Mathematical modelling can provide vital information on the effectiveness and practical implementation of microbicides and vaccines against HIV. This project will produce mathematical models of the earliest stages of HIV infection suitable for investigation of the implementation of vaccines and microbicides. It will provide a framework to investigate why these interventions have performed poorly to date, and how these may be better implemented.
A geometric theory for travelling waves in advection-reaction-diffusion models. Cell migration patterns often develop distinct sharp interfaces between identifiably different cell populations within a tissue. This research will develop new geometric methods for the mathematical analysis of cell migration models, and will design diagnostic tools to identify key parameters that cause and control these patterns and interfaces.
An interdisciplinary approach to host-pathogen interactions in infection. This project aims to understand the molecular and cellular interactions between host and parasite, as well as providing a quantitative framework for analysing infection dynamics in other systems. Infection involves a complex interaction between the host and the parasite, which is very dynamic and therefore difficult to study by traditional sampling and analysis approaches. This project has combined mathematical modelling w ....An interdisciplinary approach to host-pathogen interactions in infection. This project aims to understand the molecular and cellular interactions between host and parasite, as well as providing a quantitative framework for analysing infection dynamics in other systems. Infection involves a complex interaction between the host and the parasite, which is very dynamic and therefore difficult to study by traditional sampling and analysis approaches. This project has combined mathematical modelling with a novel experimental protocol to allow the study of kinetics of parasite replication in vivo. Expected outcomes will provide significant benefits, such as new avenues for vaccination and immune intervention.Read moreRead less
Special Research Initiatives - Grant ID: SR0354716
Funder
Australian Research Council
Funding Amount
$10,000.00
Summary
Energetically Open Systems Research Network Study. Conceptual frameworks arising in the physical sciences, such as non-equilibrium statistical mechanics and thermodynamics, synergetics, chaos and dynamical systems theory, are seminal in the emerging science of complexity. This study will lay the groundwork for a network to link Australian and overseas research on these fundamental concepts, and their application within the context of entropy-producing systems vital to the long-term sustainabilit ....Energetically Open Systems Research Network Study. Conceptual frameworks arising in the physical sciences, such as non-equilibrium statistical mechanics and thermodynamics, synergetics, chaos and dynamical systems theory, are seminal in the emerging science of complexity. This study will lay the groundwork for a network to link Australian and overseas research on these fundamental concepts, and their application within the context of entropy-producing systems vital to the long-term sustainability of the earth - oceans, atmosphere, biosphere, CO2-free energy production, space and solar environment. The network would facilitate the development of young investigators and be linked into wider complex systems networks such as the CSIRO Centre for Complex Systems Science.Read moreRead less
Understanding the dynamics of malaria infection. Malaria infection kills around one million patients each year and this project involves an interdisciplinary team who will directly measure how the parasite grows and is killed by the immune system. A better understanding of parasite growth and control will help develop better drugs therapy and vaccination for this important infection.
Discovery Early Career Researcher Award - Grant ID: DE180101098
Funder
Australian Research Council
Funding Amount
$374,200.00
Summary
New mathematical theory for fluid motion on surfaces with holes. This project aims to develop new explicit mathematical results to enhance the understanding of potential theory – a fundamental area of mathematics - on surfaces with complicating geometrical properties. There are very few such fundamental results on complicated curved surfaces, such as those with holes. This project should provide a toolbox for solving many different mathematical problems on curved surfaces. The new results should ....New mathematical theory for fluid motion on surfaces with holes. This project aims to develop new explicit mathematical results to enhance the understanding of potential theory – a fundamental area of mathematics - on surfaces with complicating geometrical properties. There are very few such fundamental results on complicated curved surfaces, such as those with holes. This project should provide a toolbox for solving many different mathematical problems on curved surfaces. The new results should also have application to the analysis of fluid flows over porous media and practical engineering structures.Read moreRead less
Elliptic special functions. Although elliptic functions and special functions are both classical areas of mathematics, the field of elliptic special functions was only established in the last two decades. It combines ideas from analysis, modular forms and statistical mechanics to tackle problems in number theory (elliptic curves), algebra (elliptic quantum groups), mathematical physics (Seiberg duality) and more. This project aims to settle two important problems in the field of elliptic special ....Elliptic special functions. Although elliptic functions and special functions are both classical areas of mathematics, the field of elliptic special functions was only established in the last two decades. It combines ideas from analysis, modular forms and statistical mechanics to tackle problems in number theory (elliptic curves), algebra (elliptic quantum groups), mathematical physics (Seiberg duality) and more. This project aims to settle two important problems in the field of elliptic special functions: the resolution of Boyd's conjectures concerning Mahler measures and L-values of elliptic curves, and the construction of an Askey-Wilson-Koorwinder theory of elliptic biorthogonal functions for the A-type root system.Read moreRead less
Social and geographical location and its impact on mathematics teaching and learning. Too many students from poor urban backgrounds or from rural communities are at risk of underperforming in school mathematics. This project identifies the critical factors that contribute to this failure and seeks to develop improved practices to enable greater access to school mathematics.
Algorithmic engineering and complexity analysis of protocols for consensus. Opinions, rankings, observations, votes, gene sequences, sensor-networks in security systems or climate models. Massive datasets and the ability to share information at unprecedented speeds, makes finding the most central representative, the Consensus Problem, extremely complex. This research delivers new insights and new, efficient algorithms.
Numeracy, Youth and Employment: A study of numeracy demands in contemporary workplaces in regional Queensland. In contemporary workplaces, the numeracy demands are varied, yet little is known about their form or skill requirements. In order for schools and other agencies to better prepare Australian youth for the demands of contemporary work, a clearer understanding of the intersection of numeracy and work is needed. This project seeks to identify the numeracy demands across a range of industr ....Numeracy, Youth and Employment: A study of numeracy demands in contemporary workplaces in regional Queensland. In contemporary workplaces, the numeracy demands are varied, yet little is known about their form or skill requirements. In order for schools and other agencies to better prepare Australian youth for the demands of contemporary work, a clearer understanding of the intersection of numeracy and work is needed. This project seeks to identify the numeracy demands across a range of industries in the Gold Coast region of Queensland. As well as examining the types of numeracy demands, the project identifies some of the best ways in which numeracy skills can be improved to meet the demands across those industries.Read moreRead less