Skin penetration of nanoparticles promoted by particle design, formulation and application method. This project seeks to better define the determinants of nanoparticle skin penetration and subsequent disposition in the body. The data would be used to guide minimal skin penetration of 'undesirable' nanoparticles and the properties required of 'safe' nanoparticles to enable effective human skin delivery in cosmetic and dermatological products.
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.
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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
Ultrafast, near infrared laser sources using fibre-based optical parametric oscillators. This project will use microstructured optical fibres and nonlinear optics to create compact and cheap laser sources in the near infrared spectrum to replace the bulky and expensive devices in many spectroscopic and biophotonic applications today. The work will further enhance Australia's standing in the field of nonlinear optics and optical fibres.
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
Nonlinear Panel Data Econometrics: Theory and Practice. This research addresses the ARC National Research Priorities Goal of 'An Environmentally Sustainable Australia', specifically 'Reducing and capturing emissions in transport and energy generation'. Avoiding, managing, and/or adapting to the climate change impacts is now the most pressing global environmental problem. This project will produce tangible and original insights into policy options for institutional adjustment to future climate ....Nonlinear Panel Data Econometrics: Theory and Practice. This research addresses the ARC National Research Priorities Goal of 'An Environmentally Sustainable Australia', specifically 'Reducing and capturing emissions in transport and energy generation'. Avoiding, managing, and/or adapting to the climate change impacts is now the most pressing global environmental problem. This project will produce tangible and original insights into policy options for institutional adjustment to future climate change in Australia; will provide insight into the scope for positive community behavioural change; and possible transformations in Australian social debate to maximise adaptive capacity. It will also strengthen and produce original conceptual approaches and research methods.Read moreRead less
Novel geometric invariants. Quantum theory is the language of fundamental physics, it describes the small scale structure of matter and possibly space-time. Sophisticated models in condensed matter physics and string theory have exposed geometric and topological structure as basic building blocks of the theory. Issues thrown up by quantum theory are very similar to, and have provided techniques to solve, problems in the geometry of three and four dimensional manifolds. Exciting two way exchanges ....Novel geometric invariants. Quantum theory is the language of fundamental physics, it describes the small scale structure of matter and possibly space-time. Sophisticated models in condensed matter physics and string theory have exposed geometric and topological structure as basic building blocks of the theory. Issues thrown up by quantum theory are very similar to, and have provided techniques to solve, problems in the geometry of three and four dimensional manifolds. Exciting two way exchanges of methods, problems and solutions have emerged. This project aims to settle fundamental questions in the interaction between these two fields.Read moreRead less
Novel source of excited metastable atoms for Atom Trap Trace Analysis. This project aims to understand and to control light-induced processes in atoms by using finely shaped and tailored laser pulses, focusing on efficient production of excited metastable atoms. This is critical for efficient Atom Trap Trace Analysis, the most advanced technique for dating ground water and geological samples. Expected outcomes of this project include new and enhanced knowledge of physics of light-matter interact ....Novel source of excited metastable atoms for Atom Trap Trace Analysis. This project aims to understand and to control light-induced processes in atoms by using finely shaped and tailored laser pulses, focusing on efficient production of excited metastable atoms. This is critical for efficient Atom Trap Trace Analysis, the most advanced technique for dating ground water and geological samples. Expected outcomes of this project include new and enhanced knowledge of physics of light-matter interactions, developing an efficient, clean source of excited metastable atoms, and integrating that source into the Australian National Facility for dating geological samples. This should provide significant benefits, such as significant improvement of operational efficiency and productivity of that facility.Read moreRead less