New mathematics of fractional diffusion for understanding cognitive impairment at the neuronal level. As Australia's population ages, cognitive impairment due to cortical ageing and neurodegeneration is looming as the nation's greatest health problem. The project will deliver new, more realistic, mathematical models for a mechanistic understanding of cognitive impairment at the neuronal level. This understanding is a vital first step in targeting drugs, e.g., to influence neuronal spine proper ....New mathematics of fractional diffusion for understanding cognitive impairment at the neuronal level. As Australia's population ages, cognitive impairment due to cortical ageing and neurodegeneration is looming as the nation's greatest health problem. The project will deliver new, more realistic, mathematical models for a mechanistic understanding of cognitive impairment at the neuronal level. This understanding is a vital first step in targeting drugs, e.g., to influence neuronal spine properties, for preventative health care. The project will maintain international collaborations, between applied mathematicians at UNSW, Sydney and biomathematicians and neuroscientists at Mount Sinai School of Medicine, New York, providing ongoing training opportunities for Australian scientists in this cutting edge biomathematical research.Read moreRead less
Mathematical measurement and modelling of neuronal degeneration. Currently about 150,000 Australian's suffer from cognitive impairment due to Alzheimer's disease or dementia and this number is expected to double over the next few decades. By combining newly developed mathematical methods in complex systems with sophisticated neural imaging we will develop new techniques to advance the diagnosis and treatment of cognitive decline in normal ageing and neurodegenerative disease.
This project will ....Mathematical measurement and modelling of neuronal degeneration. Currently about 150,000 Australian's suffer from cognitive impairment due to Alzheimer's disease or dementia and this number is expected to double over the next few decades. By combining newly developed mathematical methods in complex systems with sophisticated neural imaging we will develop new techniques to advance the diagnosis and treatment of cognitive decline in normal ageing and neurodegenerative disease.
This project will also maintain the collaborative link between researchers in Biomathematics at Mount Sinai School of Medicine, New York and researchers in Applied Mathematics at UNSW that enables training of Australian scientists in the vital area of mathematical bio-complexity.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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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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Analysing Instabilities in Complex Combustion Models for Different Geometrical Configurations. Anyone who has gazed into a fire will appreciate the complexity of combustion. To date only the simplest of models have been comprehensively analysed. This project, which aims to analyse more complex combustion models, will address some of the fundamental issues of combustion theory. Results from this project will lead to a better understanding of combustion processes, with the potential to prevent exp ....Analysing Instabilities in Complex Combustion Models for Different Geometrical Configurations. Anyone who has gazed into a fire will appreciate the complexity of combustion. To date only the simplest of models have been comprehensively analysed. This project, which aims to analyse more complex combustion models, will address some of the fundamental issues of combustion theory. Results from this project will lead to a better understanding of combustion processes, with the potential to prevent explosions in reactors and storage tanks. Other potential applications range from bushfires to the manufacture of exotic materials. Furthermore, the novel mathematical techniques developed in this project can be easily adapted to other types of systems such as those used in biology (eg. epidemiology and tumour growth), economics, physics etc. Read moreRead less
Special Research Initiatives - Grant ID: SR0354623
Funder
Australian Research Council
Funding Amount
$20,000.00
Summary
Network for Australian security technologies integration. The frontline of community safety is security technologies which include sensors to track movements and conversations of suspects; signal processing techniques for extracting information; intelligent search/audit techniques to track financial transactions; analysis techniques for predicting the spread of epidemic; and above all human factors in security operations. The aim of this initiative is to establish a network for "safeguarding Aus ....Network for Australian security technologies integration. The frontline of community safety is security technologies which include sensors to track movements and conversations of suspects; signal processing techniques for extracting information; intelligent search/audit techniques to track financial transactions; analysis techniques for predicting the spread of epidemic; and above all human factors in security operations. The aim of this initiative is to establish a network for "safeguarding Australia". This network, built on the concept of "network of networks", draws on the expertise of researchers and practitioners from diverse fields to provide an integrated approach towards development and use of security technologies for the safety of the community.Read moreRead less
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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Diffusion driven pattern formation and signal propagation in spatially complex excitable media. A basic understanding of the mechanisms for pattern formation, from the spots on leopards to electrical signalling of neurons, has been achieved through reaction-diffusion equations. However to obtain a complete understanding, which is vital for many applications, it is necessary to modify this mathematical model to incorporate spatial complexities in the underlying media. This project will develop ....Diffusion driven pattern formation and signal propagation in spatially complex excitable media. A basic understanding of the mechanisms for pattern formation, from the spots on leopards to electrical signalling of neurons, has been achieved through reaction-diffusion equations. However to obtain a complete understanding, which is vital for many applications, it is necessary to modify this mathematical model to incorporate spatial complexities in the underlying media. This project will develop a fractional calculus framework for pattern formation, including signal propagation, in spatially complex and excitable media. In a particular application we will model the way in which the signalling properties of neurons depend critically on their spatial complexity.Read moreRead less