Velocity jump processes with proliferation

Cell invasion involves a population of cells that migrate along a substrate and proliferate to a carrying capacity density. These two processes, combined, lead to invasion fronts that move into unoccupied tissues. Traditional modelling approaches based on reaction–diffusion equations cannot incorporate individual–level observations of cell velocity, as information propagates with infinite velocity according to these parabolic models. In contrast, velocity jump processes allow us to explicitly incorporate individual–level observations of cell velocity, thus providing an alternative framework for modelling cell invasion. Here, we introduce proliferation into a standard velocity–jump process and show that the standard model does not support invasion fronts. Instead, we find that crowding effects must be explicitly incorporated into a proliferative velocity–jump process before invasion fronts can be observed. Our observations are supported by numerical and analytical solutions of a novel coupled system of partial differential equations, including travelling wave solutions, and associated random walk simulations.

Imagination in school children's choice of their learning environment: An Australian study

A visual research project addressed school children's concepts of ideal learning environments. Drawings and accompanying narratives were collected from Year 5 and Year 6 children in nine Queensland primary schools. The 133 submissions were analysed and coded to develop themes, identify key features and consider the uses of imagination. The children's imagined schools echo ideas promoted by progressive educators. The results of this study suggest benefits for school designers can emerge from the imaginative contributions of children in creating engaging environments, while educational policy makers can benefit from children's ideas in the promotion of engaging, student-centred pedagogies.

Injury prevention among friends : the benefits of school connectedness

Background: Injury is a leading cause of adolescent death. Risk-taking behaviours, including unsafe road behaviours, violence and alcohol use, are primary contributors. Recent research suggests adolescents look out for their friends and engage in protective behaviour to reduce others’ involvement in risk-taking. A positive school environment, and particularly students’ school connectedness, is also associated with reduced injury-risks. Aim: This study aimed to understand the role of school connectedness in adolescents’ intentions to protect and prevent their friends from involvement in alcohol use, fights, drink driving and unlicensed driving. Method: Surveys were completed by 540 13-14 year old students (49% male). Four sequential logistic regression analyses were conducted to determine whether school connectedness statistically predicted intentions to protect friends from injury-risk behaviours. Gender and ethnicity were entered at step 1, students’ own risk behaviour at step 2, and school connectedness scores at step 3 for all analyses. Results: School connectedness significantly predicted intentions to protect friends from all four injury-risk behaviours, after accounting for the variance attributable to sex, ethnicity and adolescents’ own involvement in injury-risks. Significance: School connectedness is negatively associated with adolescents’ own injury-risk behaviours. This research extends our knowledge of this critical protective factor, as it shows that students who are connected to school are also more likely to protect their friends from alcohol use, violence and unsafe road behaviours. School connectedness may therefore be an important factor to target in school-based prevention programs, both to reduce adolescents’ own injury-risk behaviour and to increase injury prevention among friends.

Development of a school connectedness component of an adolescent injury prevention program : lessons for implementation

The school environment plays an important role in shaping adolescent outcomes, and research increasingly demonstrates the need to target the school social context in health promotion programs. This paper describes the research process undertaken to design a school connectedness component of an injury prevention program for early adolescents, Skills for Preventing Injury in Youth (SPIY). The connectedness component takes the form of a professional development workshop for teachers on increasing students’ connectedness to school, and this paper describes the research process used to construct program material. It also describes the methods used to encourage teachers’ implementation of connectedness strategies following program delivery. A multi-stage process of data collection included, (i) surveys with 540 Grade 9 students to examine links between school connectedness and risk-related injury, (ii) a systematic literature review of previously-evaluated school connectedness programs to determine key strategies that encourage implementation fidelity and program effectiveness, and (iii) interviews with 14 high school teachers to understand current use of connectedness strategies and ideas for program design. Findings from each stage are discussed in terms of how results informed the program design. The survey data provided information from which to frame program content, and the results of the systematic review demonstrated effective program strategies. The teacher interview data also provided program content incorporating target participants’ views and aligning with their priorities, which is important to ensure effective implementation of program strategies. A comprehensive design process provides an understanding of methods for, and may encourage, teachers’ future implementation of program strategies.

Reaching high-risk adolescents : a process evaluation of a school based injury prevention program

High-risk adolescents are a population most vulnerable to harm from injury due to increased engagement in risk taking behaviour. There is a gap in the literature regarding how universal school based injury prevention programs apply to high-risk adolescents. This study involves a component of the process evaluation of a school based injury prevention program, as it relates to high-risk adolescents (13-14 years)...

