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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.
How can cultural innovations trigger the emergence of new diseases? This project aims to develop new mathematical and computational models to examine whether cultural innovations creates conditions for the emergence of new diseases. It will combine elements of microbial evolution and cultural evolution to advance a new modelling framework to consider their joint dynamics. The expected outcome is an enhanced understanding of how human behaviour influences the emergence of infections. This will br ....How can cultural innovations trigger the emergence of new diseases? This project aims to develop new mathematical and computational models to examine whether cultural innovations creates conditions for the emergence of new diseases. It will combine elements of microbial evolution and cultural evolution to advance a new modelling framework to consider their joint dynamics. The expected outcome is an enhanced understanding of how human behaviour influences the emergence of infections. This will bring benefits of computational models for broad use in understanding complex population processes, and training to maintain mathematical and computational skills in the Australian workforce.
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How microbes build their environments through evolutionary feedback. The fitness landscape, a key evolutionary concept, relates genes or traits to reproductive fitness. However, this has been challenged by organisms that distort the landscape by changing their environments. This project aims to develop a new mathematical model that restores the landscape concept by extending it to accommodate niche construction. This framework will be applied to microorganisms that alter their environments, for ....How microbes build their environments through evolutionary feedback. The fitness landscape, a key evolutionary concept, relates genes or traits to reproductive fitness. However, this has been challenged by organisms that distort the landscape by changing their environments. This project aims to develop a new mathematical model that restores the landscape concept by extending it to accommodate niche construction. This framework will be applied to microorganisms that alter their environments, for example, by provoking and subverting the host immune system, and by inducing behavioural change in hosts. These processes alter how natural selection operates on microbes and thus lead to important evolutionary feedback. The model will be used to examine antibiotic resistance, pathogen virulence and how microbiomes develop.Read moreRead less
New mathematics for lipids and cells: structured models for atherosclerosis. The project aims to create new mathematical theory for immune cell behaviour which leads to heart attacks and strokes. This includes formulation and analysis of new types of mathematical models for atherosclerotic plaque development, leading to the creation of new mathematical tools to investigate cell fate in plaques and to generate new hypotheses for experimental research. Expected outcomes of this project include po ....New mathematics for lipids and cells: structured models for atherosclerosis. The project aims to create new mathematical theory for immune cell behaviour which leads to heart attacks and strokes. This includes formulation and analysis of new types of mathematical models for atherosclerotic plaque development, leading to the creation of new mathematical tools to investigate cell fate in plaques and to generate new hypotheses for experimental research. Expected outcomes of this project include powerful and reliable mathematical models ready for application, and national and international collaborations with scientists and mathematicians. This should provide significant benefits including increased capacity to use mathematical models in vascular biology and training young researchers in interdisciplinary methods.Read moreRead less
Space, time and boundary conditions: Mathematics for evolving plaques. This project aims to create new mathematical theory to model the morphology of atherosclerotic plaques, which cause heart attacks and strokes, as plaques grow or regress. The project expects to devise new mathematical tools for formulating novel spatial models for cellular processes inside the plaque. These should give a new window into plaque growth and spatial structures . Expected outcomes include powerful and reliable mat ....Space, time and boundary conditions: Mathematics for evolving plaques. This project aims to create new mathematical theory to model the morphology of atherosclerotic plaques, which cause heart attacks and strokes, as plaques grow or regress. The project expects to devise new mathematical tools for formulating novel spatial models for cellular processes inside the plaque. These should give a new window into plaque growth and spatial structures . Expected outcomes include powerful and reliable mathematical models, new tools to understand plaque evolution, and national and international collaborations with scientists and mathematicians. This should provide significant benefits including increased capacity to use mathematical models in vascular biology and training young researchers in interdisciplinary methods.
