The prediction of sleep/wake behaviour based on physiological and social factors. The prevalence of shiftwork has increased in Australia over the last few decades. Shiftworkers obtain less sleep, have greater difficulty maintaining good relationships, have poorer health, and are more likely to be injured at work than others. Using the largest dataset of its kind, we will substantially contribute to understanding the relationships between work hours, sleep, performance and safety. Ultimately, the ....The prediction of sleep/wake behaviour based on physiological and social factors. The prevalence of shiftwork has increased in Australia over the last few decades. Shiftworkers obtain less sleep, have greater difficulty maintaining good relationships, have poorer health, and are more likely to be injured at work than others. Using the largest dataset of its kind, we will substantially contribute to understanding the relationships between work hours, sleep, performance and safety. Ultimately, the project will answer a question critical to workplace safety - how much time off between shifts is needed to be alert and safe at work? The project will also produce tools to help industry design fatigue-friendly rosters, improving the safety, productivity and general well-being of shiftworkers in Australia and overseas.Read moreRead less
Improved Monte Carlo Methods for Estimation, Optimisation and Counting. The project will benefit the Australian society by building the theoretical and methodological foundations for the next generation of Monte Carlo techniques. The advancement of the knowledge in this area will provide important tools for solving complex estimation, optimisation and counting problems in engineering, statistics, computer science, mathematics and the physical and life sciences. As a result it will generate a com ....Improved Monte Carlo Methods for Estimation, Optimisation and Counting. The project will benefit the Australian society by building the theoretical and methodological foundations for the next generation of Monte Carlo techniques. The advancement of the knowledge in this area will provide important tools for solving complex estimation, optimisation and counting problems in engineering, statistics, computer science, mathematics and the physical and life sciences. As a result it will generate a competitive advantage for various sections of the Australian industry, including telecommunications, biotechnology and finance. The project will enable Australian researchers to continue to work at the forefront of this fast moving and exciting area of international research.Read moreRead less
Special Research Initiatives - Grant ID: SR0354793
Funder
Australian Research Council
Funding Amount
$10,000.00
Summary
A Neural Network: Understanding Brain Function. This proposal focuses on the mechanisms that regulate brain function, particularly those underpinning the changes in circuitry (plasticity) caused by altered inputs. As such, its core goal is to create an interface between researchers in the neurosciences, computational modelling, robotics and cognitive sciences in order to facilitate optimum collaborative interactions, identify key research questions and promote training opportunities across a mul ....A Neural Network: Understanding Brain Function. This proposal focuses on the mechanisms that regulate brain function, particularly those underpinning the changes in circuitry (plasticity) caused by altered inputs. As such, its core goal is to create an interface between researchers in the neurosciences, computational modelling, robotics and cognitive sciences in order to facilitate optimum collaborative interactions, identify key research questions and promote training opportunities across a multidisciplinary spectrum. This will drive an integrated and accelerated program of discovery and technological development, enhancing Australia's leadership in this crucial field and helping to highlight new biotechnology opportunities and capture social and economic benefits for the nation. Read moreRead less
Macdonald polynomials: Combinatorics and representations. This proposal is part of the aim to build a world class research team in algebraic combinatorics and combinatorial representation theory at the University of Melbourne, led by the two CI.
These fields are currently experiencing very rapid growth and development, and a strong Australia based team will further enhance the country's strong reputation in combinatorics and algebra.
The project will also provide a perfect training ground fo ....Macdonald polynomials: Combinatorics and representations. This proposal is part of the aim to build a world class research team in algebraic combinatorics and combinatorial representation theory at the University of Melbourne, led by the two CI.
These fields are currently experiencing very rapid growth and development, and a strong Australia based team will further enhance the country's strong reputation in combinatorics and algebra.
