Numerical methods for strong solutions of stochastic differential equations: an overview

This paper gives a review of recent progress in the design of numerical methods for computing the trajectories (sample paths) of solutions to stochastic differential equations. We give a brief survey of the area focusing on a number of application areas where approximations to strong solutions are important, with a particular focus on computational biology applications, and give the necessary analytical tools for understanding some of the important concepts associated with stochastic processes. We present the stochastic Taylor series expansion as the fundamental mechanism for constructing effective numerical methods, give general results that relate local and global order of convergence and mention the Magnus expansion as a mechanism for designing methods that preserve the underlying structure of the problem. We also present various classes of explicit and implicit methods for strong solutions, based on the underlying structure of the problem. Finally, we discuss implementation issues relating to maintaining the Brownian path, efficient simulation of stochastic integrals and variable-step-size implementations based on various types of control.

Globalisation, security and international order after 11 September

This article advances the discussion of the contentious question of links between global inequalities of power and violent responses, focussing on globalisation and non-inclusive forms of governance. Drawing on international political economy, the article criticises the nationstate-centrism in much political discourse, suggesting that both authority and security need to be reconsidered - to account for less plausible national borders and controls. It suggests that human security (including issues of development and equality) ought to replace national security as the primary focus of public policy. It draws attention to the intractability of difference, insisting that the terrorism of 2001 has complex transnational antecedents. Realist approaches to international order have become part of a problem to be overcome through further intellectual debate.

Towards definition of the global biotechnology value chain using cases from Australian biotechnology SMEs

The generic pharmaceutical value chain model has been employed to describe both the global pharmaceutical and biotechnology industries till now. This research investigates the organisational value chain in Australian biotechnology companies in order to assess the appropriateness of the pharmaceutical value chain to small-and medium-sized biotechnology companies. The main theme of the research is: Can a generic model of the organisational value chain be defined for the biotechnology industry? Emanating from the literature, two research propositions were developed. RP1: there are eight major definable elements/activities of the organisational value chain for the biotechnology industry. RP2: Coverage of the elements in the biotechnology value chain ranges from focused to broad. A multiple case study methodology was used to explore these propositions. To develop a number of case studies, data was collected from senior managers of small and medium Australian biotechnology companies using an interview instrument, as well as from publicly available documentation and through observation. The results were analysed using cross-case comparisons. The results showed that an aggregation of the value chains of each organisation can be reduced to these eight definable elements that constitute the biotechnology value chain: basic research, applied research, development, verification and validation, prototype development, clinical trials, manufacturing and marketing. However, the findings also indicate that these major elements of the value chain need to be further reduced into sub-activities or sub-tasks to cater for the unique differences between biotechnology companies. Generally, the findings were consistent with the literature. However, a wider sampling, including international biotechnology organisations should be studied. The major contribution of this research is in the development of a value chain model, including general sub-tasks, for the Australian biotechnology industry.

Localizing a global discipline - Designing new planning programs in Sri Lanka

In order to be relevant and useful in a fragmented developing country context, community and regional planning needs to shift away from the use of rigid tools to more flexible, adaptive approaches. An international review of planning curricula indicated a widespread consensus with respect to key competencies required of planners. This understanding was used in the development of new teaching programs at three Sri Lankan universities. Complementing the technical core knowledge areas, strong emphases on problem structuring, critical and strategic thinking, and the understanding of the political and institutional contexts appear to be crucial to making the agenda of planning for sustainable development more than a fashionable cliche. In order for these core areas to have relevance in a developing country context, however, planning curricula need to achieve a balance between local priorities and a global perspective.

The Society of States under siege? An English School perspective on the emergence of global civil society

In this article I critically examine the theoretical and empirical relationship between world society, whereby global civil society is taken to be its physical or empirical counterpart, and the society of states. This relationship is typically portrayed as contradictory or confrontational, and I contend that this mainstream perspective is reliant on a superficial analysis of the relationship. If one examines the deeper dynamics, viewed in their contemporary international normative context, then one can identify the more constructive and permissive aspects of the relationship. Rather than being wholly incompatible I argue that world society and international society are mutually constitutive and mutually dependent regimes, whose relationship is more often marked by cooperation than by conflict. English School theory provides the conceptual framework for this analysis. The relationship between international and world society presents a core ontological tension within this theory, and again they tend to occupy polarised positions. A synthesis of four international theories - pluralist international society theory, solidarist international society theory, critical international theory, and the discourse of global civil society - informs the hypothesis that the relationship can be normatively and empirically reconciled. In order to empirically support this explanation I analyse two phenomena in world politics - transnational advocacy networks and humanitarian intervention - where there is an apparent tension between international and world society.

Referral patterns in a global store-and-forward telemedicine system

We examined the nature of the referral patterns in the email telemedicine network operated by the Swinfen Charitable Trust with a view to informing long-term resource planning. Over the first six years of operation, 62 hospitals from 19 countries registered with the Trust in order to be able to refer cases for specialist advice; 55 of these hospitals (89%) actually referred cases during this period. During the first six years of operation, nearly 1000 referrals were submitted and answered, from a wide range of specialty areas. Between July 2002 and March 2005 the referral rate rose from 127 to 318 cases per year. The median length of time required to provide a specialist's response was 2.3 days during the first 12 months and 1.8 days during the last 12 months. Five hospitals submitted cases for more than four years (together sending a total of 493 cases). Their activity data showed a trend to declining referral rates over the four-year period, which may represent successful knowledge transfer. There is some evidence that over the last three years the growth in demand has been exponential, while the growth in resources available (i.e. specialists) has been linear, a situation which cannot continue for very long before demand outstrips supply.

