Modelling and estimation techniques for the transmission and control of Tuberculosis with new and existing vaccines. Most Tuberculosis in Australia is seen in foreign-born people. Australia has an important role in providing leadership in the Asia-Pacific region in Tuberculosis control, which will have flow-on benefits to TB control in this country. Using mathematical models, this project will assess the use of vaccines for Tuberculosis in the developing world. Rising levels of extremely drug r ....Modelling and estimation techniques for the transmission and control of Tuberculosis with new and existing vaccines. Most Tuberculosis in Australia is seen in foreign-born people. Australia has an important role in providing leadership in the Asia-Pacific region in Tuberculosis control, which will have flow-on benefits to TB control in this country. Using mathematical models, this project will assess the use of vaccines for Tuberculosis in the developing world. Rising levels of extremely drug resistant infections make this a timely and important study with significant policy implications, both externally and in the Australian context. Read moreRead less
Individualisation for 3D Audio. The project aim is to allow the general listener to enjoy high-fidelity 3-D sound over headphones. Such 3-D audio is of paramount importance when inter-personal communication requires situational awareness, (eg search and rescue, fire-fighting, and air traffic control). To achieve this, the project aims to address one of the toughest problems in audio signal processing: deriving high-fidelity 3-D audio headphone filters from photos and/or 3D scans of ears. The pro ....Individualisation for 3D Audio. The project aim is to allow the general listener to enjoy high-fidelity 3-D sound over headphones. Such 3-D audio is of paramount importance when inter-personal communication requires situational awareness, (eg search and rescue, fire-fighting, and air traffic control). To achieve this, the project aims to address one of the toughest problems in audio signal processing: deriving high-fidelity 3-D audio headphone filters from photos and/or 3D scans of ears. The project plans to address fundamental research questions in statistical shape and data analysis and to perceptually evaluate the 3-D audio methods developed.Read moreRead less
Nonlinear Dynamics of Pulse Coupled Oscillators. A mathematical model of the heart pacemaker system will be created, based on simple interacting units. These units have been shown to be good models of physiological information e.g. the discrimination of different influences on heart rate. We will firstly look at the interaction of the units in simple combinations and then tune the model to mimic the behaviour of the cardiac pacemaker.
Potential benefits may arise from elucidating the mechanis ....Nonlinear Dynamics of Pulse Coupled Oscillators. A mathematical model of the heart pacemaker system will be created, based on simple interacting units. These units have been shown to be good models of physiological information e.g. the discrimination of different influences on heart rate. We will firstly look at the interaction of the units in simple combinations and then tune the model to mimic the behaviour of the cardiac pacemaker.
Potential benefits may arise from elucidating the mechanisms underlying arrhythmias which contribute to ?sudden cardiac death? in young men, and suggesting strategies for artificial pacemakers to effectively arrest abnormal rhythms before they convert to potentially fatal fibrillation.Read moreRead less
New Approaches to Modelling and Analysing Long-Memory Random Processes. The project aims to develop new approaches using infinite-dimensional Markov processes to solving important long-standing problems from the theory of long memory random processes and their applications. It aims to: construct a class of new representations of random processes; derive inequalities for the key numerical characteristics; and, devise and investigate numerical methods for computing the characteristics and for perf ....New Approaches to Modelling and Analysing Long-Memory Random Processes. The project aims to develop new approaches using infinite-dimensional Markov processes to solving important long-standing problems from the theory of long memory random processes and their applications. It aims to: construct a class of new representations of random processes; derive inequalities for the key numerical characteristics; and, devise and investigate numerical methods for computing the characteristics and for performing statistical inference on the long memory models. The accuracy of numerical approximations will be analysed using simulations on supercomputers. Expected outcomes include models and results of practical importance with applications such as intrusion detection problems, cell motility for biological data and telecommunication.Read moreRead less
Computational methods for population-size-dependent branching processes. Branching processes are the primary mathematical tool used to model populations that evolve randomly in time. Most key results in the theory are derived under the simplifying assumption that individuals reproduce and die independently of each other. However, this assumption fails in most real-life situations, in particular when the environment has limited resources or when the habitat has a restricted capacity. This project ....Computational methods for population-size-dependent branching processes. Branching processes are the primary mathematical tool used to model populations that evolve randomly in time. Most key results in the theory are derived under the simplifying assumption that individuals reproduce and die independently of each other. However, this assumption fails in most real-life situations, in particular when the environment has limited resources or when the habitat has a restricted capacity. This project aims to develop novel and effective algorithmic techniques and statistical methods for a class of branching processes with dependences. We will use these results to study significant problems in the conservation of endangered island bird populations in Oceania, and to help inform their conservation management.Read moreRead less
