Computational modelling of nanofluids for industrial applications. The use of nanoparticles in heat transfer fluids, then known as nanofluids, increases their specific heat and thermal conductivity. Recent experimental works highlight that anomalous transport phenomena are evident in nanofluids that cannot be adequately described by classical conservation laws. We will extend these conservation laws to incorporate fractional operators to capture the fluid memory effects and the impact of particl ....Computational modelling of nanofluids for industrial applications. The use of nanoparticles in heat transfer fluids, then known as nanofluids, increases their specific heat and thermal conductivity. Recent experimental works highlight that anomalous transport phenomena are evident in nanofluids that cannot be adequately described by classical conservation laws. We will extend these conservation laws to incorporate fractional operators to capture the fluid memory effects and the impact of particle clustering. Computational modelling and experimental investigations will be undertaken to identify the heat transfer mechanisms of various nanofluids. The outcomes of the work will increase knowledge on nanofluids and offer a significant opportunity to improve the efficiency of many thermal engineering 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
ARC Centre of Excellence for the Mathematical Analysis of Cellular Systems. ARC Centre of Excellence for the Mathematical Analysis of Cellular Systems. The ARC Centre for the Mathematical Analysis of Cellular Systems aims to deliver the mathematics required to compute life. The Centre will deliver innovation in computational and mathematical biology and establish in silico biology alongside in vivo and in vitro biology. These models will allow us to understand the complexity of life at the cellu ....ARC Centre of Excellence for the Mathematical Analysis of Cellular Systems. ARC Centre of Excellence for the Mathematical Analysis of Cellular Systems. The ARC Centre for the Mathematical Analysis of Cellular Systems aims to deliver the mathematics required to compute life. The Centre will deliver innovation in computational and mathematical biology and establish in silico biology alongside in vivo and in vitro biology. These models will allow us to understand the complexity of life at the cellular level and enable new ways of combining diverse and heterogenous data. This will allow us to understand the mechanisms underlying cellular behaviour, and to apply rational design engineering methods in order to control the dynamics of biological systems. Read moreRead less
Networks: New links between spectrum, dynamics, rewirings and applications. Modern network science has transformed the study of complex systems and led to innovations in many disciplines. This project intends to develop breakthrough theories for control of complex networked system behaviour via interventions of the link-rewiring type. New approaches will be developed for non-random, assortative and/or structured networks, which are poorly understood and difficult to deal with, despite being the ....Networks: New links between spectrum, dynamics, rewirings and applications. Modern network science has transformed the study of complex systems and led to innovations in many disciplines. This project intends to develop breakthrough theories for control of complex networked system behaviour via interventions of the link-rewiring type. New approaches will be developed for non-random, assortative and/or structured networks, which are poorly understood and difficult to deal with, despite being the real-world norm and despite their impact. The results will give new insights into epidemic outbreaks and their impact on vulnerable groups (e.g., elderly and indigenous), and provides methods to enforce resilience of infrastructure networks such as power grids, thereby providing significant economic and societal benefits. Read moreRead less
Distributed Optimisation without Central Coordination. This project will develop the mathematical foundations for discovery and analysis of iterative methods for optimisation problems in distributed computing systems. Most methods in distributed optimisation were not designed for distributed computing, rather they were adapted for purpose post-hoc. By building on recent advances in monotone operator splitting, this project expects to develop a mathematical theory for decentralised optimisation a ....Distributed Optimisation without Central Coordination. This project will develop the mathematical foundations for discovery and analysis of iterative methods for optimisation problems in distributed computing systems. Most methods in distributed optimisation were not designed for distributed computing, rather they were adapted for purpose post-hoc. By building on recent advances in monotone operator splitting, this project expects to develop a mathematical theory for decentralised optimisation algorithms specially designed for distributed systems. The framework is expected to produce a suite of algorithms, each customised to exploit a specific network configuration. The project will provide significant benefits in distributed machine learning applications such as federated learning.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE240100755
Funder
Australian Research Council
Funding Amount
$430,788.00
Summary
Fluid dynamics of underground hydrogen storage. The project seeks to understand the flow of hydrogen in underground porous layers. This will be achieved through mathematical models of the continuum mechanics governing the injection and withdrawal of hydrogen. The framework will account for a variety of physical and biological mechanisms. Underground storage of zero-carbon hydrogen provides an ideal route to overcome the intermittency of renewable energy. The project outcomes include a mathematic ....Fluid dynamics of underground hydrogen storage. The project seeks to understand the flow of hydrogen in underground porous layers. This will be achieved through mathematical models of the continuum mechanics governing the injection and withdrawal of hydrogen. The framework will account for a variety of physical and biological mechanisms. Underground storage of zero-carbon hydrogen provides an ideal route to overcome the intermittency of renewable energy. The project outcomes include a mathematical description of the response of two-phase flow instabilities to injection and withdrawal, and dynamical insights into the role of microbial growth on flow in porous media. Expected benefits are increased efficiency of hydrogen recovery and the reduced cost of site selection.