Late pleistocene to holocene composite speleothem O-18 and C-13 chronologies from south island, new Zealand-did a global younger dryas really exist?

Oxygen and carbon data from eight stalagmites from northwest South Island are combined to produce composite records of delta(18)O and delta(13)C from 23.4 ka to the present. The chronology is anchored by 43 thermal ionization mass spectrometry (TIMS) uranium series ages. Delta O-18 values are interpreted as having a first order positive relationship to temperature, but also to be influenced by precipitation in a complex manner. Delta C-13 is interpreted as responding negatively to increases in atmospheric CO, concentration, biological activity and precipitation amount. Six climatic phases are recognized. After adjustment of 1.2parts per thousand for the ice volume effect, the delta(18)O record between 23 and 18 ka varies around -3.72parts per thousand compared to the Holocene average of -3.17parts per thousand. Late-glacial warming commenced between 18.2 and 17.8 ka and accelerated after 16.7 ka, culminating in a positive excursion between 14.70 and 13.53 ka. This was followed by a significant negative excursion between 13.53 and 11.14 ka of up to 0.55parts per thousand depth that overlapped the Antarctic Cold Reversal (ACR) and spanned the Younger Dryas (YD). Positive delta(18)O excursions at 11.14 ka and 6.91-6.47 ka represent the warmest parts of the Holocene. The mid-Holocene from 6 to 2 ka was marked by negative excursions that coincide with increased glacial activity in the South Island. A short positive excursion from 0.71 to 0.57 ka was slightly later than the Medieval Warm Period of Europe. Delta C-13 values were high until 17.79 ka after which there was an abrupt decrease to 17.19 ka followed by a steady decline to a minimum at 10.97 ka. Then followed a general increase, suggesting a drying trend, to 3.23 ka followed by a further general decline. The abrupt decrease in delta-values after 17.79 ka probably corresponds to an increase in atmospheric CO2 concentration, biological activity and wetness at the end of the Last Glaciation, but the reversal identified in the delta(18)O record from 13.53 to 11.14 ka was not reflected in delta(13)C changes. The lowest delta(13)C values coincided with the early Holocene climatic suboptimum when conditions were relatively wet as well as mild. Major trends in the delta(18)O(c) record are similar to the Northern Hemisphere, but second order detail is often distinctly different. Consequently, at the millennial scale, a more convincing case can be made for asymmetric climatic response between the two hemispheres rather than synchronicity. (C) 2004 Elsevier B.V. All rights reserved.

Measuring the global burden of disease and epidemiological transitions: 2002-2030

Any planning process for health development ought to be based on a thorough understanding of the health needs of the population. This should be sufficiently comprehensive to include the causes of premature death and of disability, as well as the major risk factors that underlie disease and injury. To be truly useful to inform health-policy debates, such an assessment is needed across a large number of diseases, injuries and risk factors, in order to guide prioritization. The results of the original Global Burden of Disease Study and, particularly, those of its 2000-2002 update provide a conceptual and methodological framework to quantify and compare the health of populations using a summary measure of both mortality and disability: the disability-adjusted life-year (DALY). Globally, it appears that about 5 6 million deaths occur each year, 10. 5 million (almost all in poor countries) in children. Of the child deaths, about one-fifth result from perinatal causes such as birth asphyxia and birth trauma, and only slightly less from lower respiratory infections. Annually, diarrhoeal diseases kill over 1.5 million children, and malaria, measles and HIV/AIDS each claim between 500,000 and 800,000 children. HIV/AIDS is the fourth leading cause of death world-wide (2.9 million deaths) and the leading cause in Africa. The top three causes of death globally are ischaemic heart disease (7.2 million deaths), stroke (5.5 million) and lower respiratory diseases (3.9 million). Chronic obstructive lung diseases (COPD) cause almost as many deaths as HIV/AIDS (2.7 million). The leading causes of DALY, on the other hand, include causes that are common at young ages [perinatal conditions (7. 1 % of global DALY), lower respiratory infections (6.7%), and diarrhoeal diseases (4.7%)] as well as depression (4.1%). Ischaemic heart disease and stroke rank sixth and seventh, retrospectively, as causes of global disease burden, followed by road traffic accidents, malaria and tuberculosis. Projections to 2030 indicate that, although these major vascular diseases will remain leading causes of global disease burden, with HIV/AIDS the leading cause, diarrhoeal diseases and lower respiratory infections will be outranked by COPD, in part reflecting the projected increases in death and disability from tobacco use.

Global engineering education: Australia and the Bologna process

This paper presents a critical comparison of major changes in engineering education in both Australia and Europe. European engineering programs are currently being reshaped by the Bologna process, representing a move towards quality assurance in higher education and the mutual recognition of degrees among universities across Europe. Engineering education in Australia underwent a transformation after the 1996 review of engineering education1. The paper discusses the recent European developments in order to give up-to-date information on this fast changing and sometimes obscure process. The comparison draws on the implications of the Bologna Process on the German engineering education system as an example. It concludes with issues of particular interest, which can help to inform the international discussion on how to meet today’s challenges for engineering education. These issues include ways of achieving diversityamong engineering programs, means of enabling student and staff mobility, and the preparation of engineering students for professional practic e through engineering education. As a result, the benefits of outcomes based approaches in education are discussed. This leads to an outlook for further research into the broader attributes required by future professional engineers. © 2005, Australasian Association for Engineering Education