Biofocussed Prostate Cancer RadioTherapy (BiRT): A Personalised Approach To Delivering The Right Dose To The Right Place
Funder
National Health and Medical Research Council
Funding Amount
$753,565.00
Summary
We propose a new approach to treating prostate cancer with radiotherapy to move from the standard whole prostate treatment to a personalised treatment that varies radiation intensity throughout the prostate. We will mathematically combine features that influence radiotherapy effect from advanced imaging, clinical and biopsy information. This model will map out the radiotherapy dose required at each part of the prostate, to maximise killing of the cancer whilst minimising harm to normal tissue
The estimation of genotype-phenotype relationships from family data and of animal abundance from capture-recapture data with frequent capture occasions: A semiparametric approach. Semiparametric statistical methods allow researchers to only model those features of their data that are of interest, but still allow standard statistical inferences to be made about these features. The aim here is to develop non standard applications of semiparametric statistical methods in the estimation of genotype ....The estimation of genotype-phenotype relationships from family data and of animal abundance from capture-recapture data with frequent capture occasions: A semiparametric approach. Semiparametric statistical methods allow researchers to only model those features of their data that are of interest, but still allow standard statistical inferences to be made about these features. The aim here is to develop non standard applications of semiparametric statistical methods in the estimation of genotype-phenotype relationships from family data and the estimation of animal abundance from capture-recapture data. The methods will be applied to real data and their theoretical properties developed. The practical significance of the project is the flexible new statistical methods that will become available to researchers. The theoretical significance will be the insights into semiparametric methods gained by developing these nonstandard applications. The expected outcomes are the new statistical procedures and the resulting theoretical insights into semiparametric statistics.Read moreRead less
Patient-specific Computational Tools for Diagnosing and Treating Gait Disorders in Children with Cerebral Palsy. This proposal addresses one of the most fundamental and difficult questions related to the treatment of children with cerebral palsy: Why do these children walk in a crouched position, with excessively bent hips and knees? High-fidelity, patient-specific computer simulations of walking can help to answer this question and, in so doing, can improve the outcomes of orthopaedic surgeries ....Patient-specific Computational Tools for Diagnosing and Treating Gait Disorders in Children with Cerebral Palsy. This proposal addresses one of the most fundamental and difficult questions related to the treatment of children with cerebral palsy: Why do these children walk in a crouched position, with excessively bent hips and knees? High-fidelity, patient-specific computer simulations of walking can help to answer this question and, in so doing, can improve the outcomes of orthopaedic surgeries designed to correct movement abnormalities in these patients. Realistic computer simulations of human movement can play a pivotal role in healthcare through patient rehabilitation; in sports, through the development of personalized training programs for elite athletes; and in entertainment, through the creation of video games and animated films.Read moreRead less
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.
Large-scale three dimensional deformation of the lithosphere by subduction and mantle flow. We will be modelling of the dynamics of the Earth's crust and shallow lithosphere in response to the huge stresses created by plate motions. For Australia these stresses are transmitted from the distant plate boundaries, but they have a direct controlling influence on the evolution of the petroleum rich basins of Australia. These basins have reached maturity; further exploration will be in deep water wher ....Large-scale three dimensional deformation of the lithosphere by subduction and mantle flow. We will be modelling of the dynamics of the Earth's crust and shallow lithosphere in response to the huge stresses created by plate motions. For Australia these stresses are transmitted from the distant plate boundaries, but they have a direct controlling influence on the evolution of the petroleum rich basins of Australia. These basins have reached maturity; further exploration will be in deep water where geophysical prospecting methods are unreliable. Model-driven "exploration geodynamics" methods such as those we are developing will be needed to support traditional exploration techniques in these areas.Read moreRead less
Modelling The Effects Of Immunity On Influenza Transmission - Implications For Prevention And Vaccine Development
Funder
National Health and Medical Research Council
Funding Amount
$275,767.00
Summary
