A finite volume method with linearisation in time for the solution of advection-reaction-diffusion systems

The numerical solution in one space dimension of advection--reaction--diffusion systems with nonlinear source terms may invoke a high computational cost when the presently available methods are used. Numerous examples of finite volume schemes with high order spatial discretisations together with various techniques for the approximation of the advection term can be found in the literature. Almost all such techniques result in a nonlinear system of equations as a consequence of the finite volume discretisation especially when there are nonlinear source terms in the associated partial differential equation models. This work introduces a new technique that avoids having such nonlinear systems of equations generated by the spatial discretisation process when nonlinear source terms in the model equations can be expanded in positive powers of the dependent function of interest. The basis of this method is a new linearisation technique for the temporal integration of the nonlinear source terms as a supplementation of a more typical finite volume method. The resulting linear system of equations is shown to be both accurate and significantly faster than methods that necessitate the use of solvers for nonlinear system of equations.

Canards in advection-reaction-diffusion systems in one spatial dimension

This thesis contains a mathematical investigation of the existence of travelling wave solutions to singularly perturbed advection-reaction-diffusion models of biological processes. An enhanced mathematical understanding of these solutions and models is gained via the identification of canards (special solutions of fast/slow dynamical systems) and their role in the existence of the most biologically relevant, shock-like solutions. The analysis focuses on two existing models. A new proof of existence of a whole family of travelling waves is provided for a model describing malignant tumour invasion, while new solutions are identified for a model describing wound healing angiogenesis.

Neonatal intestinal obstruction associated with oral calcium supplementation

A case report of a 920 g infant developing a small intestinal obstruction following therapy for congestive cardiac failure is presented. Although the causation was thought to be milk curd obstruction, subsequent analysis revealed high concentration of calcium and phosphate in the stools. The possible pathogenesis is discussed in relation to the inspissated milk syndrome.

Physostigmine for promethazine poisoning

Experience suggests that the central anticholinergic action of promethazine is a major element in the toxic effects following overdosage. Physostigmine seems to be a direct antidote at doses within the safe therapeutic range; side-effects, if they become a problem, can be treated with intravenous atropine.

Age-related changes in hepatic function: An update on implications for drug therapy

The accumulation of deficits with increasing age results in a decline in the functional capacity of multiple organs and systems. These changes can have a significant influence on the pharmacokinetics and pharmacodynamics of prescribed drugs. Although alterations in body composition and worsening renal clearance are important considerations, for most drugs the liver has the greatest effect on metabolism. Age-related change in hepatic function thereby causes much of the variability in older people’s responses to medication. In this review, we propose that a decline in the ability of the liver to inactivate toxins may contribute to a proinflammatory state in which frailty can develop. Since inflammation also downregulates drug metabolism, medication prescribed to frail older people in accordance with disease-specific guidelines may undergo reduced systemic clearance, leading to adverse drug reactions, further functional decline and increasing polypharmacy, exacerbating rather than ameliorating frailty status. We also describe how increasing chronological age and frailty status impact liver size, blood flow and protein binding and enzymes of drug metabolism. This is used to contextualise our discussion of appropriate prescribing practices. For example, while the general axiom of ‘start low, go slow’ should underpin the initiation of medication (titrating to a defined therapeutic goal), it is important to consider whether drug clearance is flow or capacity-limited. By summarising the effect of age-related changes in hepatic function on medications commonly used in older people, we aim to provide a guide that will have high clinical utility for practising geriatricians.

