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
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.
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
Understanding mutation and genetic reassortment in viruses: new mathematical models of viral dynamics and evolution. This project aims to understand how evolutionary processes and ecological conditions combine to ignite and sustain viral epidemics. Using novel mathematical models and statistical methods we will study the manner in which viral genes mutate and are recombined, as well as the rates of these important forces.
Social insect behaviour: the importance of individual-decision making and information transfer. Insect societies are complex systems. Understanding complex systems is often hampered by our inability to study the individual units that comprise the system without also disturbing the system. Insect societies are unique in that the individual insects can be studied within their natural setting. This project will study foraging behaviour of honey bees with respect to individual decision-making and in ....Social insect behaviour: the importance of individual-decision making and information transfer. Insect societies are complex systems. Understanding complex systems is often hampered by our inability to study the individual units that comprise the system without also disturbing the system. Insect societies are unique in that the individual insects can be studied within their natural setting. This project will study foraging behaviour of honey bees with respect to individual decision-making and information transfer. In doing so we will obtain insights in the working of other, less accessible, complex systems such as the mammalian brain or the Australian economy.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