A survey in mathematics for industry: Two-timing and matched asymptotic expansions for singular perturbation problems

Following the derivation of amplitude equations through a new two-time-scale method [O'Malley, R. E., Jr. & Kirkinis, E (2010) A combined renormalization group-multiple scale method for singularly perturbed problems. Stud. Appl. Math. 124, 383-410], we show that a multi-scale method may often be preferable for solving singularly perturbed problems than the method of matched asymptotic expansions. We illustrate this approach with 10 singularly perturbed ordinary and partial differential equations. © 2011 Cambridge University Press.

When to pull the plug and when to take the plunge : timing strategic decisions about new ventures

It is not uncommon for firms to explore a new venture under the belief it will generate profits, only to find out later that although costs accumulated, profits did not materialize. To manage the high level of uncertainty involved in this process, new ventures are generally designed as vehicles of exploration (Wu, 2012) that allow for a staged investment of resources, starting with small initial investments that can be scaled up or discontinued as uncertainty is resolved over time (Folta, 1998; Li and Chi, 2013). As such, new ventures provide firms a vehicle by which they can probe an uncertain future (Brown and Eisenhardt, 1997) without fully committing early on to an irreversible course of action (Folta, Johnson, and O’Brien, 2006). Our focus in the present paper is on the timing of strategic decisions that firms make regarding their exploration ventures. Prior research in the fields of entrepreneurship, real options reasoning, and decision speed has demonstrated a link between the timing of making decisions and performance (Baum and Wally, 2003; Eisenhardt, 1989; Judge and Miller, 1991). The antecedents to the timing of decisions, however, are less understood and pose an interesting dilemma.

The impact of litigation risk on the strategic timing of management earnings forecasts

This paper examines whether managers strategically time their earnings forecasts (MEFs) as litigation risk increases. We find as litigation risk increases, the propensity to release a delayed forecast until after the market is closed (AMC) or a Friday decreases but not proportionally more for bad news than for good news. Host costly this behaviour is to investors is questionable as share price returns do not reveal any under-reaction to strategically timed bad news MEF released AMC. We also find evidence consistent with managers timing their MEFs during a natural no-trading period to better disseminate information.

Who is seeing the dietitian? we are only seeing the tip of the iceberg

Poor dietary choices are associated with overweight and obesity and the development of chronic conditions. Over 12 million (~60%) Australians are currently overweight or obese. Accredited Practicing Dietitians (APDs) are the experts in nutrition and diet therapy, equipped to provide services and counselling to assist individuals in making dietary modifications to prevent or manage diet-related conditions. However, no existing research has investigated the proportion or characteristics of the Australian population that may be accessing APDs. Data from 25,906 participants in the 2004/05 National Health Survey (NHS) were analysed using logistic regression to identify the sociodemographic and health characteristics of individuals accessing an APD or Nutritionist. Only 0.4% (n = 105) of the sample reported accessing a Dietitian or Nutritionist, this was half the amount accessing a Naturopath. Diabetes Mellitus, cardiovascular disease and obesity were all significantly associated with having seen a Dietitian, and over 90% of those accessing services had a long-term condition. Of the total sample only 10% of those with a diet-related condition had seen an APD or Nutritionist. Household income and education were not associated with accessing an APD. Exploration around the barriers to referral and accessing services may be warranted to assist in enhancing the profile of APDs among the population and other healthcare professionals. The current number of approximately 5000 registered APDs is unlikely to be able to service the proportion of the population who require dietary intervention; further avenues for prevention, rather than acute treatment, and novel strategies for service provision also need to be explored.

The anatomy of the bill tip of kiwi and associated somatosensory regions of the brain : comparisons with shorebirds

