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.

"They did not believe me" : Adult survivors' perspectives of child sexual abuse by personnel in Christian Institutions

Executive Summary Child sexual abuse (CSA) in Christian Institutions continues to be of serious concern in public, criminal justice and institutional discourse. This study was conducted in conjunction with Project Kidsafe Foundation and sought the perspectives of Australian survivors of CSA by Personnel in Christian Institutions (PICIs). In total, 81 individual survivors responded to an online survey which asked them a range of questions about their current and childhood life circumstance; the nature, extent and location of abuse; grooming strategies utilised by perpetrators; their experiences of disclosure; and outcomes of official reporting to both criminal justice agencies and also official processes Christian institutions. Survey participants were given the option to further participate in a qualitative interview with the principal researcher. These interviews are not considered within this report. In summary, survey data examined here indicate that: • Instances of abuse included a range of offences from touching outside of clothing to serious penetrative offences. • The onset of abuse occurred at a young age: between 6 and 10 years for most female participants, and 11 and 13 years for male participants. • In the majority of cases the abuse ceased because of actions by survivors, not by adults within families or the Christian institution. • Participants waited significant time before disclosing their abuse, with many waiting 20 years or more. • Where survivors disclosed to family members or PICIs, they were often met with disbelief and unhelpful responses aimed at minimising the harm. • Where an official report was made, it was most often made to police. In these cases 53% resulted in an official investigations. • The primary reasons for reporting were to protect others from the perpetrator and make the Christian institution accountable to an external agency. • Where reports to Christian institutions were made, most survivors were dissatisfied with outcomes, and a smaller majority was extremely dissatisfied. This report reflects the long-held understanding that responding to CSA is a complex and difficult task. If effective and meaningful responses are not made, however, trauma to the survivor is most often compounded and recovery delayed. This report demonstrates the need for further independent analysis and oversight of responses made to CSA by both criminal justice, religious and social institutions. Meaningful change will only be accessible, however, if family, community and institutional environments are safe places for survivors to disclose their experiences of abuse and begin to seek ways of healing. There is much to be learnt from survivors that have already made this journey.

Autologous vs. allogenic mesenchymal progenitor cells for the reconstruction of critical-sized segmental tibial bone defects in aged sheep

Mesenchymal progenitor cells (MPCs) represent an attractive cell population for bone tissue engineering. Their special immunological characteristics suggest that MPCs may be used in an allogenic application. The objective of this study was to compare the regenerative potential of autologous vs. allogenic MPCs in an ovine critical-sized segmental defect model. Ovine MPCs were isolated from bone marrow aspirates, expanded and cultured with osteogenic media for two weeks before implantation. Autologous and allogenic transplantation was performed by using the cell-seeded scaffolds, unloaded scaffolds and the application of autologous bone grafts served as control groups (n=6). Bone healing was assessed twelve weeks after surgery by radiology, micro computed tomography, biomechanical testing and histology. Radiology, biomechanical testing and histology revealed no significant difference in bone formation between the autologous and allogenic group. Both cell groups showed more bone formation than the scaffold alone, whereas the biomechanical data showed no significant differences between the cell-groups and the unloaded scaffolds. The results of the study suggest that scaffold based bone tissue engineering using allogenic cells offers the potential for an off the shelf product. Therefore, the results of this study serve as an important baseline for the translation of the assessed concepts into clinical application.

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.

Simplified method for including spatial correlations in mean-field approximations

Biological systems involving proliferation, migration and death are observed across all scales. For example, they govern cellular processes such as wound-healing, as well as the population dynamics of groups of organisms. In this paper, we provide a simplified method for correcting mean-field approximations of volume-excluding birth-death-movement processes on a regular lattice. An initially uniform distribution of agents on the lattice may give rise to spatial heterogeneity, depending on the relative rates of proliferation, migration and death. Many frameworks chosen to model these systems neglect spatial correlations, which can lead to inaccurate predictions of their behaviour. For example, the logistic model is frequently chosen, which is the mean-field approximation in this case. This mean-field description can be corrected by including a system of ordinary differential equations for pair-wise correlations between lattice site occupancies at various lattice distances. In this work we discuss difficulties with this method and provide a simplication, in the form of a partial differential equation description for the evolution of pair-wise spatial correlations over time. We test our simplified model against the more complex corrected mean-field model, finding excellent agreement. We show how our model successfully predicts system behaviour in regions where the mean-field approximation shows large discrepancies. Additionally, we investigate regions of parameter space where migration is reduced relative to proliferation, which has not been examined in detail before, and our method is successful at correcting the deviations observed in the mean-field model in these parameter regimes.

