What predictions can I trust? Stability of chaotic random dynamical systems. This project aims to make significant progress on the intricate question of global stability of non-autonomous chaotic dynamical systems. Using ergodic theory, this project expects to determine when and how errors in dynamical models that are small and frequent, or large and infrequent, can cause dramatic changes in meaningful mathematical model outputs. Expected outcomes include the discovery of mathematical mechanisms ....What predictions can I trust? Stability of chaotic random dynamical systems. This project aims to make significant progress on the intricate question of global stability of non-autonomous chaotic dynamical systems. Using ergodic theory, this project expects to determine when and how errors in dynamical models that are small and frequent, or large and infrequent, can cause dramatic changes in meaningful mathematical model outputs. Expected outcomes include the discovery of mathematical mechanisms underlying large-scale (in)stability for time-dependent dynamical systems, and reliable numerical methods for detecting instabilities. This research is expected to lead to improved characterisations of shocks or collapse in externally driven dynamical systems and assist scientists to gauge which predictions they can trust.Read moreRead less
Computational modelling of nanofluids for industrial applications. The use of nanoparticles in heat transfer fluids, then known as nanofluids, increases their specific heat and thermal conductivity. Recent experimental works highlight that anomalous transport phenomena are evident in nanofluids that cannot be adequately described by classical conservation laws. We will extend these conservation laws to incorporate fractional operators to capture the fluid memory effects and the impact of particl ....Computational modelling of nanofluids for industrial applications. The use of nanoparticles in heat transfer fluids, then known as nanofluids, increases their specific heat and thermal conductivity. Recent experimental works highlight that anomalous transport phenomena are evident in nanofluids that cannot be adequately described by classical conservation laws. We will extend these conservation laws to incorporate fractional operators to capture the fluid memory effects and the impact of particle clustering. Computational modelling and experimental investigations will be undertaken to identify the heat transfer mechanisms of various nanofluids. The outcomes of the work will increase knowledge on nanofluids and offer a significant opportunity to improve the efficiency of many thermal engineering systems.Read moreRead less
New mathematics for understanding complex patterns in the natural sciences. This project aims to examine the interaction of fundamental two-dimensional patterns such as spots and stripes in reaction-diffusion equations, by developing and extending mathematical techniques. These fundamental planar structures form the backbone of more complex patterns and are, for example, observed in models that describe the propagation of impulses in nerve axons and the formation of vegetation patterns. The futu ....New mathematics for understanding complex patterns in the natural sciences. This project aims to examine the interaction of fundamental two-dimensional patterns such as spots and stripes in reaction-diffusion equations, by developing and extending mathematical techniques. These fundamental planar structures form the backbone of more complex patterns and are, for example, observed in models that describe the propagation of impulses in nerve axons and the formation of vegetation patterns. The future impact of this research will have economic and environmental benefits. For example, the project will develop a deeper understanding of interacting patterns that will provide insights into the role of vegetation in ecosystems that are undergoing desertification.Read moreRead less
Unpacking the immune system with applied mathematics. This project aims to model immune interactions across cells and structures spanning scales of nanometres to millimetres. It expects to develop innovative mathematical insights, improve our understanding of immunology, and consolidate collaborations with top American and European laboratories and groups. Expected outcomes include cutting-edge techniques for multiscale biological modelling and improved prediction and analysis of immune dynami ....Unpacking the immune system with applied mathematics. This project aims to model immune interactions across cells and structures spanning scales of nanometres to millimetres. It expects to develop innovative mathematical insights, improve our understanding of immunology, and consolidate collaborations with top American and European laboratories and groups. Expected outcomes include cutting-edge techniques for multiscale biological modelling and improved prediction and analysis of immune dynamics. The project should provide benefits to industries where highly organised behaviours are important, for example those interested in robot swarming, optimal transportation, and epidemic management. It should also benefit Australian students and researchers with novel overseas training opportunities.Read moreRead less
Fractional dynamic models for MRI to probe tissue microstructure. This project aims to develop new mathematical tools for mapping tissue microstructural properties via the use of space-time fractional calculus methods. In magnetic resonance imaging, mathematical models and their parameters play a key role in associating information between images and biology, with the overall aim of producing spatially resolved maps of tissue property variations. However, models which can inform on changes in mi ....Fractional dynamic models for MRI to probe tissue microstructure. This project aims to develop new mathematical tools for mapping tissue microstructural properties via the use of space-time fractional calculus methods. In magnetic resonance imaging, mathematical models and their parameters play a key role in associating information between images and biology, with the overall aim of producing spatially resolved maps of tissue property variations. However, models which can inform on changes in microscale tissue properties are lacking. The tools developed by this project will be used to generate new magnetic resonance image based maps to convey information on tissue microstructure changes in the human brain. Additionally, the mathematical tools developed will be transferable to other applications where diffusion and transport in heterogeneous porous media play a role.Read moreRead less
