Advanced matrix-analytic methods with applications. Over the last twenty-five years, matrix-analytic methods have proved to be very successful in formulating and analysing certain classes of stochastic models. Motivated by applications, this project will investigate more advanced matrix-analytic methods than have hitherto been studied.
Creating new stochastic models to understand the evolution of gene families. This project aims to extend stochastic modelling techniques in order to develop mathematically rigorous and biologically relevant models for the evolution of gene families. The project expects to model evolutionary processes such as gene retention, duplication and loss, and the generation of new gene functions. The duplication and subsequent re-purposing of genes is thought to be a key mechanism for generating evolution ....Creating new stochastic models to understand the evolution of gene families. This project aims to extend stochastic modelling techniques in order to develop mathematically rigorous and biologically relevant models for the evolution of gene families. The project expects to model evolutionary processes such as gene retention, duplication and loss, and the generation of new gene functions. The duplication and subsequent re-purposing of genes is thought to be a key mechanism for generating evolutionary novelty. By applying these models to genome data, the project expects to be able to quantify the importance of these different evolutionary mechanisms. The project will strengthen collaborative links between researchers in stochastic modelling and molecular evolutionary biology.Read moreRead less
An efficient approach to the computation of bacterial evolutionary distance. This project aims to apply advanced mathematical tools to improve our understanding of bacterial evolution. Bacteria account for as much total Earth biomass as all plant species put together, and have an unparalleled ability to evolve quickly and adapt to changing environments. Unfortunately, the existing mathematical models used to model bacterial evolution are generally computationally intractable. This project will r ....An efficient approach to the computation of bacterial evolutionary distance. This project aims to apply advanced mathematical tools to improve our understanding of bacterial evolution. Bacteria account for as much total Earth biomass as all plant species put together, and have an unparalleled ability to evolve quickly and adapt to changing environments. Unfortunately, the existing mathematical models used to model bacterial evolution are generally computationally intractable. This project will rectify this situation by using representation theory to transform combinatorial group theory into linear algebra, allowing for the application of advanced methods of numeric approximation. This will provide a better understanding of how bacteria evolve and improve our ability to manage their impact.Read moreRead less
Modeling Healthcare Systems. An efficient healthcare system is essential for the well-being of any society. The aim of the project is to develop major advances in the mathematical modelling of healthcare systems, in order to improve efficiency, and ultimately, patient health. The first expected outcome is the development of mathematical models that constitute a high-level description of patient flow through hospitals and subacute care, so that demands for emergency and elective capacity are met ....Modeling Healthcare Systems. An efficient healthcare system is essential for the well-being of any society. The aim of the project is to develop major advances in the mathematical modelling of healthcare systems, in order to improve efficiency, and ultimately, patient health. The first expected outcome is the development of mathematical models that constitute a high-level description of patient flow through hospitals and subacute care, so that demands for emergency and elective capacity are met given limited resources. The second is the development of a bed allocation algorithm that allocates patients to appropriate wards, so as to optimise the set of performance indicators of the system under appropriate constraints, given the current ward occupancy.Read moreRead less
Viscous Effects in Free-Surface Flows. Australia has a proud record of achievement in the field of free-surface fluid mechanics. This project will build and extend these research achievements. It will provide new information about how fluid layers overturn and mix, which is an important process in oceanography. It will examine the sloshing behaviour of fluid in moving storage tanks, which is important in fuel transport and building design. The project will develop new mathematical methods fo ....Viscous Effects in Free-Surface Flows. Australia has a proud record of achievement in the field of free-surface fluid mechanics. This project will build and extend these research achievements. It will provide new information about how fluid layers overturn and mix, which is an important process in oceanography. It will examine the sloshing behaviour of fluid in moving storage tanks, which is important in fuel transport and building design. The project will develop new mathematical methods for solving these problems accurately, and will contribute to the next generation of research mathematicians in Australia. Read moreRead less
Structure and informatics of the genetic code. Recent advances in biotechnology have seen its emergence as a highly
quantitative, numerically-based discipline. To exploit the available
data to the full will require, alongside computing power, new
analytical techniques. This project aims to develop such techniques,
by handling the systematics of the genetic code with methods derived
from theoretical physics and chemistry. Expected outcomes include a
dynamical (quantum field theory) model ....Structure and informatics of the genetic code. Recent advances in biotechnology have seen its emergence as a highly
quantitative, numerically-based discipline. To exploit the available
data to the full will require, alongside computing power, new
analytical techniques. This project aims to develop such techniques,
by handling the systematics of the genetic code with methods derived
from theoretical physics and chemistry. Expected outcomes include a
dynamical (quantum field theory) model of phylogenetic branching,
analyses of nucleic acid structure and content (spin chain models of
RNA binding and of DNA open reading frames), and insights into the
origin of the code itself (via numerical codon similarity measures).
