Determination of benchmarking parameters for assessing the mechanical robustness of articular cartilage: a joint mathematical and experimental investigation. Osteoarthritis associated with the deterioration of the articular cartilage affects about 12% of Australian adults. This project will use an integrated approach combining novel mathematical modelling and an extensive experimental program to establish critical mechanical parameters, in particular, the fracture toughness of articular cartilag ....Determination of benchmarking parameters for assessing the mechanical robustness of articular cartilage: a joint mathematical and experimental investigation. Osteoarthritis associated with the deterioration of the articular cartilage affects about 12% of Australian adults. This project will use an integrated approach combining novel mathematical modelling and an extensive experimental program to establish critical mechanical parameters, in particular, the fracture toughness of articular cartilage and will incorporate the unique structure of the dissimilar layers in articular cartilage. It will be used to study how these resist the propagation of an initiated crack and will offer significant insight into the desirable fracture properties of any replacement material for articular cartilage and will provide a basis for assessing replacement biomaterials.Read moreRead less
Development of Control Methodologies for Drug Dosing in Biomedical Engineering. This research proposal is very relevant to the National Research Priorities in the areas of Frontier Technologies and Breakthrough science. At a broader level, we aim to assist in the development of a national competence in what has been an emerging and promising discipline. The research will develop fundamental and enabling laws and techniques for drug administration to regulate physiological variables such as blood ....Development of Control Methodologies for Drug Dosing in Biomedical Engineering. This research proposal is very relevant to the National Research Priorities in the areas of Frontier Technologies and Breakthrough science. At a broader level, we aim to assist in the development of a national competence in what has been an emerging and promising discipline. The research will develop fundamental and enabling laws and techniques for drug administration to regulate physiological variables such as blood pressure and degree of consciousness in critical care patients.Read moreRead less
System identification of microstructure in the brain using magnetic resonance. Magnetic Resonance Imaging technologies will be exploited to probe the microstructure of the brain, using powerful Bayesian optimisation techniques and innovative uses of magnetic resonance. The project will in particular develop non-invasive imaging methods to quantify iron content in the brain, important for research on dementia and Alzheimer's disease.
Discovery Early Career Researcher Award - Grant ID: DE120101113
Funder
Australian Research Council
Funding Amount
$375,000.00
Summary
Mathematical modelling of breast cancer immunity: guiding the development of preventative breast cancer vaccines. The project will apply various methods from mathematical modelling to simulate anti-breast cancer immune responses to incipient tumours. Results from simulation and analysis will help develop, assess, and optimise preventative breast cancer vaccines for further testing in future experimental studies.
Mathematical modelling unravels the impact of social dynamics on evolution. This project aims to mathematically model human evolution as a dynamical process. The anticipated goal is to quantitatively analyse theories of human origins. The project expects to develop innovative mathematical models, improve our understanding of the evolutionary process, and advance a unique area of interdisciplinary collaboration: applied mathematics and anthropology. Expected outcomes include refined methods fo ....Mathematical modelling unravels the impact of social dynamics on evolution. This project aims to mathematically model human evolution as a dynamical process. The anticipated goal is to quantitatively analyse theories of human origins. The project expects to develop innovative mathematical models, improve our understanding of the evolutionary process, and advance a unique area of interdisciplinary collaboration: applied mathematics and anthropology. Expected outcomes include refined methods for mathematical modelling of human evolution and improved techniques for analysing such models. It should provide benefits, such as increasing research in mathematical biology, an important growth area of science in Australia, and advancing mathematical approaches to engaging questions arising from anthropology.Read moreRead less
Dynamical systems theory and mathematical modelling of viral infections. This project aims to use mathematical modelling to elucidate the emergence of complex, population-level behaviour from local interactions. In particular, the project will study the self-organising dynamics of the immune response. The project expects to develop new mathematical models of self-organisation, advance links between computational agent-based modelling and dynamical systems modelling, and build new tools for mat ....Dynamical systems theory and mathematical modelling of viral infections. This project aims to use mathematical modelling to elucidate the emergence of complex, population-level behaviour from local interactions. In particular, the project will study the self-organising dynamics of the immune response. The project expects to develop new mathematical models of self-organisation, advance links between computational agent-based modelling and dynamical systems modelling, and build new tools for mathematically analysing complex biological systems. Expected outcomes include strengthened collaborations within Australia and with South Korea. Expected benefits include joint research funding with Korean institutions, increased international visibility, and expanded scope for high school and community outreach.Read moreRead less
Functional state observers for large-scale interconnected systems. This project will produce conceptual advances with new design rules to develop robust and efficient functional state observers for interconnected systems. The outcomes will advance the theory of functional observers and improve the operation, efficiency and performance of critical infrastructure such as power grids, water and traffic networks.
Complex Multiscale Systems: Modeling, Analysis and Scientific Computation. This project aims to develop and implement a systematic approach, both analytic and computational, to extract compact, accurate, system level models of complex physical and engineering systems. The wide ranging methodology is to construct computationally efficient "wrappers" around fine scale, microscopic, detailed descriptions of dynamical systems (particle or molecular simulation, or partial differential equations or la ....Complex Multiscale Systems: Modeling, Analysis and Scientific Computation. This project aims to develop and implement a systematic approach, both analytic and computational, to extract compact, accurate, system level models of complex physical and engineering systems. The wide ranging methodology is to construct computationally efficient "wrappers" around fine scale, microscopic, detailed descriptions of dynamical systems (particle or molecular simulation, or partial differential equations or lattice equations). Comprehensively accounting for multiscale interactions between subgrid processes among macroscale variations ensures stability and accuracy. Based on dynamical systems theory and analysis, this approach is expected to empower systematic analysis and understanding for optimal macroscopic simulation for forthcoming exascale computing.Read moreRead less
Rogue waves in realistic situations. Rapid progress in rogue wave research internationally requires the further development of an accurate theory of extreme waves in deep water and in optical fibers. Such progress is a necessity for our ability to predict their appearance in the ocean or their use in optics. This project will enhance the modelling of extreme waves by taking into account higher order effects such as third order dispersion, self-steepening and time delayed response, as well as dis ....Rogue waves in realistic situations. Rapid progress in rogue wave research internationally requires the further development of an accurate theory of extreme waves in deep water and in optical fibers. Such progress is a necessity for our ability to predict their appearance in the ocean or their use in optics. This project will enhance the modelling of extreme waves by taking into account higher order effects such as third order dispersion, self-steepening and time delayed response, as well as dissipative and higher order nonlinear terms. These are essential for a precise description of both giant waves in the ocean and strong pulses in optics. Read moreRead less
Advanced mathematical modelling and computation of fractional sub-diffusion problems in complex domains. Over the past few decades, researchers have observed numerous biological, physical and financial systems in which some key underlying random motion fails to conform to the classical model of diffusion. The project will extend current macroscopic models describing such anomalous sub-diffusion by correctly incorporating the confounding effects of nonlinear reactions, forcing and irregular geome ....Advanced mathematical modelling and computation of fractional sub-diffusion problems in complex domains. Over the past few decades, researchers have observed numerous biological, physical and financial systems in which some key underlying random motion fails to conform to the classical model of diffusion. The project will extend current macroscopic models describing such anomalous sub-diffusion by correctly incorporating the confounding effects of nonlinear reactions, forcing and irregular geometry. A key aspect of the project is the design of new algorithms that will fundamentally improve the accuracy and efficiency of direct numerical simulations of sub-diffusion in challenging applications. Read moreRead less