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CellMechBio: the influence of cellular mechanobiology on organ development. Through a set of collaborative interdisciplinary application projects, with open scientific questions, this project aims to develop cutting edge mechanobiological mathematical models of organ development and function.
The expected outcomes of this project are a step-change in the fidelity of multicellular models of three-dimensional tissues and the scientific investigations into the mechanobiological processes regulating ....CellMechBio: the influence of cellular mechanobiology on organ development. Through a set of collaborative interdisciplinary application projects, with open scientific questions, this project aims to develop cutting edge mechanobiological mathematical models of organ development and function.
The expected outcomes of this project are a step-change in the fidelity of multicellular models of three-dimensional tissues and the scientific investigations into the mechanobiological processes regulating organ development, currently not possible, that these models support.
In addition to significant benefits from advances in fundamental mathematical and biological knowledge, this project plans to develop a mechanobiological modelling framework made available to the wider scientific community by an open source release.Read moreRead less
Mathematical models to connect experiments across biological scales. Understanding the function and development of organs is crucial to our understanding of fundamental biology. This project aims to address our inability to connect and understand behaviour between simple and complex biological experiments. This project expects to develop new mathematical theory and models to connect experiments across scales and complexity. Expected outcomes of this project include a new mathematical modelling f ....Mathematical models to connect experiments across biological scales. Understanding the function and development of organs is crucial to our understanding of fundamental biology. This project aims to address our inability to connect and understand behaviour between simple and complex biological experiments. This project expects to develop new mathematical theory and models to connect experiments across scales and complexity. Expected outcomes of this project include a new mathematical modelling framework, and advances in understanding in both biology and mathematics. This should provide significant benefits as using mathematical modelling to understand experimental connections will decrease the time- and financial- costs of performing experiments, while increasing efficiency and insight.Read moreRead less
Australian Laureate Fellowships - Grant ID: FL220100005
Funder
Australian Research Council
Funding Amount
$3,350,000.00
Summary
CellMaps for cell fate decision making systems. The cell is the fundamental unit exhibiting the hallmarks of life. The cell is also a fantastically intricate and complex system: its behaviour is shaped by molecular networks and processes that regulate cellular physiology, and the response of the cell to its environment. This Laureate Fellowship aims to describe and make sense of this complexity mathematically. At this sub-cellular level stochasticity and complex non-linear feedbacks are all perv ....CellMaps for cell fate decision making systems. The cell is the fundamental unit exhibiting the hallmarks of life. The cell is also a fantastically intricate and complex system: its behaviour is shaped by molecular networks and processes that regulate cellular physiology, and the response of the cell to its environment. This Laureate Fellowship aims to describe and make sense of this complexity mathematically. At this sub-cellular level stochasticity and complex non-linear feedbacks are all pervasive. Building on recent advances in mathematics, statistics, theoretical physics, and data science will result in mathematical models of cells, CellMaps, that will generate mechanistic insights into the fundamental dynamical processes underlying cell fate decision making and differentiation. Read moreRead less
Optimising disease surveillance to support decision-making. COVID-19 has demonstrated the critical role of epidemic data and analytics in guiding government response to pandemic threats, reducing disease and saving lives. The demand for epidemic analytics for response to threats of national significance will only grow. The goals of this project are to 1) determine the combination(s) of surveillance methods that provide the most useful data for epidemic analysis and 2) translate these findings in ....Optimising disease surveillance to support decision-making. COVID-19 has demonstrated the critical role of epidemic data and analytics in guiding government response to pandemic threats, reducing disease and saving lives. The demand for epidemic analytics for response to threats of national significance will only grow. The goals of this project are to 1) determine the combination(s) of surveillance methods that provide the most useful data for epidemic analysis and 2) translate these findings into the blueprint for a next-generation infectious disease surveillance system for Australia. We will use a simulation-evaluation approach, coupling methods from infectious disease modelling with those from information theory optimal design. Outcomes will enable more tailored and effective pandemic response.Read moreRead less