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Sep 18 2020

9/18 – Richard Magin, UIC

September 18, 2020

12:00 PM - 1:00 PM


Chicago, IL

Watch this webinar live with Zoom>>

Title: Fractional Calculus Models of Magnetic Resonance Phenomena: Relaxation and Diffusion

Abstract: The movements of molecules – their aggregation and dispersal – are the basis of dynamic processes in all physical systems. Tracking molecular trajectories can provide a picture of the structure and composition of heterogeneous materials, a macroscopic image of microscopic features. Perturbation of water protons by magnetic fields changes their molecular motion in ways that can be viewed using magnetic resonance imaging (MRI) – providing contrast characterized by relaxation and diffusion. The contrast can be modulated by electric, dielectric, or viscoelastic methods and the interaction also visualized using magnetic resonance techniques. Analysis of the observed signals requires a mathematical model (linear, stochastic, non-linear, multi-scale) of the sub-voxel interaction between, for example, tissue water and cellular structures. Fractional calculus models are one way to capture the complexity of the underlying system. Here, we examine the application of fractional calculus to MRI for T1 and T2 relaxation and to diffusion-weighted signal decay in animal and human subjects.


Date posted

Sep 1, 2020

Date updated

Oct 16, 2020