There is uncertainty about how many people can be infected by a single person with influenza at the start of an outbreak. Some data suggest that a single generation of transmission can infect 10-20 other people. With such a rate of growth (ie 10-20 fold every 3 days) the spread of an influenza outbreak is virtually unstoppable. Other data suggest that each person with influenza infects less than 2 other people on average. With such a lower rate of growth, control would be more feasible. Our proj ....There is uncertainty about how many people can be infected by a single person with influenza at the start of an outbreak. Some data suggest that a single generation of transmission can infect 10-20 other people. With such a rate of growth (ie 10-20 fold every 3 days) the spread of an influenza outbreak is virtually unstoppable. Other data suggest that each person with influenza infects less than 2 other people on average. With such a lower rate of growth, control would be more feasible. Our project will use data from historic and contemporary outbreaks of influenza and build mathematical models to explain the rate of growth of an influenza outbreak in terms of: 1. The proportion of people exposed to influenza who do not become ill (although there can be evidence of infection if careful studies are made). This proportion is about 33%. 2. The proportion of people who are protected from influenza by immunity, whether induced by vaccination or by past exposure to natural influenza infection (this can vary from 0% in isolated populations which have not seen influenza for many years up to 80 or 90% in urbanised populations that are exposed to influenza almost every season). 3. Different rates of contact between different people and groups of people - some may be exposed so often that their immunity is boosted regularly without them becoming severely ill; others, living in more isolated circumstances, may be rarely exposed, but when they are, they are more likely to become severely ill. 4. The effects of influenza vaccine in inducing protective immunity - it is well known that there is good protection if the vaccine is well matched to the circulating virus. 5. The effects of live virus infection in inducing (short-lived) protection against a wider range of influenza viruses. Our model results will be used to guide vaccine design and pandemic planning.Read moreRead less
Stein's method for probability approximation. Data of counts in time, such as incoming calls in telecommunications and the clusters of palindromes in a family of herpes-virus genomes, arise in an extraordinarily diverse range of fields from science to business. These problems can be modelled by sums of random variables taking values 0 and 1 in probability theory, thus permitting approximate calculations which are often good enough in practice. This project will obtain such approximate solutions ....Stein's method for probability approximation. Data of counts in time, such as incoming calls in telecommunications and the clusters of palindromes in a family of herpes-virus genomes, arise in an extraordinarily diverse range of fields from science to business. These problems can be modelled by sums of random variables taking values 0 and 1 in probability theory, thus permitting approximate calculations which are often good enough in practice. This project will obtain such approximate solutions and estimate the errors involved. Applications include analysis of data in insurance, finance, flood prediction in hydrology.Read moreRead less
Three dimensional computational models of geological basin and hinterland evolution incorporating lithospheric mantle and surface processes. Petroleum exploration in deepwater areas offshore Australia is becoming increasingly important as more accessible, shallow water oil reserves near exhaustion. Geological simulation is an important tool for understanding deep water basins where geophysical imaging techniques are less effective. This project will develop 3D computational models relevant to un ....Three dimensional computational models of geological basin and hinterland evolution incorporating lithospheric mantle and surface processes. Petroleum exploration in deepwater areas offshore Australia is becoming increasingly important as more accessible, shallow water oil reserves near exhaustion. Geological simulation is an important tool for understanding deep water basins where geophysical imaging techniques are less effective. This project will develop 3D computational models relevant to understanding the development and evolution of geological basins and the sediments that fill them. The models will be integrated with available offshore data for potentially prospective Australian basins in the Northwest Shelf and the Southern Australian margin.Read moreRead less
Random walks with long memory. This project aims to study novel random walk models with long memory, including systems of multiple random walkers that interact through their environment. This would provide a mathematical understanding of phenomena such as aggregation in colonies of bacteria, and ant colony optimisation algorithms. The project aims to produce highly cited publications, and to train future researchers.
Discovery Early Career Researcher Award - Grant ID: DE200101467
Funder
Australian Research Council
Funding Amount
$419,778.00
Summary
The geometric structure of spatial noise. Spatial noise is ubiquitous in nature and science: as interference in medical imaging, in oceanography, in the modelling of telecommunication networks etc. Despite this diversity of sources, spatial noise can be studied in a unified way by considering mathematical models that capture its essential features. This project aims to study spatial noise by analysing its geometric structure, for instance by considering the number of contour lines of the noise, ....The geometric structure of spatial noise. Spatial noise is ubiquitous in nature and science: as interference in medical imaging, in oceanography, in the modelling of telecommunication networks etc. Despite this diversity of sources, spatial noise can be studied in a unified way by considering mathematical models that capture its essential features. This project aims to study spatial noise by analysing its geometric structure, for instance by considering the number of contour lines of the noise, and the way these lines connect different regions of space. The project further aims to apply this analysis to construct statistical tests that can distinguish different classes of spatial noise, with potential applications across all of the disciplines mentioned above.Read moreRead less