Three families of probe-foraging birds, Scolopacidae (sandpipers and snipes), Apterygidae (kiwi), and Threskiornithidae (ibises, including spoonbills) have independently evolved long, narrow bills containing clusters of vibration-sensitive mechanoreceptors (Herbst corpuscles) within pits in the bill-tip. These ‘bill-tip organs’ allow birds to detect buried or submerged prey via substrate-borne vibrations and/or interstitial pressure gradients. Shorebirds, kiwi and ibises are only distantly related, with the phylogenetic divide between kiwi and the other two taxa being particularly deep. We compared the bill-tip structure and associated somatosensory regions in the brains of kiwi and shorebirds to understand the degree of convergence of these systems between the two taxa. For comparison, we also included data from other taxa including waterfowl (Anatidae) and parrots (Psittaculidae and Cacatuidae), non-apterygid ratites, and other probe-foraging and non probe-foraging birds including non-scolopacid shorebirds (Charadriidae, Haematopodidae, Recurvirostridae and Sternidae). We show that the bill-tip organ structure was broadly similar between the Apterygidae and Scolopacidae, however some inter-specific variation was found in the number, shape and orientation of sensory pits between the two groups. Kiwi, scolopacid shorebirds, waterfowl and parrots all shared hypertrophy or near-hypertrophy of the principal sensory trigeminal nucleus. Hypertrophy of the nucleus basorostralis, however, occurred only in waterfowl, kiwi, three of the scolopacid species examined and a species of oystercatcher (Charadriiformes: Haematopodidae). Hypertrophy of the principal sensory trigeminal nucleus in kiwi, Scolopacidae, and other tactile specialists appears to have co-evolved alongside bill-tip specializations, whereas hypertrophy of nucleus basorostralis may be influenced to a greater extent by other sensory inputs. We suggest that similarities between kiwi and scolopacid bill-tip organs and associated somatosensory brain regions are likely a result of similar ecological selective pressures, with inter-specific variations reflecting finer-scale niche differentiation.

Wing morphology, echolocation calls, diet and emergence time of black-bearded tomb bats (Taphozous melanopogon, Emballonuridae) from southwest China

We studied the wing morphology, echolocation calls, diet and emergence time of the black-bearded tomb bat (Taphozous melanopogon) from May to October 2006 in Guangxi Province, southwest China. Taphozous melanopogon has wings with high aspect ratio, high loading and pointed wing-tip shape-characteristics associated with fast flight in open space. This species usually produces low-intensity, low frequency, and frequency-modulated (FM) calls usually containing up to four harmonics, with most energy in the second (or sometimes third) harmonic. The diet of this species consists mostly of Lepidoptera and Hemiptera. Timing of evening emergence is correlated with the time of sunset. This is the first study to describe the flight and echolocation behavior of this species in China, and opens the way for future studies of its biology.

Irregular meal timing is associated with helicobacter pylori infection and gastritis

Background Helicobacter pylori (HP) is associated with chronic gastritis and gastric cancer, and more than half of the world’s population is chronically infected. The aim of this retrospective study was to investigate whether an irregular meal pattern is associated with increased risk of gastritis and HP infection. Methods The study involved 323 subjects, divided into three groups: subjects with HP infection and gastritis, with gastritis, and a control group. Subjects were interviewed on eating habits and meal timing. Multivariate logistic regression was used to compare groups. Adjusted odds ratios (OR) were derived controlling for gender, age, stress and probiotic consumption. Results Subjects who deviated from their regular meals by 2 hours or more had a significantly higher incidence of HP infection with gastritis (adjusted OR= 13.3, 95% CI 5.3–33.3, p<0.001) and gastritis (adjusted OR=6.1, 95% CI 2.5–15.0, p<0.001). Subjects who deviated their meals by 2 hours or more, twice or more per week, had an adjusted OR of 6.3 and 3.5 of acquiring HP infection with gastritis (95% CI 2.6–15.2, p<0.001) and gastritis (95% CI 1.5–8.5, p<0.001) respectively. Conclusion Frequent deviation in meal timing over a prolonged period appears associated with increased risk of developing HP infection and gastritis.

The timing of solid introduction in an ‘obesogenic’ environment : a narrative review of the evidence and methodological issues.

Objective To evaluate the evidence for association between obesity risk outcomes >12 months of age and timing of solid introduction in healthy term infants in developed countries, the large majority of whom are not exclusively breastfed to 6 months of age. Methods Studies included were published 1990-March 2013. Results Twenty-six papers with weight status or obesity prevalence outcomes were identified. Studies were predominantly cohort design, most with important methodological limitations. Ten studies reported a positive association. Of these only two were large good quality studies and both examined the outcome of early (<4 months) solid introduction. None of the four good quality studies that directly evaluated current guidelines provided evidence of any clinically relevant protective effect of solid introduction from 4-5 versus ≥ 6 months of age. Conclusion Overall the introduction of solids prior to 4 months may result in increased risk of childhood obesity but there is little evidence of adverse weight status outcomes associated with introducing solids at 4-6 rather than at 6 months. Implications More and better quality evidence is required to inform guidelines on the ‘when, what and how’ of complementary feeding.

