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
Decision-making in social insects and nature-inspired optimisation algorithms. Insect societies are ideal for the study of complex systems. Contrary to other complex systems, insect colonies can be modified without destroying the system. Computer scientists have found a source of inspiration in the behaviour of social insects for solving optimisation problems. Here we will study the influence of information flow on decision-making in real insect societies using:
1) Experiments aimed at investig ....Decision-making in social insects and nature-inspired optimisation algorithms. Insect societies are ideal for the study of complex systems. Contrary to other complex systems, insect colonies can be modified without destroying the system. Computer scientists have found a source of inspiration in the behaviour of social insects for solving optimisation problems. Here we will study the influence of information flow on decision-making in real insect societies using:
1) Experiments aimed at investigating how storage and transfer of information affects individual decision-making within a honey bee colony (University of Sydney)
2) Design of a new class of 'bee' algorithms that incorporate direct information transfer and are aimed at solving dynamic multicriterion optimisation problems (University of Leipzig).
Read moreRead less
COMPLEX NETWORKS: DYNAMICS, OPTIMIZATION AND CONTROL. Complex networks such large power grids, the Internet, transportation networks and co-operation networks of all kinds provide challenges for frontier technologies particularly computing, communication and control. In particular, advanced societies have become dependent on large infrastructure networks to an extent beyond our capability to plan and control them. The recent spate of collapses in power grids and virus attacks on the Internet i ....COMPLEX NETWORKS: DYNAMICS, OPTIMIZATION AND CONTROL. Complex networks such large power grids, the Internet, transportation networks and co-operation networks of all kinds provide challenges for frontier technologies particularly computing, communication and control. In particular, advanced societies have become dependent on large infrastructure networks to an extent beyond our capability to plan and control them. The recent spate of collapses in power grids and virus attacks on the Internet illustrate the need for research on modelling, analysis of behaviour, planning and control in such networks. This project aims to establish research in this area for Australia's benefit.Read moreRead less
Dynamics and Security Control of Complex Networks. The research will yield basic techniques to analyse, design and operate complex networks so that security, as well as performance, is achieved. These techniques will be further developed towards particular applications including power grids and telecommunication networks. However, the emphasis is on providing basic ideas and techniques.
Linear programming approach to nonlinear deterministic and stochastic control problems: perturbations methods and numerical analysis. The proposed research will significantly advance knowledge by creating new analytical and numerical methods for tackling complex nonlinear control problems arising in many applications. The study's outputs will lead to a deeper understanding of fundamental issues in mathematical modelling. Collaboration with renowned researchers will further improve Australia's st ....Linear programming approach to nonlinear deterministic and stochastic control problems: perturbations methods and numerical analysis. The proposed research will significantly advance knowledge by creating new analytical and numerical methods for tackling complex nonlinear control problems arising in many applications. The study's outputs will lead to a deeper understanding of fundamental issues in mathematical modelling. Collaboration with renowned researchers will further improve Australia's standing in the international research community. Also their visits may further promote research both within and outside the host institution. In particular, lectures and seminars that they will deliver will be transmitted to Australian universities participating in the Access Grid Room Project.Read moreRead less
A coordinate-independent theory for multi-time-scale dynamical systems. Biochemical reaction networks operate inherently on many disparate timescales, and identifying this temporal hierarchy is key to understanding biological behaviour. Currently, the existing dynamical systems theory is not able to rigorously analyse many important biological systems and networks due to this inherent non-standard multi-time-scale splitting. This project aims to remove these stumbling blocks and develop a coordi ....A coordinate-independent theory for multi-time-scale dynamical systems. Biochemical reaction networks operate inherently on many disparate timescales, and identifying this temporal hierarchy is key to understanding biological behaviour. Currently, the existing dynamical systems theory is not able to rigorously analyse many important biological systems and networks due to this inherent non-standard multi-time-scale splitting. This project aims to remove these stumbling blocks and develop a coordinate-independent mathematical theory that weaves together results from geometric singular perturbation theory, differential and algebraic geometry and reaction network theory to decompose and explain the structure in the dynamic hierarchy of events in non-standard multi-time-scale systems and networks.Read moreRead less
Sequence to Sequence: Rigorous Statistical and Mathematical Analysis of Biological Sequence Data. Comparative genomics is fundamental for developing an understanding of genes and their function. For example, using statistical and computational techniques, it was recently demonstrated that 60% of genes are conserved between fly and human. When the human gene that confers susceptibility to Parkinson's disease was transferred into the fly it caused symptoms similar to those seen in humans. The futu ....Sequence to Sequence: Rigorous Statistical and Mathematical Analysis of Biological Sequence Data. Comparative genomics is fundamental for developing an understanding of genes and their function. For example, using statistical and computational techniques, it was recently demonstrated that 60% of genes are conserved between fly and human. When the human gene that confers susceptibility to Parkinson's disease was transferred into the fly it caused symptoms similar to those seen in humans. The future development of 'personalized medicine' will rely upon understanding the function of human genes, as will progress in the agricultural sector. Rigorous statistical analysis and development of appropriate bioinformatic methods are crucial to biological sequence analysis in comparative genomics.Read moreRead less
Multiscale modelling: Applications to the Biomedical Sciences. 1) Significant reductions in the costs of developing pharmaceutical treatments, 2) Substantial reduction in hospitalisation costs, 3) Improved treatment of wounds, a significant cause of chronic ill-health which presently costs the Australian HealthCare System A$500,000,000/year.
A Mathematical Approach to Flexible Management of Open Pit Mines with Uncertain Geology and Unpredictable Demand. This project will create new mathematical algorithms to flexibly manage open pit mining projects. The development of strategic plans for mining operations is a highly complex task, based on incomplete geological information and uncertain future commodity demand. The smart mathematics we create will allow Australia to capitalise on upturns in international demand, while limiting unavo ....A Mathematical Approach to Flexible Management of Open Pit Mines with Uncertain Geology and Unpredictable Demand. This project will create new mathematical algorithms to flexibly manage open pit mining projects. The development of strategic plans for mining operations is a highly complex task, based on incomplete geological information and uncertain future commodity demand. The smart mathematics we create will allow Australia to capitalise on upturns in international demand, while limiting unavoidable negative outcomes, by flexibly adjusting the mining operation to prevailing geological and economic conditions. Australia's mineral exports are worth over $50b annually to the Australian economy. Our techniques will better manage Australia's mining projects and capture new, emerging markets, significantly impacting on Australia's balance of trade.Read moreRead less
Plantwide Control of Modern Chemical Processes from a Network Perspective. Complex plants increasingly appear in modern Australian process industries, particularly in mineral processing, petrochemical and renewable energies sectors. These plants represent vast capital costs and manufacture products at a very large scale. Improvement in control and operation of these processes can potentially provide significant economic benefits. The expected outcome of this research is an effective approach to ....Plantwide Control of Modern Chemical Processes from a Network Perspective. Complex plants increasingly appear in modern Australian process industries, particularly in mineral processing, petrochemical and renewable energies sectors. These plants represent vast capital costs and manufacture products at a very large scale. Improvement in control and operation of these processes can potentially provide significant economic benefits. The expected outcome of this research is an effective approach to improve operational safety, efficiency, product quality and manufacturing flexibility, helping to build a more efficient and environmental conscious Australian chemical industry. This project will also enhance Australia's scientific reputation in the frontier research area of advanced process control and management.Read moreRead less