Identification of symptom clusters in patients with chronic venous leg ulcers

Context Patients with venous leg ulcers experience multiple symptoms, including pain, depression, and discomfort from lower leg inflammation and wound exudate. Some of these symptoms impair wound healing and decrease quality of life (QOL). The presence of co-occurring symptoms may have a negative effect on these outcomes. The identification of symptom clusters could potentially lead to improvements in symptom management and QOL. Objectives To identify the prevalence and severity of common symptoms and the occurrence of symptom clusters in patients with venous leg ulcers. Methods For this secondary analysis, data on sociodemographic characteristics, medical history, venous history, ulcer and lower limb clinical characteristics, symptoms, treatments, healing, and QOL were analyzed from a sample of 318 patients with venous leg ulcers who were recruited from hospital outpatient and community nursing clinics for leg ulcers. Exploratory factor analysis was used to identify symptom clusters. Results Almost two-thirds (64%) of the patients experienced four or more concurrent symptoms. The most frequent symptoms were sleep disturbance (80%), pain (74%), and lower limb swelling (67%). Sixty percent of patients reported three or more symptoms at a moderate-to-severe level of intensity (e.g., 78% reported disturbed sleep frequently or always; the mean pain severity score was 49 of 100, SD 26.5). Exploratory factor analysis identified two symptom clusters: pain, depression, sleep disturbance, and fatigue; and swelling, inflammation, exudate, and fatigue. Conclusion Two symptom clusters were identified in this sample of patients with venous leg ulcers. Further research is needed to verify these symptom clusters and to evaluate their effect on patient outcomes.

Investigating epidermogenesis in a human skin equivalent model

Skin is the largest, and arguably, the most important organ of the body. It is a complex and multi-dimensional tissue, thus making it essentially impossible to fully model in vitro in conventional 2-dimensional culture systems. In view of this, rodents or pigs are utilised to study wound healing therapeutics or to investigate the biological effects of treatments on skin. However, there are many differences between the wound healing processes in rodents compared to humans (contraction vs. re-epithelialisation) and there are also ethical issues associated with animal testing for scientific research. Therefore, the development of skin equivalent (HSE) models from surgical discard human skin has become an important area of research. The studies in this thesis compare, for the first time, native human skin and the epidermogenesis process in a HSE model. The HSE was reported to be a comparable model for human skin in terms of expression and localisation of key epidermal cell markers. This validated HSE model was utilised to study the potential wound healing therapeutic, hyperbaric oxygen (HBO) therapy. There is a significant body of evidence suggesting that lack of cutaneous oxygen results in and potentiates the chronic, non-healing wound environment. Although the evidence is anecdotal, HBO therapy has displayed positive effects on re-oxygenation of chronic wounds and the clinical outcomes suggest that HBO treatment may be beneficial. Therefore, the HSE was subjected to a daily clinical HBO regime and assessed in terms of keratinocyte migration, proliferation, differentiation and epidermal thickening. HBO treatment was observed to increase epidermal thickness, in particular stratum corneum thickening, but it did not alter the expression or localisation of standard epidermal cell markers. In order to elucidate the mechanistic changes occurring in response to HBO treatment in the HSE model, gene microarrays were performed, followed by qRT-PCR of select genes which were differentially regulated in response to HBO treatment. The biological diversity of the HSEs created from individual skin donors, however, overrode the differences in gene expression between treatment groups. Network analysis of functional changes in the HSE model revealed general trends consistent with normal skin growth and maturation. As a more robust and longer term study of these molecular changes, protein localisation and expression was investigated in sections from the HSEs undergoing epidermogenesis in response to HBO treatment. These proteins were CDCP1, Metallothionein, Kallikrein (KLK) 1 and KLK7 and early growth response 1. While the protein expression within the HSE models exposed to HBO treatment were not consistent in all HSEs derived from all skin donors, this is the first study to detect and compare both KLK1 and CDCP1 protein expression in both a HSE model and native human skin. Furthermore, this is the first study to provide such an in depth analysis of the effect of HBO treatment on a HSE model. The data presented in this thesis, demonstrates high levels of variation between individuals and their response to HBO treatment, consistent with the clinical variation that is currently observed.

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.