Randomized clinical trial of the timing it right stroke family support program: Research protocol

Background Family caregivers provide invaluable support to stroke survivors during their recovery, rehabilitation, and community re-integration. Unfortunately, it is not standard clinical practice to prepare and support caregivers in this role and, as a result, many experience stress and poor health that can compromise stroke survivor recovery and threaten the sustainability of keeping the stroke survivor at home. We developed the Timing it Right Stroke Family Support Program (TIRSFSP) to guide the timing of delivering specific types of education and support to meet caregivers' evolving needs. The objective of this multi-site randomized controlled trial is to determine if delivering the TIRSFSP across the stroke care continuum improves caregivers' sense of being supported and emotional well-being. Methods/design Our multi-site single-blinded randomized controlled trial will recruit 300 family caregivers of stroke survivors from urban and rural acute care hospitals. After completing a baseline assessment, participants will be randomly allocated to one of three groups: 1) TIRSFSP guided by a stroke support person (health care professional with stroke care experience), delivered in-person during acute care and by telephone for approximately the first six to 12 months post-stroke; 2) caregiver self-directed TIRSFSP with an initial introduction to the program by a stroke support person, or; 3) standard care receiving the educational resource "Let's Talk about Stroke" prepared by the Heart and Stroke Foundation. Participants will complete three follow-up quantitative assessments 3, 6, and 12-months post-stroke. These include assessments of depression, social support, psychological well-being, stroke knowledge, mastery (sense of control over life), caregiving assistance provided, caregiving impact on everyday life, and indicators of stroke severity and disability. Qualitative methods will also be used to obtain information about caregivers' experiences with the education and support received and the impact on caregivers' perception of being supported and emotional well-being. Discussion This research will determine if the TIRSFSP benefits family caregivers by improving their perception of being supported and emotional well-being. If proven effective, it could be recommended as a model of stroke family education and support that meets the Canadian Stroke Best Practice Guideline recommendation for providing timely education and support to families through transitions.

Costs assessor selection: A question of timing, or cost?

In Lessbrook Pty Ltd (in liq) v Whap; Stephen; Bowie; Kepa & Kepa [2014] QCA 63 the Queensland Court of Appeal dealt with significant questions of general application relating to the appointment of assessors to conduct an assessment of costs under the Uniform Civil Procedure Rules 1999 (Qld) (UCPR).

A feasibility and pilot randomized controlled trial of the "Timing it Right Stroke Family Support Program"

- Objective Examine feasibility of conducting a randomized controlled trial of the Timing it Right Stroke Family Support Program (TIRSFSP) and collect pilot data. - Design Multi-site mixed method randomized controlled trial. - Setting Acute and community care in three Canadian cities. - Subjects Caregivers were family members or friends providing care to individuals who experienced their first stroke. - Intervention The TIRSFSP offered in two formats, self-directed by the caregiver or stroke support person-directed over time, were compared to standard care. - Main Measures Caregivers completed baseline and follow-up measures 1, 3 and 6 months post-stroke including Centre for Epidemiological Studies Depression, Positive Affect, Social Support, and Mastery Scales. We completed in-depth qualitative interviews with caregivers and maintained intervention records describing support provided to each caregiver. - Results Thirty-one caregivers received standard care (n=10), self-directed (n=10), or stroke support person-directed (n=11) interventions. We retained 77% of the sample through 6-months. Key areas of support derived from intervention records (n=11) related to caregiver wellbeing, caregiving strategies, patient wellbeing, community re-integration, and service delivery. Compared to standard care, caregivers receiving the stroke support person-directed intervention reported improvements in perceived support (estimate 3.1, P=.04) and mastery (estimate .35, P=.06). Qualitative caregiver interviews (n=19) reflected the complex interaction between caregiver needs, preferences and available options when reporting on level of satisfaction. - Conclusions Preliminary findings suggest the research design is feasible, caregivers’ needs are complex, and the support intervention may enhance caregivers’ perceived support and mastery. The intervention will be tested further in a large scale trial.

