Complex dynamical systems: inferring form and function of interacting biological systems. Often in biology a large number of simple parts interacting according to simple rules can result in behaviour that is rich and varied. This project aims to develop the mathematics of complex systems theory to describe how such collections of simple interacting parts can form large complicated structures, and to deduce what dynamical behaviour can result.
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.
Dynamics of atherosclerotic plaque formation, growth and regression. This project aims to provide a mathematical framework to interpret plaque growth. Many biological processes contribute to the growth of atherosclerotic plaques inside arteries. Lipoproteins enter the artery walls and stimulate tissues to signal to cells which duly respond so that fatty streaks form and grow into dangerous plaques that cause heart attacks or stroke. These processes are often nonlinear and operate on widely varyi ....Dynamics of atherosclerotic plaque formation, growth and regression. This project aims to provide a mathematical framework to interpret plaque growth. Many biological processes contribute to the growth of atherosclerotic plaques inside arteries. Lipoproteins enter the artery walls and stimulate tissues to signal to cells which duly respond so that fatty streaks form and grow into dangerous plaques that cause heart attacks or stroke. These processes are often nonlinear and operate on widely varying time scales. The project plans to use systems of ordinary differential equations, partial differential equations with non-standard boundary conditions, and bifurcation theory to find how nonlinear processes shape plaque growth. The expected results may demonstrate the importance of bifurcations, dynamics and nonlinear systems in plaque growth and provide new models to interpret biological data.Read moreRead less
Systems modelling of the cardiac fibroblast. The cardiac fibroblast is a specialised cell in the heart. New evidence shows that this cell type is central to heart function, but relatively little is known about how and why. This project will develop mathematical modelling to characterise how the cardiac fibroblast regulates the functioning of the adult heart.
Designing an Intelligent Process Operation Management System. The complexity and sophistication of current generation of industrial processes, and the growing need for autonomous agents that control physical systems, motivate the need for the development of an intelligent process operation management system. In this project, the innovative integration of theories from different scientific fields (computer systems, process engineering, systems and control engineering) provides an excellent platfo ....Designing an Intelligent Process Operation Management System. The complexity and sophistication of current generation of industrial processes, and the growing need for autonomous agents that control physical systems, motivate the need for the development of an intelligent process operation management system. In this project, the innovative integration of theories from different scientific fields (computer systems, process engineering, systems and control engineering) provides an excellent platform for development of a smart data management tool, to oversee the major operational tasks within the plant and help the operators and engineers to make more informed decisions. Direct application of the techniques developed in this study to a pilot case study, could be used as a benchmark to show the potential benefits that can be gained through smart information use and data management.Read moreRead less
Stochastic modelling of telomere length regulation in ageing research. This project will design innovative stochastic models to explore the molecular mechanisms governing telomere length regulation and their critical roles in determining cell fate. Computer simulations will provide testable predictions regarding the crucial functions of noise in generating the heterogeneity of telomere length.
Emergence of modular structure in complex systems. Complex systems pervade our world, but are still poorly understood. Self-contained modules provide the most widespread and effective way of reducing and managing complexity, but the way they form in natural systems remains largely a mystery. This study investigates mechanisms that contribute to module formation in complex networks, including adaptation, clustering, enslavement, feedback, phase change and synchronisation. Outcomes will include in ....Emergence of modular structure in complex systems. Complex systems pervade our world, but are still poorly understood. Self-contained modules provide the most widespread and effective way of reducing and managing complexity, but the way they form in natural systems remains largely a mystery. This study investigates mechanisms that contribute to module formation in complex networks, including adaptation, clustering, enslavement, feedback, phase change and synchronisation. Outcomes will include insights into the organisation and functioning of many complex systems, including the Internet, ecological communities and genetic networks. Practical outcomes will include new modelling tools and applications both to evolutionary computation and the design and control of large information networks.Read moreRead less
Modelling, Identification and Control of Complex Networks. Australia has been well known for its leading research in systems and control and many real-world applications in, for instance, telecommunications, defence, power grids and life sciences. This project will further promote Australia's leading position in the emerging new research field - complex networks by theoretical breakthrough in modelling, identification and control of complex networks, and cutting-edge platform technology that can ....Modelling, Identification and Control of Complex Networks. Australia has been well known for its leading research in systems and control and many real-world applications in, for instance, telecommunications, defence, power grids and life sciences. This project will further promote Australia's leading position in the emerging new research field - complex networks by theoretical breakthrough in modelling, identification and control of complex networks, and cutting-edge platform technology that can help Australian energy industry to reduce greenhouse emissions. It will also result in education of the next generation research leaders in this emerging field.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE130101191
Funder
Australian Research Council
Funding Amount
$375,000.00
Summary
Formation of the osteocyte network in bone matrix. The formation of new bone, which occurs throughout life for bone renewal and acutely after fractures, entraps a network of cells that can detect micro-damage and direct repair mechanisms. Mathematical and computational methods will be used to understand how this network can lead to a self-detecting and self-repairing biomaterial.
Dynamic Analysis and Control for Hybrid Systems and Networks. Hybrid systems are now accepted as the best way to model many high-tech situations in transport, energy management, networking, household and industrial automation. This project will develop the theoretical tools needed to ensure such systems operate stably and efficiently despite imperfections and outside disturbances.