Nonlinear Dynamics of Pulse Coupled Oscillators. A mathematical model of the heart pacemaker system will be created, based on simple interacting units. These units have been shown to be good models of physiological information e.g. the discrimination of different influences on heart rate. We will firstly look at the interaction of the units in simple combinations and then tune the model to mimic the behaviour of the cardiac pacemaker.
Potential benefits may arise from elucidating the mechanis ....Nonlinear Dynamics of Pulse Coupled Oscillators. A mathematical model of the heart pacemaker system will be created, based on simple interacting units. These units have been shown to be good models of physiological information e.g. the discrimination of different influences on heart rate. We will firstly look at the interaction of the units in simple combinations and then tune the model to mimic the behaviour of the cardiac pacemaker.
Potential benefits may arise from elucidating the mechanisms underlying arrhythmias which contribute to ?sudden cardiac death? in young men, and suggesting strategies for artificial pacemakers to effectively arrest abnormal rhythms before they convert to potentially fatal fibrillation.Read moreRead less
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
Developing feasible in situ control of mange disease in wombats. Our goal is the development of feasible in situ control of sarcoptic mange in wombat populations. Globally important, the Sarcoptes scabiei mite infects >100 mammal species and is among the 50 most common human diseases, causing health, welfare and population impacts. This infection is treatable, and we will test a new treatment (fluralaner), develop new models to guide management, and conduct replicated field trials. This will ena ....Developing feasible in situ control of mange disease in wombats. Our goal is the development of feasible in situ control of sarcoptic mange in wombat populations. Globally important, the Sarcoptes scabiei mite infects >100 mammal species and is among the 50 most common human diseases, causing health, welfare and population impacts. This infection is treatable, and we will test a new treatment (fluralaner), develop new models to guide management, and conduct replicated field trials. This will enable science-based guidelines, advancing disease control, local eradication, and regulatory approval for wombats. Our research framework is adaptable to other mange-impacted species, and advance methods and theory for control of treatable disease in wildlife.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE180100957
Funder
Australian Research Council
Funding Amount
$339,328.00
Summary
Partial differential equations, free boundaries and applications. This project aims to investigate fundamental problems in the analysis of partial differential equations and free boundary theory, to develop advanced mathematical theories with the possibility of important applications. The expected outcome is the establishment of a regularity and classification theory for nonlocal equations and for free boundary problems in linear and nonlinear settings. The benefit of the project lies in a concr ....Partial differential equations, free boundaries and applications. This project aims to investigate fundamental problems in the analysis of partial differential equations and free boundary theory, to develop advanced mathematical theories with the possibility of important applications. The expected outcome is the establishment of a regularity and classification theory for nonlocal equations and for free boundary problems in linear and nonlinear settings. The benefit of the project lies in a concrete advancement of the mathematical research with advantages for a deeper understanding of complex phenomena in physics and biology. Some of the problems also provide results useful for industrial applications.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE120101529
Funder
Australian Research Council
Funding Amount
$375,000.00
Summary
Transmission dynamics modelling of zoonotic neglected tropical diseases. This project will develop mathematical models to simulate zoonotic disease transmission and control. Results will provide novel insight for policy makers into effective interventions for schistosomiasis, echinococcosis and clonorchiasis, as well as provide a methodological platform for adaptation to other zoonotic emerging and re-emerging diseases.
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
Optimal management of complex ecological systems. Natural systems are inherently complex and difficult to predict. This complexity means that efficient management strategies are often uncertain, and resource managers have few theories or rules on which to base their decisions. We will integrate the existing theories and principles of conservation biology with decision-making tools and theory used in statistics, economics, control theory, engineering and mathematics. We will use novel methods to ....Optimal management of complex ecological systems. Natural systems are inherently complex and difficult to predict. This complexity means that efficient management strategies are often uncertain, and resource managers have few theories or rules on which to base their decisions. We will integrate the existing theories and principles of conservation biology with decision-making tools and theory used in statistics, economics, control theory, engineering and mathematics. We will use novel methods to investigate the reliability of different management decisions that are made in the face of uncertainty and involve learning. Our aim is to discover a general theory for a new branch of conservation biology: applied theoretical conservation ecology.Read moreRead less
Australian Laureate Fellowships - Grant ID: FL100100183
Funder
Australian Research Council
Funding Amount
$2,168,370.00
Summary
Biological adaptation under natural and anthropogenic conditions. This project covers all four national priority areas. Nature abounds with conflicts between what is good for the individual or a larger entity (a population, a society, or a species). Researching them will explain why populations adapt or fail to adapt to novel conditions (e.g., climate change) and predict when interventions are beneficial. Similar rules govern the spread of invasive species. Even health problems, e.g., new virule ....Biological adaptation under natural and anthropogenic conditions. This project covers all four national priority areas. Nature abounds with conflicts between what is good for the individual or a larger entity (a population, a society, or a species). Researching them will explain why populations adapt or fail to adapt to novel conditions (e.g., climate change) and predict when interventions are beneficial. Similar rules govern the spread of invasive species. Even health problems, e.g., new virulent strains of human, animal or plant diseases, require such evolutionary thinking. Cutting-edge mathematical tools also prepare Australians for an era in the near future where genomic data are so cheap to acquire that training in complex mathematical and logical analysis becomes a factor limiting scientific progress.Read moreRead less
Alternative Splicing in the Mouse Transcriptome. Although the human genome completion is cause for excitement we do not have any firm indication of precisely how many protein-coding genes exist in a mammalian genome. We have even less indication of the extent to which these genes generate alternative gene products, through a process termed alternative splicing. The detection and sequencing of these full-length alternative gene products is the focus of this application. This application details t ....Alternative Splicing in the Mouse Transcriptome. Although the human genome completion is cause for excitement we do not have any firm indication of precisely how many protein-coding genes exist in a mammalian genome. We have even less indication of the extent to which these genes generate alternative gene products, through a process termed alternative splicing. The detection and sequencing of these full-length alternative gene products is the focus of this application. This application details the opportunity to participate in the identification of the full transcriptome of the mouse and is part of a collaborative effort with The RIKEN Genome Sciences Center in Japan.Read moreRead less