Mathematical Methods for Next Generation Sequencing. The emergence of a new generation of high throughput genomic sequencing technologies is providing unprecedented opportunities for biological research. Hidden within the huge amounts of data generated by this technology is information about the expression and regulation of genes, and the complex functional purpose of non-coding, so called 'junk', DNA. Development of mathematical and statistical tools is essential to interpreting these data. The ....Mathematical Methods for Next Generation Sequencing. The emergence of a new generation of high throughput genomic sequencing technologies is providing unprecedented opportunities for biological research. Hidden within the huge amounts of data generated by this technology is information about the expression and regulation of genes, and the complex functional purpose of non-coding, so called 'junk', DNA. Development of mathematical and statistical tools is essential to interpreting these data. The proposed research will enhance Australia's reputation for developing novel quantitative techniques at the cutting edge of modern biology. The proposed project has a broad range of potential applications in biotechnology, particularly in the medical and agricultural industries.Read moreRead less
Investment Approaches and Applications in Financial Markets: Evolutionary Kernel Based Subset Time-Series Using Semi-Parametric Approaches. The project will develop new investment assessments based on subset time-series modeling. Innovative evolutionary kernel smoothing algorithms using semi-parametric approaches will be introduced. The project will make three important applications of this modeling in financial markets: a) benchmarking and evaluation of inflation-indexed bonds; b) evaluation of ....Investment Approaches and Applications in Financial Markets: Evolutionary Kernel Based Subset Time-Series Using Semi-Parametric Approaches. The project will develop new investment assessments based on subset time-series modeling. Innovative evolutionary kernel smoothing algorithms using semi-parametric approaches will be introduced. The project will make three important applications of this modeling in financial markets: a) benchmarking and evaluation of inflation-indexed bonds; b) evaluation of the performance of global diversified investment funds; and c) prediction to provide early warning of the emergence of destabilising deflation or inflation. These three applications will lead to improved risk management practices and investment performance. Recursive algorithms will provide new statistical methods to study investment asset price movements and market volatility.
Read moreRead less
Yield strength and plastic flow of heterogeneous materials: Designing optimal composites and porous materials. A major goal of materials science is to design materials with improved functionality at lower weight, cost and size. It is important to guide this expensive and time-consuming process with sophisticated computer modelling. In this project we aim to model how and why composite and porous materials fail when they are placed under stress. Our results will make materials design more efficie ....Yield strength and plastic flow of heterogeneous materials: Designing optimal composites and porous materials. A major goal of materials science is to design materials with improved functionality at lower weight, cost and size. It is important to guide this expensive and time-consuming process with sophisticated computer modelling. In this project we aim to model how and why composite and porous materials fail when they are placed under stress. Our results will make materials design more efficient by providing a valuable experimental interpretive tool and a theoretical map for material optimization. Our models will also provide crucial information needed for modelling the behavior of composites in applications.Read moreRead less
Special Research Initiatives - Grant ID: SR0354727
Funder
Australian Research Council
Funding Amount
$20,000.00
Summary
Mathematics for Government, Industry and Community -- The *Magic* Network. The *Magic* network will promote the use of mathematics by government, industry and community to analyse real problems and implement practical solutions. It will connect the most promising young Australian mathematicians to experienced researchers with strong research teams linked directly to the broader community. Our program will demand research excellence, emphasise a sustainable society, support outstanding young mat ....Mathematics for Government, Industry and Community -- The *Magic* Network. The *Magic* network will promote the use of mathematics by government, industry and community to analyse real problems and implement practical solutions. It will connect the most promising young Australian mathematicians to experienced researchers with strong research teams linked directly to the broader community. Our program will demand research excellence, emphasise a sustainable society, support outstanding young mathematicians and create opportunities for promising postgraduate students. We will offer scholarships for professional development and fund research visits and exchanges. *Magic* will provide tangible incentives for young Australian mathematicians and a new generation of researchers and research leaders.Read moreRead less
An Advanced Numerical Technique for Stability Analysis of Mining Excavations in Jointed/Faulted Rock Masses under High Stresses. The aim of this project is to develop a sophisticated mathematical model and computational technique for the stability analysis of mining excavations in jointed/faulted rock masses. The development involves a novel solution method based on current work in finite element method, boundary element method and large-scale optimisation with partial differential equation cons ....An Advanced Numerical Technique for Stability Analysis of Mining Excavations in Jointed/Faulted Rock Masses under High Stresses. The aim of this project is to develop a sophisticated mathematical model and computational technique for the stability analysis of mining excavations in jointed/faulted rock masses. The development involves a novel solution method based on current work in finite element method, boundary element method and large-scale optimisation with partial differential equation constraints. The work is extremely important to the mining industry in Australia, as the outcomes of the project will provide engineers with an innovative simulation technique to optimise mine design and to predict and control rock failure so as to reduce personnel injuries and death toll in mine sites.Read moreRead less
