Inverse problems with partial data. This project aims to use mathematics, in particular the theory of micro-local analysis, to determine the amount of measurements one needs in order to reconstruct an image by some of the tomography methods commonly used in medical imaging. Expected outcomes of this project include showing that an arbitrarily small set of boundary measurements is sufficient to reconstruct the coefficients of various important partial differential equations such as Schrodinger eq ....Inverse problems with partial data. This project aims to use mathematics, in particular the theory of micro-local analysis, to determine the amount of measurements one needs in order to reconstruct an image by some of the tomography methods commonly used in medical imaging. Expected outcomes of this project include showing that an arbitrarily small set of boundary measurements is sufficient to reconstruct the coefficients of various important partial differential equations such as Schrodinger equation, Dirac operators, and Maxwell equations. In addition to providing a theoretical foundation upon which one can build numerical algorithms, this project will also provide the missing link between inverse problems and unique continuation theory. The downstream impact of this research will lead to more efficient and accurate tomography methods which can be implemented in a range of imaging applications.Read moreRead less
Detection of infrared-biomarkers for the diagnosis and treatment of canine neoplasia. This research hopes to discover infrared-biomarkers for canine cancers using synchrotron infrared and laser light. Many dog cancers are similar to human cancers so cancerous tissues and cells from dogs make excellent models for human cancer research. This project will provide new insights and technological approaches to cancer diagnosis and treatment.
Coupling biophotonic modalities with machine based recognition systems for disease diagnosis. This project will develop new ways to diagnose canine cancer, malaria and atherosclerosis using infrared-based technology and sophisticated pattern recognition techniques in the hope to discover infrared biomarkers that will lead to early diagnosis of the disease and ultimately save lives.
Discovery Early Career Researcher Award - Grant ID: DE120101331
Funder
Australian Research Council
Funding Amount
$375,000.00
Summary
Fundamental electromagnetic modelling of light-biological tissue interactions: a platform for future medical microscopy. Methods for modelling the fundamental electromagnetic interaction of light with biological tissue will be developed. This will allow a range of biomedical optical images to be properly interpreted ultimately leading to the holy grail of quick and minimally invasive methods for detecting cancer.