Measuring falls events in acute hospitals-A comparison of three reporting methods to identify missing data in the hospital reporting system

OBJECTIVES: To compare three different methods of falls reporting and examine the characteristics of the data missing from the hospital incident reporting system. DESIGN: Fourteen-month prospective observational study nested within a randomized controlled trial. SETTING: Rehabilitation, stroke, medical, surgical, and orthopedic wards in Perth and Brisbane, Australia. PARTICIPANTS: Fallers (n5153) who were part of a larger trial (1,206 participants, mean age 75.1 � 11.0). MEASUREMENTS: Three falls events reporting measures: participants’ self-report of fall events, fall events reported in participants’ case notes, and falls events reported through the hospital reporting systems. RESULTS: The three reporting systems identified 245 falls events in total. Participants’ case notes captured 226 (92.2%) falls events, hospital incident reporting systems captured 185 (75.5%) falls events, and participant selfreport captured 147 (60.2%) falls events. Falls events were significantly less likely to be recorded in hospital reporting systems when a participant sustained a subsequent fall, (P5.01) or when the fall occurred in the morning shift (P5.01) or afternoon shift (P5.01). CONCLUSION: Falls data missing from hospital incident report systems are not missing completely at random and therefore will introduce bias in some analyses if the factor investigated is related to whether the data ismissing.Multimodal approaches to collecting falls data are preferable to relying on a single source alone.

Drinking and driving in Vietnam : perceptions and risk

Road traffic injuries are a major global public health problem but continue to receive inadequate attention. Alcohol influences both risk and consequence of road traffic injury but the scale of the problem is not well understood in many countries. In Vietnam, economic development has brought a substantial increase in the number of registered motorcycles as well as alcohol consumption. Traffic injury is among the leading causes of death in Vietnam but there is little local information regarding alcohol related traffic injuries. The primary goal of this study is to explore the drinking and driving patterns of males and their perceptions towards drink-driving and to determine the relationship between alcohol consumption and road traffic injuries. Furthermore, this thesis aims to present the situation analysis for choosing priority actions to reduce drinking and driving in Vietnam. The study is a combination of two cross-sectional surveys and a pilot study. The pilot study, involving 224 traffic injured patients, was conducted to test the tools and the feasibility of approach methods. In the first survey, male patrons (n=464) were randomly selected at seven restaurants. Face-to-face interviews were conducted when patrons just arrived and breath tests were collected when they were about to leave the restaurant. In the second survey, male patients admitted to hospital following a traffic injury (n=480, of which 414 were motorcycle or bicycle riders) were interviewed and their blood alcohol concentration (BAC) measured by breathalyzer. The results show broadly similar patterns of drinking and driving among male patrons and male traffic injured patients with a high frequency of drinking and drink-driving reported among the majority of the two groups. A high proportion of male patrons were leaving restaurants with a BAC over the legal limit. Factors that significantly associate with the number of drinks and BAC were age, hazardous drinking, frequency of drink-driving in the past year, self-estimated number of drinks consumed to drive legally, perceived family’s disapproval of drink-driving, and perceived legal risk and physical risk. The proportion of patrons and patients with BAC above the legal limit of 0.05 were 86.7% and 60.4% respectively, which was much higher than found in previous studies. In addition, both groups had a high prevalence of BAC over 0.15g/100ml (39.7% of patrons and 45.6% patients), a level that can seriously affect driving capacity. Results from the case-crossover analysis for patients indicate a dose-response relationship between alcohol consumption and the risk of traffic injury. The risk of traffic injury increased when alcohol was consumed before driving and there was a more than 13 fold increase when six or more drinks were consumed. Regarding perceptions towards drinking and driving, findings corroborate the low awareness among males in Vietnam, with a majority of respondents holding a low knowledge of safe and legally permissible alcohol use, and a low perceived risk of drinking and driving. The results also indicate a huge gap in prevention skills in terms of planning ahead or using alternative transport to avoid drink-driving and a perception by patrons and patients of a low rate of disapproval of drink-driving from peers and family. Findings in this study have considerable implications for national policy, injury prevention, clinical practice, reporting systems, and for further research. The low rate of compliance with existing laws and a generally low perceived legal risk toward drink-driving in this study call for the strengthening of enforcement along with mass media campaigns and news coverage in order to decrease the widespread perception of impunity and thereby, to reduce the level of drink-driving. In addition, no significant difference was found in this study on risk of traffic injuries between car drivers and motorcycle drivers. The current inconsistency between legal BAC for drivers of motorcycles, compared to cars, thus needs addressing. Furthermore, as drinking was found to be very common, rather than solely targeting drink-driving, it is important to call for a more strategic and comprehensive approach to alcohol policy in Viet Nam. This study also has considerable implications for clinical practice in terms of screening and brief interventions. Our study suggests that the short form of the AUDIT (AUDIT-C) screening tool is appropriate for use in busy emergency departments. The high proportion of traffic injured patients with evidence of alcohol abuse or hazardous drinking suggests that brief interventions by alcohol and drug counselors in emergency departments are a sensible option to addressing this important problem. The significance of this study is in the combination of the systematic collection of breath test and use of case-crossover design to estimate the risk of traffic injuries after alcohol consumption. The results provide convincing evidence to policy makers, health authorities and the media to help raise community awareness and policy advocacy toward the drinkdriving problem in Vietnam. The findings suggest an urgent need for a multi-sectoral approach to curtail drink-driving in Vietnam, especially programs to raise community awareness and effective legal enforcement. Furthermore, serving as a situation analysis, the thesis should inform the formulation of interventions designed to curtail drinking and driving in Vietnam and other developing countries.

