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

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

Organisational driving safety systems analysis: Fleet safety situational issues and system gaps

The identification of safety hazards and risks and their associated control measures provides the foundation for any safety program and essentially determines the scope, content and complexity of an effective occupational health and safety management system. In the case of work-related road safety (WRRS), there is a gap within current knowledge, research and practice regarding the holistic assessment of WRRS safety systems and practice. In order to mitigate this gap, a multi-level process tool for assessing WRRS safety systems was developed from extensive consultation, practice and informed by theoretical models and frameworks. Data collection for the Organisational Driving Safety Systems Analysis (ODSSA) tool utilised a case study methodology and included multiple information sources: such as documents, archival records, interviews, direct observations, participant observations, and physical artefacts. Previous trials and application of the ODSSA has indicated that the tool is applicable to a wide range of organisational fleet environments and settings. This paper reports on the research results and effectiveness of the ODSSA tool to assess WRRS systems across a large organisation that recently underwent considerable organisational change, including amalgamation of multiple organisations. The outcomes of this project identified considerable differences in the degree by which the organisation addressed WRRS across their vehicle fleet operations and provided guidelines for improving organisations’ WRRS systems. The ODSSA tool was pivotal in determining WRRS system deficiencies and provided a platform to inform mitigation and improvement strategies.

Three-dimensional 3d-4f heterometallic polymers containing both azide and carboxylate as co-ligands

The hydrothermal reaction of Ln(NO3)(3), Ni(NO3)(2), NaN3, and isonicotinic acid (L) yielded two novel 3-D coordination frameworks (1 and 2) of general formula [Ni(2)Ln(L)(5)(N-3)(2)(H2O)(3)] center dot 2H(2)O (Ln = Pr(III) for 1 and Nd(III) for 2), containing Ni-Pr or Ni-Nd hybrid extended three-dimensional networks containing both azido and carboxylate as co-ligands. Both the compounds are found to be isostructural and crystallize in monoclinic system having P2(1)/n space group. Here the lanthanide ions are found to be nonacoordinated. Both bidentate and monodentate modes of binding of the carboxylate with the lanthanides have been observed in the above complexes. Variable temperature magnetic studies of the above two complexes have been investigated in the temperature range 2-300 K which showed dominant antiferromagnetic interaction in both the cases and these experimental results are analyzed with the theoretical models. (c) 2008 Elsevier B.V. All rights reserved.

Society by Numbers : Studies on Model-Based Explanations in the Social Sciences

The aim of this dissertation is to provide conceptual tools for the social scientist for clarifying, evaluating and comparing explanations of social phenomena based on formal mathematical models. The focus is on relatively simple theoretical models and simulations, not statistical models. These studies apply a theory of explanation according to which explanation is about tracing objective relations of dependence, knowledge of which enables answers to contrastive why and how-questions. This theory is developed further by delineating criteria for evaluating competing explanations and by applying the theory to social scientific modelling practices and to the key concepts of equilibrium and mechanism. The dissertation is comprised of an introductory essay and six published original research articles. The main theses about model-based explanations in the social sciences argued for in the articles are the following. 1) The concept of explanatory power, often used to argue for the superiority of one explanation over another, compasses five dimensions which are partially independent and involve some systematic trade-offs. 2) All equilibrium explanations do not causally explain the obtaining of the end equilibrium state with the multiple possible initial states. Instead, they often constitutively explain the macro property of the system with the micro properties of the parts (together with their organization). 3) There is an important ambivalence in the concept mechanism used in many model-based explanations and this difference corresponds to a difference between two alternative research heuristics. 4) Whether unrealistic assumptions in a model (such as a rational choice model) are detrimental to an explanation provided by the model depends on whether the representation of the explanatory dependency in the model is itself dependent on the particular unrealistic assumptions. Thus evaluating whether a literally false assumption in a model is problematic requires specifying exactly what is supposed to be explained and by what. 5) The question of whether an explanatory relationship depends on particular false assumptions can be explored with the process of derivational robustness analysis and the importance of robustness analysis accounts for some of the puzzling features of the tradition of model-building in economics. 6) The fact that economists have been relatively reluctant to use true agent-based simulations to formulate explanations can partially be explained by the specific ideal of scientific understanding implicit in the practise of orthodox economics.

