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.
Genetic architecture of species divergence and hybridisation in eucalypts. Eucalypts are an icon of Australia and are of great economic and ecological significance to the nation. They are the most widely planted hardwood trees in the world, but Australia is the centre of origin of most species and the custodian of this important native bioresource. Understanding the evolutionary processes that shape diversity in this internationally significant genus is important for its long-term management a ....Genetic architecture of species divergence and hybridisation in eucalypts. Eucalypts are an icon of Australia and are of great economic and ecological significance to the nation. They are the most widely planted hardwood trees in the world, but Australia is the centre of origin of most species and the custodian of this important native bioresource. Understanding the evolutionary processes that shape diversity in this internationally significant genus is important for its long-term management and conservation. This project links to large international initiatives currently underway for high-density mapping and sequencing of the eucalypt genome, to enhance the flow of information gained back to Australia for scientific, economic and environmental benefit.Read moreRead less
Evolutionary, macroecological and phylogenetic patterns in Australasian freshwater crayfish. This project connects Australian systematists to a worldwide project that involves all of the world's living experts on freshwater crayfish evolution in a coordinated effort to answer some very important evolutionary questions. It involves a group of invertebrate animals that are not only readily recognisable, but which in Australia includes the world's largest and the world's most terrestrial crayfish s ....Evolutionary, macroecological and phylogenetic patterns in Australasian freshwater crayfish. This project connects Australian systematists to a worldwide project that involves all of the world's living experts on freshwater crayfish evolution in a coordinated effort to answer some very important evolutionary questions. It involves a group of invertebrate animals that are not only readily recognisable, but which in Australia includes the world's largest and the world's most terrestrial crayfish species. Information gained from the project will contribute to the management of crayfish biodiversity, identification of threatened species and tools to identify these prominent and important members of Australian freshwater ecosystems.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
Revealing Enigma of Salt Bladders to Help Crops Cope with Salinity. In this project, the key transport systems mediating salt sequestration in halophytes are planned to be characterised and linked with cell genetic and metabolic profiles. Salinity is a major environmental hurdle affecting crop production around the world. Halophytes (naturally salt-loving plants) use specialised structures, called salt bladders, to sequester excessive salt outside their metabolically active parts. This feature i ....Revealing Enigma of Salt Bladders to Help Crops Cope with Salinity. In this project, the key transport systems mediating salt sequestration in halophytes are planned to be characterised and linked with cell genetic and metabolic profiles. Salinity is a major environmental hurdle affecting crop production around the world. Halophytes (naturally salt-loving plants) use specialised structures, called salt bladders, to sequester excessive salt outside their metabolically active parts. This feature is not utilised by crops however, and no information is available about the molecular mechanisms by which salt is pumped into bladder cells. This knowledge will allow breeders to utilise this, previously unexplored, trait to improve crop performance under conditions of salinity.Read moreRead less
Synergistic interactions between reactive oxygen species, free fatty acids and neurotoxins as the fish-killing mechanism of Australian gymnodinioid dinoflagellates. Provide the scientific basis for sound management and mitigation strategies to prevent algal bloom impacts on aquaculture, fisheries and the environment.
Algebraically informed models of biological sequence evolution. To make sense of the patterns they see in the natural world, biologists across fields as diverse as genetics, epidemiology and biogeography need an accurate picture of evolutionary history. DNA sequences provide an exciting means to establish this picture of the past, but to decode it successfully requires mathematical models of how DNA evolves. Mathematical inconsistencies have been identified with current approaches. In particular ....Algebraically informed models of biological sequence evolution. To make sense of the patterns they see in the natural world, biologists across fields as diverse as genetics, epidemiology and biogeography need an accurate picture of evolutionary history. DNA sequences provide an exciting means to establish this picture of the past, but to decode it successfully requires mathematical models of how DNA evolves. Mathematical inconsistencies have been identified with current approaches. In particular, understanding the effect of natural selection in different parts of the tree of life requires models that behave robustly in the face of shifting evolutionary processes. This project aims to use insights from algebraic methods to construct mathematically consistent models of wide biological utility.Read moreRead less
Contribution of hybridisation to genetic diversity and adaptation in Eucalyptus. The eucalypt gene pool is an outstandingly important bioresource for Australia. Its effective future management will be based on understanding the extent, causes and significance of genetic variation in eucalypt species. This project investigates a currently overlooked, but potentially important, source of genetic diversity and adaptation in Eucalyptus. The knowledge gained will contribute substantially to our un ....Contribution of hybridisation to genetic diversity and adaptation in Eucalyptus. The eucalypt gene pool is an outstandingly important bioresource for Australia. Its effective future management will be based on understanding the extent, causes and significance of genetic variation in eucalypt species. This project investigates a currently overlooked, but potentially important, source of genetic diversity and adaptation in Eucalyptus. The knowledge gained will contribute substantially to our understanding of eucalypt biology, and will inform decision-making for conservation, revegetation, and sustainable use of seed resources. Through addressing fundamental questions, the project will also provide a uniquely Australian contribution to world research in forest molecular genetics.Read moreRead less
Hybridisation and gene flow in Eucalyptus. We propose to use a molecular approach to study hybridisation in eucalypts. We will study the genetic barriers to gene flow and provide base-line data to assess the potential threat of genetic pollution from exotic plantations to our native forest gene pools. We will concentrate our studies on species of subgenus Symphyomyrtus which includes all the major plantation species. This will allow us to extend our long-running studies of hybridisation towar ....Hybridisation and gene flow in Eucalyptus. We propose to use a molecular approach to study hybridisation in eucalypts. We will study the genetic barriers to gene flow and provide base-line data to assess the potential threat of genetic pollution from exotic plantations to our native forest gene pools. We will concentrate our studies on species of subgenus Symphyomyrtus which includes all the major plantation species. This will allow us to extend our long-running studies of hybridisation towards understanding the dynamics and consequences of genetic invasion and help develop guidelines to minimise the risk of genetic pollution.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