New graduate occupational therapists' perceptions of near-misses and mistakes in the workplace

Purpose - The purpose of this paper is to explore the perceptions of near-misses and mistakes among new graduate occupational therapists from Australia and Aotearoa/New Zealand (NZ), and their knowledge of current incident reporting systems. Design/methodology/approach - New graduate occupational therapists in Australia and Aotearoa/NZ in their first year of practice (n=228) participated in an online electronic survey that examined five areas of work preparedness. Near-misses and mistakes was one focus area. Findings - The occurrence and disclosure of practice errors among new graduate occupational therapists are similar between Australian and Aotearoa/NZ participants. Rural location, structured supervision and registration status significantly influenced the perceptions and reporting of practice errors. Structured supervision significantly impacted on reporting procedure knowledge. Current registration status was strongly correlated with perceptions that the workplace encouraged event reporting. Research limitations/ implications - Areas for further investigation include investigating the perceptions and knowledge of practice errors within a broader profession and the need to explore definitional aspects and contextual factors of adverse events that occur in allied health settings. Selection bias may be a factor in this study. Practical implications - Findings have implications for university and workplace structures, such as clinical management, supervision, training about practice errors and reporting mechanisms in allied health. Originality/value - Findings may enable the development of better strategies for detecting, managing and preventing practice errors in the allied health professions.

Design theory for innovation of classroom-based information systems

This research used design science research methods to develop, instantiate, implement, and measure the acceptance of a novel software artefact. The primary purpose of this software artefact was to enhance data collection, improve its quality and enable its capture in classroom environments without distracting from the teaching activity. The artefact set is an iOS app, with supporting web services and technologies designed in response to teacher and pastoral care needs. System analysis and design used Enterprise Architecture methods. The novel component of the iOS app implemented proximity detection to identify the student through their iPad and automatically link to that student's data. The use of this novel software artefact and web services was trialled in a school setting, measuring user acceptance and system utility. This integrated system was shown to improve the accuracy, consistency, completeness and timeliness of captured data and the utility of the input and reporting systems.

On the mathematical modeling of wound healing angiogenesis in skin as a reaction-transport process

Over the last 30 years, numerous research groups have attempted to provide mathematical descriptions of the skin wound healing process. The development of theoretical models of the interlinked processes that underlie the healing mechanism has yielded considerable insight into aspects of this critical phenomenon that remain difficult to investigate empirically. In particular, the mathematical modeling of angiogenesis, i.e., capillary sprout growth, has offered new paradigms for the understanding of this highly complex and crucial step in the healing pathway. With the recent advances in imaging and cell tracking, the time is now ripe for an appraisal of the utility and importance of mathematical modeling in wound healing angiogenesis research. The purpose of this review is to pedagogically elucidate the conceptual principles that have underpinned the development of mathematical descriptions of wound healing angiogenesis, specifically those that have utilized a continuum reaction-transport framework, and highlight the contribution that such models have made toward the advancement of research in this field. We aim to draw attention to the common assumptions made when developing models of this nature, thereby bringing into focus the advantages and limitations of this approach. A deeper integration of mathematical modeling techniques into the practice of wound healing angiogenesis research promises new perspectives for advancing our knowledge in this area. To this end we detail several open problems related to the understanding of wound healing angiogenesis, and outline how these issues could be addressed through closer cross-disciplinary collaboration.