The project will also provide a perfect training ground for Higher Degree Students with interests in pure mathematics as well as computer
algebra and symbolic computation.Read moreRead less
Discovery Indigenous Researchers Development - Grant ID: DI0453648
Funder
Australian Research Council
Funding Amount
$144,184.00
Summary
Modelling of coupled heat and water flow through layered soils with an extension to heat flow through granulated soils. The main aim of this project is to develop a mathematical model to simulate coupled heat and water flow through layered soils. The coupling of the two processes will allow us to examine the interaction between heat and water flow. The project also aims to extend the heat component of the flow model to granulated heterogeneous soils by developing a model that encapsulates heat e ....Modelling of coupled heat and water flow through layered soils with an extension to heat flow through granulated soils. The main aim of this project is to develop a mathematical model to simulate coupled heat and water flow through layered soils. The coupling of the two processes will allow us to examine the interaction between heat and water flow. The project also aims to extend the heat component of the flow model to granulated heterogeneous soils by developing a model that encapsulates heat effects at the microscopic and macroscopic level. The model will be applied to two problems 1) hydraulic barriers in cover liner designs for landfills and 2) assessing the ability of heat sensors to measure various soil properties under field conditions.Read moreRead less
Stochastic Modelling of Genetic Regulatory Networks: Subtitle - Genetic Regulation is a Noisy Business. The completion of the human genome marked the culmination of one hundred years of reductionist science in cell biology. Although further bioinformatics analysis will continue, the focus is shifting towards synthesis and understanding how the regulatory genetic components dynamically interact to form functional phenotypes. The key to this is the understanding of the roles of stochasticity in ....Stochastic Modelling of Genetic Regulatory Networks: Subtitle - Genetic Regulation is a Noisy Business. The completion of the human genome marked the culmination of one hundred years of reductionist science in cell biology. Although further bioinformatics analysis will continue, the focus is shifting towards synthesis and understanding how the regulatory genetic components dynamically interact to form functional phenotypes. The key to this is the understanding of the roles of stochasticity in cellular processes. This project will explore these roles and will develop an integrated complex systems modelling, simulation and visualisation framework. This will be used on an exemplar application for lineage commitment in haematopoiesis and for exploring and validating genetic regulatory models in general.Read moreRead less
Statistical estimation and approximation of anomalous diffusion. This project investigates diffusion processes with long memory, heavy-tailed distributions and higher-order information. Each of these characteristics has been a subject of extensive current research. These processes arise in important applications with significant social/economic benefits such as heat conduction and fluid flow in porous media, propagation of seismic waves, transport of drug molecules in living tissues. Built on ou ....Statistical estimation and approximation of anomalous diffusion. This project investigates diffusion processes with long memory, heavy-tailed distributions and higher-order information. Each of these characteristics has been a subject of extensive current research. These processes arise in important applications with significant social/economic benefits such as heat conduction and fluid flow in porous media, propagation of seismic waves, transport of drug molecules in living tissues. Built on our recent fundamental developments of fractional generalised random fields and fractional diffusion equations, this project tackles the key problems of statistical estimation, approximation and prediction of diffusion processes with all the above characteristics in a unified framework not provided by other approaches.Read moreRead less
New lattice approach for digital broadband communications. A main limiting factor in supplying future broadband communications is overcoming signal dispersion in the transmission channel. Recent preliminary collaboration by the chief investigators has uncovered a novel approach to this problem based on powerful mathematical lattice theory. The techniques have potential to significantly increase bandwidth and reliability compared to current technologies. This project will use lattice theory to pr ....New lattice approach for digital broadband communications. A main limiting factor in supplying future broadband communications is overcoming signal dispersion in the transmission channel. Recent preliminary collaboration by the chief investigators has uncovered a novel approach to this problem based on powerful mathematical lattice theory. The techniques have potential to significantly increase bandwidth and reliability compared to current technologies. This project will use lattice theory to propose, develop, analyse and test new data transmission techniques including joint coding, modulation and equalisation. The research will include theoretical analysis and hardware implementation. The overall aim is to dramatically improve reliability and throughput of data communication systems.Read moreRead less
Algebraic approach to exactly soluble models for disordered systems. In nanoscience there are a diverse range of systems in which disorder, randomness, or noise can play a significant role. Examples range from quantum wires to qubits to unzipping DNA.
Even the simplest mathematical models for systems in the presence of disorder have a rich mathematical structure because they can be formulated in terms of Lie algrebras or diffusion on a curved surface.
The complementary physical and mathem ....Algebraic approach to exactly soluble models for disordered systems. In nanoscience there are a diverse range of systems in which disorder, randomness, or noise can play a significant role. Examples range from quantum wires to qubits to unzipping DNA.
Even the simplest mathematical models for systems in the presence of disorder have a rich mathematical structure because they can be formulated in terms of Lie algrebras or diffusion on a curved surface.
The complementary physical and mathematical expertise of the two Chief Investigators is crucial to this project.Read moreRead less
Generalised quantum models of complexity with application to cognitive systems. Non-separable systems surround us. Our transportation, taxation, schooling, environmental and social policies are all interrelated, and it is increasingly recognised that we cannot consider them in isolation. Such systems are generally deemed complex, and it is often impossible to separate them from one another. Despite this, many of our most advanced modelling techniques are grounded in principles of separability a ....Generalised quantum models of complexity with application to cognitive systems. Non-separable systems surround us. Our transportation, taxation, schooling, environmental and social policies are all interrelated, and it is increasingly recognised that we cannot consider them in isolation. Such systems are generally deemed complex, and it is often impossible to separate them from one another. Despite this, many of our most advanced modelling techniques are grounded in principles of separability and non-contextuality. This project will develop a new set of models of non-separable systems and complexity that will in turn lead to new frontier technologies and theories.Read moreRead less