Using the index for inclusion to develop inclusive school communities

This chapter provides an overview of how school communities can work together in processes or review and development to strive towards a more inclusive approach to education. The writers of this chapter have been using a resource called the Index for Inclusion (Booth & Ainscow, 2005, 2011) for a number of years in Australia and in a pilot trail in New Zealand to support education staff in processes of review, with the aim to increase the participation and learning of all students. The resource supports the development of collaborative community processes and defines inclusion as ‘putting values into action’ (Booth & Ainscow, 2011, p.18). The process of review and development for more inclusive and socially just schools supports the development of a school culture, policy and practice where people are valued and treated with respect for their varied knowledge and experiences. In our experience, this resource has been useful to challenge our thinking about education in school communities and in region/districts about inclusive school development. We suggest the Index framework is broad enough to be used in a range of settings and countries. The resource is also useful for pre-service and in-service teacher development to provoke reflection and discussion about inclusion. This chapter provides an overview of the dimensions and framework that inform the Index of Inclusion. We discuss how the Index can be used in school contexts and draw on our own experience to give real examples of how teachers, paraprofessionals, students, principals and parents have experienced the Index when used in their local school communities in Australia and New Zealand. The chapter concludes with some points for discussion to challenge the status quo in schools and to inspire teachers to work towards a more socially just society through making changes at a school level.

Evaluation of implementation of a healthy food and drink supply strategy throughout the whole school environment in Queensland state schools, Australia

BACKGROUND/OBJECTIVES: This paper reports on the evaluation of the Smart Choices healthy food and drink supply strategy for Queensland schools (Smart Choices) implementation across the whole school environment in state government primary and secondary schools in Queensland, Australia. SUBJECTS/METHODS: Three concurrent surveys using different methods for each group of stakeholders that targeted all 1275 school Principals, all 1258 Parent and Citizens’ Associations (P&Cs) and a random sample of 526 tuckshop convenors throughout Queensland. Nine hundred and seventy-three Principals, 598 P&Cs and 513 tuckshop convenors participated with response rates of 78%, 48% and 98%, respectively. RESULTS: Nearly all Principals (97%), P&Cs (99%) and tuckshop convenors (97%) reported that their school tuckshop had implemented Smart Choices. The majority of Principals and P&Cs reported implementation, respectively, in: school breakfast programs (98 and 92%); vending machine stock (94 and 83%); vending machine advertising (85 and 84%); school events (87 and 88%); school sporting events (81 and 80%); sponsorship and advertising (93 and 84%); fundraising events (80 and 84%); and sporting clubs (73 and 75%). Implementation in curriculum activities, classroom rewards and class parties was reported, respectively, by 97%, 86% and 75% of Principals. Respondents also reported very high levels of understanding of Smart Choices and engagement of the school community. CONCLUSIONS: The results demonstrated that food supply interventions to promote nutrition across all domains of the school environment can be implemented successfully.

Low SES primary school students engaging in an after-school robotics program

Recent attention in education within many western contexts has focused on improved outcomes for students, with a particular focus on closing the gap between those who come from disadvantaged backgrounds and the rest of the student population. Much of this attention has supported a set of simplistic solutions to improving scores on high stakes standardized tests. The collateral damage (Nichols & Berliner, 2007) of such responses includes a narrowing of the curriculum, plateaus in gain scores on the tests, and unproductive blame games aimed by the media and politicians at teachers and communities (Nichols & Berliner, 2007; Synder, 2008). Alternative approaches to improving the quality and equity of schooling remain as viable alternatives to these measures. As an example in a recent study of school literacy reform in low SES schools, Luke, Woods and Dooley (2011) argued for the increase of substantive content and intellectual quality of the curriculum as a necessary means to re-engaging middle school students, improving outcomes of schooling and achieving a high quality, high equity system. The MediaClub is an afterschool program for students in years 4 to 7 (9-12 year old) at a primary school in a low SES area of a large Australian city. It is run as part of an Australian Research Council funded research project. The aim of the program has been to provide an opportunity for students to gain expertise in digital technologies and media literacies in an afterschool setting. It was hypothesized that this expertise might then be used to shift the ways of being literate that these students had to call on within classroom teaching and learning events. Each term, there is a different focus on digital media, and information and communication technology (ICT) activities in the MediaClub. The work detailed in this chapter relates to a robotics program presented as one of the modules within this afterschool setting. As part of the program, the participants were challenged to find creative solutions to problems in a constructivist-learning environment.