Luova mieli : lähikuvassa muusikoiden luomisprosessit

This work studied the creative process of musicians. The subject was chosen partly due to the attention given to creativity in social discussion. The approach was material-based, because during the work it became clear that the theoretical models describing the creative process in general did not provide adequate tools for the examination of musical creation. In this study, the creative process was defined as a process, which generated a work found by the musician novel to him or her. There were two principal research questions: 1) How does the creative process of musicians progress? 2) What makes a process creative? The main emphasis was on the first question, because the study aimed at modeling the creative process of musicians. The material for this study was collected by interviewing five professional musicians, each qualified by an expert of music to be creative. The interviews were thematically linked with each musician’s recently implemented creative process. The work generated in the process was used as a stimulant in the interview. The main themes of the interview dealt with the musician’s concrete action, cognitive functioning and affective experience during the process. Secondary themes included his or her goals as well as the factors that enhanced or inhibited the process. A material-based analysis was made of the interviews. The conceptualization and modelling of the creative process was founded on a phenomenological-hermeneutic interpretation. In addition to the primary interviews, also supplementary interviews were made in order to ensure that the description of the musician was understood correctly. Further supplementary interviews were made when the material was analyzed and results were deduced. This aimed at increasing the reliability of interpretations and conclusions. The study resulted in a four-level model representing the progress of a creative process. The levels were defined by means of the conception of state. The levels used in defining the process were 1) the state determining the potential of the process, 2) the state delimiting the process, 3) the state orienting the process, and 4) the state determined by the process. The progress of the process was described as changes taking place in the state. It was discovered that the factors having an effect on the creativity of the process were the dynamism of the process, the musician’s work in relation to his or her inner standard and the impulses that caused variation in the musician’s thinking. The interview method used in this study proved to be a very suitable tool in an examination of a creative process. Thus it may well be applicable in other research contexts associated with creative processes. The outcome of this study, the model of the progress of a creative process, should also provide a feasible basis for the examination of different kinds of creative processes. It enables a comprehensive examination of a creative process, simultaneously justifying the dynamic nature of the process.

Swarm intelligence-based solver for parameter estimation of laboratory through-diffusion transport of contaminants

Theoretical approaches are of fundamental importance to predict the potential impact of waste disposal facilities on ground water contamination. Appropriate design parameters are generally estimated be fitting theoretical models to data gathered from field monitoring or laboratory experiments. Transient through-diffusion tests are generally conducted in the laboratory to estimate the mass transport parameters of the proposed barrier material. Thes parameters are usually estimated either by approximate eye-fitting calibration or by combining the solution of the direct problem with any available gradient-based techniques. In this work, an automated, gradient-free solver is developed to estimate the mass transport parameters of a transient through-diffusion model. The proposed inverse model uses a particle swarm optimization (PSO) algorithm that is based on the social behavior of animals searching for food sources. The finite difference numerical solution of the forward model is integrated with the PSO algorithm to solve the inverse problem of parameter estimation. The working principle of the new solver is demonstrated and mass transport parameters are estimated from laboratory through-diffusion experimental data. An inverse model based on the standard gradient-based technique is formulated to compare with the proposed solver. A detailed comparative study is carried out between conventional methods and the proposed solver. The present automated technique is found to be very efficient and robust. The mass transport parameters are obtained with great precision.

Theory of the mixed valent state

After briefly discussing the question of a distinct mixed valent state and theoretical models for it, the area of greatest theoretical success, namely the mixed valent impurity, is reviewed. Applications to spectroscopy, energetics and Hall effect are then putlined. The independent impurity approximation is inadequate for many properties of the bulk system, which depend on lattice coherence. A recent auxiliary or slave boson approach with a simple mean field limit and fluctuation corrections is summarized. Finally the mixed valent semiconductor is discussed as an outstanding problem.