Change visualisation: Analysing the resource and timing differences between two event logs

With organisations facing significant challenges to remain competitive, Business Process Improvement (BPI) initiatives are often conducted to improve the efficiency and effectiveness of their business processes, focussing on time, cost, and quality improvements. Event logs which contain a detailed record of business operations over a certain time period, recorded by an organisation's information systems, are the first step towards initiating evidence-based BPI activities. Given an (original) event log as a starting point, an approach to explore better ways to execute a business process was developed, resulting in an improved (perturbed) event log. Identifying the differences between the original event log and the perturbed event log can provide valuable insights, helping organisations to improve their processes. However, there is a lack of automated techniques to detect the differences between two event logs. Therefore, this research aims to develop visualisation techniques to provide targeted analysis of resource reallocation and activity rescheduling. The differences between two event logs are first identified. The changes between the two event logs are conceptualised and realised with a number of visualisations. With the proposed visualisations, analysts will then be able to identify the changes related to resource and time, resulting in a more efficient business process. Ultimately, analysts can make use of this comparative information to initiate evidence-based BPI activities.

Effectiveness of electrocardiographic guidance in CVAD tip placement

Background International standard practice for the correct confirmation of the central venous access device is the chest X-ray. The intracavitary electrocardiogram-based insertion method is radiation-free, and allows real-time placement verification, providing immediate treatment and reduced requirement for post-procedural repositioning. Methods Relevant databases were searched for prospective randomised controlled trials (RCTs) or quasi RCTs that compared the effectiveness of electrocardiogram-guided catheter tip positioning with placement using surface-anatomy-guided insertion plus chest X-ray confirmation. The primary outcome was accurate catheter tip placement. Secondary outcomes included complications, patient satisfaction and costs. Results Five studies involving 729 participants were included. Electrocardiogram-guided insertion was more accurate than surface anatomy guided insertion (odds ratio: 8.3; 95% confidence interval (CI) 1.38; 50.07; p=0.02). There was a lack of reporting on complications, patient satisfaction and costs. Conclusion The evidence suggests that intracavitary electrocardiogram-based positioning is superior to surface-anatomy-guided positioning of central venous access devices, leading to significantly more successful placements. This technique could potentially remove the requirement for post-procedural chest X-ray, especially during peripherally inserted central catheter (PICC) line insertion.

Tip-induced C--H activation and oligomerization of thienoanthracenes

The tip of a scanning tunneling microscope (STM) can be used to dehydrogenate freely-diffusing tetrathienoanthracene (TTA) molecules on Cu(111), trapping the molecules into metal-coordinated oligomeric structures. The process proceeds at bias voltages above ∼3 V and produces organometallic structures identical to those resulting from the thermally-activated cross-coupling of a halogenated analogue. The process appears to be substrate dependent: no oligomerization was observed on Ag(111) or HOPG. This approach demonstrates the possibility of controlled synthesis and nanoscale patterning of 2D oligomer structures on selected surfaces.

The anatomical and biomechanical consequences of anterior vertebral stapling for the fusionless correction of scoliosis

Fusionless scoliosis surgery is an emerging treatment for idiopathic scoliosis as it offers theoretical advantages over current forms of treatment. Anterior vertebral stapling using a nitinol staple is one such treatment. Despite increasing interest in this technique, little is known about the effects on the spine following insertion, or the mechanism of action of the staple. The aims of this study were threefold; (1) to measure changes in the bending stiffness of a single motion segment following staple insertion, (2) to describe the forces that occur within the staple during spinal movement, and (3) to describe the anatomical changes that occur following staple insertion. Results suggest that staple insertion consistently decreased stiffness in all directions of motion. An explanation for the finding may be found in the outcomes of the strain gauge testing and micro-CT scan. The strain gauge testing showed that once inserted, the staple tips applied a baseline compressive force to the surrounding trabecular bone and vertebral end-plate. This finding would be consistent with the current belief that the clinical effect of the staples is via unilateral compression of the physis. Interestingly however, as each specimen progressed through the five cycles of each test, the baseline load on the staple tips gradually decreased, implying that the force at the staple tip-bone interface was decreasing. We believe that this was likely occurring as a result of structural damage to the trabecular bone and vertebral end-plate by the staple effectively causing ‘loosening’ of the staple. This hypothesis is further supported by the findings of the micro-CT scan. The pictures depict significant trabecular bone and physeal injury around the staple blades. These results suggest that the current hypothesis that stapling modulates growth through physeal compression may be incorrect, but rather the effect occurs through mechanical disruption of the vertebral growth plate.