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Research Topic : Logic
Field of Research : Biological Mathematics
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  • Funded Activity

    Discovery Projects - Grant ID: DP0208534

    Funder
    Australian Research Council
    Funding Amount
    $465,483.00
    Summary
    Mutagenesis and combinatorial algorithms for sequencing problematic genomic regions. This project will develop a remarkable and original approach to DNA sequencing with potential to radically improve the speed, accuracy and effectiveness of existing sequencing technologies. It is especially useful for dealing with difficult-to-sequence genomic regions and has implications for all sequencing projects, including completion of the Human Genome Project. The approach involves generating, and wholly o .... Mutagenesis and combinatorial algorithms for sequencing problematic genomic regions. This project will develop a remarkable and original approach to DNA sequencing with potential to radically improve the speed, accuracy and effectiveness of existing sequencing technologies. It is especially useful for dealing with difficult-to-sequence genomic regions and has implications for all sequencing projects, including completion of the Human Genome Project. The approach involves generating, and wholly or partially sequencing, mutated copies of problematic regions of the target genome. Advanced combinatorial algorithms are then used to form highly probable alignments between strings and determine the unknown sequence. The approach has additional benefits in detecting single-nucleotide polymorphisms and sequencing errors.
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    Funded Activity

    Discovery Projects - Grant ID: DP0210416

    Funder
    Australian Research Council
    Funding Amount
    $290,000.00
    Summary
    Emerging applications of advanced computational methods and discrete mathematics. Ongoing improvements in computer performance are revolutionising research in combinatorial discrete mathematics, and leading to exciting new applications in information technology and the biological and chemical sciences. As a result, substantial international research effort, both at universities and in commercial and industrial organisations, is being channelled into high-performance computation and theoretical p .... Emerging applications of advanced computational methods and discrete mathematics. Ongoing improvements in computer performance are revolutionising research in combinatorial discrete mathematics, and leading to exciting new applications in information technology and the biological and chemical sciences. As a result, substantial international research effort, both at universities and in commercial and industrial organisations, is being channelled into high-performance computation and theoretical problems in combinatorial mathematics. Our aim is to develop and apply advanced computational methods through the study of several unsolved theoretical problems in design theory and practical problems in exact matrix computation and drug design.
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    Funded Activity

    Discovery Projects - Grant ID: DP0878939

    Funder
    Australian Research Council
    Funding Amount
    $230,000.00
    Summary
    A new theory for retinotectal map formation. How brains become wired up during development is a question of importance to both biology and computing. In this project we adopt a novel computational approach to understanding the development of topographic maps, a wiring pattern that is ubiquitous in biological nervous systems. This project will build capacity for research in computational neuroscience in Australia. It may also lead to technological benefits such as new ideas for the design o .... A new theory for retinotectal map formation. How brains become wired up during development is a question of importance to both biology and computing. In this project we adopt a novel computational approach to understanding the development of topographic maps, a wiring pattern that is ubiquitous in biological nervous systems. This project will build capacity for research in computational neuroscience in Australia. It may also lead to technological benefits such as new ideas for the design of self-wiring computing devices, and new insights into the causes of wiring defects both during normal development and rewiring after injury.
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    Funded Activity

    Discovery Projects - Grant ID: DP0666126

    Funder
    Australian Research Council
    Funding Amount
    $341,000.00
    Summary
    Wiring up the nervous system: how do axons detect molecular gradients? This project will improve our understanding of how the nervous system becomes wired up during development. This will ultimately allow better therapies for some types of developmental disorders, and for repairing damaged connections for instance in the spinal cord. The theoretical models developed will improve our understanding of the computations necessary to generate appropriate wiring of the nervous system, which may .... Wiring up the nervous system: how do axons detect molecular gradients? This project will improve our understanding of how the nervous system becomes wired up during development. This will ultimately allow better therapies for some types of developmental disorders, and for repairing damaged connections for instance in the spinal cord. The theoretical models developed will improve our understanding of the computations necessary to generate appropriate wiring of the nervous system, which may facilitate the development of self-organizing computing devices. The project will also provide unique research training at the interface of biology and computation, building capacity for such interdisciplinary research throughout Australia.
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    Funded Activity

    Linkage - International - Grant ID: LX0453416

    Funder
    Australian Research Council
    Funding Amount
    $35,000.00
    Summary
    The fundamental structure of combinatorial configurations. Combinatorial configurations are fundamental mathematical tools used to model physical problems in the information sciences. Combinatorial trades arise from the differences between combinatorial configurations. They uniquely determine the underlying structure of the configuration and are central to the determination of defining sets. With this proposal we shall study the existence, properties and applications of combinatorial trades and .... The fundamental structure of combinatorial configurations. Combinatorial configurations are fundamental mathematical tools used to model physical problems in the information sciences. Combinatorial trades arise from the differences between combinatorial configurations. They uniquely determine the underlying structure of the configuration and are central to the determination of defining sets. With this proposal we shall study the existence, properties and applications of combinatorial trades and the associated defining sets. Our results will have applications in the areas of biotechnology, information systems, information security and experimental design.
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    Funded Activity

    Discovery Projects - Grant ID: DP0453249

    Funder
    Australian Research Council
    Funding Amount
    $255,000.00
    Summary
    Pattern Recognition and Interpretation in Sequence Data. With the recent advances in sequencing technology, the amount of biological sequence data available has increased tremendously. Extraction of knowledge from such data has lagged behind, awaiting the development of new automated methods for extracting meaning from the sequences. This project aims to develop fast and flexible algorithms for discovery of patterns in DNA and protein sequence data and to find families of sequences that share si .... Pattern Recognition and Interpretation in Sequence Data. With the recent advances in sequencing technology, the amount of biological sequence data available has increased tremendously. Extraction of knowledge from such data has lagged behind, awaiting the development of new automated methods for extracting meaning from the sequences. This project aims to develop fast and flexible algorithms for discovery of patterns in DNA and protein sequence data and to find families of sequences that share similar patterns. Association of these patterns with features of 3-dimensional structures of protein families and their functional characteristics can contribute towards the understanding of the relationship between primary structure and function of a protein.
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