Confronting the conspiracy of silence and denial of difference for late discovery adoptive persons and donor conceived people

This article outlines the impact that a conspiracy of silence and denial of difference has had on some adopted and donor conceived persons who have been lied to or misled about their origins. Factors discussed include deceit - expressed as a central secret which undermines the fabric of a family and through distortion mystifies communication processes; the shock of discovery - often revealed accidentally and the associated sense of betrayal when this occurs; and a series of losses, for example, kinship, medical history, culture and agency which result in having to rebuild personal identity. By providing those affected with a voice, validation and vindication healing can begin. Any feelings of disregard, of betrayal of trust, of anger, frustration, sorrow or loss, need to be regarded as real, expected, and above all, a valid reaction to what has occurred. The author is a 'late discoverer' of her adoption and draws on the information from her doctoral research on the same topic which was completed in 2012.

Chitosan-collagen scaffolds with nano/microfibrous architecture for skin tissue engineering

In this study, a hierarchical nano/microfibrous chitosan/collagen scaffold that approximates structural and functional attributes of native extracellular matrix (ECM), has been developed for applicability in skin tissue engineering. Scaffolds were produced by electrospinning of chitosan followed by imbibing of collagen solution, freeze-drying and subsequent cross-linking of two polymers. Scanning electron microscopy showed formation of layered scaffolds with nano/microfibrous architechture. Physico-chemical properties of scaffolds including tensile strength, swelling behavior and biodegradability were found satisfactory for intended application. 3T3 fibroblasts and HaCaT keratinocytes showed good in vitro cellular response on scaffolds thereby indicating the matrices′ cytocompatible nature. Scaffolds tested in an ex vivo human skin equivalent (HSE) wound model, as a preliminary alternative to animal testing, showed keratinocyte migration and wound re-epithelization — a pre-requisite for healing and regeneration. Taken together, the herein proposed chitosan/collagen scaffold, shows good potential for skin tissue engineering.

Lessons from media reporting of natural disasters : a case study of the 2011 flash floods in Toowoomba and the Lockyer Valley

Practice-led journalism research techniques were used in this study to produce a ‘first draft of history’ recording the human experience of survivors and rescuers during the January 2011 flash flood disaster in Toowoomba and the Lockyer Valley in Queensland, Australia. The study aimed to discover what can be learnt from engaging in journalistic reporting of natural disasters. This exegesis demonstrates that journalism can be both a creative practice and a research methodology. About 120 survivors, rescuers and family members of victims participated in extended interviews about what happened to them and how they survived. Their stories are the basis for two creative outputs of the study: a radio documentary and a non-fiction book, that document how and why people died, or survived, or were rescued. Listeners and readers are taken "into the flood" where they feel anxious for those in peril, relief when people are saved, and devastated when babies, children and adults are swept away to their deaths. In undertaking reporting about the human experience of the floods, several significant elements about journalistic reportage of disasters were exposed. The first related to the vital role that the online social media played during the disaster for individuals, citizen reporters, journalists and emergency services organisations. Online social media offer reporters powerful new reporting tools for both gathering and disseminating news. The second related to the performance of journalists in covering events involving traumatic experiences. Journalists are often required to cover trauma and are often amongst the first-responders to disasters. This study found that almost all of the disaster survivors who were approached were willing to talk in detail about their traumatic experiences. A finding of this project is that journalists who interview trauma survivors can develop techniques for improving their ability to interview people who have experienced traumatic events. These include being flexible with interview timing and selecting a location; empowering interviewees to understand they don’t have to answer every question they are asked; providing emotional security for interviewees; and by being committed to accuracy. Survivors may exhibit posttraumatic stress symptoms but some exhibit and report posttraumatic growth. The willingness of a high proportion of the flood survivors to participate in the flood research made it possible to document a relatively unstudied question within the literature about journalism and trauma – when and why disaster survivors will want to speak to reporters. The study sheds light on the reasons why a group of traumatised people chose to speak about their experiences. Their reasons fell into six categories: lessons need to be learned from the disaster; a desire for the public to know what had happened; a sense of duty to make sure warning systems and disaster responses to be improved in future; personal recovery; the financial disinterest of reporters in listening to survivors; and the timing of the request for an interview. Feedback to the creative-practice component of this thesis - the book and radio documentary - shows that these issues are not purely matters of ethics. By following appropriate protocols, it is possible to produce stories that engender strong audience responses such as that the program was "amazing and deeply emotional" and "community storytelling at its most important". Participants reported that the experience of the interview process was "healing" and that the creative outcome resulted in "a very precious record of an afternoon of tragedy and triumph and the bitter-sweetness of survival".