A Novel Geometric Approach to Shocks in Reaction-Nonlinear Diffusion Models. Reaction-nonlinear diffusion models play a vital role in the study of cell migration and population dynamics. However, the presence of aggregation, or backward diffusion, leads to the formation of shock waves - distinct, sharp interfaces between different populations of densities of cells - and the breakdown of the model. This project will develop new geometric methods to explain the formation and temporal evolution of ....A Novel Geometric Approach to Shocks in Reaction-Nonlinear Diffusion Models. Reaction-nonlinear diffusion models play a vital role in the study of cell migration and population dynamics. However, the presence of aggregation, or backward diffusion, leads to the formation of shock waves - distinct, sharp interfaces between different populations of densities of cells - and the breakdown of the model. This project will develop new geometric methods to explain the formation and temporal evolution of these shock waves, while simultaneously unifying existing regularisation techniques under a single, geometric banner. It will devise innovative tools in singular perturbation theory and stability analysis that will identify key parameters in the creation of shock waves, as well as their dynamic behaviour.Read moreRead less
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE240100006
Funder
Australian Research Council
Funding Amount
$350,000.00
Summary
Northern Australia Plant Biosecurity Facility. Quarantine glasshouses (Biosecurity Containment Level 2) are required to develop research with invasive plants. However, in Australia, no quarantine glasshouses exist north of parallel 27 (Brisbane), posing a remarkable barrier to research on tropical biosecurity. This proposal aims to establish a quarantine glasshouse for a broad range of internal and external users, enabling scientists based in the Australian tropics and other interested parties t ....Northern Australia Plant Biosecurity Facility. Quarantine glasshouses (Biosecurity Containment Level 2) are required to develop research with invasive plants. However, in Australia, no quarantine glasshouses exist north of parallel 27 (Brisbane), posing a remarkable barrier to research on tropical biosecurity. This proposal aims to establish a quarantine glasshouse for a broad range of internal and external users, enabling scientists based in the Australian tropics and other interested parties to address plant biosecurity risks from and for northern Australia. Tropical biosecurity is a key area of strategic focus for JCU and its network of partners, who will benefit from the targeted research, quarantine services, and specialized training that will be enabled by this facility.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE240100269
Funder
Australian Research Council
Funding Amount
$448,117.00
Summary
Maintaining Human Expertise in an AI-driven World. While information systems with artificial intelligence are increasingly used to support or automate work tasks, this can come at a cost to the development and retention of essential skills in workers. Skill erosion can jeopardise safety and fairness in contexts where humans' skills are needed. This innovative project leverages systems thinking, case studies and action design research to investigate how leveraging artificial intelligence shapes w ....Maintaining Human Expertise in an AI-driven World. While information systems with artificial intelligence are increasingly used to support or automate work tasks, this can come at a cost to the development and retention of essential skills in workers. Skill erosion can jeopardise safety and fairness in contexts where humans' skills are needed. This innovative project leverages systems thinking, case studies and action design research to investigate how leveraging artificial intelligence shapes workers' skills. Its expected outcomes include a new systems theory of skill erosion and organisational guidelines for managing artificial intelligence. These can help organisations maximise human potential by striking a balance between relying on automation and maintaining workers' skills. Read moreRead less
Discontinued Use of Social Media: Dichotomy of Rational & Emotional Choices. This project aims to gain a better understanding of discontinued use of social media. For businesses and governments, social media serves as a dynamic channel for engagement, value co-creation, and business analytics marketing that is lost when users choose to discontinue its use. This project will generate new knowledge of rational and emotional decision criteria, enabling design features of social media, and their com ....Discontinued Use of Social Media: Dichotomy of Rational & Emotional Choices. This project aims to gain a better understanding of discontinued use of social media. For businesses and governments, social media serves as a dynamic channel for engagement, value co-creation, and business analytics marketing that is lost when users choose to discontinue its use. This project will generate new knowledge of rational and emotional decision criteria, enabling design features of social media, and their complex effects on discontinued use of social media. The expected outcome of this project is an integrated theory of social media discontinuance. The project findings provide significant benefits, such as strategic capabilities and actionable knowledge for businesses and governments to mitigate social media discontinued use.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE240101231
Funder
Australian Research Council
Funding Amount
$411,837.00
Summary
Quinoid Polymers for Organic Electrochemical Transistors and Bioelectronics. This project aims to develop organic semiconductors (OSCs) with excellent mechanical flexibility and biocompatibility to exploit their potentials in bioelectronics. It connects the electronic world with ionic world of biology to push the biomedical application of OSCs a big step forward. Interdisciplinary knowledge, intellectual properties (IPs), top-notch publications, invited talks, and international collaborations ar ....Quinoid Polymers for Organic Electrochemical Transistors and Bioelectronics. This project aims to develop organic semiconductors (OSCs) with excellent mechanical flexibility and biocompatibility to exploit their potentials in bioelectronics. It connects the electronic world with ionic world of biology to push the biomedical application of OSCs a big step forward. Interdisciplinary knowledge, intellectual properties (IPs), top-notch publications, invited talks, and international collaborations are expected. Additionally, it will earn Australia a commercial lead in the biomedical sector to attract more talents to serve Australia. This project also matches well with several government’s strategic research priorities, attracting industries to realise IPs transfer to bring “great value for money” to feed back Australia.Read moreRead less