New universality in stochastic systems. This project aims to uncover new analyses and effects in the complex behaviour of non-linear systems with random noise. Many systems originate near an unstable equilibrium. This project will develop a new mathematical theory that establishes a universality in the way the long term effect of noise expresses itself as random initial conditions in the dynamics. It will fill gaps in Mathematics and make refinements to existing fundamental scientific laws by in ....New universality in stochastic systems. This project aims to uncover new analyses and effects in the complex behaviour of non-linear systems with random noise. Many systems originate near an unstable equilibrium. This project will develop a new mathematical theory that establishes a universality in the way the long term effect of noise expresses itself as random initial conditions in the dynamics. It will fill gaps in Mathematics and make refinements to existing fundamental scientific laws by including random initial conditions as predicted by our theory. This will advance our understanding of complex systems subjected to noise and will provide significant benefits in the scientific discoveries in Biology, Ecology, Physics and other Sciences where such systems are frequently met.Read moreRead less
An efficient approach to the computation of bacterial evolutionary distance. This project aims to apply advanced mathematical tools to improve our understanding of bacterial evolution. Bacteria account for as much total Earth biomass as all plant species put together, and have an unparalleled ability to evolve quickly and adapt to changing environments. Unfortunately, the existing mathematical models used to model bacterial evolution are generally computationally intractable. This project will r ....An efficient approach to the computation of bacterial evolutionary distance. This project aims to apply advanced mathematical tools to improve our understanding of bacterial evolution. Bacteria account for as much total Earth biomass as all plant species put together, and have an unparalleled ability to evolve quickly and adapt to changing environments. Unfortunately, the existing mathematical models used to model bacterial evolution are generally computationally intractable. This project will rectify this situation by using representation theory to transform combinatorial group theory into linear algebra, allowing for the application of advanced methods of numeric approximation. This will provide a better understanding of how bacteria evolve and improve our ability to manage their impact.Read moreRead less
Allocating scarce HIV/AIDS antiretroviral drugs in resource-constrained countries: using modelling to develop tools and analyse consequences of ethics and HIV-epidemiology. This project will benefit communities in some of the poorest countries of the world, suffering greatly from the HIV/AIDS epidemic. This research is important and timely for these nations in deciding how to distribute the limited treatment in an ethical manner to address treatment principles of these countries. However, the me ....Allocating scarce HIV/AIDS antiretroviral drugs in resource-constrained countries: using modelling to develop tools and analyse consequences of ethics and HIV-epidemiology. This project will benefit communities in some of the poorest countries of the world, suffering greatly from the HIV/AIDS epidemic. This research is important and timely for these nations in deciding how to distribute the limited treatment in an ethical manner to address treatment principles of these countries. However, the methods developed can also be applied to other diseases in different regions and people, such as Australian aborigines to increase their quality of health. Specifically, an epidemic of Chlamydia is widespread amongst the aboriginal communities of Australia's Northern Territory. Tools developed in this project will be easily adaptable to address control measures for Chlamydia among this population. Read moreRead less
Understanding spatial trends in HIV/AIDS infections in South Africa and Australia. This project will develop quantitative methods that will be used to inform public health officials in understanding past and current HIV/AIDS epidemics as well as planning for the future of these epidemics. It will understand not only the behavioural and demographic characteristics of importance as risk factors for HIV infection in South Africa, the epicentre of the global HIV pandemic, but also the geographical s ....Understanding spatial trends in HIV/AIDS infections in South Africa and Australia. This project will develop quantitative methods that will be used to inform public health officials in understanding past and current HIV/AIDS epidemics as well as planning for the future of these epidemics. It will understand not only the behavioural and demographic characteristics of importance as risk factors for HIV infection in South Africa, the epicentre of the global HIV pandemic, but also the geographical spatial locations in which HIV cases are likely to emerge in the future. This project will also forecast the future geographical trends in Australia's changing HIV epidemic in order to plan for intervention strategies and prepare clinical practice appropriately.Read moreRead less
Evolutionary models and bioinformatic analyses of genetic variation in pathogens. The benefits of this project are better preparedness for the ever-present threat of infectious disease spread and the stimulation of bioinformatic research in Australia. Epidemics such as the Influenza Pandemic of 1918, which killed over 20 million people, highlight the need to understand and track pathogens that can potentially cause such devastation. Along with the development of molecular technologies, it is imp ....Evolutionary models and bioinformatic analyses of genetic variation in pathogens. The benefits of this project are better preparedness for the ever-present threat of infectious disease spread and the stimulation of bioinformatic research in Australia. Epidemics such as the Influenza Pandemic of 1918, which killed over 20 million people, highlight the need to understand and track pathogens that can potentially cause such devastation. Along with the development of molecular technologies, it is important to maintain active creation of analytical methods that appropriately apply to growing databases. These include methods to understand genetic variation in pathogens. This project will help to keep Australia at the forefront of research in theoretical biology.Read moreRead less