The Sakai scheme-Askey table correspondence, analogues of isomonodromy and determinantal point processes. The Australian mathematical sciences enjoys two research groups with active interests on Painleve equations in applied mathematics which are able to address difficult problems. Such a problem is to give a formulation of Sakai's 2001 classification of the Painleve equations in a form most suitable for applications. For this links will be made with a seemingly distinct area of mathematics - t ....The Sakai scheme-Askey table correspondence, analogues of isomonodromy and determinantal point processes. The Australian mathematical sciences enjoys two research groups with active interests on Painleve equations in applied mathematics which are able to address difficult problems. Such a problem is to give a formulation of Sakai's 2001 classification of the Painleve equations in a form most suitable for applications. For this links will be made with a seemingly distinct area of mathematics - the Askey table from the theory of hypergeometric orthogonal polynomials. A number of tractable PhD projects are suggested by this proposal.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE140101201
Funder
Australian Research Council
Funding Amount
$366,404.00
Summary
Planar Brownian motion and complex analysis. This project will study a number of related problems concerning both Brownian motion and complex analysis. These include questions about Brownian exit time, conformally invariant processes such as Stochastic Loewner Evolution, and the fundamentals of complex analysis. Many of these questions are at the forefront of modern probability theory. The outcomes of this project will bring the questions considered into a position of prominence in the fields of ....Planar Brownian motion and complex analysis. This project will study a number of related problems concerning both Brownian motion and complex analysis. These include questions about Brownian exit time, conformally invariant processes such as Stochastic Loewner Evolution, and the fundamentals of complex analysis. Many of these questions are at the forefront of modern probability theory. The outcomes of this project will bring the questions considered into a position of prominence in the fields of probability and analysis, and bring international attention to Australia as a hub of important research.Read moreRead less
Real groups, Hodge theory, and the Langlands program. This mathematics project aims to settle open questions in real groups. The real groups are the fundamental symmetries occurring in nature and are important both in number theory and in the physical sciences. In particular, this project aims to reach a comprehensive understanding of Langlands duality for real groups, investigate how Hodge theory can be used to describe the unitary dual, and investigate the micro-local structure of systems of d ....Real groups, Hodge theory, and the Langlands program. This mathematics project aims to settle open questions in real groups. The real groups are the fundamental symmetries occurring in nature and are important both in number theory and in the physical sciences. In particular, this project aims to reach a comprehensive understanding of Langlands duality for real groups, investigate how Hodge theory can be used to describe the unitary dual, and investigate the micro-local structure of systems of differential equations. Potential benefits include increasing the international stature of mathematics in Australia and improving the quality of the workforce.Read moreRead less
Symmetries in real and complex geometry. This project concerns an important area of abstract modern geometry. The results and techniques of the project will lead to significant progress in this area. It will benefit the national scientific reputation, strengthen the research profile of the home institutions, and provide training to young researchers.
Integrating Immunity And Genetics In Follicular Lymphoma To Establish A Prognostic Score Fit For The Modern Era
Funder
National Health and Medical Research Council
Funding Amount
$1,377,174.00
Summary
Follicular lymphoma (FL) is divided into early and advanced stages. Early stage FL is frequently cured, but there is no way to identify who will be cured and who won't. By contrast advanced stage FL is incurable. Our unique access to well-annotated clinical trial and population based cohorts allows us to perform a detailed biological comparison of early and advanced FL, to gain a deeper understanding of the impediments to eradicating the disease, and to predict outcome to conventional therapy.
