Mathematical Methods for Next Generation Sequencing. The emergence of a new generation of high throughput genomic sequencing technologies is providing unprecedented opportunities for biological research. Hidden within the huge amounts of data generated by this technology is information about the expression and regulation of genes, and the complex functional purpose of non-coding, so called 'junk', DNA. Development of mathematical and statistical tools is essential to interpreting these data. The ....Mathematical Methods for Next Generation Sequencing. The emergence of a new generation of high throughput genomic sequencing technologies is providing unprecedented opportunities for biological research. Hidden within the huge amounts of data generated by this technology is information about the expression and regulation of genes, and the complex functional purpose of non-coding, so called 'junk', DNA. Development of mathematical and statistical tools is essential to interpreting these data. The proposed research will enhance Australia's reputation for developing novel quantitative techniques at the cutting edge of modern biology. The proposed project has a broad range of potential applications in biotechnology, particularly in the medical and agricultural industries.Read moreRead less
Statistical and Mathematical Analyses of Sequence and Array Data. Development of mathematical and statistical methods and tools in bioinformation science will ensure that Australia is at the cutting-edge of modern biology. This will enhance Australia's reputation for dealing with the exponentially growing body of genomic data emerging from life sciences laboratories throughout the world. The proposed project has a broad range of potential applications in biotechnology, particularly in the medic ....Statistical and Mathematical Analyses of Sequence and Array Data. Development of mathematical and statistical methods and tools in bioinformation science will ensure that Australia is at the cutting-edge of modern biology. This will enhance Australia's reputation for dealing with the exponentially growing body of genomic data emerging from life sciences laboratories throughout the world. The proposed project has a broad range of potential applications in biotechnology, particularly in the medical and agricultural industries. Examples include improvements to livestock, in plant breeding such as drought resistance, and better genetic disease diagnosis, including earlier cancer diagnosis, and personalised treatment.Read moreRead less
Sequence to Sequence: Rigorous Statistical and Mathematical Analysis of Biological Sequence Data. Comparative genomics is fundamental for developing an understanding of genes and their function. For example, using statistical and computational techniques, it was recently demonstrated that 60% of genes are conserved between fly and human. When the human gene that confers susceptibility to Parkinson's disease was transferred into the fly it caused symptoms similar to those seen in humans. The futu ....Sequence to Sequence: Rigorous Statistical and Mathematical Analysis of Biological Sequence Data. Comparative genomics is fundamental for developing an understanding of genes and their function. For example, using statistical and computational techniques, it was recently demonstrated that 60% of genes are conserved between fly and human. When the human gene that confers susceptibility to Parkinson's disease was transferred into the fly it caused symptoms similar to those seen in humans. The future development of 'personalized medicine' will rely upon understanding the function of human genes, as will progress in the agricultural sector. Rigorous statistical analysis and development of appropriate bioinformatic methods are crucial to biological sequence analysis in comparative genomics.Read moreRead less
Optimisation of piezoelectric metamaterials: Towards robotic stress sensors. This project aims to design new piezoelectric material microstructures that can enhance the measurement of complex local stress states within robotic limbs. The project expects to generate new knowledge of the achievable properties of multi-poled piezoelectric materials and develop computational tools for the analysis and structural optimisation of such materials. The designed microstructures may revolutionise piezoelec ....Optimisation of piezoelectric metamaterials: Towards robotic stress sensors. This project aims to design new piezoelectric material microstructures that can enhance the measurement of complex local stress states within robotic limbs. The project expects to generate new knowledge of the achievable properties of multi-poled piezoelectric materials and develop computational tools for the analysis and structural optimisation of such materials. The designed microstructures may revolutionise piezoelectric sensor technology. Expected outcomes include manufactured proof-of-concept sensors that enable measurement of local stress fields. This should provide significant benefits, such as improved future robot capability and reliability, and research training for next-generation Australian computational mathematicians. Read moreRead less
Solving inverse problems with Iterative regularisation and convex penalties. This project aims to develop and investigate new computational procedures for the solution of inverse problems which do not have the usual smoothness properties (or source conditions) required for the traditional regularisation methods. Examples of such inverse problems are very common and include image restoration, photo-acoustic tomography and spectroscopy. It is anticipated that this project will substantially extend ....Solving inverse problems with Iterative regularisation and convex penalties. This project aims to develop and investigate new computational procedures for the solution of inverse problems which do not have the usual smoothness properties (or source conditions) required for the traditional regularisation methods. Examples of such inverse problems are very common and include image restoration, photo-acoustic tomography and spectroscopy. It is anticipated that this project will substantially extend the toolbox of methods for such problems utilising ideas from Banach spaces, convex analysis, parallel computing and optimisation. This project is expected to make a substantial contribution to a better understanding of inverse problems and their solution procedures.Read moreRead less
Dynamic Analysis and Control for Hybrid Systems and Networks. Hybrid systems are now accepted as the best way to model many high-tech situations in transport, energy management, networking, household and industrial automation. This project will develop the theoretical tools needed to ensure such systems operate stably and efficiently despite imperfections and outside disturbances.
Invariants of singular spaces from noncommutative geometry. The project addresses questions of significance at the international forefront in the mathematical sciences and the ARC funds will enable research training of students and postdoctoral fellows at this very high level. International collaboration and networking is a key feature that will enhance Australia's scientific standing and provide opportunities for early career researchers to engage internationally with world leaders. The mainten ....Invariants of singular spaces from noncommutative geometry. The project addresses questions of significance at the international forefront in the mathematical sciences and the ARC funds will enable research training of students and postdoctoral fellows at this very high level. International collaboration and networking is a key feature that will enhance Australia's scientific standing and provide opportunities for early career researchers to engage internationally with world leaders. The maintenance of a high quality research program at ANU enhances Australia's ability to attract international students and places the ANU in the top league of world universities. It brings with it recognition of Australia as a culturally advanced nation.Read moreRead less
Linear Dynamical Quantum Networks: Synthesis and Control. Australia is recognized as a leader in the international race to develop quantum technologies of the future. This project will strengthen Australia's profile in quantum technology engineering by developing a new theory for building arbitrary complex linear quantum mechanical control systems for control tasks in quantum technology, and presenting new control system design tools to support high performance quantum communication systems. The ....Linear Dynamical Quantum Networks: Synthesis and Control. Australia is recognized as a leader in the international race to develop quantum technologies of the future. This project will strengthen Australia's profile in quantum technology engineering by developing a new theory for building arbitrary complex linear quantum mechanical control systems for control tasks in quantum technology, and presenting new control system design tools to support high performance quantum communication systems. The project outcomes together with advances in experimental physics are anticipated to play an important role in the long term as enablers of viable quantum technologies that can provide new commercial opportunities for Australian hi-tech industries to benefit Australia's economy in the future.Read moreRead less
Measurement Feedback Control of Nonlinear and Quantum Systems. The purpose of control systems is to regulate the behaviour of a diverse range of engineering systems including those found in aerospace, manufacturing and telecommunications, as well as in important emerging fields including quantum technology. The aim of this project is to develop measurement feedback design methodologies for systems modelled by nonlinear or quantum dynamics. The project is motivated by the need for systematic meth ....Measurement Feedback Control of Nonlinear and Quantum Systems. The purpose of control systems is to regulate the behaviour of a diverse range of engineering systems including those found in aerospace, manufacturing and telecommunications, as well as in important emerging fields including quantum technology. The aim of this project is to develop measurement feedback design methodologies for systems modelled by nonlinear or quantum dynamics. The project is motivated by the need for systematic methods for robust control system design. A central issue concerns suitable representation and use of measurement information for feedback control.Read moreRead less