The evolution of species traits and spread during biological invasions. Exotic species pose a dire threat to Australia's biodiversity and natural resources due to the speed at which non-indigenous pests spread and the ecological and environmental damage they are capable of causing. The proposed research, on identifying traits associated with the spread of exotic vertebrate species and modelling the reproductive and dispersal parameters among different populations, will provide new knowledge and ....The evolution of species traits and spread during biological invasions. Exotic species pose a dire threat to Australia's biodiversity and natural resources due to the speed at which non-indigenous pests spread and the ecological and environmental damage they are capable of causing. The proposed research, on identifying traits associated with the spread of exotic vertebrate species and modelling the reproductive and dispersal parameters among different populations, will provide new knowledge and aid in developing innovative solutions for arresting the spread of exotic species. The validation of current models of spread will represent a major and timely addition to the national research capability on exotic species, and add substantially to Australia's reputation as a global leader in evolutionary ecology.Read moreRead less
From individuals to mass organisation: aggregation, synchronisation and collective movement in locusts. By combining field biology, robotics and mathematics, this project will determine how animals flock or swarm and, in particular, how locust nymphs control their collective movement over their lifetime. The mathematical models derived during the project will be directly applied to controlling outbreaks of locusts in Australia, South and North Africa.
Density regulation as a major determinant of population persistence: advancing empirical and theoretical approaches to conserve biodiversity. Without efficient application of limited conservation resources, more species will go extinct and invasive species will continue to proliferate. With a better understanding of extinction processes, a higher benefit:cost ratio will ensure better outcomes for biodiversity. We will directly address (1) the sustainable use of Australia's biodiversity by provid ....Density regulation as a major determinant of population persistence: advancing empirical and theoretical approaches to conserve biodiversity. Without efficient application of limited conservation resources, more species will go extinct and invasive species will continue to proliferate. With a better understanding of extinction processes, a higher benefit:cost ratio will ensure better outcomes for biodiversity. We will directly address (1) the sustainable use of Australia's biodiversity by providing evidence-based support for minimum viable population size targets to avoid extinction; (2) responding to climate change by determining the species- and environmentally specific contexts leading to elevated risks of extinction; and (3) protecting Australia from invasive diseases and pests by determining density targets that maximise eradication success.Read moreRead less
A modelling challenge: bridging the gap between molecular and neuronal networks. We will develop innovative frameworks, which unify small-scale molecular activity with electrical signals in branches of brain cells. This research aims to enhance our understanding how molecular scale phenomena influence brain disease, via studying the model dynamics using cutting-edge techniques on a supercomputer. The socio-economic benefits to Australia include: (i) Enhancing Australia's international reputation ....A modelling challenge: bridging the gap between molecular and neuronal networks. We will develop innovative frameworks, which unify small-scale molecular activity with electrical signals in branches of brain cells. This research aims to enhance our understanding how molecular scale phenomena influence brain disease, via studying the model dynamics using cutting-edge techniques on a supercomputer. The socio-economic benefits to Australia include: (i) Enhancing Australia's international reputation for cutting-edge multidisciplinary research; (ii) international collaborations will be strengthened; (iii) outcomes will potentially lead to commercialisation opportunities; (iv) results will ultimately lay the foundations to explore the cellular and molecular origin of brain disorders.Read moreRead less
Communication and information storage mechanisms in complex dynamical brain networks. Recordings of electrical activity in the brain often cycle repetitively. The aim of this research is to explain how these brain rhythms assist the brain to coordinate simultaneous activity in several regions. Australian socioeconomic benefits include: (i) contributions to the knowledge base of theoretical neuroscience, enhancing Australia's reputation for cutting-edge research; (ii) strengthening of internation ....Communication and information storage mechanisms in complex dynamical brain networks. Recordings of electrical activity in the brain often cycle repetitively. The aim of this research is to explain how these brain rhythms assist the brain to coordinate simultaneous activity in several regions. Australian socioeconomic benefits include: (i) contributions to the knowledge base of theoretical neuroscience, enhancing Australia's reputation for cutting-edge research; (ii) strengthening of international collaborations with Europe and Japan; (iii) outcomes will ultimately impact on improved medical bionics and future interfaces between brain activity and machines or computers; and (iv) commercialization and technology transfer opportunities, via the transfer of results to biologically inspired engineering.Read moreRead less
A lossy compression paradigm for sensory neural coding. By applying new interdisciplinary theoretical results, this research aims to enhance our understanding of how the ear turns sounds into electrical signals in the presence of high levels of random noise. Socio-economic benefits to Australia include: (i) contributions to the knowledge base of theoretical neuroscience, and communications systems, enhancing Australia's reputation for cutting-edge research; (ii) strengthening of European interna ....A lossy compression paradigm for sensory neural coding. By applying new interdisciplinary theoretical results, this research aims to enhance our understanding of how the ear turns sounds into electrical signals in the presence of high levels of random noise. Socio-economic benefits to Australia include: (i) contributions to the knowledge base of theoretical neuroscience, and communications systems, enhancing Australia's reputation for cutting-edge research; (ii) strengthening of European international collaborations; (iii) outcomes that will ultimately impact on improved designs for bionic ears and future biomedical prosthetics; and (iv) commercialisation and technology transfer opportunities, via the transfer of results to wireless artificial sensor networks.Read moreRead less
Root-to-shoot: modeling the salt stress response of a plant vascular system. Salt and drought are the two major abiotic stresses affecting crop plant health, growth and development. We aim to understand salt and water transport in plants and the physiological effects of soil salinity. Using biophysical models, we will quantify the movement of salt through plant organs, tissues and cells, from root to leaf. We aim to answer the question of how salt moves across the different tissues and major org ....Root-to-shoot: modeling the salt stress response of a plant vascular system. Salt and drought are the two major abiotic stresses affecting crop plant health, growth and development. We aim to understand salt and water transport in plants and the physiological effects of soil salinity. Using biophysical models, we will quantify the movement of salt through plant organs, tissues and cells, from root to leaf. We aim to answer the question of how salt moves across the different tissues and major organs, how salt accumulates in root, leaf and shoot cells, and how movement and accumulation is controlled by the diversity of transport mechanisms operating in plants. We aim to quantify tissue tolerance, osmotic tolerance and ionic tolerance and discover new mechanisms by which plants can stave off the effect of salt stress.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE130100031
Funder
Australian Research Council
Funding Amount
$333,684.00
Summary
Mathematical modelling of the complex mechanics of biological materials and their role in tissue function and development. The mechanics of biological materials is complicated because they consist of many components such as fibres, proteins and polymers. We aim to use mathematical tools to understand how these components interact in tissues such as the spinal disc which will aid the development of new treatments to reverse the effects of injury, disease or aging.
Computational methods for population-size-dependent branching processes. Branching processes are the primary mathematical tool used to model populations that evolve randomly in time. Most key results in the theory are derived under the simplifying assumption that individuals reproduce and die independently of each other. However, this assumption fails in most real-life situations, in particular when the environment has limited resources or when the habitat has a restricted capacity. This project ....Computational methods for population-size-dependent branching processes. Branching processes are the primary mathematical tool used to model populations that evolve randomly in time. Most key results in the theory are derived under the simplifying assumption that individuals reproduce and die independently of each other. However, this assumption fails in most real-life situations, in particular when the environment has limited resources or when the habitat has a restricted capacity. This project aims to develop novel and effective algorithmic techniques and statistical methods for a class of branching processes with dependences. We will use these results to study significant problems in the conservation of endangered island bird populations in Oceania, and to help inform their conservation management.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