Nurses’ willingness to report medication administration errors in Saudi Arabia

Reporting of medication administration errors (MAEs) is one means by which health care facilities monitor their practice in an attempt to maintain the safest patient environment. This study examined the likelihood of registered nurses (RNs) reporting MAEs when working in Saudi Arabia. It also attempted to identify potential barriers in the reporting of MAE. This study found that 63% of RNs raised concerns about reporting of MAEs in Saudi Arabia—nursing administration was the largest impediment affecting nurses' willingness to report MAEs. Changing attitude to a non-blame system and implementation of anonymous reporting systems may encourage a greater reporting of MAEs.

Neutrophil oxidative burst is primed by supernatant from stored red cells : implications for Transfusion-Related Acute Lung Injury (TRALI)

Aim/Background: Transfusion-related acute lung injury (TRALI) is a potentially fatal adverse transfusion reaction. It is hypothesised to occur via a two-insult mechanism: the recipient’s underlying co-morbidity in addition to the transfusion of blood products activate neutrophils in the lung resulting in damaged endothelium and capillary leakage. Neutrophil activation may occur by antibody or non-antibody related mechanisms, with the length of storage of cellular blood products implicated in the latter. This study investigated non-antibody mediated priming and/or activation of neutrophil oxidative burst. Methods: A cytochrome C reduction assay was used to assess priming and activation of neutrophil oxidative burst by pooled supernatant (SN) from day 1 (D1; n=75) and day 42 (D42; n=113) packed red blood cells (PRBC). Pooled PRBC-SN were assessed in parallel with PAF (priming), fMLP (activating), PAF + fMLP (priming + activating) and buffer only (negative) controls. Cytochrome C reduction was measured over 30min at 37oC (inclusive of 10min priming). Neutrophil activation by PRBC-SN was assessed cf. buffer only and neutrophil priming by PRBC-SN was assessed by co-incubation with fMLP cf. fMLP alone. One-way ANOVA; Newman-Keuls post-test; p<0.05; n=10 independent assays. Results: Neither D1- nor D42- PRBC-SN alone activated neutrophil oxidative burst. In addition, D1-PRBC-SN did not prime fMLP-activated neutrophil oxidative burst. D42-PRBC-SN did, however, prime neutrophils for subsequent activation of oxidative burst by fMLP, the magnitude of response being similar to PAF (a known neutrophil priming agonist). Conclusion: These findings are consistent with the two-insult mechanism of TRALI. Factors released into the SN during PRBC storage contributed to neutrophil priming synergistically with other neutrophil stimulating agonists. This implicates PRBC storage duration as a key factor contributing to non-immune neutrophil activation in the development of TRALI in patients with pre-disposing inflammatory conditions.

Existence of travelling wave solutions for a model of tumour invasion

The existence of travelling wave solutions to a haptotaxis dominated model is analysed. A version of this model has been derived in Perumpanani et al. (1999) to describe tumour invasion, where diffusion is neglected as it is assumed to play only a small role in the cell migration. By instead allowing diffusion to be small, we reformulate the model as a singular perturbation problem, which can then be analysed using geometric singular perturbation theory. We prove the existence of three types of physically realistic travelling wave solutions in the case of small diffusion. These solutions reduce to the no diffusion solutions in the singular limit as diffusion as is taken to zero. A fourth travelling wave solution is also shown to exist, but that is physically unrealistic as it has a component with negative cell population. The numerical stability, in particular the wavespeed of the travelling wave solutions is also discussed.