Navigating tipping points in complex dynamical systems. This project aims to use applied mathematics to investigate the onset of tipping points in dynamical systems. Working with clinicians and practicing engineers, the project aims to contribute to the development of new treatment regimes for dynamical diseases and develop improved management strategies for resource focussed engineering industries. This should provide significant benefit to many areas, including the personalised treatment of di ....Navigating tipping points in complex dynamical systems. This project aims to use applied mathematics to investigate the onset of tipping points in dynamical systems. Working with clinicians and practicing engineers, the project aims to contribute to the development of new treatment regimes for dynamical diseases and develop improved management strategies for resource focussed engineering industries. This should provide significant benefit to many areas, including the personalised treatment of disease.Read moreRead less
Mathematical modeling of multicellular organization of epithelial tissues. This project will use mathematical modelling and computer simulations to understand the dynamic organisation of epithelial tissues in close interaction with ongoing laboratory experiments. The key challenge is to develop a multi-scale modelling framework that is capable of bridging the gap between biochemical and biophysical sub-cellular processes, cell-cell interactions and the large scale multicellular properties of tis ....Mathematical modeling of multicellular organization of epithelial tissues. This project will use mathematical modelling and computer simulations to understand the dynamic organisation of epithelial tissues in close interaction with ongoing laboratory experiments. The key challenge is to develop a multi-scale modelling framework that is capable of bridging the gap between biochemical and biophysical sub-cellular processes, cell-cell interactions and the large scale multicellular properties of tissues composed of large cell populations. This will require the design of novel mathematical approximation techniques and application of high performance parallel computing technology specifically adapted for the description of multicellular systems. Read moreRead less
A new hierarchy of mathematical models to quantify the role of ghrelin during cell invasion. Ghrelin is a recently-discovered growth factor that regulates appetite and promotes tumour growth by enhancing cell invasion. The mechanisms by which ghrelin enhances cell invasion are, at present, unknown. This innovative project will develop a new hierarchy of multiscale mathematical models that will be used to quantify how ghrelin modulates cell behaviour (motility, proliferation and death) and provid ....A new hierarchy of mathematical models to quantify the role of ghrelin during cell invasion. Ghrelin is a recently-discovered growth factor that regulates appetite and promotes tumour growth by enhancing cell invasion. The mechanisms by which ghrelin enhances cell invasion are, at present, unknown. This innovative project will develop a new hierarchy of multiscale mathematical models that will be used to quantify how ghrelin modulates cell behaviour (motility, proliferation and death) and provide insight into the precise details of how ghrelin promotes cell invasion. This project will demonstrate the potential for ghrelin-based strategies to control cell invasion. By linking appetite regulation and tumour growth, the outcomes from this project will inform Australian health policy in this important area.Read moreRead less
New data-driven mathematical models of collective cell motion. Cancer and chronic wounds are a national, and indeed, international health problem set to worsen as our population ages. Predictive and interpretive tools are required to improve our understanding of collective cell migration in relation to cancer and chronic wounds. This project will produce new validated mathematical tools for predicting collective cell migration in a general framework that can deal with application-specific detail ....New data-driven mathematical models of collective cell motion. Cancer and chronic wounds are a national, and indeed, international health problem set to worsen as our population ages. Predictive and interpretive tools are required to improve our understanding of collective cell migration in relation to cancer and chronic wounds. This project will produce new validated mathematical tools for predicting collective cell migration in a general framework that can deal with application-specific details, such as the role of cell shape and cell size. Although cell shape and size are known to affect collective cell migration, standard mathematical models ignore these details. This project will produce new predictive mathematical modelling tools that are validated by new experimental data. Read moreRead less
Modelling cell invasion incorporating the epithelial to mesenchymal transition: Exploring therapies to control wound healing and cancer progression. Cancer and wounds are closely related, commonly lethal, diseases. Both require cell growth and invasion. This project will apply experimental measurements to create new mathematical models of cancer and wounds; models that will inform new targets and strategies for the treatment of these deadly diseases.
Special Research Initiatives - Grant ID: SR0354592
Funder
Australian Research Council
Funding Amount
$20,000.00
Summary
Mathematical Biosciences Network. The network's aim is to stimulate the transfer of ideas, scientific insights, models and computational methods across the interface of mathematics and biology. Collaborative effort and training will occur to push forward the frontiers of biology and mathematics related to the fundamental problems of life, including how embryos develop, how diseases can be controlled, and how to describe and predict intra- and inter-cellular processes. A major theme of the netwo ....Mathematical Biosciences Network. The network's aim is to stimulate the transfer of ideas, scientific insights, models and computational methods across the interface of mathematics and biology. Collaborative effort and training will occur to push forward the frontiers of biology and mathematics related to the fundamental problems of life, including how embryos develop, how diseases can be controlled, and how to describe and predict intra- and inter-cellular processes. A major theme of the network is the transfer of information through an e-science grid allowing direct access to experimental data and model simulations.Read moreRead less
System identification of microstructure in the brain using magnetic resonance. Magnetic Resonance Imaging technologies will be exploited to probe the microstructure of the brain, using powerful Bayesian optimisation techniques and innovative uses of magnetic resonance. The project will in particular develop non-invasive imaging methods to quantify iron content in the brain, important for research on dementia and Alzheimer's disease.
Discovery Early Career Researcher Award - Grant ID: DE120101113
Funder
Australian Research Council
Funding Amount
$375,000.00
Summary
Mathematical modelling of breast cancer immunity: guiding the development of preventative breast cancer vaccines. The project will apply various methods from mathematical modelling to simulate anti-breast cancer immune responses to incipient tumours. Results from simulation and analysis will help develop, assess, and optimise preventative breast cancer vaccines for further testing in future experimental studies.
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
Functional state observers for large-scale interconnected systems. This project will produce conceptual advances with new design rules to develop robust and efficient functional state observers for interconnected systems. The outcomes will advance the theory of functional observers and improve the operation, efficiency and performance of critical infrastructure such as power grids, water and traffic networks.