Travelling waves for a velocity–jump model of cell migration and proliferation

Cell invasion, characterised by moving fronts of cells, is an essential aspect of development, repair and disease. Typically, mathematical models of cell invasion are based on the Fisher–Kolmogorov equation. These traditional parabolic models can not be used to represent experimental measurements of individual cell velocities within the invading population since they imply that information propagates with infinite speed. To overcome this limitation we study combined cell motility and proliferation based on a velocity–jump process where information propagates with finite speed. The model treats the total population of cells as two interacting subpopulations: a subpopulation of left–moving cells, $L(x,t)$, and a subpopulation of right–moving cells, $R(x,t)$. This leads to a system of hyperbolic partial differential equations that includes a turning rate, $\Lambda \ge 0$, describing the rate at which individuals in the population change direction of movement. We present exact travelling wave solutions of the system of partial differential equations for the special case where $\Lambda = 0$ and in the limit that $\Lambda \to \infty$. For intermediate turning rates, $0 < \Lambda < \infty$, we analyse the travelling waves using the phase plane and we demonstrate a transition from smooth monotone travelling waves to smooth nonmonotone travelling waves as $\Lambda$ decreases through a critical value $\Lambda_{crit}$. We conclude by providing a qualitative comparison between the travelling wave solutions of our model and experimental observations of cell invasion. This comparison indicates that the small $\Lambda$ limit produces results that are consistent with experimental observations.

Working for a better life : longitudinal evidence on the predictors of employment among recently arrived refugee migrant men living in Australia

Although a number of studies have investigated the predictors of employment among refugee migrants, there is a dearth of evidence from longitudinal data. This study investigated the cross-sectional and longitudinal predictors of employment among 233 adult refugee men living in South-East Queensland, Australia. Participants were interviewed four times at six-month intervals between 2008 and 2010. Using a conceptual model developed from the literature, Generalised Estimating Equations were used to model the predictors of employment. Over time, the employment rate increased from 44 percent to 56 percent. Region of birth, length of time in Australia, seeking employment through job service providers and informal networks, and owning a car were significant predictors of employment. Contrary to previous research, English language proficiency was not a significant predictor when other variables were controlled for. Recognition of overseas skills and qualifications decreased the chances of finding employment. The policy and program implications are discussed.

Food policy, dietary intakes and chronic disease in prisons

International research on prisoners demonstrates poor health outcomes, including chronic disease, with the overall burden to the community high. Prisoners are predominantly male and young. In Australia, the average incarceration length is 3 years, sufficient to impact long term health, including nutrition. Food in prisons is highly controlled, yet gaps exist in policy. In most Western countries prisons promote healthy foods, often incongruent with prisoner expectations or wants. Few studies have been conducted on dietary intakes during incarceration in relation to food policy. In this study detailed diet histories were collected on 120/945 men (mean age = 32 years), in a high-secure prison. Intakes were verified via individual purchase records, mealtime observations, and audits of food preparation, purchasing and holdings. Physical measurements (including fasting bloods) were taken and medical records reviewed. Results showed the standard food provided consistent with current dietary guidelines, however limited in menu choice. Diet histories revealed self-funded foods contributing 1–63% of energy (mean = 30%), 0–83% sugar (mean = 38%), 1–77% saturated fats (mean = 31%) and 1–59% sodium (mean = 23%). High levels of modification to food provided was found using minimal cooking amenities and inclusion of self-funded foods and/or foods retained from previous meals. Medical records and physical measurements confirmed markers of chronic disease. This study highlights the need to establish clear guidelines on all food available in prisons if chronic disease risk reduction is a goal. This study has also supported evidenced based food and nutrition policy including menu choice, food quality, quantity and safety as well as type and access to self-funded foods.

