Discovery Early Career Researcher Award - Grant ID: DE200100988
Funder
Australian Research Council
Funding Amount
$425,333.00
Summary
From cells to whales: A mathematical framework to understand navigation. This project aims to understand what drives the navigation of small and large organisms. To achieve this, the project seeks to develop a mathematical framework that unifies models of navigation, communication and uncertainty, for the first time. This is significant as navigation underpins fundamental behaviour such as migration. Expected outcomes of this project include novel insights into the mechanisms underlying navigati ....From cells to whales: A mathematical framework to understand navigation. This project aims to understand what drives the navigation of small and large organisms. To achieve this, the project seeks to develop a mathematical framework that unifies models of navigation, communication and uncertainty, for the first time. This is significant as navigation underpins fundamental behaviour such as migration. Expected outcomes of this project include novel insights into the mechanisms underlying navigation, and new mathematical techniques required to construct the framework. The mathematical framework will be employed to explore and explain critical biological phenomena such as the impact of noise pollution on whale migration, and the conditions required for successful cellular navigation.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.
Building macroscale models from microscale probabilistic models. Spatial patterns arise in biological and physical processes. Understanding how local individual-based functions, such as movement and interactions between individuals, give rise to global spatial distributions and patterns in populations of individuals is generating much interest. Probabilistic agent-based models provide information about the movement of individuals, whereas continuum models provide information about the global pro ....Building macroscale models from microscale probabilistic models. Spatial patterns arise in biological and physical processes. Understanding how local individual-based functions, such as movement and interactions between individuals, give rise to global spatial distributions and patterns in populations of individuals is generating much interest. Probabilistic agent-based models provide information about the movement of individuals, whereas continuum models provide information about the global properties, such as spread of populations. This project will provide tools for determining the connection between the two types of models, thereby linking the behaviour on microscopic and macroscopic scales.Read moreRead less
Mathematical and statistical methods for modelling invivo pathogen dynamics. This project aims to develop mathematical models and Bayesian statistical methods that better capture how natural defence responses and drugs help control infection. When viruses (e.g. influenza) or parasites (e.g. malaria) invade the human body, they begin to replicate. To date, only simple mathematical models have been developed to capture these processes, and these models are not well formulated. This project will im ....Mathematical and statistical methods for modelling invivo pathogen dynamics. This project aims to develop mathematical models and Bayesian statistical methods that better capture how natural defence responses and drugs help control infection. When viruses (e.g. influenza) or parasites (e.g. malaria) invade the human body, they begin to replicate. To date, only simple mathematical models have been developed to capture these processes, and these models are not well formulated. This project will improve biomathematics and biostatistical algorithms for pathogen dynamics and is ultimately expected to benefit public health and clinical research aimed at alleviating the effect of infectious diseases on human health.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE170100785
Funder
Australian Research Council
Funding Amount
$345,491.00
Summary
Mathematical and statistical modelling of antimalarial drug action. This project aims to develop a mathematical model to optimise global antimalarial treatment policy. Malaria-causing parasites are resistant to the most potent antimalarial drug available. If left unaddressed, a catastrophic rise in global malaria incidence and mortality could occur. Changes to global antimalarial treatment policy increasingly rely on mathematical models, but they do not encompass recent breakthroughs in antimala ....Mathematical and statistical modelling of antimalarial drug action. This project aims to develop a mathematical model to optimise global antimalarial treatment policy. Malaria-causing parasites are resistant to the most potent antimalarial drug available. If left unaddressed, a catastrophic rise in global malaria incidence and mortality could occur. Changes to global antimalarial treatment policy increasingly rely on mathematical models, but they do not encompass recent breakthroughs in antimalarial drug action and the immune response. This project’s model is expected to improve antimalarial drug dosing regimens and control the spread of antimalarial drug resistance.Read moreRead less
Systems modelling of the cardiac fibroblast. The cardiac fibroblast is a specialised cell in the heart. New evidence shows that this cell type is central to heart function, but relatively little is known about how and why. This project will develop mathematical modelling to characterise how the cardiac fibroblast regulates the functioning of the adult heart.
Design of Real-time Optimisation Methods with Guaranteed Performance. The project aim is the development of a framework for the advancement of optimisation algorithms operating in real-time applications. This project expects to generate new knowledge in the area of systems theory and optimisation, and its application to time-varying problems. Expected outcomes of this project should lead to a new theoretical and practical framework that aims to ameliorate the shortcomings of the existing approac ....Design of Real-time Optimisation Methods with Guaranteed Performance. The project aim is the development of a framework for the advancement of optimisation algorithms operating in real-time applications. This project expects to generate new knowledge in the area of systems theory and optimisation, and its application to time-varying problems. Expected outcomes of this project should lead to a new theoretical and practical framework that aims to ameliorate the shortcomings of the existing approaches that struggle to rapidly respond to new information. This should provide significant benefits. Specifically, this project aims to facilitate a technological leap that generates smaller, faster, and more powerful embedded systems such as broadband services, mobile phones, medical imagining, radar and avionics.Read moreRead less
Digitally networked dynamical systems: Performance and robustness analysis. The project aim is to advance mathematical and computational tools for analyzing collections of dynamical systems that interact with each other by the digital exchange of information. The significance of this aim stems from the emergence and growing complexity and scale of such cyber-physical networks in diverse domains, including agriculture, manufacturing, transport, and infrastructure management. The expected outcomes ....Digitally networked dynamical systems: Performance and robustness analysis. The project aim is to advance mathematical and computational tools for analyzing collections of dynamical systems that interact with each other by the digital exchange of information. The significance of this aim stems from the emergence and growing complexity and scale of such cyber-physical networks in diverse domains, including agriculture, manufacturing, transport, and infrastructure management. The expected outcomes will broaden the scope for exploring achievable performance in the design and deployment of systems that leverage networked interaction for operational gains. Beyond the technical advances, benefits will include sustaining Australia's strong reputation in systems engineering research and researcher training in this area.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
Bodies in space. By investigating how a change in shape of the human body can produce a change in spatial orientation, the project will bring a fundamental advance of knowledge in the intersection of applied mathematics, sports science and mechanical engineering. These knowledge advances will lead to a novel theory regarding the control of the aerial dynamics of athletes, specifically springboard and platform divers. When applied in collaboration with world class Australian athletes, this theory ....Bodies in space. By investigating how a change in shape of the human body can produce a change in spatial orientation, the project will bring a fundamental advance of knowledge in the intersection of applied mathematics, sports science and mechanical engineering. These knowledge advances will lead to a novel theory regarding the control of the aerial dynamics of athletes, specifically springboard and platform divers. When applied in collaboration with world class Australian athletes, this theory will result in innovative platform and springboard diving techniques and improved performance. The reach of new insights generated by this work extends to many other fields, including robotics, spacecraft dynamics and nano technology.Read moreRead less