Identities and transformational experiences for quantitative problem solving : gender comparisons of first-year university science students

Women are underrepresented in science, technology, engineering and mathematics (STEM) areas in university settings; however this may be the result of attitude rather than aptitude. There is widespread agreement that quantitative problem-solving is essential for graduate competence and preparedness in science and other STEM subjects. The research question addresses the identities and transformative experiences (experiential, perception, & motivation) of both male and female university science students in quantitative problem solving. This study used surveys to investigate first-year university students’ (231 females and 198 males) perceptions of their quantitative problem solving. Stata (statistical analysis package version 11) analysed gender differences in quantitative problem solving using descriptive and inferential statistics. Males perceived themselves with a higher mathematics identity than females. Results showed that there was statistical significance (p<0.05) between the genders on 21 of the 30 survey items associated with transformative experiences. Males appeared to have a willingness to be involved in quantitative problem solving outside their science coursework requirements. Positive attitudes towards STEM-type subjects may need to be nurtured in females before arriving in the university setting (e.g., high school or earlier). Females also need equitable STEM education opportunities such as conversations or activities outside school with family and friends to develop more positive attitudes in these fields.

The relationship between fundamental movement skills and self-reported physical activity during Finnish junior high school

Background: Previous studies have shown that fundamental movement skills (FMS) and physical activity are related. Specifically, earlier studies have demonstrated that the ability to perform a variety of FMS increases the likelihood of children participating in a range of physical activities throughout their lives. To date, however, there have not been studies focused on the development of, or the relationship between, these variables through junior high school (that is, between the ages of 13 and 15). Such studies might provide important insights into the relationships between FMS and physical activity during adolescence, and suggest ways to design more effective physical education programmes for adolescents. Purpose: The main purposes of the study are: (1) to investigate the development of the students' self-reported physical activity and FMS from Grade 7 to Grade 9, (2) to analyse the associations among the students' FMS and self-reported physical activity through junior high school, (3) to analyse whether there are gender differences in research tasks one and/or two. Participants and setting: The participants in the study were 152 Finnish students, aged 13 and enrolled in Grade 7 at the commencement of the study. The sample included 66 girls and 86 boys who were drawn from three junior high schools in Middle Finland. Research design and data collection: Both the FMS tests and questionnaires pertaining to self-reported physical activity were completed annually during a 3 year period: in August (when the participants were in Grade 7), January (Grade 8), and in May (Grade 9). Data analysis: Repeated measures multivariate analysis of variances (MANOVAs) were used to analyse the interaction between gender and time (three measurement points) in FMS test sumscores and self-reported physical activity scores. The relationships between self-reported physical activity scores and fundamental movement skill sumscores through junior high school were analysed using Structural Equation Modelling (SEM) with LISREL 8.80 software. Findings: The MANOVA for self-reported physical activity demonstrated that both genders' physical activity decreased through junior high school. The MANOVA for the FMS revealed that the boys' FMS sumscore increased whereas the girls' skills decreased through junior high school. The SEM and squared multiple correlations revealed FMS in Grades 7 and 8 as well as physical activity in Grade 9 explained FMS in Grade 9. The portion of prediction was 69% for the girls and 55% for the boys. Additionally, physical activity measured in Grade 7 and FMS measured in Grade 9 explained physical activity in Grade 9. The portion of prediction was 12% for the girls and 29% for the boys. In the boys' group, three additional paths were found; FMS in Grade 7 explained physical activity in Grade 9, physical activity in Grade 7 explained FMS in Grade 8, and physical activity in Grade 7 explained physical activity in Grade 8. Conclusions: The study suggests that supporting and encouraging FMS and physical activity are co-related and when considering combined scores there is a greater likelihood of healthy lifelong outcomes. Therefore, the conclusion can be drawn that FMS curriculum in school-based PE is a plausible way to ensure good lifelong outcomes. Earlier studies support that school physical education plays an important role in developing students FMS and is in a position to thwart the typical decline of physical activity in adolescence. These concepts are particularly important for adolescent girls as this group reflects the greatest decline in physical activity during the adolescent period.

Confronting the shortage of skilled and professional workers : A large scale industry-school partnership initiative

In most of the advanced economies, students are losing interest in careers especially in engineering and related industries. Hence, western economies are confronting a critical skilled labour shortage in areas of technology, science and engineering. The aim of this paper is to document how the organisational and institutional elements of one industry-school partnerships initiative – The Gateway Schools Program - contribute to productive knowledge sharing and networking. In particular this paper focuses on an initiative of an Australian State government in response to a perceived crisis around the skills shortage in an economy transitioning from a localised to a global knowledge production economy. The Gateway Schools initiative signals the first sustained attempt in Australia to incorporate schools into production networks through strategic partnerships linking them to partner organisations at the industry level. We provide case examples of how four schools operationalise the partnerships with the mining and energy industries and how these partnerships as knowledge assets impact the delivery of curriculum and capacity building among teachers. A program theory approach to analysis, informed by theoretical perspectives of Bailey (1994), Bagnall (2007) and Walsh (2004) was adopted. Each of these theorists provides a related but different perspective on the establishment, purpose, and effectiveness respectively of partnerships. Our ultimate goal is to define those characteristics of successful partnerships that do contribute to enhanced interest and engagement by students in those careers that are currently experiencing critical shortages.