Child sexual abuse prevention education : A review of school policy and curriculum provision in Australia

The past four decades have seen increasing public and professional awareness of child sexual abuse. Congruent with public health approaches to prevention, efforts to eliminate child sexual abuse have inspired the emergence of prevention initiatives which can be provided to all children as part of their standard school curriculum. However, relatively little is known about the scope and nature of child sexual abuse prevention efforts in government school systems internationally. This paper assesses and compares the policies and curriculum initiatives for child sexual abuse prevention education in primary (elementary) schools across state and territory Departments of Education in Australia. Using publicly available electronic data, a deductive qualitative content analysis of policy and curriculum documents was undertaken to examine the characteristics of child sexual abuse prevention education in these school systems. It was found that the system-level provision of child sexual abuse prevention education occurs unevenly across state and territory jurisdictions. This results in the potential for substantial inequity in Australian children’s access to learning opportunities in child abuse prevention education as a part of their standard school curriculum. In this research, we have developed a strategy for generating a set of theoretically-sound empirical criteria that may be more extensively applied in comparative research about prevention initiatives internationally.

Sensitivity of edge detection methods for quantifying cell migration assays

Quantitative imaging methods to analyze cell migration assays are not standardized. Here we present a suite of two–dimensional barrier assays describing the collective spreading of an initially–confined population of 3T3 fibroblast cells. To quantify the motility rate we apply two different automatic image detection methods to locate the position of the leading edge of the spreading population after 24, 48 and 72 hours. These results are compared with a manual edge detection method where we systematically vary the detection threshold. Our results indicate that the observed spreading rates are very sensitive to the choice of image analysis tools and we show that a standard measure of cell migration can vary by as much as 25% for the same experimental images depending on the details of the image analysis tools. Our results imply that it is very difficult, if not impossible, to meaningfully compare previously published measures of cell migration since previous results have been obtained using different image analysis techniques and the details of these techniques are not always reported. Using a mathematical model, we provide a physical interpretation of our edge detection results. The physical interpretation is important since edge detection algorithms alone do not specify any physical measure, or physical definition, of the leading edge of the spreading population. Our modeling indicates that variations in the image threshold parameter correspond to a consistent variation in the local cell density. This means that varying the threshold parameter is equivalent to varying the location of the leading edge in the range of approximately 1–5% of the maximum cell density.

Health and community services for trafficked women : an exploratory study of policy and practice

The trafficking of women has attracted considerable international and national policy attention, particularly since the UN Protocol to Prevent, Suppress and Punish Trafficking in Persons, Especially Women and Children (2000), of which the Australian Government has been a signatory since 2005. The provision of health and community services for trafficked women is a central feature of this Protocol, but in Australia service provision is made difficult by how trafficked women are understood and treated in policy and legal terms. This study aimed to explore the provision of health and community services for trafficked women in the Greater Sydney region through a series of interviews with government and non-government organisations. The findings reveal that services have been inaccessible as a result of sparse, uncoordinated, and poorly funded provision. The major obstacle to adequate and appropriate service provision has been a national policy approach focusing on 'border protection' and criminalisation rather than on trafficked women and their human rights. We conclude that further policy development needs to focus on the practical implications of how such rights can be translated into the delivery of health and community services that trafficked women can access and be supported by more effectively.

Hepatitis C and policy implementation : ethics as a dialogic process for resource allocation

Hepatitis C, which was first identified in 1988, has become an important issue for public health as epidemiological and clinical evidence has emerged. These disciplines have highlighted the extent of infection and its medical consequences. Now, governments at both the state and federal levels are sifting through this evidence and are attempting to create structures to deal with the problem of hepatitis C. These structures have generally taken the form of expert committees and working parties organised from established medical, scientific and public health bodies...

New and young firms Entrepreneurship policy and the role of government – evidence from the Federation of Small Businesses survey

Purpose – The purpose of this paper is to investigate whether new and young firms are different from older firms. This analysis is undertaken to explore general characteristics, use of external resources and growth orientation. Design/methodology/approach – Data from the 2008 UK Federation of Small Businesses survey provided 8,000 responses. Quantitative analysis identified significantly different characteristics of firms from 0-4, 4-9, 9-19 and 20+ years. Factor analysis was utilised to identify the advice sets, finance and public procurement customers of greatest interest, with ANOVA used to statistically compare firms in the identified age groups with different growth aspirations. Findings – The findings reveal key differences between new, young and older firms in terms of characteristics including business sector, owner/manager age, education/business experience, legal status, intellectual property and trading performance. New and young firms were more able to access beneficial resources in terms of finance and advice from several sources. New and young firms were also able to more easily access government and external finance, as well as government advice, but less able to access public procurement. Research limitations/implications – New and young firms are utilising external networks to access several resources for development purposes, and this differs for older firms. This suggests that a more explicit age-differentiated focus is required for government policies aimed at supporting firm growth. Originality/value – The study provides important baseline data for future quantitative and qualitative studies focused on the impact of firm age and government policy.

