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
Discovery Early Career Researcher Award - Grant ID: DE180101098
Funder
Australian Research Council
Funding Amount
$374,200.00
Summary
New mathematical theory for fluid motion on surfaces with holes. This project aims to develop new explicit mathematical results to enhance the understanding of potential theory – a fundamental area of mathematics - on surfaces with complicating geometrical properties. There are very few such fundamental results on complicated curved surfaces, such as those with holes. This project should provide a toolbox for solving many different mathematical problems on curved surfaces. The new results should ....New mathematical theory for fluid motion on surfaces with holes. This project aims to develop new explicit mathematical results to enhance the understanding of potential theory – a fundamental area of mathematics - on surfaces with complicating geometrical properties. There are very few such fundamental results on complicated curved surfaces, such as those with holes. This project should provide a toolbox for solving many different mathematical problems on curved surfaces. The new results should also have application to the analysis of fluid flows over porous media and practical engineering structures.Read moreRead less
Optimal electromaterial structures for energy applications. This project aims to develop new mathematical and modelling approaches to determine optimal configurations and parameters for material structures created from three-dimensional printing of combined metals and electromaterials. Electromaterials are needed for sustainable energy, but solving coupled-systems of highly nonlinear governing equations is needed for optimal control of spatial arrangement and composition in nano and micro-struct ....Optimal electromaterial structures for energy applications. This project aims to develop new mathematical and modelling approaches to determine optimal configurations and parameters for material structures created from three-dimensional printing of combined metals and electromaterials. Electromaterials are needed for sustainable energy, but solving coupled-systems of highly nonlinear governing equations is needed for optimal control of spatial arrangement and composition in nano and micro-structural domains. Dealing with this mathematical complexity is critical to developing high efficiency energy generation and gas storage systems. This is expected to enhance transport mechanisms within electrochemical devices and create opportunities for industry to use electrofunctional materials.Read moreRead less
A new asymptotic toolbox for nonlinear discrete systems and particle chains. This project aims to pioneer a mathematical toolbox of new asymptotic techniques for discrete systems driven by vanishingly small influences. The purpose of these techniques is to permit the asymptotic study of discrete problems in which significant effects originate due to subtle causes that are invisible to existing asymptotic methods. Discrete systems play a significant role in modern applied mathematics, and it is v ....A new asymptotic toolbox for nonlinear discrete systems and particle chains. This project aims to pioneer a mathematical toolbox of new asymptotic techniques for discrete systems driven by vanishingly small influences. The purpose of these techniques is to permit the asymptotic study of discrete problems in which significant effects originate due to subtle causes that are invisible to existing asymptotic methods. Discrete systems play a significant role in modern applied mathematics, and it is vital that mathematical tools be designed in order to explore their behaviour. The aim of this project is to open new pathways for resolving open scientific problems, providing benefits such as understanding the energy dissipation of particle chains and granular lattices contained in small-scale technological components.Read moreRead less
Innovations in spherical approximation - construction, analysis and applications. The motivating problems for this project come from geophysics, including climate, weather forecasting, planetary gravitation and magnetism, and from coding theory and molecular chemistry. National benefit is expected to arise both from an improved ability to handle problems of key economic importance, and from an enhanced position in the international scientific world, through public presentation in leading journa ....Innovations in spherical approximation - construction, analysis and applications. The motivating problems for this project come from geophysics, including climate, weather forecasting, planetary gravitation and magnetism, and from coding theory and molecular chemistry. National benefit is expected to arise both from an improved ability to handle problems of key economic importance, and from an enhanced position in the international scientific world, through public presentation in leading journals and international conferences, and from direct collaboration with internationally leading scientists from USA, UK and Germany. The project will also increase the pool of trained mathematicians with expertise in areas important for applications.
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Constructive control of interconnected systems. Sustainability and competitiveness of the Australian industry critically depends on the progress in the technological area of distributed information processing and control. This project will contribute to the existing Australian research effort in this area by advancing the control systems theory which underpins many cutting edge technologies in areas of immediate national interest.
Australian Laureate Fellowships - Grant ID: FL210100110
Funder
Australian Research Council
Funding Amount
$3,021,288.00
Summary
New Approaches to Understand How Form and Function Shape Complex Systems. As biology and medicine transform into quantitative sciences, existing mathematical methods are often inadequate to explain the data they generate. This project aims to unlock the potential of such biomedical data through the development of new mathematical approaches that combine concepts from pure and applied mathematics, statistics and data science, and then to investigate their ability to generate mechanistic insight i ....New Approaches to Understand How Form and Function Shape Complex Systems. As biology and medicine transform into quantitative sciences, existing mathematical methods are often inadequate to explain the data they generate. This project aims to unlock the potential of such biomedical data through the development of new mathematical approaches that combine concepts from pure and applied mathematics, statistics and data science, and then to investigate their ability to generate mechanistic insight into fundamental biomedical processes. In this way, the project expects to affect a paradigm shift in mathematical biology while strengthening Australia’s reputation as a world-leader in mathematical biology. An outcome from this project could be new mathematical models that guide decision making in the clinic.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE120100049
Funder
Australian Research Council
Funding Amount
$375,000.00
Summary
New integer programming based theory, formulations and decomposition techniques with applications to integrated problems. Optimisation problems permeate science and industry. By developing new techniques to solve larger and harder problems than is currently possible, more complex questions can be answered, and more accurate solutions obtained. Industries can use such tools to make better financial, resource management, operational, and/or strategic planning decisions.
Mathematical models and bioinformatic analyses of bacterial genome evolution. Bacteria are vital agents in earth's biosphere, breaking down and synthesising a wide variety of compounds. Some bacteria cause disease; others are exploited for a range of biotechnological applications. Bacteria have a remarkable ability to survive and thrive in changing conditions. For example, pathogenic bacteria confronted by antibiotics easily evolve resistance to them. With the reality of climate change, we expec ....Mathematical models and bioinformatic analyses of bacterial genome evolution. Bacteria are vital agents in earth's biosphere, breaking down and synthesising a wide variety of compounds. Some bacteria cause disease; others are exploited for a range of biotechnological applications. Bacteria have a remarkable ability to survive and thrive in changing conditions. For example, pathogenic bacteria confronted by antibiotics easily evolve resistance to them. With the reality of climate change, we expect more rapid shifts in the structure of bacterial communities, possibly leading to the emergence of new pathogens. The benefits of this project are to discover how the genetic structure of bacteria confer this flexibility, and to help keep Australia at the forefront of research in bioinformatics and mathematical biology.
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A novel framework for designing input excitation for system identification. Engineers need mathematical models describing the behaviour of the components they use in their design. This project aims at resolving some critical issues faced by the researchers developing cutting edge mathematical software for building such models.