Photoacoustic investigation of phase transitions in solids

The use of the photoacoustic effect in the investigation of first- and second-order phase transitions has been examined. Changes in the amplitude of the photoacoustic signal across the phase transition are compared with changes in thermal properties such as specific heat and thermal diffusivity. The systemsstudied include NaN02, TlN03, CsN03, NH4N03, BaTiO,, COO, Cu,HgI,, V02 andV305. The current photoacoustic studies are discussed in the light of the theoretical models available.

Magnetic superconductors: Model theories and experimental properties of rare-earth compounds

Superconducting and magnetically long-range ordered states were believed to be mutually exclusive phenomena. The discovery of rare-earth compounds in recent years, which exhibit both superconductivity and magnetic ordering (ferromagnetic, antiferromagnetic or sinusoidal), has led to considerable theoretical and experimental work on such systems. In the present article, we give a review of various theoretical models and important experimental results. In the theoretical sections, we start with the Abrikosov-Gorkov pair breaking theory for dilute alloys and discuss its improvement in the work of Müller-Hartmann and Zittartz. Then, in the context of magnetic superconductors, various microscopic theories that have been advanced are presented. These predict re-entrant behaviour in some systems (ferromagnetic superconductors) and coexistence regions in others (particularly antiferromagnetic superconductors). Following this, phenomenological generalized Ginzburg-Landau theories for two kinds of orders (superconducting and magnetic) are presented. A section dealing with renormalization group analysis of phase diagrams in magnetic superconductors is given. In experimental sections, the properties of each rare-earth compounds (ternary as well as some tetranery) are reviewed. These involve susceptibility, heat capacity, resistivity, upper critical field, neutron scattering and magnetic resonance measurements. The anomalous behaviour of the upper critical field of antiferromagnetic superconductors near the Néel temperature is discussed both in theory sections and experimental section for various systems.

Prediction of frequency and amplitude of foundations at resonance

This note presents the statistical analysis carried out on some of the available experimental results to predict the resonant frequency and maximum displacement amplitude of a machine foundation – soil system under vertical vibration as a function of the size and weight of the foundation and of the excitation level. A total of 442 experimental results of Fry, Novak, and Raman have been analysed using nonlinear regression analysis. The results obtained compared well with predictions obtained from the popular theoretical models, and the coefficient of correlation obtained from the analysis was satisfactory in most of the cases.

Mediation of improvements in sun protective and skin self-examination behaviours: Results from the healthy text study

Objective Melanoma is on the rise, especially in Caucasian populations exposed to high ultraviolet radiation such as in Australia. This paper examined the psychological components facilitating change in skin cancer prevention or early detection behaviours following a text message intervention. Methods The Queensland-based participants were 18 to 42 years old, from the Healthy Text study (N = 546). Overall, 512 (94%) participants completed the 12-month follow-up questionnaires. Following the social cognitive model, potential mediators of skin self-examination (SSE) and sun protection behaviour change were examined using stepwise logistic regression models. Results At 12-month follow-up, odds of performing an SSE in the past 12 months were mediated by baseline confidence in finding time to check skin (an outcome expectation), with a change in odds ratio of 11.9% in the SSE group versus the control group when including the mediator. Odds of greater than average sun protective habits index at 12-month follow-up were mediated by (a) an attempt to get a suntan at baseline (an outcome expectation) and (b) baseline sun protective habits index, with a change in odds ratio of 10.0% and 11.8%, respectively in the SSE group versus the control group. Conclusions Few of the suspected mediation pathways were confirmed with the exception of outcome expectations and past behaviours. Future intervention programmes could use alternative theoretical models to elucidate how improvements in health behaviours can optimally be facilitated.

