Development of population-level algorithms for modelling genomic variation and its impact on cellular function in animals and plants. The purpose of this project is to develop mathematical and computational tools which will enable researchers to model high-throughput biological data at the population level. These models will be used to uncover the effect that genetic variation has on the physiology of the cell and the organism.
Representation theory of diagram algebras and logarithmic conformal field theory. Generalized models of polymers and percolation are notoriously difficult to handle mathematically, but can be described and solved using diagram algebras and logarithmic conformal field theory. Potential applications include polymer-like materials, filtering of drinking water, spatial spread of epidemics and bushfires, and tertiary recovery of oil.
Representation theory in exactly solvable systems. This project aims to develop the representation theory of Lie and generalised Lie algebras related to exactly solvable models. The project will exploit several innovative ideas on the structure of quadratic algebras, Casimir invariants, differential operator realisations, roots systems, characters and indecomposable representations. This will give fundamental mathematical insight and allow the construction of new, exactly solvable models. This w ....Representation theory in exactly solvable systems. This project aims to develop the representation theory of Lie and generalised Lie algebras related to exactly solvable models. The project will exploit several innovative ideas on the structure of quadratic algebras, Casimir invariants, differential operator realisations, roots systems, characters and indecomposable representations. This will give fundamental mathematical insight and allow the construction of new, exactly solvable models. This will have an impact on theoretical physics as exactly solvable models play a central role in our understanding of a plethora of physical phenomena.Read moreRead less
Supersymmetry and supergravity: new approaches and applications. This project aims to advance our understanding of supersymmetric quantum field, gravity, and higher-spin theories. Supersymmetry and supergravity play crucial roles in modern developments in fundamental particle physics and cosmology. They also have rich connections with many branches of mathematical physics. Major conceptual questions in the description of general supergravity-matter couplings are still unsolved. By performing sta ....Supersymmetry and supergravity: new approaches and applications. This project aims to advance our understanding of supersymmetric quantum field, gravity, and higher-spin theories. Supersymmetry and supergravity play crucial roles in modern developments in fundamental particle physics and cosmology. They also have rich connections with many branches of mathematical physics. Major conceptual questions in the description of general supergravity-matter couplings are still unsolved. By performing state of the art analysis in supergravity and holographic dualities, the project will advance our understanding of quantum gravity, black holes, and cosmology placing Australia at the forefront of these important research fields.Read moreRead less
Scalable and Robust Bayesian Inference for Implicit Statistical Models. This project aims to develop the next generation of efficient methods for fitting complex simulation-based statistical models to data. Practitioners and scientists are interested in such implicit models to enable discoveries, produce accurate predictions and inform decisions under uncertainty. However, the associated computational cost has restricted researchers to implicit models that must have a small number of parameters ....Scalable and Robust Bayesian Inference for Implicit Statistical Models. This project aims to develop the next generation of efficient methods for fitting complex simulation-based statistical models to data. Practitioners and scientists are interested in such implicit models to enable discoveries, produce accurate predictions and inform decisions under uncertainty. However, the associated computational cost has restricted researchers to implicit models that must have a small number of parameters and be well specified, impeding scientific progress. This project will develop new computational methods and algorithms for implicit models that scale to high dimensions and are robust to misspecification. Benefits will arise from the more routine use of implicit models in epidemiology, biology, ecology and other fields.Read moreRead less
Advanced computer simulations of star cluster evolution. The topic of this fellowship is dynamical simulations of star clusters using high-end graphics cards originally developed for the computer gaming industry. The proposed fellowship will thereby enhance Australia's capacity in the exploitation of high-performance computing and will give it a strong position in the new field of graphics card based simulations. The computer cluster built during the fellowship will also be an outstanding enviro ....Advanced computer simulations of star cluster evolution. The topic of this fellowship is dynamical simulations of star clusters using high-end graphics cards originally developed for the computer gaming industry. The proposed fellowship will thereby enhance Australia's capacity in the exploitation of high-performance computing and will give it a strong position in the new field of graphics card based simulations. The computer cluster built during the fellowship will also be an outstanding environment for the training of students. In addition, while Australia has a strong tradition in star cluster astronomy, it has so far not captured a leadership role in the theoretical analysis. The four years of this fellowship will allow it to establish a world-leading position in star cluster simulations.Read moreRead less
Innovative multiscale modelling to explore mechanical properties of single living cells. This project will develop a new modelling platform to explore the relationship between living cell mechanical properties, their response to mechanical loads and their biological functions. Providing knowledge beyond current experimental measurements, this model will support studies into new treatments and preventions for diseases.
Theoretical modelling and design of safe covalent anti-cancer drugs. Covalent drugs are a new class of drugs with outstanding potential in cancer therapy. Detailed computer modelling studies will be performed to determine how these drugs interact with an important target in cancer therapy, the epithelial growth factor receptor, and thereby aid the development of new cancer treatments.
Bioactive Peptides as Pharmacological Tools and Novel Drug Leads. Bioactive peptides are produced by all organisms and play numerous critical physiological roles, including in cellular communication, host defence and capture of prey. Peptides have huge potential as tools for studying roles of signalling pathways and as novel drugs due to their high affinity and selectivity for various therapeutically relevant targets. However their use has been limited by poor in vivo stability. This project is ....Bioactive Peptides as Pharmacological Tools and Novel Drug Leads. Bioactive peptides are produced by all organisms and play numerous critical physiological roles, including in cellular communication, host defence and capture of prey. Peptides have huge potential as tools for studying roles of signalling pathways and as novel drugs due to their high affinity and selectivity for various therapeutically relevant targets. However their use has been limited by poor in vivo stability. This project is focused on studying structural features of a range of peptides and their contributions to both activity and to resistance against degradation, with the aim to develop stabilised bioactive peptide sequences for in vivo applications, allowing the full potential of peptides as drugs to be realised.Read moreRead less
The Systems Biochemistry of Adaptation in Cellular Protein Networks. A living cell must process and interpret a host of diverse signals using a complex network of interacting proteins inside the cell. The detailed molecular mechanisms by which cells exhibit adaptation to these signals remains a fundamental question in biology. This project aims to develop a novel mathematical framework for analysing the capacity of intracellular protein interactions to contribute to cellular adaptation, along ....The Systems Biochemistry of Adaptation in Cellular Protein Networks. A living cell must process and interpret a host of diverse signals using a complex network of interacting proteins inside the cell. The detailed molecular mechanisms by which cells exhibit adaptation to these signals remains a fundamental question in biology. This project aims to develop a novel mathematical framework for analysing the capacity of intracellular protein interactions to contribute to cellular adaptation, along with a novel methodology for validating mathematical models against experimental data. These innovations offer a completely fresh approach to identifying and modulating the adaptive capacities of living cells, which may contribute to overcoming the problem of drug resistance in future therapeutic development.
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