ARC Complex Open Systems Research Network. Complexity is the common frontier in the physical, biological and social sciences. This Network will link specialists in all three sciences through five generic conceptual and mathematical theme activities. It will promote research into how subsystems self-organise into new emergent structures when assembled into an open, non-equilibrium system. Outcomes will include new technologies and software tools and deeper understanding of fundamental questions i ....ARC Complex Open Systems Research Network. Complexity is the common frontier in the physical, biological and social sciences. This Network will link specialists in all three sciences through five generic conceptual and mathematical theme activities. It will promote research into how subsystems self-organise into new emergent structures when assembled into an open, non-equilibrium system. Outcomes will include new technologies and software tools and deeper understanding of fundamental questions in science. An essential function of the network will be introducing researchers end users to new tools and broadening the horizons of graduate students.Read moreRead less
Material boundaries in ultrasonics: New methods and in vitro studies in biomedical phantoms. Ultrasound is an indispensable part of healthcare worldwide. The next wave of applications will see ultrasound pulses used to closely probe suspected disease sites and to directly manipulate bioactive agents. For safe and effective use of such techniques it is essential to know the ultrasound field at the disease site. This project will develop simulation methods to achieve the fast, accurate and case-sp ....Material boundaries in ultrasonics: New methods and in vitro studies in biomedical phantoms. Ultrasound is an indispensable part of healthcare worldwide. The next wave of applications will see ultrasound pulses used to closely probe suspected disease sites and to directly manipulate bioactive agents. For safe and effective use of such techniques it is essential to know the ultrasound field at the disease site. This project will develop simulation methods to achieve the fast, accurate and case-specific results required. Community healthcare will benefit, through better diagnostic capabilities and customized treatment. Australia is well placed to profit further from this research, in view of the growing worldwide demand for more sophisticated, knowledge-based techniques in medicine.Read moreRead less
The effect of vessel wall structures on ultrasonic flow velocity measurements. The flow velocity within a nearly cylindrical vessel is often measured using an external ultrasound transducer via the Doppler principle. Thick vessel walls may present acoustically mismatched structures. This project aims to determine how such walls redistribute the energy in an interrogating ultrasound beam, and how this in turn affects the measurement of flow velocities. This is a fundamental issue, especially imp ....The effect of vessel wall structures on ultrasonic flow velocity measurements. The flow velocity within a nearly cylindrical vessel is often measured using an external ultrasound transducer via the Doppler principle. Thick vessel walls may present acoustically mismatched structures. This project aims to determine how such walls redistribute the energy in an interrogating ultrasound beam, and how this in turn affects the measurement of flow velocities. This is a fundamental issue, especially important in vascular disease where blood flow and blood vessels are affected by wall irregularities and lesions. The new knowledge generated by this project will have practical importance and, by identifying achievable outcomes, potentially major cost savings, in medical ultrasound.Read moreRead less
Special Research Initiatives - Grant ID: SR0354741
Funder
Australian Research Council
Funding Amount
$10,000.00
Summary
Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies. This Initiative will bring together leading researchers with complementary expertise in mathematics and the enabling sciences to form a Network fostering world leading fundamental research and innovation in quantum many-body systems. The collaborative effort between mathematicians with powerful and sophisticated new techniques and physicists and chemists with deep insight into the challenges and opportunities of t ....Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies. This Initiative will bring together leading researchers with complementary expertise in mathematics and the enabling sciences to form a Network fostering world leading fundamental research and innovation in quantum many-body systems. The collaborative effort between mathematicians with powerful and sophisticated new techniques and physicists and chemists with deep insight into the challenges and opportunities of the quantum realm will lead to breakthrough science of vital importance to the development of frontier technologies in Australia. This Network will also place a strong emphasis on research training, the mentoring of early career researchers and establishing collaborations with leading international research groups and networks.
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New regularisation techniques in electromagnetic diffraction from cavities and related complex scatterers. Modern technology, such as radar and other imaging devices, exploits the information carried by electromagnetic waves. New technology depends centrally upon advances in the mathematics of waves to give precise, reliable and effective means of predicting how objects capture and re-radiate wave energy in the scattering environment. This project aims to develop a new mathematical approach to w ....New regularisation techniques in electromagnetic diffraction from cavities and related complex scatterers. Modern technology, such as radar and other imaging devices, exploits the information carried by electromagnetic waves. New technology depends centrally upon advances in the mathematics of waves to give precise, reliable and effective means of predicting how objects capture and re-radiate wave energy in the scattering environment. This project aims to develop a new mathematical approach to wave scattering by objects with complex scattering mechanisms, as typified by cavity structures. This new formulation is obtained by a process of analytical regularisation of the equations describing the scattering process. It generates algorithms more reliable and computationally accurate than current codes.
