Mathematical modelling in developmental biology. Modern observational techniques in biology and medicine generate a wealth of genetic and molecular detail. Mathematical modelling integrates and synthesises this information to provide insight into how complex biological processes are coupled to produce experimentally observed behaviour. Mathematical modelling generates experimentally testable predictions that can be used to verify the validity of the models. This program is dedicated to exciting ....Mathematical modelling in developmental biology. Modern observational techniques in biology and medicine generate a wealth of genetic and molecular detail. Mathematical modelling integrates and synthesises this information to provide insight into how complex biological processes are coupled to produce experimentally observed behaviour. Mathematical modelling generates experimentally testable predictions that can be used to verify the validity of the models. This program is dedicated to exciting opportunities for advancing our knowledge of normal and abnormal developmental processes, especially in embryonic growth. Understanding these processes will lead to prediction and treatment of congenital disorders and contribute to a healthy start to life. Read moreRead less
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
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
Statistical Methods for Discovering Ribonucleic acids (RNAs) contributing to human diseases and phenotypes. Identifying the causative genetic factors involved in quantitative phenotypes and diseases is a major goal of biology in the 21st century and beyond. A crucial step towards this goal is identifying and classifying the functional non-protein-coding Ribonucleic acids (RNAs) encoded in the human genome. This project will make major contributions to international efforts in this area by identi ....Statistical Methods for Discovering Ribonucleic acids (RNAs) contributing to human diseases and phenotypes. Identifying the causative genetic factors involved in quantitative phenotypes and diseases is a major goal of biology in the 21st century and beyond. A crucial step towards this goal is identifying and classifying the functional non-protein-coding Ribonucleic acids (RNAs) encoded in the human genome. This project will make major contributions to international efforts in this area by identifying RNA molecules that contribute to quantitative phenotypes including susceptibility to disease. As such, it will directly benefit fundamental science via the discovery and classification of new molecules. Indirectly, it will lead to breakthroughs in biology, and consequently to major medical and pharmaceutical advances in the diagnosis and treatment of genetic disease.Read moreRead less
Maximizing Dimensional Efficiency With Minimal Cardinality Pattern Combinations. Making optimal use of dimensional capacity is often fundamental to the efficiency of processes in science and industry. Many important applications use combinations of patterns to achieve this. For example, in paper and in steel manufacturing, reels are divided lengthwise into cutting patterns, combined so as to minimize waste. In medicine, radiation patterns are combined to effectively treat cancerous tumours. ....Maximizing Dimensional Efficiency With Minimal Cardinality Pattern Combinations. Making optimal use of dimensional capacity is often fundamental to the efficiency of processes in science and industry. Many important applications use combinations of patterns to achieve this. For example, in paper and in steel manufacturing, reels are divided lengthwise into cutting patterns, combined so as to minimize waste. In medicine, radiation patterns are combined to effectively treat cancerous tumours. By addressing the common mathematical structure underlying pattern combination, this project will account for a hitherto neglected critical factor - the solution cardinality - making fully optimized solutions available for the first time to many applications in science and industry.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
Multi-scale modelling of cell migration in developmental biology. Interpretative and predictive tools are needed for the comprehensive understanding of directed cell migration in the medical sciences. Mathematical models and modelling methodologies developed in this project will make a significant contribution to the investigation of cell migration and the testing and generation of hypotheses. Such models are needed to understand observed cellular patterns. This project will contribute to knowle ....Multi-scale modelling of cell migration in developmental biology. Interpretative and predictive tools are needed for the comprehensive understanding of directed cell migration in the medical sciences. Mathematical models and modelling methodologies developed in this project will make a significant contribution to the investigation of cell migration and the testing and generation of hypotheses. Such models are needed to understand observed cellular patterns. This project will contribute to knowledge of normal and abnormal developmental processes, especially in embryonic growth. Understanding these processes should lead to prediction and treatment of congenital disorders and contribute to a healthy start to life.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
Special Research Initiatives - Grant ID: SR0354553
Funder
Australian Research Council
Funding Amount
$30,000.00
Summary
Network on Control, Dynamics and Systems (NCDS). Control systems theory provides principles and methods for design of complex engineering systems that automatically maintain desired performance despite changes in their environment (e.g. autopilot in an aircraft). This field is facing many new exciting challenges at the dawn of new millenium, such as design of complex engineering systems in possibly networked, asynchronous and distributed environments. The network will play a major role in addres ....Network on Control, Dynamics and Systems (NCDS). Control systems theory provides principles and methods for design of complex engineering systems that automatically maintain desired performance despite changes in their environment (e.g. autopilot in an aircraft). This field is facing many new exciting challenges at the dawn of new millenium, such as design of complex engineering systems in possibly networked, asynchronous and distributed environments. The network will play a major role in addressing these challenges by providing a national research focus, facilitating collaboration and the sharing of people and ideas. By delivering a National Graduate School, the network will enhance learning conditions for graduate students. Moreover, it will provide an important catalyst between Australian universities and industry. This initiative will be essential in assessing the present state of control research in Australia and drafting a detailed plan for the network's leading research role in the future. Read moreRead less
Neurobiological computation using self organization. Despite their phenomenal power and speed there are many simple things that computers still cannot do, that humans, and indeed many animals, are able to perform effortlessly. The research outlined in this proposal aims to develop new, biologically inspired, computational approaches that attempt to bridge this gap. This research will help place Australia, despite its relatively small size, as a leading research community in the development of ....Neurobiological computation using self organization. Despite their phenomenal power and speed there are many simple things that computers still cannot do, that humans, and indeed many animals, are able to perform effortlessly. The research outlined in this proposal aims to develop new, biologically inspired, computational approaches that attempt to bridge this gap. This research will help place Australia, despite its relatively small size, as a leading research community in the development of the next wave of computing devices. The development of new and "more natural" approaches to computing will deliver large dividends to a range of social, economic and environmental problems.Read moreRead less