Budget-aware role based access control

The suitability of Role Based Access Control (RBAC) is being challenged in dynamic environments like healthcare. In an RBAC system, a user's legitimate access may be denied if their need has not been anticipated by the security administrator at the time of policy specification. Alternatively, even when the policy is correctly specified an authorised user may accidentally or intentionally misuse the granted permission. The heart of the challenge is the intrinsic unpredictability of users' operational needs as well as their incentives to misuse permissions. In this paper we propose a novel Budget-aware Role Based Access Control (B-RBAC) model that extends RBAC with the explicit notion of budget and cost, where users are assigned a limited budget through which they pay for the cost of permissions they need. We propose a model where the value of resources are explicitly defined and an RBAC policy is used as a reference point to discriminate the price of access permissions, as opposed to representing hard and fast rules for making access decisions. This approach has several desirable properties. It enables users to acquire unassigned permissions if they deem them necessary. However, users misuse capability is always bounded by their allocated budget and is further adjustable through the discrimination of permission prices. Finally, it provides a uniform mechanism for the detection and prevention of misuses.

Young children’s metarepresentational competence in data modelling

longitudinal study of data modelling across grades 1-3. The activity engaged children in designing, implementing, and analysing a survey about their new playground. Data modelling involves investigations of meaningful phenomena, deciding what is worthy of attention (identifying complex attributes), and then progressing to organising, structuring, visualising, and representing data. The core components of data modelling addressed here are children’s structuring and representing of data, with a focus on their display of metarepresentational competence (diSessa, 2004). Such competence includes students’ abilities to invent or design a variety of new representations, explain their creations, understand the role they play, and critique and compare the adequacy of representations. Reported here are the ways in which the children structured and represented their data, the metarepresentational competence displayed, and links between their metarepresentational competence and conceptual competence.

Collective dynamics and control of a 3-D small-world network with time delays

The paper presents a detailed analysis on the collective dynamics and delayed state feedback control of a three-dimensional delayed small-world network. The trivial equilibrium of the model is first investigated, showing that the uncontrolled model exhibits complicated unbounded behavior. Then three control strategies, namely a position feedback control, a velocity feedback control, and a hybrid control combined velocity with acceleration feedback, are then introduced to stabilize this unstable system. It is shown in these three control schemes that only the hybrid control can easily stabilize the 3-D network system. And with properly chosen delay and gain in the delayed feedback path, the hybrid controlled model may have stable equilibrium, or periodic solutions resulting from the Hopf bifurcation, or complex stranger attractor from the period-doubling bifurcation. Moreover, the direction of Hopf bifurcation and stability of the bifurcation periodic solutions are analyzed. The results are further extended to any "d" dimensional network. It shows that to stabilize a "d" dimensional delayed small-world network, at least a "d – 1" order completed differential feedback is needed. This work provides a constructive suggestion for the high dimensional delayed systems.

Front interactions in a three-component system

The three-component reaction-diffusion system introduced in [C. P. Schenk et al., Phys. Rev. Lett., 78 (1997), pp. 3781–3784] has become a paradigm model in pattern formation. It exhibits a rich variety of dynamics of fronts, pulses, and spots. The front and pulse interactions range in type from weak, in which the localized structures interact only through their exponentially small tails, to strong interactions, in which they annihilate or collide and in which all components are far from equilibrium in the domains between the localized structures. Intermediate to these two extremes sits the semistrong interaction regime, in which the activator component of the front is near equilibrium in the intervals between adjacent fronts but both inhibitor components are far from equilibrium there, and hence their concentration profiles drive the front evolution. In this paper, we focus on dynamically evolving N-front solutions in the semistrong regime. The primary result is use of a renormalization group method to rigorously derive the system of N coupled ODEs that governs the positions of the fronts. The operators associated with the linearization about the N-front solutions have N small eigenvalues, and the N-front solutions may be decomposed into a component in the space spanned by the associated eigenfunctions and a component projected onto the complement of this space. This decomposition is carried out iteratively at a sequence of times. The former projections yield the ODEs for the front positions, while the latter projections are associated with remainders that we show stay small in a suitable norm during each iteration of the renormalization group method. Our results also help extend the application of the renormalization group method from the weak interaction regime for which it was initially developed to the semistrong interaction regime. The second set of results that we present is a detailed analysis of this system of ODEs, providing a classification of the possible front interactions in the cases of $N=1,2,3,4$, as well as how front solutions interact with the stationary pulse solutions studied earlier in [A. Doelman, P. van Heijster, and T. J. Kaper, J. Dynam. Differential Equations, 21 (2009), pp. 73–115; P. van Heijster, A. Doelman, and T. J. Kaper, Phys. D, 237 (2008), pp. 3335–3368]. Moreover, we present some results on the general case of N-front interactions.