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Efficient Operation of Bioreactors using Nonlinear Dynamical Systems Theory. Current methods of determining optimal operating conditions in bioreactors have recently been shown to be inefficient, resulting in serious omissions of crucial parameter regions. We will use mathematical techniques from dynamical systems theory to establish a general framework by which bioreactor systems can be efficiently and systematically investigated to improve reactor performance. By communicating these results at ....Efficient Operation of Bioreactors using Nonlinear Dynamical Systems Theory. Current methods of determining optimal operating conditions in bioreactors have recently been shown to be inefficient, resulting in serious omissions of crucial parameter regions. We will use mathematical techniques from dynamical systems theory to establish a general framework by which bioreactor systems can be efficiently and systematically investigated to improve reactor performance. By communicating these results at relevant fora, we will increase the awareness within the Australian and international engineering communities of the advantages of modern mathematical techniques. Although this proposal focuses on bioreactors, the techniques can be easily adapted to improve the performances of other chemical processes.
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Many-body problems. The discovery of new superheavy elements, chemical evolution of the Universe, nuclear reactions deep under the Coulomb barrier in nuclear reactors, in stars and during the Big Bang Nucleosynthesis, accuracy of precise atomic clocks, consistency of the Standard Model in strong fields are among the most vital problems of modern science. This project suggests several new ideas in these areas, which are based on knowledge accumulated in different research fields. The outcomes of ....Many-body problems. The discovery of new superheavy elements, chemical evolution of the Universe, nuclear reactions deep under the Coulomb barrier in nuclear reactors, in stars and during the Big Bang Nucleosynthesis, accuracy of precise atomic clocks, consistency of the Standard Model in strong fields are among the most vital problems of modern science. This project suggests several new ideas in these areas, which are based on knowledge accumulated in different research fields. The outcomes of the research will help Australia to build up a "critical mass" of scientific expertise, which is necessary to place and keep it among leaders in these frontier areas of physics, and to train the next generation of experts in these fields.Read moreRead less
Classical and affine W-algebras. The project aims to address major mathematical problems on representations of the families of quantum groups and vertex algebras associated with Lie algebras. It aims to create new connections between representation theory and mathematical physics. The theory of quantum groups originated from solvable lattice models in statistical mechanics and has turned out to have important connections with and applications to a wide range of subjects in mathematics and physic ....Classical and affine W-algebras. The project aims to address major mathematical problems on representations of the families of quantum groups and vertex algebras associated with Lie algebras. It aims to create new connections between representation theory and mathematical physics. The theory of quantum groups originated from solvable lattice models in statistical mechanics and has turned out to have important connections with and applications to a wide range of subjects in mathematics and physics. The project aims to rely on these connections to extend and develop explicit theory of both the classical and quantum versions of the vertex algebras which are of great importance to conformal field theory and soliton spin chain models.Read moreRead less
Vertex algebras and representations of quantum groups. The project will tackle mathematical problems involving algebraic structures that have fascinated scientists for several decades, and which are of fundamental importance to theoretical physics. The research will attract talented PhD students and visiting researchers, and will enhance Australia's scientific reputation.
Microwave Antennas and Waveguides in Photonic Crystals. We propose to design a revolutionary new class of microwave antennas and antenna arrays in photonic crystals, which can shield, localise and guide electromagnetic radiation in a dielectric environment. This design is completely devoid of metal, thereby eliminating skin-effect losses that are the dominant limitation for planar antenna arrays at upper microwave (millimetre-wave) frequencies. Our new design will achieve high radiation efficie ....Microwave Antennas and Waveguides in Photonic Crystals. We propose to design a revolutionary new class of microwave antennas and antenna arrays in photonic crystals, which can shield, localise and guide electromagnetic radiation in a dielectric environment. This design is completely devoid of metal, thereby eliminating skin-effect losses that are the dominant limitation for planar antenna arrays at upper microwave (millimetre-wave) frequencies. Our new design will achieve high radiation efficiencies and antenna gains not possible with existing planar technology, thereby enabling new applications of planar antenna arrays, for example to radio astronomy, as well as greatly improving existing applications.Read moreRead less