Narrative, education policy and the newsprint media : A critical discourse analysis of the construction of young people's participation in education or employment

This thesis used Critical Discourse Analysis to investigate how a government policy and the newsprint media constructed discussion about young people’s participation in education or employment. The study found that a continuous narrative across both sites about government as a noble agent taking action to redress the social disruption caused by young people’s disengagement. Unlike the education policy, the newsprint media blamed young people who were disengaged and failed to recognise the barriers they often face. The study points to possibilities for utilising the power of narrative to build a more fair and rigorous discussion of issues in the public sphere.

Land use conflict across the airport fence : competing urban policy, planning and priority in Australia

Land use planning within and surrounding privatised Australian capital city airports is a fragmented process as a result of: current legislative and policy frameworks; competing stakeholder priorities and interests; and inadequate coordination and disjointed decision-making. Three Australian case studies are examined to detail the context of airport and regional land use planning. Stakeholder Land Use Forums within each case study have served to inform the procedural dynamics and relationships between airport and regional land use decision-making. This article identifies significant themes and stakeholder perspectives regarding on-airport development and broader urban land use policy and planning. First, it outlines the concept of the “airport city” and examines the model of airport and regional “interfaces.” Then, it details the policy context that differentiates on-airport land use planning from planning within the surrounding region. The article then analyses the results of the Land Use Forums identifying key themes within the shared and reciprocal interfaces of governance, environment, economic development and infrastructure. The article concludes by detailing the implications of this research to broader urban planning and highlights the core issues contributing to the fragmentation of airport and regional land use planning policy.

Synergies and goal conflicts for climate change policy and spatial planning

The purpose of this paper is to identify goal conflicts – both actual and potential – between climate and social policies in government strategies in response to the growing significance of climate change as a socioecological issue (IPCC 2007). Both social and climate policies are political responses to long-term societal trends related to capitalist development, industrialisation, and urbanisation (Koch, 2012). Both modify these processes through regulation, fiscal transfers and other measures, thereby affecting conditions for the other. This means that there are fields of tensions and synergies between social policy and climate change policy. Exploring these tensions and synergies is an increasingly important task for navigating genuinely sustainable development. Gough et al (2008) highlight three potential synergies between social and climate change policies: First, income redistribution – a traditional concern of social policy – can facilitate use of and enhance efficiency of carbon pricing. A second area of synergy is housing, transport, urban policies and community development, which all have potential to crucially contribute towards reducing carbon emissions. Finally, climate change mitigation will require substantial and rapid shifts in producer and consumer behaviour. Land use planning policy is a critical bridge between climate change and social policy that provides a means to explore the tensions and synergies that are evolving within this context. This paper will focus on spatial planning as an opportunity to develop strategies to adapt to climate change, and reviews the challenges of such change. Land use and spatial planning involve the allocation of land and the design and control of spatial patterns. Spatial planning is identified as being one of the most effective means of adapting settlements in response to climate change (Hurlimann and March, 2012). It provides the instrumental framework for adaptation (Meyer, et al., 2010) and operates as both a mechanism to achieve adaptation and a forum to negotiate priorities surrounding adaptation (Davoudi, et al., 2009). The acknowledged role of spatial planning in adaptation however has not translated into comparably significant consideration in planning literature (Davoudi, et al., 2009; Hurlimann and March, 2012). The discourse on adaptation specifically through spatial planning is described as ‘missing’ and ‘subordinate’ in national adaptation plans (Greiving and Fleischhauer, 2012),‘underrepresented’ (Roggema, et al., 2012)and ‘limited and disparate’ in planning literature (Davoudi, et al., 2009). Hurlimann and March (2012) suggest this may be due to limited experiences of adaptation in developed nations while Roggema et al. (2012) and Crane and Landis (2010) suggest it is because climate change is a wicked problem involving an unfamiliar problem, various frames of understanding and uncertain solutions. The potential for goal conflicts within this policy forum seem to outweigh the synergies. Yet, spatial planning will be a critical policy tool in the future to both protect and adapt communities to climate change.

