Mathematical models and bioinformatic analyses of bacterial genome evolution. Bacteria are vital agents in earth's biosphere, breaking down and synthesising a wide variety of compounds. Some bacteria cause disease; others are exploited for a range of biotechnological applications. Bacteria have a remarkable ability to survive and thrive in changing conditions. For example, pathogenic bacteria confronted by antibiotics easily evolve resistance to them. With the reality of climate change, we expec ....Mathematical models and bioinformatic analyses of bacterial genome evolution. Bacteria are vital agents in earth's biosphere, breaking down and synthesising a wide variety of compounds. Some bacteria cause disease; others are exploited for a range of biotechnological applications. Bacteria have a remarkable ability to survive and thrive in changing conditions. For example, pathogenic bacteria confronted by antibiotics easily evolve resistance to them. With the reality of climate change, we expect more rapid shifts in the structure of bacterial communities, possibly leading to the emergence of new pathogens. The benefits of this project are to discover how the genetic structure of bacteria confer this flexibility, and to help keep Australia at the forefront of research in bioinformatics and mathematical biology.
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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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Multiscale modelling: Applications to the Biomedical Sciences. 1) Significant reductions in the costs of developing pharmaceutical treatments, 2) Substantial reduction in hospitalisation costs, 3) Improved treatment of wounds, a significant cause of chronic ill-health which presently costs the Australian HealthCare System A$500,000,000/year.
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
Mathematical modelling can provide vital information on the effectiveness and practical implementation of microbicides and vaccines against HIV. This project will produce mathematical models of the earliest stages of HIV infection suitable for investigation of the implementation of vaccines and microbicides. It will provide a framework to investigate why these interventions have performed poorly to date, and how these may be better implemented.
Innovative mathematical modelling to determine incorporation of gene therapy in different cell lineages; Human Immunodeficiency Virus (HIV) as a model setting. Gene therapy is a promising therapeutic that is being developed to address genetic diseases and viral infections such as Human Immunodeficiency Virus (HIV). This project will produce mathematical models of how gene therapy delivered to one type of cell can differentiate into the desired end target and impact disease.
Human longevity: Modelling social changes that propelled its evolution. The project plans to simulate behavioural and social changes that could have driven the evolution of human longevity past the end of female menopause. The aims are to develop a mathematical framework for modelling complex organisation in a population in terms of fundamental social units and to qualitatively evaluate the relative importance of these social units in potentially driving human evolution from the ancestral state. ....Human longevity: Modelling social changes that propelled its evolution. The project plans to simulate behavioural and social changes that could have driven the evolution of human longevity past the end of female menopause. The aims are to develop a mathematical framework for modelling complex organisation in a population in terms of fundamental social units and to qualitatively evaluate the relative importance of these social units in potentially driving human evolution from the ancestral state. Such models may enable us to compare two prominent and opposing hypotheses of the evolution of human longevity: the Grandmother Hypothesis and the Hunting Hypothesis.Read moreRead less
The mathematics of stochastic transport and signalling in cells. The project aims to develop new stochastic mathematical models of the dynamics of protein transport and cell signalling. The mathematics will link macro scale biological observations to micro scale molecular movements to characterise the relative role that different components and processes play. Expected outcomes are robust mathematical analyses of the transient dynamics of closed, finite capacity queueing networks and biological ....The mathematics of stochastic transport and signalling in cells. The project aims to develop new stochastic mathematical models of the dynamics of protein transport and cell signalling. The mathematics will link macro scale biological observations to micro scale molecular movements to characterise the relative role that different components and processes play. Expected outcomes are robust mathematical analyses of the transient dynamics of closed, finite capacity queueing networks and biological insight into the major control mechanisms in cellular insulin signalling. The project should provide significant benefits via the delivery of new mathematical tools and analysis for stochastic networks, impacting our understanding of metabolic transport, and providing interdisciplinary research training.Read moreRead less