Corporation's television program Q&A, themed around family violence, which aired in February 2015. We found that the place of men in this conversation was contested. Some tweets privileged men's voices and concerns, as did the organization and production of the program. However, feminist voices were also highly visible via presenting facts, legitimating survivor voices, and recuperating anti-feminist memes to challenge hegemonic patriarchal discourses on men's violence against women. La violence conjugale connait actuellement une visibilité accrue en Australie. Les auteures du présent article utilisent les réseaux sociaux pour analyser les débats publics sur cette violence selon un cadre théorique précis, qu'Adrian Howe a appelé la question de « l'homme » : où et comment les hommes sont-ils visibles ou invisibles dans les récits de leur violence envers les femmes? L'article présente une étude qualitative d'une conversation sur Twitter au sujet d'un épisode axé sur la famille diffusé en février 2015 dans le cadre de l'émission Q & A, à la télévision nationale d'Australie. Nous avons remarqué que dans cette conversation la place des hommes était remise en question. Certains tweets privilégiaient les voix et les craintes des hommes, comme l'ont fait les organisateurs et les producteurs de l'émission. Cependant, il y avait une forte présence de voix féministes dans la présentation des faits, légitimant le point de vue des survivantes et relevant des éléments culturels antiféministes afin de défier les discours hégémoniques et patriarcaux sur la violence des hommes envers les femmes.

The potential benefits of divergent thinking and metacognitive skills in STEAM learning: A discussion paper

In the wake of an almost decade long economic downturn and increasing competition from developing economies, a new agenda in the Australian Government for science, technology, engineering, and mathematics (STEM) education and research has emerged as a national priority. However, to art and design educators, the pervasiveness and apparent exclusivity of STEM can be viewed as another instance of art and design education being relegated to the margins of curriculum (Greene, 1995). In the spirit of interdisciplinarity, there have been some recent calls to expand STEM education to include the arts and design, transforming STEM into STEAM in education (Maeda, 2013). As with STEM, STEAM education emphasises the connections between previously disparate disciplines, meaning that education has been conceptualised in different ways, such as focusing on the creative design thinking process that is fundamental to engineering and art (Bequette & Bequette, 2012). In this article, we discuss divergent creative design thinking process and metacognitive skills, how, and why they may enhance learning in STEM and STEAM.

The grumpy stump - ultrasound and stump appendicitis

BACKGROUND: Stump appendicitis, the inflammation of an incompletely removed appendix, is a rare clinical presentation. Sonography can be useful in the diagnosis of the condition; by either directly visualising the inflamed stump, or by identifying signs of peri-caecal inflammation that can raise suspicion of the condition. SUMMARY OF WORK: A potential case of stump appendicitis was identified. This prompted a review of literature focused on the incidence of stump appendicitis, utility of ultrasound to identify an inflamed appendiceal stump, and surgical techniques used in appendectomy. SUMMARY OF RESULTS: Stump appendicitis is rare, with as few as 61 cases identified in literature during the last 60 years1. Of the two common techniques of appendectomy, which are ligation and invagination, the former can sometimes leave a residual stump that acts as a potential lumen for the pathophysiological process of appendicitis to recur. Established sonographic criteria for appendicitis also apply to the residual stump. Sonographic secondary signs that suggest the presence of acute appendicitis2 have also been demonstrated in cases of stump appendicitis3, even in the absence of an identifiable stump. DISCUSSION AND CONCLUSIONS: Appendicitis is usually dismissed in patients with a history of appendectomy. Though uncommon, sonographers should be aware of stump appendicitis in post-appendectomy patients that present with right iliac fossa pain from months to decades later. REFERENCE(S) 1. Subramanian A, Liang MK. A 60-year literature review of stump appendicitis: The need for a critical view. Am J Surg; 2012;203(4):503–7. 2. Reddan T, Corness J, Mengersen K, Harden F. Ultrasound of paediatric appendicitis and its secondary sonographic signs: providing a more meaningful finding. J Med Radiat Sci. 2015;DOI: 10.1002/jmrs.154 3. Martínez Chamorro E, Merina Castilla A, Muñoz Fraile B, Koren Fernández L, Borruel Nacenta S. Stump appendicitis: Preoperative imaging findings in four cases. Abdom Imaging. 2013;38(6):1214–9.

Appendiceal sonography in children: A retrospective analysis as a platform for potential implementation of diagnostic categories

- Background Sonography is an important diagnostic tool in children with suspected appendicitis. Reported accuracy and appendiceal visualisation rates vary significantly, as does the management of equivocal ultrasound findings. The aim of this study was to audit appendiceal sonography at a tertiary children's hospital, and provide baseline data for a future prospective study. - Summary of work Records of children who underwent ultrasound studies for possible appendicitis between January 2008 and December 2010 were reviewed. Variables included patient demographics, sonographic appendix characteristics, and secondary signs. Descriptive statistics and analysis using ANOVA, Mann-Whitney U test, and ROC curves were performed. Mater Human Research Ethic Committee approval was granted. - Summary of results There were 457 eligible children. Using a dichotomous diagnostic model (including equivocal results), sensitivity was 89.6%, specificity 91.6%, and diagnostic yield of 40.7%. ROC curve analysis of a 6mm diameter cut-off was 0.88 AUC (95% CI 0.80 to 0.95). - Discussion and conclusions Sonography is an accurate test for acute appendicitis in children, with a high sensitivity and negative predictive value. A diameter of 6mm as an absolute cut-off in a binary model can lead to false findings. Results were compared with available literature. Recent publications propose categorising diameter1 and integrating secondary signs2 to improve accuracy and provide more meaningful results to clinicians. This study will be a benchmark for future studies with multiple diagnostic categorisation.