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
Mathematical measurement and modelling of neuronal degeneration. Currently about 150,000 Australian's suffer from cognitive impairment due to Alzheimer's disease or dementia and this number is expected to double over the next few decades. By combining newly developed mathematical methods in complex systems with sophisticated neural imaging we will develop new techniques to advance the diagnosis and treatment of cognitive decline in normal ageing and neurodegenerative disease.
This project will ....Mathematical measurement and modelling of neuronal degeneration. Currently about 150,000 Australian's suffer from cognitive impairment due to Alzheimer's disease or dementia and this number is expected to double over the next few decades. By combining newly developed mathematical methods in complex systems with sophisticated neural imaging we will develop new techniques to advance the diagnosis and treatment of cognitive decline in normal ageing and neurodegenerative disease.
This project will also maintain the collaborative link between researchers in Biomathematics at Mount Sinai School of Medicine, New York and researchers in Applied Mathematics at UNSW that enables training of Australian scientists in the vital area of mathematical bio-complexity.Read moreRead less
A mathematical model of calcium signalling in single cells and in multicellular systems. Calcium released from stores inside cells plays a vital signalling role in living organisms. It initiates cell division after fertilization, mediates communication and learning in the nervous system, causes contraction in the muscular walls of arteries and plays an important but as yet poorly understood role in the information processing that occurs in systems of coupled glial cells. We will construct a uni ....A mathematical model of calcium signalling in single cells and in multicellular systems. Calcium released from stores inside cells plays a vital signalling role in living organisms. It initiates cell division after fertilization, mediates communication and learning in the nervous system, causes contraction in the muscular walls of arteries and plays an important but as yet poorly understood role in the information processing that occurs in systems of coupled glial cells. We will construct a unified mathematical model of calcium signalling in multicellular systems, starting from the known processes in single cells, and use it to gain insight into the functioning and possible dysfunctioning of calcium-mediated intercellular communication.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
Understanding the dynamics of T cell responses to chronic infection. The health, social, and economic impact of chronic infections on the Australian and global populations is enormous. A major obstacle to the development of vaccines against chronic infections is that we have a poor understanding of immune responses to persistent infections. We aim to use bioinformatics and mathematical modelling to understand immune responses to persistent viruses so that we can improve the long-term immune cont ....Understanding the dynamics of T cell responses to chronic infection. The health, social, and economic impact of chronic infections on the Australian and global populations is enormous. A major obstacle to the development of vaccines against chronic infections is that we have a poor understanding of immune responses to persistent infections. We aim to use bioinformatics and mathematical modelling to understand immune responses to persistent viruses so that we can improve the long-term immune control of chronic viral infections such as the human immunodeficiency virus (HIV). This project will strengthen Australian research in the area of interdisciplinary approaches to immunology, which is becoming crucial to interpreting the rapidly increasing volume of data obtained using advanced experimental techniques.Read moreRead less
T cell recognition and control of virus: the balance between T cell receptor diversity and degeneracy. T cells provide an important line of defence in the immune system's resistance against infectious diseases. However, changes to the T cell population during prolonged infection, and with age, can compromise the immune system's ability to fight effectively viral infections. The proposed research will greatly improve our understanding of the recognition and control of viral infections by T cells. ....T cell recognition and control of virus: the balance between T cell receptor diversity and degeneracy. T cells provide an important line of defence in the immune system's resistance against infectious diseases. However, changes to the T cell population during prolonged infection, and with age, can compromise the immune system's ability to fight effectively viral infections. The proposed research will greatly improve our understanding of the recognition and control of viral infections by T cells. The insights gained from this research will enable us to exploit key features of T cell responses to improve the outcome of viral infections in elderly individuals and to develop better vaccines for protection against a range of infectious diseases that affect the Australian population, including HIV and Hepatitis C.Read moreRead less
Understanding the T cell repertoire in health and disease. Immune recognition of viruses usually involves a large number of different 'killer T cells' that kill cells infected by virus. However, during prolonged infection or in the elderly the number of different killer T cells that recognise the virus is greatly reduced. This reduction in the diversity of the immune response allows the virus to avoid immune recognition, and leads to more severe infection. We aim to understand how diversity is ....Understanding the T cell repertoire in health and disease. Immune recognition of viruses usually involves a large number of different 'killer T cells' that kill cells infected by virus. However, during prolonged infection or in the elderly the number of different killer T cells that recognise the virus is greatly reduced. This reduction in the diversity of the immune response allows the virus to avoid immune recognition, and leads to more severe infection. We aim to understand how diversity is generated in the immune response, and how it becomes narrowed with age or prolonged infection. This information can be used to design vaccines for persistent infections such as HIV, and to improve immune control of infection in the elderly.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
Using mathematical modelling to inform HIV/AIDS public health policy. This research will directly inform HIV/AIDS policy officials on the most effective strategies for preventing new cases in HIV in the community. Consequently, there are health benefits for Australia and for the other countries in which the research is being conducted. HIV/AIDS community groups, educators, and other advocacy groups will also be engaged in the research, leading to the development of focussed prevention campaigns ....Using mathematical modelling to inform HIV/AIDS public health policy. This research will directly inform HIV/AIDS policy officials on the most effective strategies for preventing new cases in HIV in the community. Consequently, there are health benefits for Australia and for the other countries in which the research is being conducted. HIV/AIDS community groups, educators, and other advocacy groups will also be engaged in the research, leading to the development of focussed prevention campaigns by these stakeholders to inform the appropriate communities. Reducing the health burdens of HIV/AIDS will also have economic benefits.Read moreRead less
Can an anti-HIV gene in blood stem cells protect from immune depletion by HIV? Approximately 15,000 individuals in Australia are currently HIV infected. Gene therapy has the capacity to remove antiretroviral treatment related issues, dramatically decrease treatment costs and simplify treatment of HIV.
In this study we will model a new approach to treat HIV in which the patient's own cells are used as the therapy by incorporating an anti-HIV gene. These cells are then re-introduced into the p ....Can an anti-HIV gene in blood stem cells protect from immune depletion by HIV? Approximately 15,000 individuals in Australia are currently HIV infected. Gene therapy has the capacity to remove antiretroviral treatment related issues, dramatically decrease treatment costs and simplify treatment of HIV.
In this study we will model a new approach to treat HIV in which the patient's own cells are used as the therapy by incorporating an anti-HIV gene. These cells are then re-introduced into the patient.
The strong mathematical focus of this project, and its application to a promising approach against HIV, will place Australia at the forefront of the mathematics of gene research and contribute to the National Priority Area of Promoting and Maintaining Good Health and the Priority Goal of Preventative Healthcare.
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