Discovery Early Career Researcher Award - Grant ID: DE120100049
Funder
Australian Research Council
Funding Amount
$375,000.00
Summary
New integer programming based theory, formulations and decomposition techniques with applications to integrated problems. Optimisation problems permeate science and industry. By developing new techniques to solve larger and harder problems than is currently possible, more complex questions can be answered, and more accurate solutions obtained. Industries can use such tools to make better financial, resource management, operational, and/or strategic planning decisions.
Discovery Early Career Researcher Award - Grant ID: DE170100234
Funder
Australian Research Council
Funding Amount
$360,000.00
Summary
Exact and hybrid algorithms for the Aircraft Landing Problem. This project aims to develop algorithms with superior guaranteed performance. Aircraft Landing Problems (ALP) are an important class of decision problems. Optimal solution of an ALP is applicable in transportation and health care delivery, benefitting systems experiencing long delays. This project aims to address several of the Australian Government's Science and Research Priorities, focusing on food supply chains, effective operation ....Exact and hybrid algorithms for the Aircraft Landing Problem. This project aims to develop algorithms with superior guaranteed performance. Aircraft Landing Problems (ALP) are an important class of decision problems. Optimal solution of an ALP is applicable in transportation and health care delivery, benefitting systems experiencing long delays. This project aims to address several of the Australian Government's Science and Research Priorities, focusing on food supply chains, effective operation and resource allocation in transport, and better models of health care delivery and services.Read moreRead less
Human skin equivalent constructs: enhanced culturing and application of laboratory-grown skin through mathematical modelling and in silico experimentation. Laboratory-grown human skin equivalent constructs, given social and legislative imperatives, will be critical for advances in novel treatment protocol definitions for wound repair, dermatogical screening of pharmacueticals and fundamental studies of skin diseases.
In silico studies undertaken in this project will make a significant contrib ....Human skin equivalent constructs: enhanced culturing and application of laboratory-grown skin through mathematical modelling and in silico experimentation. Laboratory-grown human skin equivalent constructs, given social and legislative imperatives, will be critical for advances in novel treatment protocol definitions for wound repair, dermatogical screening of pharmacueticals and fundamental studies of skin diseases.
In silico studies undertaken in this project will make a significant contribution to the effectiveness of the application of human skin constructs, by delivering new and deeper insights into the interplay between dependent processes that regulate the behaviour of skin, in vivo or ex vivo. The models and the researchers associated with this project will drive innovative studies in medical science over the next decade.Read moreRead less
A Mathematical Model of the Roles of Contraction and Oxygen in Human Wound Healing. Slow or impaired wound healing and excessive scarring associated with burns are both painful and costly. Moreover, the debilitating effect of chronic wounds can be expected to increase with the continuing aging of the population and the current rise in incidence of Type 2 diabetes. This project brings together a multidisciplinary team to develop a mathematical model of human wound healing and to drive the modelli ....A Mathematical Model of the Roles of Contraction and Oxygen in Human Wound Healing. Slow or impaired wound healing and excessive scarring associated with burns are both painful and costly. Moreover, the debilitating effect of chronic wounds can be expected to increase with the continuing aging of the population and the current rise in incidence of Type 2 diabetes. This project brings together a multidisciplinary team to develop a mathematical model of human wound healing and to drive the modelling to generate important breakthroughs at the level of basic science with implications for both experimentalists and clinicians.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
Creating subject-specific mathematical models to understand the brain. This project aims to develop a mathematical framework that bridges the different scales of brain activities to provide a new tool for understanding the brain. Methods will be developed that unify individual neural activity with large scale brain activity. The approach will be validated by comparing predictions of interconnected models of neural populations (called mean-field models) to experimental data. The creation of subje ....Creating subject-specific mathematical models to understand the brain. This project aims to develop a mathematical framework that bridges the different scales of brain activities to provide a new tool for understanding the brain. Methods will be developed that unify individual neural activity with large scale brain activity. The approach will be validated by comparing predictions of interconnected models of neural populations (called mean-field models) to experimental data. The creation of subject-specific models from data is important, as there is large variability in neural circuits between individuals despite seemingly similar network activity. The intended outcome is new insights into the processes that govern brain function and methods for improving functional imaging of, and interfacing to, the brain.Read moreRead less
Australian Laureate Fellowships - Grant ID: FL210100110
Funder
Australian Research Council
Funding Amount
$3,021,288.00
Summary
New Approaches to Understand How Form and Function Shape Complex Systems. As biology and medicine transform into quantitative sciences, existing mathematical methods are often inadequate to explain the data they generate. This project aims to unlock the potential of such biomedical data through the development of new mathematical approaches that combine concepts from pure and applied mathematics, statistics and data science, and then to investigate their ability to generate mechanistic insight i ....New Approaches to Understand How Form and Function Shape Complex Systems. As biology and medicine transform into quantitative sciences, existing mathematical methods are often inadequate to explain the data they generate. This project aims to unlock the potential of such biomedical data through the development of new mathematical approaches that combine concepts from pure and applied mathematics, statistics and data science, and then to investigate their ability to generate mechanistic insight into fundamental biomedical processes. In this way, the project expects to affect a paradigm shift in mathematical biology while strengthening Australia’s reputation as a world-leader in mathematical biology. An outcome from this project could be new mathematical models that guide decision making in the clinic.Read moreRead less
Mathematical measurement and modelling of neuronal degeneration. Currently about 150,000 Australian's suffer from cognitive impairment due to Alzheimer's disease or dementia and this number is expected to double over the next few decades. By combining newly developed mathematical methods in complex systems with sophisticated neural imaging we will develop new techniques to advance the diagnosis and treatment of cognitive decline in normal ageing and neurodegenerative disease.
This project will ....Mathematical measurement and modelling of neuronal degeneration. Currently about 150,000 Australian's suffer from cognitive impairment due to Alzheimer's disease or dementia and this number is expected to double over the next few decades. By combining newly developed mathematical methods in complex systems with sophisticated neural imaging we will develop new techniques to advance the diagnosis and treatment of cognitive decline in normal ageing and neurodegenerative disease.
This project will also maintain the collaborative link between researchers in Biomathematics at Mount Sinai School of Medicine, New York and researchers in Applied Mathematics at UNSW that enables training of Australian scientists in the vital area of mathematical bio-complexity.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE160100227
Funder
Australian Research Council
Funding Amount
$355,481.00
Summary
Experimentally validated multiphase mathematical models of leg ulcers. The project is designed to develop mathematical models of the complex biological processes of leg ulcer formation and healing. The project intends to combine mathematical techniques from fluid dynamics, mathematical biology, numerical analysis and statistical inference to develop novel, multiphase, validated mathematical models that capture the complex spatiotemporal evolution of cellular and chemical species during the forma ....Experimentally validated multiphase mathematical models of leg ulcers. The project is designed to develop mathematical models of the complex biological processes of leg ulcer formation and healing. The project intends to combine mathematical techniques from fluid dynamics, mathematical biology, numerical analysis and statistical inference to develop novel, multiphase, validated mathematical models that capture the complex spatiotemporal evolution of cellular and chemical species during the formation and healing of a leg ulcer – biological processes which are currently poorly understood. The mathematical models are expected to provide new insight into the underlying biological mechanisms of leg ulcers and may ultimately improve management of chronic wounds.Read moreRead less