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Field of Research : Applied Mathematics
Australian State/Territory : NSW
Socio-Economic Objective : Biological sciences
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  • Funded Activity

    Linkage - International - Grant ID: LX0348218

    Funder
    Australian Research Council
    Funding Amount
    $30,300.00
    Summary
    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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    Funded Activity

    Discovery Projects - Grant ID: DP0987302

    Funder
    Australian Research Council
    Funding Amount
    $614,870.00
    Summary
    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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    Funded Activity

    Discovery Projects - Grant ID: DP0559268

    Funder
    Australian Research Council
    Funding Amount
    $263,000.00
    Summary
    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.
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    Funded Activity

    Discovery Projects - Grant ID: DP0345968

    Funder
    Australian Research Council
    Funding Amount
    $240,000.00
    Summary
    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.
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    Funded Activity

    Discovery Projects - Grant ID: DP0877816

    Funder
    Australian Research Council
    Funding Amount
    $290,000.00
    Summary
    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.
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