Cell migration and proliferation on homogeneous and non-homogeneous domains : modelling on the scale of individuals and populations

Cell migration is a behaviour critical to many key biological effects, including wound healing, cancerous cell invasion and morphogenesis, the development of an organism from an embryo. However, given that each of these situations is distinctly different and cells are extremely complicated biological objects, interest lies in more basic experiments which seek to remove conflating factors and present a less complex environment within which cell migration can be experimentally examined. These include in vitro studies like the scratch assay or circle migration assay, and ex vivo studies like the colonisation of the hindgut by neural crest cells. The reduced complexity of these experiments also makes them much more enticing as problems to mathematically model, like done here. The primary goal of the mathematical models used in this thesis is to shed light on which cellular behaviours work to generate the travelling waves of invasion observed in these experiments, and to explore how variations in these behaviours can potentially predict differences in this invasive pattern which are experimentally observed when cell types or chemical environment are changed. Relevant literature has already identified the difficulty of distinguishing between these behaviours when using traditional mathematical biology techniques operating on a macroscopic scale, and so here a sophisticated individual-cell-level model, an extension of the Cellular Potts Model (CPM), is been constructed and used to model a scratch assay experiment. This model includes a novel mechanism for dealing with cell proliferations that allowed for the differing properties of quiescent and proliferative cells to be implemented into their behaviour. This model is considered both for its predictive power and used to make comparisons with the travelling waves which result in more traditional macroscopic simulations. These comparisons demonstrate a surprising amount of agreement between the two modelling frameworks, and suggest further novel modifications to the CPM that would allow it to better model cell migration. Considerations of the model’s behaviour are used to argue that the dominant effect governing cell migration (random motility or signal-driven taxis) likely depends on the sort of invasion demonstrated by cells, as easily seen by microscopic photography. Additionally, a scratch assay simulated on a non-homogeneous domain consisting of a ’fast’ and ’slow’ region is also used to further differentiate between these different potential cell motility behaviours. A heterogeneous domain is a novel situation which has not been considered mathematically in this context, nor has it been constructed experimentally to the best of the candidate’s knowledge. Thus this problem serves as a thought experiment used to test the conclusions arising from the simulations on homogeneous domains, and to suggest what might be observed should this non-homogeneous assay situation be experimentally realised. Non-intuitive cell invasion patterns are predicted for diffusely-invading cells which respond to a cell-consumed signal or nutrient, contrasted with rather expected behaviour in the case of random-motility-driven invasion. The potential experimental observation of these behaviours is demonstrated by the individual-cell-level model used in this thesis, which does agree with the PDE model in predicting these unexpected invasion patterns. In the interest of examining such a case of a non-homogeneous domain experimentally, some brief suggestion is made as to how this could be achieved.

Fractional models for the migration of biological cells in complex spatial domains

Travelling wave phenomena are observed in many biological applications. Mathematical theory of standard reaction-diffusion problems shows that simple partial differential equations exhibit travelling wave solutions with constant wavespeed and such models are used to describe, for example, waves of chemical concentrations, electrical signals, cell migration, waves of epidemics and population dynamics. However, as in the study of cell motion in complex spatial geometries, experimental data are often not consistent with constant wavespeed. Non-local spatial models have successfully been used to model anomalous diffusion and spatial heterogeneity in different physical contexts. In this paper, we develop a fractional model based on the Fisher-Kolmogoroff equation and analyse it for its wavespeed properties, attempting to relate the numerical results obtained from our simulations to experimental data describing enteric neural crest-derived cells migrating along the intact gut of mouse embryos. The model proposed essentially combines fractional and standard diffusion in different regions of the spatial domain and qualitatively reproduces the behaviour of neural crest-derived cells observed in the caecum and the hindgut of mouse embryos during in vivo experiments.

Enterprise policy and the metagovernance of firm capabilities

The underlying logic of enterprise policy is that there are impediments to change in economic systems that can be traced to the path-dependent behaviors of economic actors that prevent them from exploring new knowledge and new ways of doing things. Enterprise policy involves firm-level interventions delivered by distributed networks of business advisors coordinated by knowledge intermediaries. These metagovernance arrangements are able to disrupt the path-dependent behaviors of organizations. The logic and benefits of enterprise policy are explored through reference to public administration, strategic management and evolutionary theory, and three case studies.