Fuzzy modelling and design of complex networked systems. This project aims to develop analysis and synthesis approaches for non-linear networked control systems, including modelling, stability analysis and design problems. The non-linear effects and analysis of networked control systems have received considerable attention because of the universal existence of nonlinearities in practice. Network-based non-linear systems are widely used but face problems from non-linearities and networks. This pr ....Fuzzy modelling and design of complex networked systems. This project aims to develop analysis and synthesis approaches for non-linear networked control systems, including modelling, stability analysis and design problems. The non-linear effects and analysis of networked control systems have received considerable attention because of the universal existence of nonlinearities in practice. Network-based non-linear systems are widely used but face problems from non-linearities and networks. This project will establish a software-based nonlinear networked control system platform to test the presented algorithms and strengthen the scenarios in applications. This project is expected to increase Australian excellence in cyber-security and advanced manufacturing.Read moreRead less
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
Mathematical Modelling of the Mechanobiology of Arterial Plaque Growth. Plaque growth is a chronic inflammatory response induced by the interactions between endothelial cells, lipids, monocytes/macrophages, smooth muscle cells and platelets in the arteries. It involves many different biological processes, such as lipid deposition, inflammation and angiogenesis, and their interactions with the microcirculation. To understand the underlying mechanobiology, we propose to develop a mathematical mode ....Mathematical Modelling of the Mechanobiology of Arterial Plaque Growth. Plaque growth is a chronic inflammatory response induced by the interactions between endothelial cells, lipids, monocytes/macrophages, smooth muscle cells and platelets in the arteries. It involves many different biological processes, such as lipid deposition, inflammation and angiogenesis, and their interactions with the microcirculation. To understand the underlying mechanobiology, we propose to develop a mathematical model to interpret plaque growth by integrating these dynamic biological processes. It will offer a systematic rational understanding of plaque growth. New models will be provided to better interpret biological data and contribute to our knowledge in quantifying complex biological mechanisms during growth and development.Read moreRead less
A mathematical model relating neural activity to cerebral blood flow. An ageing population is increasingly prone to neurodegenerative disease and the associated mental impairment can severely disrupt the lives of both the sufferers and the carers. Non-invasive brain imaging techniques are used to both diagnose and supervise treatment of such disease, but at present a lack of understanding of the underlying physiology leaves these methods open to criticism. The construction of a detailed quanti ....A mathematical model relating neural activity to cerebral blood flow. An ageing population is increasingly prone to neurodegenerative disease and the associated mental impairment can severely disrupt the lives of both the sufferers and the carers. Non-invasive brain imaging techniques are used to both diagnose and supervise treatment of such disease, but at present a lack of understanding of the underlying physiology leaves these methods open to criticism. The construction of a detailed quantitative model of the basic processes underlying this imaging will enable precise interpretation of such brain scans and increase their usefulness both as a research and as a therapeutic tool.Read moreRead less
Engineering evolving complex network systems through structure intervention. This project aims to create a theory and technology for engineering complex network systems (CSS) through structural intervention. Complex network systems with evolving components are ubiquitous in nature and society. The science of biological networks, the Internet and large-scale power networks demand tools to understand and influence their evolving dynamics. This project could result in a breakthrough theory in netwo ....Engineering evolving complex network systems through structure intervention. This project aims to create a theory and technology for engineering complex network systems (CSS) through structural intervention. Complex network systems with evolving components are ubiquitous in nature and society. The science of biological networks, the Internet and large-scale power networks demand tools to understand and influence their evolving dynamics. This project could result in a breakthrough theory in network science and technology to augment biological systems and power grids. Expected benefits include cost-effective augmentation of power networks injected with renewable energy sources, and advancing basic biology research.Read moreRead less
Creating subject-specific mathematical models to understand the brain. This project aims to develop a mathematical framework that bridges the different scales of brain activities to provide a new tool for understanding the brain. Methods will be developed that unify individual neural activity with large scale brain activity. The approach will be validated by comparing predictions of interconnected models of neural populations (called mean-field models) to experimental data. The creation of subje ....Creating subject-specific mathematical models to understand the brain. This project aims to develop a mathematical framework that bridges the different scales of brain activities to provide a new tool for understanding the brain. Methods will be developed that unify individual neural activity with large scale brain activity. The approach will be validated by comparing predictions of interconnected models of neural populations (called mean-field models) to experimental data. The creation of subject-specific models from data is important, as there is large variability in neural circuits between individuals despite seemingly similar network activity. The intended outcome is new insights into the processes that govern brain function and methods for improving functional imaging of, and interfacing to, the brain.Read moreRead less