Improving food supply

Improving the availability, accessibility and affordability of healthy food equitably is fundamental to improving nutrition and health. While theoretical models abound, in real world complex systems rarely are there opportunities to address leverage points systematically to improve food supply. This presentation describes efforts over the last 30 years to do just that by remote Australian Aboriginal communities, where a single community store is usually the major dietary source. Areas addressed include store governance and infrastructure, wholesale supply, transport and pricing policies including cross-subsidization. However, while there have been dramatic improvements in the availability, quality and price of fruit, vegetables and most other healthy foods over this time, the proportion of communities' energy intake from energy-dense nutrient-poor foods and drinks has increased. One cause may be the disproportionate increase in supply of unhealthy choices in terms of variety and shelf-space, consistent with changes in the food supply in broader Australia. The impact of changing social and environmental factors, food preferences and price elasticity will also be explored briefly. Clearly much more needs to be done to reduce the high prevalence of diet-related chronic disease in some vulnerable groups. In particular, efforts to continually improve the availability and affordability of healthy food also need to address the predominance of unhealthy choices in the food supply.

Essays on Economic Integration and Labour Demand

This dissertation consists of an introductory section and three essays investigating the effects of economic integration on labour demand by using theoretical models and by empirical analysis. The essays adopt an intra-industry trade approach to specify a theoretical framework of estimation for determining the effects of economic integration on employment. In all the essays the empirical aim is to explore the labour demand consequences of European integration. The first essay analyzes how labour-demand elasticities with own price have changed during the process of economic integration. As a theoretical result, intensified trade competition increases labour-demand elasticity, whereas better advantage of economies of scale decreases labour-demand elasticity by decreasing the elasticity of substitution between differentiated products. Furthermore, if integration gives rise to an increase in input-substitutability and/or outsourcing activities, labour demand will become more elastic. Using data from the manufacturing sector from 1975 to 2002, the empirical results provide support for the hypothesis that European integration has contributed to increased elasticities of total labour demand in Finland. The second essay analyzes how economic integration affects the impact of welfare poli-cies on employment. The essay considers the viability of financing the public sector, i.e. public consumption and social security expenses, by general labour taxation in an economy which has become more integrated into international product markets. The theoretical results of the second essay indicate that, as increased trade competition crowds out better economies of scale, it becomes more costly to maintain welfare systems financed by labour taxation. Using data from European countries for the years 1975 to 2004, the empirical results provide inconsistent evidence for the hypothesis that economic integration has contributed to the distortion effects of welfare policies on employment. The third essay analyzes the impact of profit sharing on employment as a way to introduce wage flexibility into the process of economic integration. The results of the essay suggest that, in theory, the effects of economic integration on the impact of profit sharing on employment clearly depend on a trade-off between intensified competition and better advantage of economies of scale. If product market competition increases, the ability of profit sharing to improve employment through economic integration increases with moderated wages. While, the economic integration associating with market power in turn decrease the possibilities of profit sharing with higher wages to improve employment. Using data from the manufacturing sector for the years 1996 to 2004, the empirical results show that profit-sharing has a positive impact on employment during the process of European integration, but can have ambiguous effects on the stability of employment in Finland.

Creative writing: Literature review and evidence-based research

There is growing evidence, especially in the USA and UK, that creative writing can form an important part of the recovery experience of people affected by severe mental illness. In this chapter, I consider theoretical models that explain how creative writing might contribute to recovery, and discuss the potential for creative writing in psychosocial rehabilitation. It is argued that the rehabilitation benefits of creative writing might be optimized through focus on process and technique in writing, rather than expression or content alone, and that consequently, the involvement of professional writers might be important. I will explore the recent history of theoretical frameworks and explanatory models that link creative writing and recovery, and examine such empirical evidence as is available on the contribution of creative writing to recovery from severe mental illness.

Creative writing: A practice-based account of designing and facilitating life-writing workshops for a group With severe mental illness

This chapter is based on the experience and findings of a pilot project developed to investigate the feasibility of providing a writing workshop for people participating in psychosocial rehabilitation programmes provided by a non-government agency in Brisbane, Queensland, Australia. It was a qualitative study, making use of observational data, interviews with participants, and informal reports. We did not seek to test theoretical models concerning the link between creative writing and recovery through the pilot project, but rather to evaluate the immediate impact of a writing workshop conducted in the manner outlined in the preceding chapter by Philip Neilsen (chapter 7).