Interaction of light with tissues: A hyper-spectral approach . This project aims to address an important problem of noncontact assessment of tissue including skin and cartilage. By using extremely wide spectrum – between the terahertz and the near infrared – the effects of scattering and absorption arising from the variation of tissue properties from macro- to nano-scale will be explored. Spatial variations of tissue properties will be addressed in model and experiment by combining spectroscopy ....Interaction of light with tissues: A hyper-spectral approach . This project aims to address an important problem of noncontact assessment of tissue including skin and cartilage. By using extremely wide spectrum – between the terahertz and the near infrared – the effects of scattering and absorption arising from the variation of tissue properties from macro- to nano-scale will be explored. Spatial variations of tissue properties will be addressed in model and experiment by combining spectroscopy with the novel terahertz and mid-infrared Scanning Near field Optical Microscopy. The outcomes will advance fundamental understanding of light interaction with multi-layered tissues. This will provide a tool for advancing bioengineering research, terahertz technology, and development in biomedical devices.Read moreRead less
The fundamental equations for inversion of operator pencils. This project seeks to deepen understanding of how complex systems may be significantly changed by incremental changes to ambient conditions. Mathematical models of complex systems (climate change processes, optimal driving strategies, efficient distribution policies, effective search routines) often depend on key parameters. If small perturbations to the parameters cause large changes to the solution, then the perturbations are said to ....The fundamental equations for inversion of operator pencils. This project seeks to deepen understanding of how complex systems may be significantly changed by incremental changes to ambient conditions. Mathematical models of complex systems (climate change processes, optimal driving strategies, efficient distribution policies, effective search routines) often depend on key parameters. If small perturbations to the parameters cause large changes to the solution, then the perturbations are said to be singular. This project aims to reveal the underlying mathematical structures and develop new computational algorithms to analyse a general class of perturbed systems both locally near an isolated singularity and globally. It plans to use these algorithms to solve systems of equations, calculate generalised inverse operators, examine perturbed Markov processes, and estimate exit times from meta-stable states in stochastic population dynamics.Read moreRead less
From genes to organ function: understanding how heterogeneity in tissue modulates cellular behaviour in the heart. New computational and software engineering approaches are developed to model the electrophysiological variability of the heart and the mechanisms inducing arrhythmias. A significant outcome is a set of practical tools vital to cardiac research that provide medical specialists the ability to test hypotheses on low-cost powerful computing hardware.
Image-based Multiscale Modelling of Transport Phenomena in Porous Media. This project aims to develop an innovative general framework to build multiphase porous media transport models directly from electron microscope images of the underlying microstructure. Leading edge experimental, computational and applied mathematical techniques are proposed to drive this novel approach of multiscale modelling, employable across numerous fields of science and engineering. The central project theme of develo ....Image-based Multiscale Modelling of Transport Phenomena in Porous Media. This project aims to develop an innovative general framework to build multiphase porous media transport models directly from electron microscope images of the underlying microstructure. Leading edge experimental, computational and applied mathematical techniques are proposed to drive this novel approach of multiscale modelling, employable across numerous fields of science and engineering. The central project theme of developing an efficient and accurate multiscale model for simulating transport in heterogeneous porous media is expected to find application in the drying, timber and crop industries, and governmental agencies managing pollution in groundwater resources. This insight is likely to be invaluable for designing new industrial technologies and optimising current operations.Read moreRead less