Advanced Bayesian Inversion Algorithms for Wave Propagation. This project aims to improve algorithms for detecting hidden items by developing new computational mathematical techniques capable of reconstructing the shape and location of objects using electromagnetic waves. This project expects to generate new knowledge in the areas of Bayesian Inversion and computational wave propagation. Expected outcomes of this project are algorithms that can be developed for use in nonintrusive radio wave sec ....Advanced Bayesian Inversion Algorithms for Wave Propagation. This project aims to improve algorithms for detecting hidden items by developing new computational mathematical techniques capable of reconstructing the shape and location of objects using electromagnetic waves. This project expects to generate new knowledge in the areas of Bayesian Inversion and computational wave propagation. Expected outcomes of this project are algorithms that can be developed for use in nonintrusive radio wave security scanners. This should provide benefits such as the capability to scan a crowd without a checkpoint, which will have the potential to improve security in public places.Read moreRead less
Numerical Algorithms for Constructing Feedback Control Laws. Many decision making problems in engineering, finance and management are governed by optimal feedback control systems. These systems are normally too complex to be solved by conventional numerical methods. In this project, we propose to develop novel numerical algorithms for constructing feedback control laws. We will also investigate the procatical significance of these algorithms for solving real-world problems. The outcome of the pr ....Numerical Algorithms for Constructing Feedback Control Laws. Many decision making problems in engineering, finance and management are governed by optimal feedback control systems. These systems are normally too complex to be solved by conventional numerical methods. In this project, we propose to develop novel numerical algorithms for constructing feedback control laws. We will also investigate the procatical significance of these algorithms for solving real-world problems. The outcome of the project will provide efficient and accurate tools for constructing feedback laws in high dimensions.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE150101137
Funder
Australian Research Council
Funding Amount
$312,000.00
Summary
Two-scale numerical modelling of coupled transport in heterogeneous media. Groundwater constitutes a vital part of water resources in Australia, however, the quality of this water is susceptible to contamination. This project aims to develop an innovative two-scale mathematical model for contaminant transport that accounts for small-scale heterogeneities found in the unsaturated zone of an aquifer located between the ground surface and the underlying groundwater. The project aims to develop valu ....Two-scale numerical modelling of coupled transport in heterogeneous media. Groundwater constitutes a vital part of water resources in Australia, however, the quality of this water is susceptible to contamination. This project aims to develop an innovative two-scale mathematical model for contaminant transport that accounts for small-scale heterogeneities found in the unsaturated zone of an aquifer located between the ground surface and the underlying groundwater. The project aims to develop valuable environmental insights, a simulation tool that will help in making decisions regarding the future management of Australian groundwater resources, and a general two-scale modelling and simulation framework for other important environmental and industrial problems involving coupled transport in heterogeneous media.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE150101842
Funder
Australian Research Council
Funding Amount
$345,000.00
Summary
New mathematical models for capturing heterogeneity of human brain tissue. This project aims to understand the impact of the heterogeneity of brain tissue on Magnetic Resonance Imaging (MRI) data in both healthy and diseased human brains, and to extract and quantify information on heterogeneity from the data. The project aims to develop novel mathematical and computational approaches to model the heterogeneity of the human brain. The project aims to identify new biomarkers for classifying differ ....New mathematical models for capturing heterogeneity of human brain tissue. This project aims to understand the impact of the heterogeneity of brain tissue on Magnetic Resonance Imaging (MRI) data in both healthy and diseased human brains, and to extract and quantify information on heterogeneity from the data. The project aims to develop novel mathematical and computational approaches to model the heterogeneity of the human brain. The project aims to identify new biomarkers for classifying different brain diseases, based on the extent of heterogeneity across different brain tissue. Results will be validated against extensive MRI scanning data of patients. This project aims to advance state-of-the-art techniques in human brain MRI data analysis.Read moreRead less
From genes to organ function: understanding how heterogeneity in tissue modulates cellular behaviour in the heart. New computational and software engineering approaches are developed to model the electrophysiological variability of the heart and the mechanisms inducing arrhythmias. A significant outcome is a set of practical tools vital to cardiac research that provide medical specialists the ability to test hypotheses on low-cost powerful computing hardware.