The geometry of impossible, or contradictory objects and its applications to computing and cognition. The principal aim is pure research, the increase of knowledge within the Theory of Inconsistency and particularly its mathematical aspects, to be available to the national and world community. Additionally, a new stock of hitherto-unseen images (still, moving and three-dimensional) will be constructed in a virtual reality environment. In addition to enhancing Australia's strong reputation in log ....The geometry of impossible, or contradictory objects and its applications to computing and cognition. The principal aim is pure research, the increase of knowledge within the Theory of Inconsistency and particularly its mathematical aspects, to be available to the national and world community. Additionally, a new stock of hitherto-unseen images (still, moving and three-dimensional) will be constructed in a virtual reality environment. In addition to enhancing Australia's strong reputation in logic, there are spin-offs for mathematics, cognitive science, computer studies, and the arts and entertainment industries.Read moreRead less
The improvement of climate change investigations by developing and applying innovative evolutionary subset time series modelling using semi-parametric sparse-patterned approaches. With an estimated US$6.98 trillion loss indicated in the Stern review, severe climate change will make world climate conditions harsher and more likely include large natural climate disasters. The health of the Australian economy is critically dependent on decisions of environmental managers. However, most problems of ....The improvement of climate change investigations by developing and applying innovative evolutionary subset time series modelling using semi-parametric sparse-patterned approaches. With an estimated US$6.98 trillion loss indicated in the Stern review, severe climate change will make world climate conditions harsher and more likely include large natural climate disasters. The health of the Australian economy is critically dependent on decisions of environmental managers. However, most problems of complexity arising in climate change involve issues on which we do not possess a deep understanding. This project draws upon a set of inter-disciplinary concepts and models centred in neural networks that enable us to advance our understanding of complexity, leading to superior quantitative tools and models to allow for improved environmental decision-making.
Read moreRead less
Robust fluid mixing through topological chaos. The Australian chemicals and plastics industry has an annual turnover of over $20 billion and employs over 77,000 people; fluid mixing is fundamental to this industry, yet the industry is recognised as underinvesting in research and development in this essential area. Furthermore, frontier technologies such as biotechnology and the next generation of smart materials also crucially rely on fluid mixing. This project aims to evaluate a new paradigm ( ....Robust fluid mixing through topological chaos. The Australian chemicals and plastics industry has an annual turnover of over $20 billion and employs over 77,000 people; fluid mixing is fundamental to this industry, yet the industry is recognised as underinvesting in research and development in this essential area. Furthermore, frontier technologies such as biotechnology and the next generation of smart materials also crucially rely on fluid mixing. This project aims to evaluate a new paradigm (topological chaos) for the design of mixers, to provide better and more robust mixers that work from microscopic to industrial scales.Read moreRead less
Analysing Instabilities in Complex Combustion Models for Different Geometrical Configurations. Anyone who has gazed into a fire will appreciate the complexity of combustion. To date only the simplest of models have been comprehensively analysed. This project, which aims to analyse more complex combustion models, will address some of the fundamental issues of combustion theory. Results from this project will lead to a better understanding of combustion processes, with the potential to prevent exp ....Analysing Instabilities in Complex Combustion Models for Different Geometrical Configurations. Anyone who has gazed into a fire will appreciate the complexity of combustion. To date only the simplest of models have been comprehensively analysed. This project, which aims to analyse more complex combustion models, will address some of the fundamental issues of combustion theory. Results from this project will lead to a better understanding of combustion processes, with the potential to prevent explosions in reactors and storage tanks. Other potential applications range from bushfires to the manufacture of exotic materials. Furthermore, the novel mathematical techniques developed in this project can be easily adapted to other types of systems such as those used in biology (eg. epidemiology and tumour growth), economics, physics etc. Read moreRead less
Optimal Control Computation and Analysis of Switched Systems with State and Control Constraints. DC/DC converters are widely used in power supply systems and hybrid power systems generate cleaner energy. Achieving optimum performance in these applications has high commercial and environmental impacts. New optimal control problems for such practical problems will be formulated and new unified optimization theory and methods for these optimal control problems will be obtained. The outcomes will en ....Optimal Control Computation and Analysis of Switched Systems with State and Control Constraints. DC/DC converters are widely used in power supply systems and hybrid power systems generate cleaner energy. Achieving optimum performance in these applications has high commercial and environmental impacts. New optimal control problems for such practical problems will be formulated and new unified optimization theory and methods for these optimal control problems will be obtained. The outcomes will enhance Australia's reputation in this cutting edge research, and contribute to achieving optimal performance of high commercial and environmental value applications. It will also facilitate international collaboration, and provide an excellent opportunity for research training.Read moreRead less