Statistical methods for analysing multi-source microarray data and building gene regulatory networks. I will devise a statistical learning technique that does not force a gene to be assigned to exactly one category. This technique reflects the biological reality that a gene can belong to two or more functional categories. Therefore, the new technique will improve a model's ability to identify regulatory genes in different types of cancer; these regulatory genes can be targeted by new anti-cancer ....Statistical methods for analysing multi-source microarray data and building gene regulatory networks. I will devise a statistical learning technique that does not force a gene to be assigned to exactly one category. This technique reflects the biological reality that a gene can belong to two or more functional categories. Therefore, the new technique will improve a model's ability to identify regulatory genes in different types of cancer; these regulatory genes can be targeted by new anti-cancer drugs resulting in a more effective treatment. I will model gene regulatory networks using microarray data from multiple sources. These networks will be used to identify regulatory cliques - a group of genes that are vital for a cellular function. This will improve our understanding of debilitating conditions such as asthma.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
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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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.
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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.
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
Decision-making in social insects and nature-inspired optimisation algorithms. Insect societies are ideal for the study of complex systems. Contrary to other complex systems, insect colonies can be modified without destroying the system. Computer scientists have found a source of inspiration in the behaviour of social insects for solving optimisation problems. Here we will study the influence of information flow on decision-making in real insect societies using:
1) Experiments aimed at investig ....Decision-making in social insects and nature-inspired optimisation algorithms. Insect societies are ideal for the study of complex systems. Contrary to other complex systems, insect colonies can be modified without destroying the system. Computer scientists have found a source of inspiration in the behaviour of social insects for solving optimisation problems. Here we will study the influence of information flow on decision-making in real insect societies using:
1) Experiments aimed at investigating how storage and transfer of information affects individual decision-making within a honey bee colony (University of Sydney)
2) Design of a new class of 'bee' algorithms that incorporate direct information transfer and are aimed at solving dynamic multicriterion optimisation problems (University of Leipzig).
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New Directions in Non-linear Mathematical Asymptotics. Major challenges such as predicting epidemics or modelling cancer rely on our understanding of simple mathematical models with extremely complicated solutions. The first and only model in the literature to reproduce the three-phase cycle of immune response in HIV/AIDS was based on cellular automata. Its results are extremely sensitive to infinitesimally small changes in parameters. Yet, no technique exists to study such variation in cellular ....New Directions in Non-linear Mathematical Asymptotics. Major challenges such as predicting epidemics or modelling cancer rely on our understanding of simple mathematical models with extremely complicated solutions. The first and only model in the literature to reproduce the three-phase cycle of immune response in HIV/AIDS was based on cellular automata. Its results are extremely sensitive to infinitesimally small changes in parameters. Yet, no technique exists to study such variation in cellular automata. This research will provide new methods for prediction and analysis of such models. 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
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