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Markov invariants and phylogenetic tree reconstruction. The project will assist Australia to progress as an innovator in the production phylogenetic tree reconstruction techniques.
Identifying species is a difficult task with environmental, social and economic benefits to Australia. DNA evidence and phylogenetic methods clearly achieve this task. Conservation of rare species depends upon identification and hence robust phylogenetic analysis. Phylogenetically identifying fish species has econom ....Markov invariants and phylogenetic tree reconstruction. The project will assist Australia to progress as an innovator in the production phylogenetic tree reconstruction techniques.
Identifying species is a difficult task with environmental, social and economic benefits to Australia. DNA evidence and phylogenetic methods clearly achieve this task. Conservation of rare species depends upon identification and hence robust phylogenetic analysis. Phylogenetically identifying fish species has economic importance as different fish species are all managed separately, having different catch limits, catch areas and market values. Using effective phylogenetic methods, epidemiologists can track the spread of a disease through a population. Read moreRead less
Managing Fresh-Water Resources in Saline Environments. Australian industry and urban developments often rely on a secure supply of fresh water. In many situations, the fresh water occurs adjacent to large expanses of saline water. This poses special constraints on how the fresh water can be recovered. This project undertakes careful mathematical modelling of fresh water recovery from reservoirs and from within islands (where it may be the only practical source of drinking water). The injecti ....Managing Fresh-Water Resources in Saline Environments. Australian industry and urban developments often rely on a secure supply of fresh water. In many situations, the fresh water occurs adjacent to large expanses of saline water. This poses special constraints on how the fresh water can be recovered. This project undertakes careful mathematical modelling of fresh water recovery from reservoirs and from within islands (where it may be the only practical source of drinking water). The injection and extraction of ground water in novel "mineral leaching" mining technology will also be investigated.Read moreRead less
Special Research Initiatives - Grant ID: SR0354575
Funder
Australian Research Council
Funding Amount
$30,000.00
Summary
Earth and Ocean Informatics and Technology Network (EON-ITnet). Sustainable resource exploration and mining onshore, as well as marine planning, exploration, and defence depend on effective cross-disciplinary investigation, sharing of expertise and technologies for integration and computational analysis of multidimensional data spaces. EON-ITNET will cross-fertilise the use of artificial intelligence, advanced computing and smart information sharing for management, analysis, visualisation and me ....Earth and Ocean Informatics and Technology Network (EON-ITnet). Sustainable resource exploration and mining onshore, as well as marine planning, exploration, and defence depend on effective cross-disciplinary investigation, sharing of expertise and technologies for integration and computational analysis of multidimensional data spaces. EON-ITNET will cross-fertilise the use of artificial intelligence, advanced computing and smart information sharing for management, analysis, visualisation and metadata modelling between these traditionally separate research groups, with the outcome of improving research efficiency and lowering costs. EON-ITNET will form an alliance with the Caltech-based GeoFramework, which is advancing a novel object-oriented data analysis environment, binding community software for Earth visualisation and simulation to 4D data bases.Read moreRead less
Tailoring composite propellers for reduced sound radiation. This project aims to explore the generation of noise by composite propellers and to use this understanding to tailor the composite properties to reduce underwater noise. Propellers are a harmful source of noise in the marine environment, disturbing animal behaviour, revealing the location of naval vessels and interfering with sonar operation. Adaptive composite propellers are potentially quieter than metal propellers, as well as offerin ....Tailoring composite propellers for reduced sound radiation. This project aims to explore the generation of noise by composite propellers and to use this understanding to tailor the composite properties to reduce underwater noise. Propellers are a harmful source of noise in the marine environment, disturbing animal behaviour, revealing the location of naval vessels and interfering with sonar operation. Adaptive composite propellers are potentially quieter than metal propellers, as well as offering improvements in efficiency and fuel consumption. The aims of this project are to understand the physical mechanisms associated with composite propeller noise generation. The outcomes are intended to provide advanced numerical capabilities that will support the development of quieter marine propeller designs to improve defence capability and the acoustic environment for marine mammals.Read moreRead less