Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expe ....Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expected that the new techniques generated will find further application in areas of mathematical physics and non-commutative geometry related to quantized calculus.
Read moreRead less
Non-commutative analysis and differential calculus. This project is in an area of central mathematical importance and will lead to important scientific advances that will keep Australia at the forefront internationally in this field of research. There is an emphasis on international networking and we will collaborate with leading researchers in USA and France.
Option pricing via path integrals: a new perspective. The risk management of derivative securities is a very exciting challenge for financial market researchers. The knowledge base resulting from this proposal will benefit both large financial institutions and Australia's financial system by creating a more competitive and efficient economic environment, which will inevitably lead to more gross domestic product (GDP) gains.Furthermore a large amount of software and numerical analysis work to be ....Option pricing via path integrals: a new perspective. The risk management of derivative securities is a very exciting challenge for financial market researchers. The knowledge base resulting from this proposal will benefit both large financial institutions and Australia's financial system by creating a more competitive and efficient economic environment, which will inevitably lead to more gross domestic product (GDP) gains.Furthermore a large amount of software and numerical analysis work to be developed during the project can be turned into IP for Australia. This will contribute to catalysing development of internationally competitive financial risk management software industry.Read moreRead less
Hidden complexity in microRNA function. This project aims to determine the extent to which microRNAs function through “non-canonical” mechanisms within cell nuclei, how their roles are expanded by naturally occurring sequence variation and how their activity is controlled by little known families of genes that sequester and inhibit their availability. The knowledge generated is significant as microRNAs regulate the expression of virtually all genes and biological processes, yet these mechanisms ....Hidden complexity in microRNA function. This project aims to determine the extent to which microRNAs function through “non-canonical” mechanisms within cell nuclei, how their roles are expanded by naturally occurring sequence variation and how their activity is controlled by little known families of genes that sequester and inhibit their availability. The knowledge generated is significant as microRNAs regulate the expression of virtually all genes and biological processes, yet these mechanisms of function remain poorly characterised and seldom considered. The expected outcome of better understanding mechanisms through which microRNAs work should provide significant benefit to safe and effective development of microRNAs for future agricultural or therapeutic application.Read moreRead less
Transcriptional regulation by microRNAs. This project aims to better understand microRNAs, which are of central importance to how genes are regulated. Despite recent data indicating microRNAs may also play more extensive and diverse roles as nuclear regulators of gene transcription, research has been restricted to their well known mechanism of action in the cytoplasm where they post transcriptionally silence genes. This project will investigate the potential for microRNAs to regulate transcripti ....Transcriptional regulation by microRNAs. This project aims to better understand microRNAs, which are of central importance to how genes are regulated. Despite recent data indicating microRNAs may also play more extensive and diverse roles as nuclear regulators of gene transcription, research has been restricted to their well known mechanism of action in the cytoplasm where they post transcriptionally silence genes. This project will investigate the potential for microRNAs to regulate transcription on a genome-wide scale and will thereby reveal the full extent of mechanisms by which these important genetic switches control gene expression networks the characteristics of cells. This is of fundamental significance to our understanding of gene regulation.Read moreRead less
Spatio-temporal activation of genes in cells and mice. This project aims to develop novel genetic methods and instrumentation for the local, rapid and reversible activation of genes in cells and mice. This project expects to generate highly innovative light- and sound-based technologies that will permit to study living systems on the gene-level with unprecedented precision. Expected outcomes include new research and technology capacity to broadly address fundamental biological questions and to c ....Spatio-temporal activation of genes in cells and mice. This project aims to develop novel genetic methods and instrumentation for the local, rapid and reversible activation of genes in cells and mice. This project expects to generate highly innovative light- and sound-based technologies that will permit to study living systems on the gene-level with unprecedented precision. Expected outcomes include new research and technology capacity to broadly address fundamental biological questions and to create new applied processes. This project intends to provide significant benefits, such as enhanced knowledge generation, multidisciplinary training opportunities and patentable technologies.Read moreRead less
Nonlinear spatial and spatiotemporal econometrics: theory with applications. Modern societies like Australia have major challenges in the forecasting, measuring and managing of risks associated with global economic and environmental/climate changes. These tasks require advanced econometric techniques in modelling and forecasting of complex nonlinear spatiotemporal variability in economic and social systems. This project will develop frontier econometric technologies that enable more accurate eco ....Nonlinear spatial and spatiotemporal econometrics: theory with applications. Modern societies like Australia have major challenges in the forecasting, measuring and managing of risks associated with global economic and environmental/climate changes. These tasks require advanced econometric techniques in modelling and forecasting of complex nonlinear spatiotemporal variability in economic and social systems. This project will develop frontier econometric technologies that enable more accurate economic and climate forecasts. The tools produced will provide Australia's scientists and policy-makers with a greater capacity to manage the risks associated with these challenges. A side-benefit of the research will be high-quality publications that enhance the nation's reputation in this cutting edge research.Read moreRead less
Operator-Analytic Methods in Telecommunication Systems. Many systems in information technology and telecommunications evolve under conditions of uncertainty. In this context, mathematical modelling is an essential component of the design process. We shall provide techniques for analysing a class of mathematical models, called operator-analytic models, which can be used to study many of the above-mentioned systems, such as the Internet. This project will deliver efficient numerical algorithms tha ....Operator-Analytic Methods in Telecommunication Systems. Many systems in information technology and telecommunications evolve under conditions of uncertainty. In this context, mathematical modelling is an essential component of the design process. We shall provide techniques for analysing a class of mathematical models, called operator-analytic models, which can be used to study many of the above-mentioned systems, such as the Internet. This project will deliver efficient numerical algorithms that will make possible practical analysis of operator-analytic models.Read moreRead less
The Male Partner Contribution To Pregnancy Immune Tolerance Deficit In Women
Funder
National Health and Medical Research Council
Funding Amount
$1,462,925.00
Summary
A complication-free pregnancy and birth of a healthy infant depends on adequate preparation of the mother's immune system to tolerate the 'foreign' fetus, Both the mother and the father contribute to establishing optimal immune tolerance. This project will determine the links between specific agents in male seminal fluid and the female immune response, and will make progress towards new diagnostic tests and treatment options for unexplained subfertility and gestational disorders.
Molecular Profiling Of The Immunoglobulin Proteome In Primary Sjögren’s Syndrome
Funder
National Health and Medical Research Council
Funding Amount
$322,460.00
Summary
Primary Sjögren’s syndrome is a common autoimmune disease. The patients have high levels of circulating immunoglobulins (Igs) in their blood-a hallmark of the disorder. The applicant proposes to sequence these Igs and identify their so-called variable region molecular signatures. These signatures can then be used in a mass spectrometric-based diagnostic platform to identify unique clones in patients as early markers of the disease process, and hopefully lead to more relevant diagnostic markers.