Inter-fragmentary movement in callus formation in the early phase of fracture healing. Computational models of the early phase of bone fracture healing can provide the means to characterise the biochemical factors that control this process, and subsequently influence successful healing outcomes, with or without surgical intervention. This unique approach, incorporating soft tissue and fixation device contributions to fracture healing, will ultimately provide a sound basis for clinical decision-m ....Inter-fragmentary movement in callus formation in the early phase of fracture healing. Computational models of the early phase of bone fracture healing can provide the means to characterise the biochemical factors that control this process, and subsequently influence successful healing outcomes, with or without surgical intervention. This unique approach, incorporating soft tissue and fixation device contributions to fracture healing, will ultimately provide a sound basis for clinical decision-making, implant design and future experimental studies. Facilitating treatment optimisation, the outcomes of this project will create opportunities to reduce healthcare costs, physical impairment, and productivity losses for the 150,000 Australian patients hospitalised annually with fractures.Read moreRead less
Mathematical modelling in developmental biology. Modern observational techniques in biology and medicine generate a wealth of genetic and molecular detail. Mathematical modelling integrates and synthesises this information to provide insight into how complex biological processes are coupled to produce experimentally observed behaviour. Mathematical modelling generates experimentally testable predictions that can be used to verify the validity of the models. This program is dedicated to exciting ....Mathematical modelling in developmental biology. Modern observational techniques in biology and medicine generate a wealth of genetic and molecular detail. Mathematical modelling integrates and synthesises this information to provide insight into how complex biological processes are coupled to produce experimentally observed behaviour. Mathematical modelling generates experimentally testable predictions that can be used to verify the validity of the models. This program is dedicated to exciting opportunities for advancing our knowledge of normal and abnormal developmental processes, especially in embryonic growth. Understanding these processes will lead to prediction and treatment of congenital disorders and contribute to a healthy start to life. Read moreRead less
Nonlinear Time Series Analysis in Cardiac Physiology. We will develop innovative mathematically-based diagnostics with potentially significant savings in mortality and quality of life for affected individuals and health care costs to the community.
Cardiac diseases kill more Australians than any other disease group. According to the National Heart Foundation the prevalence to heart conditions increased by 18% over the last decade.
Medical practitioners are in need of reliable diagnostic too ....Nonlinear Time Series Analysis in Cardiac Physiology. We will develop innovative mathematically-based diagnostics with potentially significant savings in mortality and quality of life for affected individuals and health care costs to the community.
Cardiac diseases kill more Australians than any other disease group. According to the National Heart Foundation the prevalence to heart conditions increased by 18% over the last decade.
Medical practitioners are in need of reliable diagnostic tools to decide whether a person in front of them is at high risk from developing sudden cardiac death, and whether they should be fitted with an implant that could save their life.Read moreRead less
Development of a multivariate physiologic state space analysis framework for characterising functional properties of the cardiovascular system. Pathologies of the cardiovascular system arising from heart diseases make a major contribution to morbidity and mortality in the Australian community. This project will provide new diagnostic modalities based on advanced noninvasive bioinstrumentation, signal processing and model-based analytical methods to identify early signs of developing disease or t ....Development of a multivariate physiologic state space analysis framework for characterising functional properties of the cardiovascular system. Pathologies of the cardiovascular system arising from heart diseases make a major contribution to morbidity and mortality in the Australian community. This project will provide new diagnostic modalities based on advanced noninvasive bioinstrumentation, signal processing and model-based analytical methods to identify early signs of developing disease or the acute exacerbation of existing disease. The impact of these new technologies on the early diagnosis and improved triaging of patients in emergency departments is potentially profound and could result in improved healthcare outcomes for the patients and reduced admissions to hospital as well as the development of a substantial international market.Read moreRead less