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Discovery Early Career Researcher Award - Grant ID: DE220100284
Funder
Australian Research Council
Funding Amount
$444,000.00
Summary
Multiscale mathematical modelling to gain insights into hepatitis viruses. This project aims to use mathematical modelling to study hepatitis viruses at multiple levels. The project expects to develop complex yet analysable mathematical models to comprehend the fundamental biology of hepatitis viruses by elucidating longitudinal patterns in viral and immune markers at intracellular and cellular levels, and advance a new subfield in mathematical biology, i.e., modelling codependent human viruses. ....Multiscale mathematical modelling to gain insights into hepatitis viruses. This project aims to use mathematical modelling to study hepatitis viruses at multiple levels. The project expects to develop complex yet analysable mathematical models to comprehend the fundamental biology of hepatitis viruses by elucidating longitudinal patterns in viral and immune markers at intracellular and cellular levels, and advance a new subfield in mathematical biology, i.e., modelling codependent human viruses. Expected outcomes of the project include new generalized mathematical tools, biological insights that may aid research beyond the scope of this project, and strong interdisciplinary collaborations. Expected benefits include an increased capacity of the research community in Australia to use mathematical models in virology.Read moreRead less
Advances in data integration modelling for infectious disease response. This project aims to develop powerful mathematical frameworks that integrate data from multiple sources to facilitate informed decisions in response to the threat of present, and future, infectious diseases. The project expects to generate new knowledge in mathematics by advancing the tools for incorporating multiple data sources into models of infectious diseases. The expected outcomes include enhanced capacity to predict s ....Advances in data integration modelling for infectious disease response. This project aims to develop powerful mathematical frameworks that integrate data from multiple sources to facilitate informed decisions in response to the threat of present, and future, infectious diseases. The project expects to generate new knowledge in mathematics by advancing the tools for incorporating multiple data sources into models of infectious diseases. The expected outcomes include enhanced capacity to predict spatiotemporal changes in transmission of infectious diseases. This project should provide significant benefits in the advancement of modelling techniques broadly applicable to infectious disease settings, which will be demonstrated for antimalarial drug resistance – a major threat to malaria elimination.
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Dynamics of atherosclerotic plaque formation, growth and regression. This project aims to provide a mathematical framework to interpret plaque growth. Many biological processes contribute to the growth of atherosclerotic plaques inside arteries. Lipoproteins enter the artery walls and stimulate tissues to signal to cells which duly respond so that fatty streaks form and grow into dangerous plaques that cause heart attacks or stroke. These processes are often nonlinear and operate on widely varyi ....Dynamics of atherosclerotic plaque formation, growth and regression. This project aims to provide a mathematical framework to interpret plaque growth. Many biological processes contribute to the growth of atherosclerotic plaques inside arteries. Lipoproteins enter the artery walls and stimulate tissues to signal to cells which duly respond so that fatty streaks form and grow into dangerous plaques that cause heart attacks or stroke. These processes are often nonlinear and operate on widely varying time scales. The project plans to use systems of ordinary differential equations, partial differential equations with non-standard boundary conditions, and bifurcation theory to find how nonlinear processes shape plaque growth. The expected results may demonstrate the importance of bifurcations, dynamics and nonlinear systems in plaque growth and provide new models to interpret biological data.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
Determining features that separate groups of protein sequences. This project aims to develop mathematical approaches for determining features that distinguish one group of proteins from another, based on their amino acid sequences. The groups of sequences will reflect different outcomes, so that identifying the fundamental features can result in targeted interventions against the poorer outcome. A simple comparison at each position or of known features can fail to determine robust differentiator ....Determining features that separate groups of protein sequences. This project aims to develop mathematical approaches for determining features that distinguish one group of proteins from another, based on their amino acid sequences. The groups of sequences will reflect different outcomes, so that identifying the fundamental features can result in targeted interventions against the poorer outcome. A simple comparison at each position or of known features can fail to determine robust differentiators and so more complex methods are required. The project will, for example, help identify HIV vaccine targets by comparing early HIV transmission sequences from those in chronic infection. The methods will be applicable to viral proteins where high mutation rates make this task even more complex.Read moreRead less