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Making the most of remotely sensed data: Bayesian spatio-temporal models for enhanced natural resource management and design. This research will provide methods for cost-efficient spatio-temporal data collection and analysis, with increased capacity for better decision-making about managing Australia’s natural resources. Through the Linkage partners’ networks, these benefits will be disseminated throughout regional bodies, government agencies and research groups across and outside Australia. The ....Making the most of remotely sensed data: Bayesian spatio-temporal models for enhanced natural resource management and design. This research will provide methods for cost-efficient spatio-temporal data collection and analysis, with increased capacity for better decision-making about managing Australia’s natural resources. Through the Linkage partners’ networks, these benefits will be disseminated throughout regional bodies, government agencies and research groups across and outside Australia. The statistical techniques derived in this project will enhance Australia’s capability in the national priority area of mathematical sciences, and will contribute to knowledge in a wide range of disciplines including natural resources, medicine and genetics. Read moreRead less
Stochastic modelling of genetic regulatory networks with burst process. This project will develop the next generation of stochastic modelling to study the fundamental principles of genetic regulation. Simulations will yield deeper insight into the origin of bistability and oscillation in gene networks.
A probabilistic and geometric understanding of transport and metastability in mathematical geophysical flows. Complicated fluid flow is at the heart of physical oceanography and atmospheric science. This project will develop new mathematical technologies to reveal hidden transport barriers around which complicated fluid flow is organised. This project will lead to more accurate circulation predictions from ocean and atmosphere models.
Mathematical modeling of multicellular organization of epithelial tissues. This project will use mathematical modelling and computer simulations to understand the dynamic organisation of epithelial tissues in close interaction with ongoing laboratory experiments. The key challenge is to develop a multi-scale modelling framework that is capable of bridging the gap between biochemical and biophysical sub-cellular processes, cell-cell interactions and the large scale multicellular properties of tis ....Mathematical modeling of multicellular organization of epithelial tissues. This project will use mathematical modelling and computer simulations to understand the dynamic organisation of epithelial tissues in close interaction with ongoing laboratory experiments. The key challenge is to develop a multi-scale modelling framework that is capable of bridging the gap between biochemical and biophysical sub-cellular processes, cell-cell interactions and the large scale multicellular properties of tissues composed of large cell populations. This will require the design of novel mathematical approximation techniques and application of high performance parallel computing technology specifically adapted for the description of multicellular systems. Read moreRead less
Advanced algorithms for statistical mechanical models. Polymer science, percolation theory and models of magnetism are at the forefront of lattice statistical mechanics and condensed matter theory. Numerical techniques to determine the behaviour of model systems in these areas are predominantly Monte Carlo methods, series generation and analysis, or based on partition function zeroes. New algorithms have been developed for all three methods that are vastly more efficient than their predecessors. ....Advanced algorithms for statistical mechanical models. Polymer science, percolation theory and models of magnetism are at the forefront of lattice statistical mechanics and condensed matter theory. Numerical techniques to determine the behaviour of model systems in these areas are predominantly Monte Carlo methods, series generation and analysis, or based on partition function zeroes. New algorithms have been developed for all three methods that are vastly more efficient than their predecessors. Coupled with the availability of dramatically increased computer power, this project takes advantage of a unique position to make dramatic advances in the afore-mentioned research areas. Furthermore, the methods have wider applicability than those mentioned.Read moreRead less
David and Goliath - what planets can do to the stars that created them. We used to think that when stars expand during their old age, they would destroy all their close-by planets. Today we know that if a star swallows a Jupiter-like planet it can suffer indigestion. The project will study how star-planet interactions takes place, determine their impact on the lives of stars and glimpse at the future of our own solar system.
A technique to understand stellar mergers in the era of time-domain astrophysics. Powerful new telescopes will soon be making movies of the universe, recording over 100,000 changes every night. Many of these events will be stars coalescing with one another or even eating their planetary systems. This project will enable us to identify these events early and through computer modelling, interpret these observations.
Mathematics in the round - the challenge of computational analysis on spheres. Real world problems formulated on spheres (including physical problems for the whole earth) provide many difficult challenges. This project aims at developing algorithms to solve problems on spheres in two and higher dimensions, with applications ranging from geophysics to signal analysis.
Paving the way: an experimental approach to the mathematical modelling and design of permeable pavements. The intelligent use of permeable pavements will enable restoration of degraded land corridors. Collection and treatment of stormwater via filtration through porous media will improve water quality in urban environments and will also control flooding. The integration of ecology and urban living will present a revolutionary way to revitalize cities.
Harnessing Spherical Geometry in Scientific and Engineering Data Processing. Spherical information underpins many natural phenomena, ranging from the distribution of galaxies in the Universe to the connectivity and neuronal activation in the human brain. Current major investments in scientific and medical instrumentation do not efficiently collect and process the massive amounts of data because they do not properly utilise its inherent spherical geometry. Through harnessing spherical geometry, t ....Harnessing Spherical Geometry in Scientific and Engineering Data Processing. Spherical information underpins many natural phenomena, ranging from the distribution of galaxies in the Universe to the connectivity and neuronal activation in the human brain. Current major investments in scientific and medical instrumentation do not efficiently collect and process the massive amounts of data because they do not properly utilise its inherent spherical geometry. Through harnessing spherical geometry, this project aims to address the above shortcomings and to provide advances across all these application domains. By collecting and processing data more efficiently, with greater fidelity, and by revealing features currently hidden, the methods developed are expected to see the full benefit from the instrumentation capturing this data.Read moreRead less