Fractional dynamic models for MRI to probe tissue microstructure (ARC Discovery Project administered by the Queensland University of Technology) (2019–2022)
Mathematical models have continually been developed to improve our understanding of physical and biological
processes. 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. We will develop new mathematical tools for mapping tissue microstructural properties via the use of
space-time fractional calculus methods. The tools developed herein will be used to generate new magnetic
resonance image based maps to convey information on tissue microstructure changes in the human brain.