Innovative mathematical modelling to determine incorporation of gene therapy in different cell lineages; Human Immunodeficiency Virus (HIV) as a model setting. Gene therapy is a promising therapeutic that is being developed to address genetic diseases and viral infections such as Human Immunodeficiency Virus (HIV). This project will produce mathematical models of how gene therapy delivered to one type of cell can differentiate into the desired end target and impact disease.
Can an anti-HIV gene in blood stem cells protect from immune depletion by HIV? Approximately 15,000 individuals in Australia are currently HIV infected. Gene therapy has the capacity to remove antiretroviral treatment related issues, dramatically decrease treatment costs and simplify treatment of HIV.
In this study we will model a new approach to treat HIV in which the patient's own cells are used as the therapy by incorporating an anti-HIV gene. These cells are then re-introduced into the p ....Can an anti-HIV gene in blood stem cells protect from immune depletion by HIV? Approximately 15,000 individuals in Australia are currently HIV infected. Gene therapy has the capacity to remove antiretroviral treatment related issues, dramatically decrease treatment costs and simplify treatment of HIV.
In this study we will model a new approach to treat HIV in which the patient's own cells are used as the therapy by incorporating an anti-HIV gene. These cells are then re-introduced into the patient.
The strong mathematical focus of this project, and its application to a promising approach against HIV, will place Australia at the forefront of the mathematics of gene research and contribute to the National Priority Area of Promoting and Maintaining Good Health and the Priority Goal of Preventative Healthcare.
Read moreRead less
Hypergraph models for complex discrete systems. This project aims to better understand the structure and properties of very large hypergraphs of various kinds. Hypergraphs are very general mathematical objects which can be used to model complex discrete systems. They arise naturally in many areas such as ecology, chemistry and computer science. Despite this, our theoretical understanding of very large, or random, hypergraphs lags far behind the intensely-studied special case of graphs. This proj ....Hypergraph models for complex discrete systems. This project aims to better understand the structure and properties of very large hypergraphs of various kinds. Hypergraphs are very general mathematical objects which can be used to model complex discrete systems. They arise naturally in many areas such as ecology, chemistry and computer science. Despite this, our theoretical understanding of very large, or random, hypergraphs lags far behind the intensely-studied special case of graphs. This project will answer many fundamental questions about large, random hypergraphs. The expected outcomes of the project also include new tools for working with hypergraphs, such as efficient algorithms for sampling hypergraphs. These outcomes will benefit researchers who use hypergraphs in their work and will enhance Australia's reputation for research in this area.Read moreRead less
Liquidity in financial markets. This project aims to develop a theory which models the effect of liquidity on option prices under different market conditions. Economic or financial crises are inevitable and affect economics. During or after a major financial crisis, market liquidity usually becomes risky and needs to be studied. Through both empirical and theoretical explorations, this project will quantify and measure liquidity risk and its effect on the options markets. It will develop a frame ....Liquidity in financial markets. This project aims to develop a theory which models the effect of liquidity on option prices under different market conditions. Economic or financial crises are inevitable and affect economics. During or after a major financial crisis, market liquidity usually becomes risky and needs to be studied. Through both empirical and theoretical explorations, this project will quantify and measure liquidity risk and its effect on the options markets. It will develop a framework to help market regulators manage illiquidity, enhance the efficiency of option trading in illiquid markets and help in the detection of market manipulation.Read moreRead less
New Frontiers and Advances in Discrete Integrable Systems. Integrable systems boast a long and venerable history, and have such famous members as the Kepler system, the Korteweg-de Vries equation, and the sine-Gordon equation. More recently, interest in integrable systems has expanded to include systems with discrete time, that is, ordinary difference equations (or maps) and integrable partial difference equations. These discrete integrable systems are arguably more fundamental than the continuo ....New Frontiers and Advances in Discrete Integrable Systems. Integrable systems boast a long and venerable history, and have such famous members as the Kepler system, the Korteweg-de Vries equation, and the sine-Gordon equation. More recently, interest in integrable systems has expanded to include systems with discrete time, that is, ordinary difference equations (or maps) and integrable partial difference equations. These discrete integrable systems are arguably more fundamental than the continuous-time ones. Based upon recent breakthroughs this study will combine analysis, geometry, and computer algebra to expand and systematise this new interdisciplinary field of discrete integrable systems.Read moreRead less