Development Of Therapeutically Useful Human Artificial Chromosomes For Gene Delivery And Optimal Gene Expression
Funder
National Health and Medical Research Council
Funding Amount
$496,986.00
Summary
Gene therapy is an exciting new form of treatment for genetic disorders aimed at providing long-term correction of the problems at source - namely the affected gene. The biggest technical hurdle facing gene therapy is to be able to deliver the therapeutic genes efficiently and safely into patient cells. Many gene therapy protocols are currently being trialled clinically. These protocols, based mostly on the use of attenuated viruses to deliver the genes, carry potential risks to the patients in ....Gene therapy is an exciting new form of treatment for genetic disorders aimed at providing long-term correction of the problems at source - namely the affected gene. The biggest technical hurdle facing gene therapy is to be able to deliver the therapeutic genes efficiently and safely into patient cells. Many gene therapy protocols are currently being trialled clinically. These protocols, based mostly on the use of attenuated viruses to deliver the genes, carry potential risks to the patients in terms of infection, immune response, and germline modification. We have developed the first stage of a new technology for gene delivery that does not require the use of viruses. This technology is based on the generation of human artificial chromosomes, which are smaller versions of the naturally occurring chromosomes that carry all the genes inside our cells. Safety in these artificial chromosomes comes from the use of entirely human materials for their engineering. These artificial chromosomes also have other advantages over the viral approaches, including allowing large genes to be carried, and providing a permanent cure in a single treatment. We have already successfully constructed, published, and patented a number of first-generation human artificial chromosomes. The current project aims to complete the next proof-of-concept milestone towards the further development of this technology. Specifically, we propose to demonstrate the ability of the artificial chromosomes to carry genes and provide sustainable expression of these genes in cells and in animal models. Success in this study will allow the technology to proceed rapidly into commercialisation and clinical trial as a new improved tool for gene delivery and gene therapy.Read moreRead less
Discovering And Targeting Genes Regulating Skeletal Muscle Function, Metabolism, And Adaptations To Exercise Interventions
Funder
National Health and Medical Research Council
Funding Amount
$431,000.00
Summary
Muscle wasting and decreased in mitochondrial function due to ageing or lack of physical activity are associated with reduced quality of life. The overarching aim is to develop a unique research program focusing on targeting specific genes, and to discover novel genes regulating muscle wasting and mitochondrial (dis)function. I anticipate this approach to assist in the development of targeted and personalised prevention and therapy for diseases associated with muscle (dis)function.
Most eye diseases have a genetic contribution, whether rare disorders affecting children such as retinoblastoma or congenital cataracts through to common disorders of older people such as myopia, age-related macular degeneration or glaucoma. We will continue our successful research to find genes that cause these diseases and use this to improve patient care and prevent blindness. We will work out how families can use this genetic information to participate in trials to develop new treatments.
Measuring The Productive Efficiency Of Hospitals - A Comparison Of Parametric And Non-parametric Approaches
Funder
National Health and Medical Research Council
Funding Amount
$61,815.00
Summary
In the face of rising health service costs, an ageing population, and falling private health insurance rates, the efficient use of scarce health service resources has become a central theme in health system reform. Productive (or technical) efficiency is a key aspect of health system reform - that given health services are produced with the minimum feasible amount of resources. Despite the importance of technical efficiency there have been few published studies in Australia which measure technic ....In the face of rising health service costs, an ageing population, and falling private health insurance rates, the efficient use of scarce health service resources has become a central theme in health system reform. Productive (or technical) efficiency is a key aspect of health system reform - that given health services are produced with the minimum feasible amount of resources. Despite the importance of technical efficiency there have been few published studies in Australia which measure technical efficiency in the health sector. This study will develop theoretical and empirical approaches to measuring technical efficiency in the production of hospital services using data from Victoria. Measures of hospital technical efficiency will be developed using two quantitative modelling approaches: stochastic frontier modelling and data envelopment analysis. Results will be used to investigate the impact of patient and hospital characteristics on efficiency, and to identify economies of scale and scope in the provision of hospital services. The robustness of results to changes in variables, the sample of hospitals studied, and model assumptions will be tested, and two techniques will be compared to assess their appropriateness in the health services context which has not previously been done. Criteria for assessing the approaches include the degree to which: assumptions affect the robustness of results; the techniques capture the salient features of health services production; and the techniques produce similar rankings and estimates of inefficiency. The methods used will represent a significant contribution to international knowledge of hospital efficiency measurement, and the relationships between hospital characteristics, casemix, and efficiency. The study wil provide improved measures of hospital efficiency in Victoria, and will inform debate on hospital funding policy.Read moreRead less
An Integrated Approach For The Efffective Adoptive Immunotherapy Of Cancer
Funder
National Health and Medical Research Council
Funding Amount
$468,119.00
Summary
Killer T lymphocytes can penetrate tumors and their transfer into cancer patients has demonstrated some encouraging results, but this form of immunotherapy remain ineffective in most cancer patients. We propose to improve the tumor trafficking and anti-tumor activities of killer cells by genetically engineering them with proteins that will enable them to recognise and destroy cancer cells. The outcomes of this project will validate this novel approach for treatment of cancer patients.