Quantitative dynamics of functional magnetic resonance imaging. By modeling and verifying the dynamics of brain activity and blood flow that underlie functional magnetic resonance imaging (fMRI), this project will yield improved scientific outcomes and imaging sensitivity. The new data analysis techniques and technologies that result will yield potentially patentable intellectual property, and will increase the standing of Australia in this rapidly developing field, including via links being bu ....Quantitative dynamics of functional magnetic resonance imaging. By modeling and verifying the dynamics of brain activity and blood flow that underlie functional magnetic resonance imaging (fMRI), this project will yield improved scientific outcomes and imaging sensitivity. The new data analysis techniques and technologies that result will yield potentially patentable intellectual property, and will increase the standing of Australia in this rapidly developing field, including via links being built to leading international workers. The National Research Priority Goals of Frontier Technologies, Breakthrough Science, Smart Information Use, and Promoting an Innovation Economy will thus be advanced.Read moreRead less
Robust and Distributed Control of Quantum Systems. Australia has considerable strengths in quantum technology research. As these technologies advance, the issue of control and in particular feedback control becomes a critical one. This research project will strengthen Australia's position in quantum technology by developing new methodologies for designing high performance robust and distributed feedback controllers for quantum systems. The project will also add to Australia's strength in quantum ....Robust and Distributed Control of Quantum Systems. Australia has considerable strengths in quantum technology research. As these technologies advance, the issue of control and in particular feedback control becomes a critical one. This research project will strengthen Australia's position in quantum technology by developing new methodologies for designing high performance robust and distributed feedback controllers for quantum systems. The project will also add to Australia's strength in quantum technology by contributing to the research training of young researchers with expertise both in control systems engineering and quantum technology. This project will help Australia reap the maximum possible benefit from the new industries to emerge from the field of quantum technology.Read moreRead less
Robust Feedback Control in Quantum Technology. Australia has considerable strengths in quantum technology research. As these technologies advance, the issue of control and in particular feedback control becomes a critical one. This research project will strengthen Australia's position in quantum technology by developing new methodologies for designing high performance robust feedback controllers for quantum systems. The project will also add to Australia's strength in quantum technology by contr ....Robust Feedback Control in Quantum Technology. Australia has considerable strengths in quantum technology research. As these technologies advance, the issue of control and in particular feedback control becomes a critical one. This research project will strengthen Australia's position in quantum technology by developing new methodologies for designing high performance robust feedback controllers for quantum systems. The project will also add to Australia's strength in quantum technology by contributing to the research training of young researchers with expertise both in control systems engineering and quantum technology. This project will help Australia reap the maximum possible benefit from the new industries to emerge from the field of quantum technology.
Read moreRead less
New mathematics to improve understanding of anomalously diffusing reactions. Standard mathematical models for particles that diffuse and react are based on assumptions that improving technologies have revealed do not always hold. This project aims to create a mathematical framework that generalises existing approaches, taking into account observations of complicated transport behaviour at many scales, and including the impact of this anomalous transport on reactions. The development of the fram ....New mathematics to improve understanding of anomalously diffusing reactions. Standard mathematical models for particles that diffuse and react are based on assumptions that improving technologies have revealed do not always hold. This project aims to create a mathematical framework that generalises existing approaches, taking into account observations of complicated transport behaviour at many scales, and including the impact of this anomalous transport on reactions. The development of the framework will involve innovative approaches utilising mathematical techniques, including dynamical systems, fractional calculus, and stochastic processes. This project aims to deliver new mathematical models that can be adopted in applications across different discipline areas, and especially in biological systems. Read moreRead less
Neural spike variability: unifying conflicting views of neural dynamics. The project aims to improve our understanding of neural dynamics. The brain represents and processes information by means of neural voltage spikes, which show great variability in their timing. Understanding the origin of such variable neural dynamics is a long-standing problem in neuroscience. The aim of this project is to develop a novel account of variable neural dynamics, unravelling their computational principles in th ....Neural spike variability: unifying conflicting views of neural dynamics. The project aims to improve our understanding of neural dynamics. The brain represents and processes information by means of neural voltage spikes, which show great variability in their timing. Understanding the origin of such variable neural dynamics is a long-standing problem in neuroscience. The aim of this project is to develop a novel account of variable neural dynamics, unravelling their computational principles in the brain, and unifying current leading but conflicting theories. The model developed in this project would be used to explain a range of empirical observations, and the principles unravelled would be applied to understand spike-timing based neural coding. The new knowledge gained in this project may have profound implications for designing brain-like computing devices.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.
Read moreRead less
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.
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
Fundamental Studies in System Identification. To operate a dynamic system such as a chemical process plant or an economy one needs two things; the equations describing the system; a way of regulating the system to provide desired outcomes. System identification provides the first; control engineering design provides the second. This proposal addresses three important problems in system identification and control. Firstly since the equations can never be known precisely we aim to determine what i ....Fundamental Studies in System Identification. To operate a dynamic system such as a chemical process plant or an economy one needs two things; the equations describing the system; a way of regulating the system to provide desired outcomes. System identification provides the first; control engineering design provides the second. This proposal addresses three important problems in system identification and control. Firstly since the equations can never be known precisely we aim to determine what is the best one can do? Secondly to provide then tight error bounds for the control design;
thirdly to develop new methods for some hitherto unresolved problems in system identification.Read moreRead less
Innovative mathematical modelling to determine incorporation of gene therapy in different cell lineages; Human Immunodeficiency Virus (HIV) as a model setting. Gene therapy is a promising therapeutic that is being developed to address genetic diseases and viral infections such as Human Immunodeficiency Virus (HIV). This project will produce mathematical models of how gene therapy delivered to one type of cell can differentiate into the desired end target and impact disease.