Unpacking the immune system with applied mathematics. This project aims to model immune interactions across cells and structures spanning scales of nanometres to millimetres. It expects to develop innovative mathematical insights, improve our understanding of immunology, and consolidate collaborations with top American and European laboratories and groups. Expected outcomes include cutting-edge techniques for multiscale biological modelling and improved prediction and analysis of immune dynami ....Unpacking the immune system with applied mathematics. This project aims to model immune interactions across cells and structures spanning scales of nanometres to millimetres. It expects to develop innovative mathematical insights, improve our understanding of immunology, and consolidate collaborations with top American and European laboratories and groups. Expected outcomes include cutting-edge techniques for multiscale biological modelling and improved prediction and analysis of immune dynamics. The project should provide benefits to industries where highly organised behaviours are important, for example those interested in robot swarming, optimal transportation, and epidemic management. It should also benefit Australian students and researchers with novel overseas training opportunities.Read moreRead less
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE0668549
Funder
Australian Research Council
Funding Amount
$280,000.00
Summary
Major upgrade of the computing hardware and software for the widely used BioManager bioinformatic service. ANGIS has been an Australian national facility for bioinformatics since 1991, now with over 4000 users across 150 university schools or departments, government departments, hospitals and research institutes. The grant will provide the computer upgrade and software support needed to handle the enormous increases in database size and complexity and expand the service into new areas of bioinfo ....Major upgrade of the computing hardware and software for the widely used BioManager bioinformatic service. ANGIS has been an Australian national facility for bioinformatics since 1991, now with over 4000 users across 150 university schools or departments, government departments, hospitals and research institutes. The grant will provide the computer upgrade and software support needed to handle the enormous increases in database size and complexity and expand the service into new areas of bioinformatics. Bioinformatics is critical to much of modern biology, and the improvements will enhance research and data analysis in many areas of research, leveraging more value from the research being undertaken by users. Read moreRead less
Dynamical systems theory and mathematical modelling of viral infections. This project aims to use mathematical modelling to elucidate the emergence of complex, population-level behaviour from local interactions. In particular, the project will study the self-organising dynamics of the immune response. The project expects to develop new mathematical models of self-organisation, advance links between computational agent-based modelling and dynamical systems modelling, and build new tools for mat ....Dynamical systems theory and mathematical modelling of viral infections. This project aims to use mathematical modelling to elucidate the emergence of complex, population-level behaviour from local interactions. In particular, the project will study the self-organising dynamics of the immune response. The project expects to develop new mathematical models of self-organisation, advance links between computational agent-based modelling and dynamical systems modelling, and build new tools for mathematically analysing complex biological systems. Expected outcomes include strengthened collaborations within Australia and with South Korea. Expected benefits include joint research funding with Korean institutions, increased international visibility, and expanded scope for high school and community outreach.Read moreRead less
Development of a multivariate physiologic state space analysis framework for characterising functional properties of the cardiovascular system. Pathologies of the cardiovascular system arising from heart diseases make a major contribution to morbidity and mortality in the Australian community. This project will provide new diagnostic modalities based on advanced noninvasive bioinstrumentation, signal processing and model-based analytical methods to identify early signs of developing disease or t ....Development of a multivariate physiologic state space analysis framework for characterising functional properties of the cardiovascular system. Pathologies of the cardiovascular system arising from heart diseases make a major contribution to morbidity and mortality in the Australian community. This project will provide new diagnostic modalities based on advanced noninvasive bioinstrumentation, signal processing and model-based analytical methods to identify early signs of developing disease or the acute exacerbation of existing disease. The impact of these new technologies on the early diagnosis and improved triaging of patients in emergency departments is potentially profound and could result in improved healthcare outcomes for the patients and reduced admissions to hospital as well as the development of a substantial international market.Read moreRead less
Convex optimisation for control, signal processing and communication systems. Renewable control of complex systems, signal processing, telecommunication and in general any industries interested in these applications stand to benefit from our research. In particular, the automotive and defence industries stand to benefit from the nonlinear control design aspect of the proposed project outcomes. The
telecommunications industries, on the other hand, benefit from the signal processing and communicat ....Convex optimisation for control, signal processing and communication systems. Renewable control of complex systems, signal processing, telecommunication and in general any industries interested in these applications stand to benefit from our research. In particular, the automotive and defence industries stand to benefit from the nonlinear control design aspect of the proposed project outcomes. The
telecommunications industries, on the other hand, benefit from the signal processing and communications aspects. We also build a core expertise in optimisation and its applications in Australia by training PhD students and Postdoctoral researchers. The research collaborations will cement and maintain the international linkages which will improve applied research in AustraliaRead moreRead less