Prof Richard Magin: Fractional Calculus Models of Magnetic Resonance Phenomena: Relaxation and Diffusion

Webinar: Friday 1st May 06:00 AM Brisbane. 

Fractional Calculus Models of Magnetic Resonance Phenomena: Relaxation and Diffusion

Movement of molecules – their aggregation and dispersal – is the basis of dynamic processes in all physical systems. Tracking molecular trajectories can provide a picture of the structure of materials. Perturbation of water protons by magnetic fields changes the orientation of magnetic moments in ways characterized by relaxation and diffusion. These changes can be measured and visualized using magnetic resonance imaging (MRI). Analysis of the observed signals requires a mathematical model of the process (linear, stochastic, non-linear, multi-scale). Fractional calculus models are one way to capture the complexity of the underlying system. Here, we examine the application of fractional calculus in MRI to T1 and T2 relaxation and to diffusion-weighted signal decay.

Professor Richard Magin is Distinguised Professor at the Richard and Loan Hill Department of Bioengineering at the University of Chicago Illinois.

The recording of this meeting, with audio transcript, is available for viewing online.