Matrix metalloproteinase biosensor based on a porous silicon reflector

Matrix metalloproteinases (MMPs) are proteolytic enzymes important to wound healing. In non-healing wounds, it has been suggested that MMP levels become dysfunctional, hence it is of great interest to develop sensors to detect MMP biomarkers. This study presents the development of a label-free optical MMP biosensor based on a functionalised porous silicon (pSi) thin film. The biosensor is fabricated by immobilising a peptidomimetic MMP inhibitor in the porous layer using hydrosilylation followed by amide coupling. The binding of MMP to the immobilised inhibitor translates into a change of effective optical thickness (EOT) over the time. We investigate the effect of surface functionalisation on the stability of pSi surface and evaluate the sensing performance. We successfully demonstrate MMP detection in buffer solution and human wound fluid at physiologically relevant concentrations. This biosensor may find application as a point-of-care device that is prognostic of the healing trajectory of chronic wounds.

Criminal desistance : life opportunities and hermeneutic circles of self-definition

The emic perspective of criminal desistance (ex-offenders’ personal explanations of how they gave up crime) is largely ignored by criminology. This thesis attempts to address this absence of the storyteller’s perspective by inviting desisters to participate in the exploration and interpretation of their individual desistance journeys. Significant attention is drawn to the importance of philosophical self-enquiry to personal change. This detailed journey through the desistance stories of five ex-offenders has produced an emphatic re-statement of the need for the non-judgemental listener as the beginning point of cathartic healing in damaged lives.

Mechanical testing and modelling of a bone-implant construct

Finite Element modelling of bone fracture fixation systems allows computational investigation of the deformation response of the bone to load. Once validated, these models can be easily adapted to explore changes in design or configuration of a fixator. The deformation of the tissue within the fracture gap determines its healing and is often summarised as the stiffness of the construct. FE models capable of reproducing this behaviour would provide valuable insight into the healing potential of different fixation systems. Current model validation techniques lack depth in 6D load and deformation measurements. Other aspects of the FE model creation such as the definition of interfaces between components have also not been explored. This project investigated the mechanical testing and FE modelling of a bone– plate construct for the determination of stiffness. In depth 6D measurement and analysis of the generated forces, moments and movements showed large out of plane behaviours which had not previously been characterised. Stiffness calculated from the interfragmentary movement was found to be an unsuitable summary parameter as the error propagation is too large. Current FE modelling techniques were applied in compression and torsion mimicking the experimental setup. Compressive stiffness was well replicated, though torsional stiffness was not. The out of plane behaviours prevalent in the experimental work were not replicated in the model. The interfaces between the components were investigated experimentally and through modification to the FE model. Incorporation of the interface modelling techniques into the full construct models had no effect in compression but did act to reduce torsional stiffness bringing it closer to that of the experiment. The interface definitions had no effect on out of plane behaviours, which were still not replicated. Neither current nor novel FE modelling techniques were able to replicate the out of plane behaviours evident in the experimental work. New techniques for modelling loads and boundary conditions need to be developed to mimic the effects of the entire experimental system.

The effect of polystyrene sodium sulfonate grafting on polyethylene terephthalate artificial ligaments on in vitro mineralisation and in vivo bone tissue integration

This study investigates the impact of polystyrene sodium sulfonate (PolyNaSS) grafting onto the osseo-integration of a polyethylene terephthalate artificial ligament (Ligament Advanced Reinforcement System, LARS™) used for Anterior Cruciate Ligament (ACL). The performance of grafted and non-grafted ligaments was assessed in vitro by culturing human osteoblasts under osteogenic induction and this demonstrated that the surface modification was capable of up-regulating the secretion of ALP and induced higher level of mineralisation as measured 6 weeks post-seeding by Micro-Computed Tomography. Grafted and non-grafted LARS™ were subsequently implanted in an ovine model for ACL reconstruction and the ligament-to-bone interface was evaluated by histology and biomechanical testings 3 and 12 months post-implantation. The grafted ligaments exhibited more frequent direct ligament-to-bone contact and bone formation in the core of the ligament at the later time point than the non-grafted specimens, the grafting also significantly reduced the fibrous encapsulation of the ligament 12 months post-implantation. However, this improved osseo-integration was not translated into a significant increase in the biomechanical pull-out loads. These results provide evidences that PolyNaSS grafting improved the osseo-integration of the artificial ligament within the bone tunnels. This might positively influence the outcome of the surgical reconstructions, as higher ligament stability is believed to limit micro-movement and therefore permits earlier and enhanced healing.