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
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
Non-commutative Fractal Geometry: New Invariants. This project capitilises on Australian strengths in mathematics, particularly non-commutative and fractal geometry. It will maintain and extend Australia's prominence in these subjects, providing excellent training and opportunities for young researchers. Given the wide range of applications of fractals, there is potential for future technological spin offs for Australia.
Classification of Microarray Gene-Expression Data. The broad aim is to provide statistical methodology for the classification of microarray gene-expression data. Microarrays are part of a new biotechnology that allows the monitoring of expression levels for thousands of genes simultaneously. The explosion in microarrays has produced massive quantities of data that require new statistical techniques for analysis in order to exploit their enormous scientific potential. One of the main uses of ....Classification of Microarray Gene-Expression Data. The broad aim is to provide statistical methodology for the classification of microarray gene-expression data. Microarrays are part of a new biotechnology that allows the monitoring of expression levels for thousands of genes simultaneously. The explosion in microarrays has produced massive quantities of data that require new statistical techniques for analysis in order to exploit their enormous scientific potential. One of the main uses of the methodology to be developed is to expedite the discovery of new subclasses of diseases. Another is to provide prediction rules for the diagnosis and treatment of diseases.Read moreRead less