Diffusion and transport of saltwater in coastal aquifers. Saltwater intrusion is a severe environmental problem in coastal regions of Australia, resulting in loss of agricultural land at an alarming rate. This project aims to develop a three-dimensional mathematical model for the simulation and prediction of saltwater intrusion into complex coastal aquifers based on recent advances in the theory of anomalous diffusion, stochastic modelling and numerical methods. The parameters of the model such ....Diffusion and transport of saltwater in coastal aquifers. Saltwater intrusion is a severe environmental problem in coastal regions of Australia, resulting in loss of agricultural land at an alarming rate. This project aims to develop a three-dimensional mathematical model for the simulation and prediction of saltwater intrusion into complex coastal aquifers based on recent advances in the theory of anomalous diffusion, stochastic modelling and numerical methods. The parameters of the model such as hydraulic conductivity and porosity will be estimated using multifractal techniques based on field data at the microscale. Once validated from measurements, the model will be used directly for resource management and planning.Read moreRead less
Image-based Multiscale Modelling of Transport Phenomena in Porous Media. This project aims to develop an innovative general framework to build multiphase porous media transport models directly from electron microscope images of the underlying microstructure. Leading edge experimental, computational and applied mathematical techniques are proposed to drive this novel approach of multiscale modelling, employable across numerous fields of science and engineering. The central project theme of develo ....Image-based Multiscale Modelling of Transport Phenomena in Porous Media. This project aims to develop an innovative general framework to build multiphase porous media transport models directly from electron microscope images of the underlying microstructure. Leading edge experimental, computational and applied mathematical techniques are proposed to drive this novel approach of multiscale modelling, employable across numerous fields of science and engineering. The central project theme of developing an efficient and accurate multiscale model for simulating transport in heterogeneous porous media is expected to find application in the drying, timber and crop industries, and governmental agencies managing pollution in groundwater resources. This insight is likely to be invaluable for designing new industrial technologies and optimising current operations.Read moreRead less
Optimum design of controlled drug delivery systems. Controlled drug delivery systems are ideal to achieve localised release of drugs at an effective rate for a prolonged period. They have the merit of optimising drug absorption by a body, relieving patients from frequent administration and high dosage of drugs which often result in drug wastage, patients' inconvenience and more importantly the side effects that can be fatal. The success of this project will (1) enhance the Australia pharmaceutic ....Optimum design of controlled drug delivery systems. Controlled drug delivery systems are ideal to achieve localised release of drugs at an effective rate for a prolonged period. They have the merit of optimising drug absorption by a body, relieving patients from frequent administration and high dosage of drugs which often result in drug wastage, patients' inconvenience and more importantly the side effects that can be fatal. The success of this project will (1) enhance the Australia pharmaceutical industry's competitiveness in the global market, (2) provide good medication for the treatment of various diseases, promoting good health of Australians, (3) lead to new mathematical models and solutions that are also applicable to such fields as resources and environmental systems.Read moreRead less
The Time-Varying Eigenvalue Problem with Application to Signal Processing and Control. Linear models are ubiquitous in representing physical processes. Decomposing a linear model into its fundamental components is known as the eigenvalue problem. In applications as wide ranging as astronomy, aircraft control systems, Internet search engines and communication systems, it is necessary to perform this decomposition of a pertinent time varying linear model on the fly. This project aims to develop si ....The Time-Varying Eigenvalue Problem with Application to Signal Processing and Control. Linear models are ubiquitous in representing physical processes. Decomposing a linear model into its fundamental components is known as the eigenvalue problem. In applications as wide ranging as astronomy, aircraft control systems, Internet search engines and communication systems, it is necessary to perform this decomposition of a pertinent time varying linear model on the fly. This project aims to develop significantly faster and more accurate algorithms for this time varying eigenvalue problem than currently exist. Very modern techniques will be employed to achieve this aim, and the potential benefits to Australian hi-tech industries are great.
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Numerically Robust Extruder Die Design for Fabricating High-Quality Preforms for Microstructured Polymer Optical Fibres. Microstructural polymer optical fibres (mPOFs) were pioneered in Australia, are now comparable in performance (but much more versatile) than conventional polymer fibre, and are a highly attractive commercial option. Potential industrial applications envisage cost-effective preform fabrication as a key issue, with extrusion as the favoured route. This interdisciplinary project ....Numerically Robust Extruder Die Design for Fabricating High-Quality Preforms for Microstructured Polymer Optical Fibres. Microstructural polymer optical fibres (mPOFs) were pioneered in Australia, are now comparable in performance (but much more versatile) than conventional polymer fibre, and are a highly attractive commercial option. Potential industrial applications envisage cost-effective preform fabrication as a key issue, with extrusion as the favoured route. This interdisciplinary project benefits Australia by (i) extending and exploiting our research advantages in advanced photonics and computational rheology, (ii) providing the 'missing link' for large-scale mPOF production and positioning us to reap the economic benefits of this innovative technology, and (iii) providing computational techniques for rheological modelling that are applicable in diverse Australian industry sectors.Read moreRead less