Patient-specific Computational Tools for Diagnosing and Treating Gait Disorders in Children with Cerebral Palsy. This proposal addresses one of the most fundamental and difficult questions related to the treatment of children with cerebral palsy: Why do these children walk in a crouched position, with excessively bent hips and knees? High-fidelity, patient-specific computer simulations of walking can help to answer this question and, in so doing, can improve the outcomes of orthopaedic surgeries ....Patient-specific Computational Tools for Diagnosing and Treating Gait Disorders in Children with Cerebral Palsy. This proposal addresses one of the most fundamental and difficult questions related to the treatment of children with cerebral palsy: Why do these children walk in a crouched position, with excessively bent hips and knees? High-fidelity, patient-specific computer simulations of walking can help to answer this question and, in so doing, can improve the outcomes of orthopaedic surgeries designed to correct movement abnormalities in these patients. Realistic computer simulations of human movement can play a pivotal role in healthcare through patient rehabilitation; in sports, through the development of personalized training programs for elite athletes; and in entertainment, through the creation of video games and animated films.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
Multiscale models in immuno-epidemiology. The spread of a pathogen (for example, a virus or bacteria) through a population is a multi-scale phenomena, influenced by factors acting at both the population and within-host scales. At the population scale, transmission is influenced by how infectious an infected host is. Infectiousness in turn depends on the balance between pathogen replication within the host and immune/drug control mechanisms. This project aims to develop new mathematical framework ....Multiscale models in immuno-epidemiology. The spread of a pathogen (for example, a virus or bacteria) through a population is a multi-scale phenomena, influenced by factors acting at both the population and within-host scales. At the population scale, transmission is influenced by how infectious an infected host is. Infectiousness in turn depends on the balance between pathogen replication within the host and immune/drug control mechanisms. This project aims to develop new mathematical frameworks for simultaneously modelling these two scales. This will provide a platform for the rigorous study of complex biological interactions - such as the emergence and combat of drug-resistance - that shape society's ability to control infectious diseases in human, animal and plant systems.Read moreRead less
Stochastic modelling of telomere length regulation in ageing research. This project will design innovative stochastic models to explore the molecular mechanisms governing telomere length regulation and their critical roles in determining cell fate. Computer simulations will provide testable predictions regarding the crucial functions of noise in generating the heterogeneity of telomere length.
Fractional dynamic models for MRI to probe tissue microstructure. This project aims to develop new mathematical tools for mapping tissue microstructural properties via the use of space-time fractional calculus methods. In magnetic resonance imaging, mathematical models and their parameters play a key role in associating information between images and biology, with the overall aim of producing spatially resolved maps of tissue property variations. However, models which can inform on changes in mi ....Fractional dynamic models for MRI to probe tissue microstructure. This project aims to develop new mathematical tools for mapping tissue microstructural properties via the use of space-time fractional calculus methods. In magnetic resonance imaging, mathematical models and their parameters play a key role in associating information between images and biology, with the overall aim of producing spatially resolved maps of tissue property variations. However, models which can inform on changes in microscale tissue properties are lacking. The tools developed by this project will be used to generate new magnetic resonance image based maps to convey information on tissue microstructure changes in the human brain. Additionally, the mathematical tools developed will be transferable to other applications where diffusion and transport in heterogeneous porous media play a role.Read moreRead less
Channel Assignment in Cellular Communication Systems and Optical Networks. Due to the rapid growth in mobile communications, efficient management of the scarce radio spectrum has emerged as an important issue. To avoid interference various conditions need to be satisfied by channels assigned to the transmitters in a cellular communication network. This project targets optimal assignments under such constraints, and similar problems for optical networks. Its implementation will have potential app ....Channel Assignment in Cellular Communication Systems and Optical Networks. Due to the rapid growth in mobile communications, efficient management of the scarce radio spectrum has emerged as an important issue. To avoid interference various conditions need to be satisfied by channels assigned to the transmitters in a cellular communication network. This project targets optimal assignments under such constraints, and similar problems for optical networks. Its implementation will have potential applications in computer and telecommunication industries, and advance significantly our knowledge on relevant subjects of mathematics and operations research. 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
Modelling and estimation methods for discrete multi-dimensional systems. Multi-dimensional signal processing plays a role in a variety of application areas, ranging from remote sensing for environmental monitoring and geological mapping, to medical imaging and the automatic control of industrial processes. The success of the project will provide mathematical tools for the advancement of the state-of-the-art in these broad areas.
Complexity-manageable methodologies and efficient computational tools for analysis and design of large-scale systems. The tools to be developed in this project have impact on a broad range of disciplines, including system analysis, feedback control technology, signal processing, communication network, and information theory. Practically, the success of this project will create cutting edge technologies applicable to design and management of important infrastructures of the modern society such as ....Complexity-manageable methodologies and efficient computational tools for analysis and design of large-scale systems. The tools to be developed in this project have impact on a broad range of disciplines, including system analysis, feedback control technology, signal processing, communication network, and information theory. Practically, the success of this project will create cutting edge technologies applicable to design and management of important infrastructures of the modern society such as communication networks, transportation systems, electrical power grids, and collaborative intelligent machines, and water distribution networks. Success of this project will bring novel methodologies and computational tools which help engineers to systematically design and validate the performance of their engineering systems.Read moreRead less
Robustness Analysis and Control Design of Distributed and Networked Systems. The theory and computational tools to be developed in this project have impact on a broad range of areas, including various engineering disciplines, biology, and medical and environmental sciences. In terms of practical interests, this project will create cutting edge technologies which are applicable to important infrastructures of the modern society such as communication networks, transportation systems, electrical po ....Robustness Analysis and Control Design of Distributed and Networked Systems. The theory and computational tools to be developed in this project have impact on a broad range of areas, including various engineering disciplines, biology, and medical and environmental sciences. In terms of practical interests, this project will create cutting edge technologies which are applicable to important infrastructures of the modern society such as communication networks, transportation systems, electrical power grids, collaborative intelligent machines, and water distribution networks. Read moreRead less